Last update:
Mon Aug 26 13:05:57 MDT 2024
R. A. Good Systems of Linear Relations . . . . . . 1--31
W. Warwick Sawyer Pressures on American Mathematics
Teachers . . . . . . . . . . . . . . . . 32--37
T. N. E. Greville The Pseudoinverse of a Rectangular or
Singular Matrix and Its Application to
the Solution of Systems of Linear
Equations . . . . . . . . . . . . . . . 38--43
Walter P. Reid Finite Transforms . . . . . . . . . . . 44--46
B. W. Lindgren On Samulon's Formula for Frequency
Response from Step Response . . . . . . 47--49
Paul A. Clement A Class of Triple-Diagonal Matrices for
Test Purposes . . . . . . . . . . . . . 50--52
H. Manvel Semarne New Direct Method of Solution of a
System of Simultaneous Linear Equations 53--54
Benjamin A. Dent and
Albert Newhouse Polynomials Orthogonal over Discrete
Domains . . . . . . . . . . . . . . . . 55--59
T. J. Rivlin Smooth Interpolation . . . . . . . . . . 60--63
J. S. Lomont and
R. A. Willoughby Dominant Eigenvectors of a Class of Test
Matrices . . . . . . . . . . . . . . . . 64--65
George E. Forsythe Reprint of a Note on Rounding-Off Errors 66--67
Mary Johnson and
M. S. Klamkin The Ballot Problem . . . . . . . . . . . 68--69
Maurice Eisenstein and
M. S. Klamkin $N$-Dimensional Volume . . . . . . . . . 69--70
Paul Brock Optimum Sorting Procedure . . . . . . . 70--71
Gordon Raisbeck Minimum-Loss Two Conductor Transmission
Lines . . . . . . . . . . . . . . . . . 71--71
Ky Fan Book Review: \booktitleVector Spaces and
Matrices (Robert M. Thrall and Leonard
Tornheim) . . . . . . . . . . . . . . . 72--73
Willis A. Soper, Jr. Book Review: \booktitleSurveys in
Mechanics (G. K. Batchelor and R. M.
Davies) . . . . . . . . . . . . . . . . 73--74
R. D. James Book Review: \booktitleTrigonometric
Series (R. L. Jeffery) . . . . . . . . . 74--75
Benjamin Epstein Book Review: \booktitleIntroduction to
Statistical Analysis (W. J. Dixon and F.
J. Massey, Jr.) . . . . . . . . . . . . 75--77
Saul Gorn Book Review: \booktitlePrinciples and
Techniques of Applied Mathematics
(Bernard Friedman) . . . . . . . . . . . 77--78
Tjalling C. Koopmans and
Augustus F. Bausch Selected Topics in Economics Involving
Mathematical Reasoning . . . . . . . . . 79--148
J. Ernest Wilkins, Jr. Conduction of Heat in an Insulated
Spherical Shell with Arbitrary
Spherically Symmetric Sources . . . . . 149--153
Lowell Schoenfeld On Integrals of the Type $ \int_0^\infty
f(x) \log | \frac {x + 1x - 1}| d x $ 154--157
Walter P. Reid Vibrating String of Varying Length . . . 158--159
E. J. Scott An Eigenfunction Series Solution of a
Certain Hyperbolic Partial Differential
Equation . . . . . . . . . . . . . . . . 160--166
F. Max Stein Orthogonal Functions whose $k$ th
Derivatives are Also Orthogonal . . . . 167--170
Raphael Miller A Minimum Switching Network . . . . . . 171--172
M. S. Klamkin The Smallest Escape Asteroid . . . . . . 172--172
D. J. Newman A Minimum Time Path . . . . . . . . . . 172--173
William H. Kaijtz A Sorting Problem . . . . . . . . . . . 173--173
Benjamin Epstein Book Review: \booktitleNonparametric
Methods in Statistics (D. A. S. Fraser) 174--175
W. Barkley Fritz Book Review: \booktitleNumerical
Analysis (Kaiser S. Kunz) . . . . . . . 175--176
Aloysius J. Polaneczky Book Review: \booktitleAnalysis for
Production Management (E. H. Bowman and
R. B. Fetter) . . . . . . . . . . . . . 176--176
T. Singer Book Review: \booktitleDigital Computer
Programming (D. D. McCracken) . . . . . 176--177
G. T. Thompson Book Review: \booktitleThe Numerical
Solution of Two-Point Boundary Problems
in Ordinary Differential Equations (L.
Fox) . . . . . . . . . . . . . . . . . . 177--178
Herbert E. Scarf Book Review: \booktitleGames and
Decisions (R. D. Luce and H. Raiffa) . . 178--179
J. B. Diaz Book Review: \booktitleDifferential
Equations: Geometric Theory (Solomon
Lefschetz) . . . . . . . . . . . . . . . 179--181
Robert McNaughton Book Review: \booktitleSwitching
Circuits and Logical Design (Samuel H.
Caldvvell) . . . . . . . . . . . . . . . 181--182
F. H. Brownell Book Review: \booktitleOrdinary
Difference-Differential Equations
(Edmond Pinney) . . . . . . . . . . . . 182--184
Ingram Olkin Book Review: \booktitleSome Aspects Of
Multivariate Analysis (S. N. Roy) . . . 184--184
James E. Kelley, Jr. Modern Computing Methods . . . . . . . . 185--186
D. Y. Barrer Book Review: \booktitleQueues,
Inventories and Maintenance (Philip M.
Morse) . . . . . . . . . . . . . . . . . 186--187
D. L. Thomsen, Jr. Report of the President for 1959 . . . . 1--2
R. E. Gaskell Professional Mathematicians in
Government and Industry . . . . . . . . 3--10
F. A. Ficken Linear and Nonlinear Equations; Local
and Global Properties . . . . . . . . . 11--14
T. N. E. Greville Some Applications of the Pseudoinverse
of a Matrix . . . . . . . . . . . . . . 15--22
Joel L. Ekstrom On Infinite Integrals Containing
Products of Bessel Functions . . . . . . 23--26
T. J. Rivlin A Note on Smooth Interpolation . . . . . 27--30
David S. Stoller Fitting Position Data to Minimize
Velocity Errors . . . . . . . . . . . . 31--35
A. B. Farnell Characteristic Root Bounds of
Gerschgorin Type . . . . . . . . . . . . 36--38
G. H. F. Gardner Steady-State Diffusion-Convection . . . 39--40
Paul Brock On a Binomial Identity Arising from a
Sorting Problem . . . . . . . . . . . . 40--40
M. S. Klamkin A Center of Gravity Perturbation . . . . 41--41
I. J. Schoenberg Book Review: \booktitle$N$-Dimensional
Volume (Maurice Eisenstein and M. S.
Klamkin) . . . . . . . . . . . . . . . . 41--45
T. F. Green Book Review: \booktitleHandbook of
Automation, Computation, and Control (E.
M. Grabbe, S. Ramo, and D. E.
Wooldridge) . . . . . . . . . . . . . . 46--48
Philip R. Monson Book Review: \booktitleAnalysis of
Straight Line Data (Forman S. Acton) . . 48--49
Ramon E. Moore Book Review: \booktitleOn Numerical
Approximation (Proceedings of a
Symposium) (R. E. Langer, ed.) . . . . . 49--50
Seymour Schuster Book Review: \booktitleOrdinary
Differential Equations (Wilfred Kaplan) 50--52
Maria Schniewind Book Review: \booktitleAutomation and
Computing (A. D. Booth) . . . . . . . . 52--54
Solomon Kullback Book Review: \booktitleAn Introduction
to Combinatorial Analysis (John Riordan) 54--54
Jack O. Rogers Book Review: \booktitleAnalyses of
Industrial Operations (Edward H. Bowman
and Robert B. Fetter) . . . . . . . . . 55--56
Clement Winston Book Review: \booktitleReadings In
Linear Programming (S. Vajda) . . . . . 56--57
Anonymous News and Notices . . . . . . . . . . . . 58--76
Arthur Mayer Rotations and Their Algebra . . . . . . 77--122
Frank Harary Some Historical and Intuitive Aspects of
Graph Theory . . . . . . . . . . . . . . 123--131
George Swift A Comment on Matrix Inversion by
Partition . . . . . . . . . . . . . . . 132--133
Robert T. Gregory Defective and Derogatory Matrices . . . 134--139
Harry Hochstadt On the Factorization of Certain
Polynomials . . . . . . . . . . . . . . 140--147
John E. Maxfield An Iterative Scheme for Finding the Real
Zeros of Certain Polynomials . . . . . . 148--150
Sin-I Cheng Vorticity Interaction . . . . . . . . . 151--151
Alfred Lehman A Resistor Network Inequality . . . . . 152--153
Jerry Yos Steady-State Plasma Arc . . . . . . . . 153--154
Chris Sherman A Free Boundary Problem . . . . . . . . 154--155
Paul Brock Optimum Sorting Procedure . . . . . . . 155--156
Aram J. Thomasian Book Review: \booktitleInformation
Theory and Statistics (Solomon Kullback) 157--158
Stephen E. Wright Book Review: \booktitleProgramming
Business Computers (Daniel McCracken,
Harold Weiss, and Tsai-Hwa Lee) . . . . 158--159
John J. Sopka Book Review: \booktitleOperations
Research-Methods and Problems (M.
Sasieni, A. Yaspan, L. Friedman) . . . . 159--160
J. P. Russell Book Review: \booktitleElementary Matrix
Algebra (Franz E. Hohn) . . . . . . . . 160--161
W. J. Turanski Book Review: \booktitleThe Theory of
Groups (Marshall Hall, Jr.) . . . . . . 161--163
Anonymous News and Notices . . . . . . . . . . . . 164--175
Maynard G. Arsove Continuous Potentials and Linear Mass
Distributions . . . . . . . . . . . . . 177--184
Joseph McCully The Laguerre Transform . . . . . . . . . 185--191
Ward C. Sangren Interfaces in Two Dimensions . . . . . . 192--199
O. H. Nestor and
H. N. Olsen Numerical Methods for Reducing Line and
Surface Probe Data . . . . . . . . . . . 200--207
Paul I. Richards Numerical Stability and Unsteady Shock
Waves . . . . . . . . . . . . . . . . . 208--216
J. H. van Lint Another Sorting Problem . . . . . . . . 217--217
Walter Weissblum A Set of Convolution Equations . . . . . 217--218
W. L. Bade Some Multiple Summations . . . . . . . . 218--218
M. S. Klamkin and
D. J. Newman and
L. Shepp A Parking Problem . . . . . . . . . . . 219--219
Raphael Miller A Minimum Switching Network . . . . . . 219--222
Charlotte Froese Book Review: \booktitleIntroduction to
the Laplace Transform (Dio L. Holl and
Clair G. Maple) . . . . . . . . . . . . 223--223
Richard P. Kelisky Book Review: \booktitleAn Introduction
to the Calculus of Finite Differences
and Difference Equations (Kenneth S.
Miller) . . . . . . . . . . . . . . . . 223--224
R. A. Willoughby Book Review: \booktitleIntroduction to
Matrix Analysis (Richard Bellman) . . . 225--226
R. A. Willoughby Book Review: \booktitleMatrices (W. V.
Parker and J. C. Eaves) . . . . . . . . 226--226
Robert J. Wisner Book Review: \booktitleIntroduction to
Matrices and Linear Transformations
(Daniel T. Finkbeiner) . . . . . . . . . 226--227
Werner C. Rheinboldt Book Review: \booktitleAsymptotic
Methods in Analysis (N. G. de Bruijn) 227--229
Anonymous News and Notices . . . . . . . . . . . . 230--240
R. F. Drenick On the Role of Professional Societies in
Stimulating and Guiding of Researchi . . 241--246
B. Bernholtz Optimum Allocation of Discharge to Units
in a Hydro-Electric Generating Station 247--258
Rosalind B. Marimont Applications of Graphs and Boolean
Matrices to Computer Programming . . . . 259--268
Ralph Hoyt Bacon A Note Concerning Orthogonal Polynomials 269--276
Herbert B. Keller Special Block Iterations with
Applications to Laplace and Biharmonic
Difference Equations . . . . . . . . . . 277--287
Euyen Gott A Theorem on Determinants . . . . . . . 288--291
E. S. Wolk Torpedo Hit Probabilities . . . . . . . 292--296
Herbert A. Cohen On A Switching Circuit . . . . . . . . . 297--297
Larry Shepp A Pie Problem . . . . . . . . . . . . . 297--297
D. J. Newman A Parking Lot Design . . . . . . . . . . 297--298
W. L. Bade A Minimum Time Path . . . . . . . . . . 298--298
Walter Weissblum A Sorting Problem . . . . . . . . . . . 298--298
T. J. Rivlin Book Review: \booktitleApproximate
Methods of Higher Analysis (L. V.
Kantorovich and V. I. Krylov) . . . . . 299--299
Richard M. Karp Book Review: \booktitleHandbook of
Automation, Computation, and Control,
Volume 2, Computers and Data Processing
(E. M. Grabbe, S. Ramo, and D. E,
Wooldridge, eds.) . . . . . . . . . . . 299--302
Anonymous News and Notices . . . . . . . . . . . . 303--317
Lars V. Ahlfors Classical and Contemporary Analysis . . 1--9
M. S. Klamkin and
D. J. Newman The Philosophy and Applications of
Transform Theory . . . . . . . . . . . . 10--36
Leon Steinberg The Backboard Wiring Problem: a
Placement Algorithm . . . . . . . . . . 37--50
E. H. Smith and
D. E. Stone A Note on the Expected Coverage of One
Circle by Another, the Case of Offset
Aim . . . . . . . . . . . . . . . . . . 51--53
Eldon L. Dunn and
F. Max Stein Families of Sturm--Liouville Systems . . 54--65
David L. Elliott A Note on Systems of Linear Equations 66--69
A. H. McMorris Another Minimum Switching Network . . . 70--70
Arthur E. Miller and
Bradley M. Johnston A Multiple Integral . . . . . . . . . . 70--71
P. L. van Albada An Expectation Problem . . . . . . . . . 71--72
M. S. Klamkin and
D. J. Newman Flight in an Irrotational Wind Field . . 72--72
A. H. McMorris Book Review: \booktitleA Minimum
Switching Network (Raphael Miller) . . . 72--74
G. H. F. Gardner Book Review: \booktitleSteady-State
Diffusion-Convection (G. H. F. Gardner) 74--76
Anonymous Book Review: \booktitleStationary
Processes and Prediction Theory (Harry
Furstenberg) . . . . . . . . . . . . . . 77--77
James H. Griesmer Book Review: \booktitleAn Introduction
to Linear Programming and the Theory of
Games (S. Vajda) . . . . . . . . . . . . 77--78
T. E. Hull Book Review: \booktitleDigital Computers
and Nuclear Reactor Calculations (Ward
C. Sangren) . . . . . . . . . . . . . . 78--80
Beno\^\it Mandelbrot Book Review: \booktitleContributions to
Probability and Statistics: Essays in
Honor of Harold Hotelling (Ingram Olkin,
Sudhist G. Ghurye, Wassily Hoeffding,
William G. Madow, and Henry B. Mann,
eds.) . . . . . . . . . . . . . . . . . 80--80
Beno\^\it Mandelbrot Book Review: \booktitleMathematical
Methods in the Social Sciences, 1959,
Proceedings of the First Stanford
Symposium (Kenneth J. Arrow, Samuel
Karlin, and Patrick Suppes, eds.) . . . 80--81
Raymond E. Miller Book Review: \booktitleProceedings of an
International Symposium on the Theory of
Switching, Parts I and II . . . . . . . 81--84
Anonymous News and Notices . . . . . . . . . . . . 85--104
W. Rindler Survey of Relativity Theory . . . . . . 105--118
S. Parter The Use of Linear Graphs in Gauss
Elimination . . . . . . . . . . . . . . 119--130
Harlan D. Mills Smoothing in Servo Processes . . . . . . 131--139
J. Ernest Wilkins, Jr. and
Harold Mechanic Calculation of Total Field Integrals for
Air Scattered Dose Rates . . . . . . . . 140--143
Hugh Stelson On the Reducibility of Certain Linear
Differential Operators . . . . . . . . . 144--151
Ernest M. Scheuer The Cumulative Distribution of the Sum
or Difference of a Normal Random
Variable and the Absolute Value of a
Normal Random Variable . . . . . . . . . 152--155
G. M. Clemence Unsolved Problems in Satellite Theory 156--161
J. S. Lowndes Note on an Integral Transform . . . . . 162--164
J. L. Brenner Expanded Matrices from Matrices with
Complex Elements . . . . . . . . . . . . 165--166
Murray S. Klamkin On Cooking a Roast . . . . . . . . . . . 167--169
Anonymous Report of Symposium on Satellite Theory 170--177
William Squire Flame Propagation . . . . . . . . . . . 178--179
Isidore Silberman Another Satellite Communications Problem 179--179
Frank W. Sinden Satellite Communications . . . . . . . . 179--179
B. W. Rosen A Set of Linear Equations . . . . . . . 180--180
T. E. Hull Book Review: \booktitleMathematical
Methods for Digital Computers (Anthony
Ralston and Herbert S. Wilf, eds.) . . . 181--182
Beno\^\it Mandelbrot Book Review: \booktitleInformation and
Decision Processes (Robert E. Machol,
ed.) . . . . . . . . . . . . . . . . . . 182--183
Beno\^\it Mandelbrot Book Review: \booktitleLa Theorie
Physique au Sens de Boltzmann (René
Dugas). (French) [\booktitleThe Physical
Theory According to Boltzmann (René
Dugas)] . . . . . . . . . . . . . . . . 183--184
E. S. Keeping Book Review: \booktitleTheory of
Probability (William Burnside) . . . . . 184--184
J. L. McGregor Book Review: \booktitleModern
Probability Theory and Its Applications
(Emanuel Parzen) . . . . . . . . . . . . 184--185
Anonymous News and Notices . . . . . . . . . . . . 186--209
Brockway McMillan An Elementary Approach to the Theory of
Information . . . . . . . . . . . . . . 211--229
Frank Proschan Precision of Least Squares Polynomial
Estimates . . . . . . . . . . . . . . . 230--236
Burton Wendroff The Structure of Certain Finite
Difference Schemes . . . . . . . . . . . 237--242
Julius Siekmann Concerning an Integral Occurring in
Aerofoil Theory . . . . . . . . . . . . 243--246
William C. Guenther On the Probability of Capturing a
Randomly Selected Point in Three
Dimensions . . . . . . . . . . . . . . . 247--251
Paul B. Richards Plemelj Relations for a Class of Cauchy
Integrals . . . . . . . . . . . . . . . 252--255
Arthur Bronwell Do We Need a Forum for Research
Philosophy . . . . . . . . . . . . . . . 256--259
J. Ernest Wilkins, Jr. and
Harold Mechanic Errata: Calculation of Total Field
Integrals for Air Scattered Dose Rates 260--261
R. H. G. Mitchell and
R. F. Wheeling A Random Walk in a Hyper-Cube . . . . . 262--262
Carl E. Sealander On the Eigenvalues of a Matrix . . . . . 262--262
Tom Munson One-Dimensional Steady-State Ablation 263--263
Layton E. Butts Book Review: \booktitleA Minimum
Switching Network (Raphael Miller) . . . 263--266
Walter Rudin Book Review: \booktitleTranscendental
and Algebraic Numbers (A. D. Gelfond) 267--267
Norman R. Draper Book Review: \booktitleGreat Ideas of
Modern Mathematics: Their Nature and Use
(Jagjit Singh) . . . . . . . . . . . . . 267--268
L. M. Milne-Thomson Book Review: \booktitlePhotoelasticity,
Principles and Methods (H. T. Jessop and
F. C. Harris) . . . . . . . . . . . . . 268--268
A. M. Ostrowski Book Review: \booktitleThe Theory of
Equations with an Introduction to the
Theory of Binary Algebraic Forms (W. S.
Burnside and A. W. Panton) . . . . . . . 268--268
A. M. Ostrowski Book Review: \booktitleMéthodes de Calcul
Numérique. Tome 1, Alg\`ebre Non Linéaire
(A. Korganoff) . . . . . . . . . . . . . 269--269
Anonymous News and Notices . . . . . . . . . . . . 270--292
Solomon W. Golomb Permutations by Cutting and Shuffling 293--297
I. M. Fyfe and
R. C. Eng and
D. M. Young On the Numerical Solution of the
Hydrodynamic Equations . . . . . . . . . 298--308
Dorwin Cartwright and
Frank Harary The Number of Lines in a Digraph of Each
Connectedness Category . . . . . . . . . 309--314
J. R. Parks and
L. Cooper The Application of Numerical Integration
to a Problem in Viscoelasticity . . . . 315--321
R. L. Causey and
R. T. Gregory On Lanczos' Algorithm for
Tridiagonalizing Matrices . . . . . . . 322--328
W. L. Bade A Definite Integral . . . . . . . . . . 329--329
D. J. Newman and
Walter Weissblum A Coin Tossing Problem . . . . . . . . . 329--329
Lawrence Shepp The Expected Value of a Product . . . . 329--329
J. Ernest Wilkins, Jr. and
Yudell L. Luke and
Jan Petersson and
P. J. de Doelder and
J. H. van Lint and
M. S. Klamkin Book Review: \booktitleVorticity
Interaction (Sin-I Cheng) . . . . . . . 329--336
J. H. van Lint Another Sorting Problem . . . . . . . . 336--337
O. B. Björgum Book Review: \booktitleTurbulence:
Classic Papers on Statistical Theory (S.
K. Friedlander and L. Topping, eds.) . . 338--339
Norman R. Draper Book Review: \booktitleQuantitative
Methods in Pharmacology (H. de Jonge) 339--340
W. A. Harris, Jr. Book Review: \booktitleFinite Difference
Equations (H. Levy and F. Lessman) . . . 340--341
W. A. Harris, Jr. Book Review: \booktitleA Treatise on the
Calculus of Finite Differences (George
Boole) . . . . . . . . . . . . . . . . . 341--341
J. W. Williams Book Review: \booktitleThe Electrical
Double Layer Around a Spherical Colloid
Particle (A. L. Loeb) . . . . . . . . . 341--342
Preston C. Hammer Book Review: \booktitleNumerical Methods
for Science and Engineering (R. G.
Stanton) . . . . . . . . . . . . . . . . 342--342
W. M. Stone Book Review: \booktitleComplex Variables
and the Laplace Transform for Engineers
(W. R. LePage) . . . . . . . . . . . . . 342--343
Robert E. Machol Book Review: \booktitleLinear Graphs and
Electrical Networks (S. Seshu and M. B.
Reed) . . . . . . . . . . . . . . . . . 343--345
Anonymous News and Notices . . . . . . . . . . . . 346--368
M. Kac Probability Theory: Its Role and Its
Impact . . . . . . . . . . . . . . . . . 1--11
Harold Shulman The Pole Spotting Problem . . . . . . . 12--15
E. N. Gilbert Games of Identification or Convergence 16--24
A. C. Ahlin On Error Bounds for Gaussian Cubature 25--39
F. M. Reza A Bound for the Derivative of Positive
Real Functions . . . . . . . . . . . . . 40--42
Murray S. Klamkin On the Transformation of a Class of
Boundary Value Problems into Initial
Value Problems for Ordinary Differential
Equations . . . . . . . . . . . . . . . 43--47
Louis D. Grey On an Upper Bound . . . . . . . . . . . 48--48
D. J. Newman On a Least Square Approximation . . . . 48--48
D. J. Newman On a Polynomial Approximation . . . . . 48--48
M. A. Medick On A Zero of An Implicit Function . . . 49--49
Henry McKean and
Jan Petersen Book Review: \booktitleA Pie Problem
(Larry Shepp) . . . . . . . . . . . . . 49--51
Charles Saltzer Book Review: \booktitleProgress in
Operations Research, Volume I (R. L.
Ackoff, ed.) . . . . . . . . . . . . . . 52--52
Thomas J. Higgins Book Review: \booktitleIntroduction to
the Statistical Dynamics of Automatic
Control Systems (V. V. Solodovnikov) . . 52--53
Edward Fadell Book Review: \booktitleTopology (J. G.
Hocking and G. S. Young) . . . . . . . . 54--54
Sam C. Saunders Book Review: \booktitleTables of the
Hypergeometric Probability Distribution
(G. J. Liberman and D. B. Owen) . . . . 54--54
C. H. Wilcox Book Review: \booktitleModern
Geometrical Optics (M. Herzberger) . . . 54--55
Joel Brenner Book Review: \booktitleLectures on
Linear Algebra (I. M. Gel'fand) . . . . 55--55
C. H. Wilcox Book Review: \booktitleWave Propagation
in a Random Medium (Lev A. Chernov) . . 55--55
T. J. Higgins Book Review: \booktitleTransistor Logic
Circuits (R. B. Hurley) . . . . . . . . 55--56
T. J. Higgins Book Review: \booktitleEinführung in die
Theorie der Abtastsysteme (J. Tschauner
and R. Oldenbourg) . . . . . . . . . . . 56--57
P. C. Hammer Book Review: \booktitleThe Calculus of
Variations (A. R. Forsyth) . . . . . . . 57--58
R. P. Kanwal Book Review: \booktitleThe Dynamical
Theory of Sound (H. Lamb) . . . . . . . 58--58
R. P. Kanwal Book Review: \booktitleGeneral
Relativity and Gravitational Waves (J.
Weber) . . . . . . . . . . . . . . . . . 58--58
C. H. Wilcox Book Review: \booktitleProgress in
Optics. Vol. I (E. Wolf) . . . . . . . . 58--58
Anonymous News and Notices . . . . . . . . . . . . 59--78
L. Schoenfeld On integrals of the type $ \int \sb 0
\sp \infty f(x) \log \left | {x + 1
\over x - 1} \right |d x $ . . . . . . . 154--157
Brockway McMillan Mathematicians and Their Uses . . . . . 79--90
Derrill J. Bordelon Best Linear Estimate of Missile Location
Based on Diverse Simultaneous Tracking
Data . . . . . . . . . . . . . . . . . . 91--93
H. Goldenberg The Evaluation of Inverse Laplace
Transforms without the Aid of Contour
Integration . . . . . . . . . . . . . . 94--104
Irving Gerst The Bivariate Generating Function and
Two Problems in Discrete Stochastic
Processes . . . . . . . . . . . . . . . 105--114
J. Spanier A Unified Approach to Monte Carlo
methods and an Application to a
Multigroup Calculation of Absorption
Rates . . . . . . . . . . . . . . . . . 115--134
J. E. L. Peck Polynomial Curve Fitting with Constraint 135--141
D. R. Fulkerson and
P. Wolfe An Algorithm for Scaling Matrices . . . 142--146
Lowell Schoenfeld A Remark on a Previous Paper . . . . . . 147--147
D. J. Newman A Minimum Time Path . . . . . . . . . . 148--148
Alan L. Tritter A Steady-State Temperature . . . . . . . 148--148
C. L. Mallows Patience Sorting . . . . . . . . . . . . 148--149
Franklin W. Diederich A Least-Squares Solution of a Linear
System . . . . . . . . . . . . . . . . . 150--150
Dave Freedman and
Larry Shepp An Unfriendly Seating Arrangement . . . 150--150
Alan L. Tritter Resistance of a Cut-Out Right Circular
Cylinder . . . . . . . . . . . . . . . . 150--150
Fazlollah Reza and
Alfred Lehman Book Review: \booktitleA Resistor
Network Inequality (Alfred Lehman) . . . 150--155
G. W. Veltkamp and
M. S. Klamkin Book Review: \booktitleFlight in An
Irrotational Wind Field (M. S. Klamkin) 155--156
W. C. McGee Book Review: \booktitleProgramming and
Coding for Automatic Digital Computers
(G. W. Evans II and C. L. Perky) . . . . 157--158
Norman R. Draper Book Review: \booktitleIntroduction to
Probability and Random Variables (G. P.
Wadsworth and J. G. Bryan) . . . . . . . 158--158
R. A. Clark Book Review: \booktitleProceedings of
the I.U.T.A.M. Symposium of the Theory
of Thin Elastic Shells (W. T. Koiter,
ed.) . . . . . . . . . . . . . . . . . . 159--159
L. B. Rall Book Review: \booktitleTheory of Linear
Operators in Hilbert Space. Vol. I (N.
I. Akhiezer and I. M. Glazman) . . . . . 159--159
Joel Brenner Book Review: \booktitleLinear Algebra
and Group Theory (V. I. Smirnov; R. A.
Silverman, ed.) . . . . . . . . . . . . 160--160
John J. Sopka Book Review: \booktitleMathematical
Programming (S. Vajda) . . . . . . . . . 160--161
Thomas J. Higgins Book Review: \booktitleSystemtheorie für
regellose Vorganze: Statische Verfahren
für Nachrichten-find Regelungstechnik (H.
S. Schlitt) . . . . . . . . . . . . . . 161--162
H. E. Reinhardt Book Review: \booktitleAn Elementary
Introduction to the Theory of
Probability (B. V. Gnedenko and A. Ya.
Khinchin) . . . . . . . . . . . . . . . 162--162
P. C. Hammer Book Review: \booktitleAdaptive Control
Processes: a Guided Tour (R. Bellman) 163--163
H. E. Reinhardt Book Review: \booktitleProbability and
Experimental Errors in Science (L. G.
Parratt) . . . . . . . . . . . . . . . . 163--164
George Struble Book Review: \booktitleTables for
Bivariate Osculatory Interpolation over
a Cartesian Grid (Herbert E. Salzer and
G. M. Kimbro) . . . . . . . . . . . . . 164--164
George Struble Book Review: \booktitleTables of
Osculatory Integration Coefficients (H.
Salzer, D. C. Schoultz and E. P.
Thompson) . . . . . . . . . . . . . . . 164--164
George Struble Book Review: \booktitleTables of
Coefficients for Obtaining the Second
Derivative without Differences (H. E.
Salzer and P. T. Roberson) . . . . . . . 165--165
Anonymous News and Notices . . . . . . . . . . . . 166--195
F. Joachim Weyl The Perplexing Case of Geometry . . . . 197--201
Frank Harary The Determinant of the Adjacency Matrix
of a Graph . . . . . . . . . . . . . . . 202--210
Leopold Flatto and
Alan G. Konheim The Random Division of an Interval and
the Random Covering of a Circle . . . . 211--222
Leonard Tornheim Determination of Large Parallelepipeds 223--226
Walter Gautschi Diffusion Functions for Small Argument 227--229
T. E. Hull and
A. R. Dobell Random Number Generators . . . . . . . . 230--254
Donald J. Persico and
Henry C. Friedman Another Coin Tossing Problem . . . . . . 255--255
David Rothman An Approximation of a Definite Integral 255--255
Walter Weissblum Spatial Navigation . . . . . . . . . . . 255--255
Larry Shepp Normal Functions of Normal Random
Variables . . . . . . . . . . . . . . . 255--256
W. C. McGee A Binary Multiplication . . . . . . . . 256--256
Alan G. Konheim and
Leopold Flatto Book Review: \booktitleA Parking Problem
(M. S. Klamkin, D. J. Newman and L.
Shepp) . . . . . . . . . . . . . . . . . 257--258
F. Zetto and
D. J. Newman Book Review: \booktitleA Minimum Time
Path (W. L. Bade) . . . . . . . . . . . 258--259
B. A. Fleishman Book Review: \booktitleIntroduction to
Partial Differential Equations (Donald
Greenspan) . . . . . . . . . . . . . . . 260--261
Donald Greenspan Book Review: \booktitleDiscrete Variable
Methods in Ordinary Differential
Equations (P. Henrici) . . . . . . . . . 261--262
A. T. Bharucha-Reid Book Review: \booktitleStatistical
Inference for Markov Processes (P.
Billingsley) . . . . . . . . . . . . . . 262--263
Enders A. Robinson Book Review: \booktitleThe Passage
Problem for a Stationary Markcov Chain
(J. H. B. Kemperman) . . . . . . . . . . 263--264
Enders A. Robinson Book Review: \booktitleCharacteristic
Functions (E. Lukacs) . . . . . . . . . 264--264
J. A. Nohel Book Review: \booktitleContributions to
the Theory of Nonlinear Oscillations,
Vol. 5 (L. Cesari, J. LaSalle, and S.
Lefschetz, eds.) . . . . . . . . . . . . 264--266
L. B. Rall Book Review: \booktitleElements of the
Theory of Functions and Functional
Analysis vol. I (A. N. Kolmogorov and S.
V. Fomin); Metric and Normed Spaces vol.
II (L. F. Boron, trans.); Measure ---
The Lebesgue Integral Hilbert Space (H.
Kamel and H. Komm) . . . . . . . . . . . 266--266
Clement Winston Book Review: \booktitleManagement Models
and Industrial Applications of Linear
Programming, Vol. 1 (A. Charnes and W.
W. Cooper) . . . . . . . . . . . . . . . 267--268
William Beranek Book Review: \booktitleQuantitative
Analysis for Business Decisions (H.
Bierman, L. E. Fouraker, and R. K.
Jaedicke) . . . . . . . . . . . . . . . 268--269
Okan Gurel Book Review: \booktitleDifferential
Equations. (F. G. Tricomi) . . . . . . . 269--270
N. D. Kazarinoff Book Review: \booktitleAsymptotic
Estimates and Entire Functions (M. A.
Evgrafov; A. Shields, trans.) . . . . . 270--271
F. M. Arscott Book Review: \booktitleThe Theory of
Determinants, Matrices and Invariants
(H. W. Turnbull) . . . . . . . . . . . . 271--271
W. M. Stone Book Review: \booktitleIntroduction to
Laplace Transforms for Radio and
Electronic Engineers (W. D. Day) . . . . 271--271
R. P. Kanwal Book Review: \booktitleSupersonic
Aerodynamics (E. R. C. Miles) . . . . . 272--272
Michael Papadopoulos Book Review: \booktitleTables of
Indefinite Integrals (G. Petit Bois) . . 272--272
B. R. Seth Book Review: \booktitleMechanics (J. P.
Den Hartog) . . . . . . . . . . . . . . 272--272
B. R. Seth Book Review: \booktitleStrength of
Materials (J. P. Den Hartog) . . . . . . 272--272
Anonymous News and Notices . . . . . . . . . . . . 273--296
George F. Carrier and
R. Courant and
Paul Rosenbloom and
C. N. Yang and
H. J. Greenberg Applied Mathematics what is Needed in
Research and Education . . . . . . . . . 297--320
Donald V. Steward On an Approach to Techniques for the
Analysis of the Structure of Large
Systems of Equations . . . . . . . . . . 321--342
H. A. Spang III A Review of Minimization Techniques for
Nonlinear Functions . . . . . . . . . . 343--365
J. W. Sheldon and
D. P. Squier Remarks on the Order of Convergence of
Discrete Analogs for Second-Order
Elliptic Partial Differential Equations 366--378
Alan G. Konheim The Number of Bisecting Strategies for
the Game $ \Gamma (N) $ . . . . . . . . 379--383
Arthur Wouk Recursive Methods, Dynamic Programming,
and Invariant Imbedding . . . . . . . . 384--393
Kurt Eisemann The Optimum Location of a Center . . . . 394--395
J. L. Brenner and
F. T. Smith On a Property of a Unitary Matrix . . . 395--395
Dennis C. Gilliland On the Non-Negativity of the
Coefficients of a Certain Series
Expansion . . . . . . . . . . . . . . . 395--396
M. S. Klamkin A Property of Harmonic Functions . . . . 396--396
D. J. Newman A Uniform Approximation . . . . . . . . 396--396
David Slepian Book Review: \booktitleOn a Binomial
Identity Arising from a Sorting Problem
(Paul Brook) . . . . . . . . . . . . . . 396--398
C. R. Cassity and
N. A. Lindberger Book Review: \booktitleOn a Set of
Linear Equations (B. W. Rosen) . . . . . 398--401
Richard Bellman Book Review: \booktitleRandom Processes
(M. Rosenblatt) . . . . . . . . . . . . 402--402
L. M. Milne-Thomson Book Review: \booktitleA Treatise on
Hydrodynamics (A. B. Basset) . . . . . . 402--402
V. C. Hideout and
V. Rajaraman Book Review: \booktitleStatistical
Theory of Communication (Y. W. Lee) . . 402--404
J. J. Levin Book Review: \booktitleNonlinear
Differential Equations (R. A. Struble) 404--404
Rufus Oldenburger Book Review: \booktitleAnalysis and
Design of Nonlinear Feedback Control
Systems (G. J. Thaler and M. P. Pastel) 405--405
Michael Papadopoulos Book Review: \booktitleTheory of
Functions as Applied to Engineering
Problems (R. Rothe, F. Ollendorff and K.
Pohlhasen, eds.; A, Herzenberg, trans.) 405--405
Thomas Seidman Book Review: \booktitleLectures on Game
Theory (E. S. Ventzel) . . . . . . . . . 406--406
Morton Kupperman Book Review: \booktitleTesting
Statistical Hypotheses (E. L. Lehmann) 407--407
Okan Gurel Book Review: \booktitleBoundary and
Eigenvalue Problems in Mathematical
Physics (H. Sagan) . . . . . . . . . . . 407--408
F. M. Arscott Book Review: \booktitleIntroduction to
Elliptic Functions with Applications (F.
Bowman) . . . . . . . . . . . . . . . . 408--408
W. M. Stone Book Review: \booktitleShock and
Vibration in Linear Systems (Paul A.
Crafton) . . . . . . . . . . . . . . . . 409--409
C. L. Dolph Book Review: \booktitleElectromagnetic
Waves (R. E. Langer, ed.) . . . . . . . 409--411
Anonymous Other Books Received . . . . . . . . . . 411--412
Anonymous News and Notices . . . . . . . . . . . . 413--430
J. H. Giese An Integral Equation Occurring in a
Problem of Subsidence . . . . . . . . . 1--6
T. F. Bridgland, Jr. Stability of Linear Signal Transmission
Systems . . . . . . . . . . . . . . . . 7--32
Foster Brooks and
N. D. Diamantides A Probability Theorem for Random
Two-Valued Functions, with Application
to Autocorrelations . . . . . . . . . . 33--40
T. P. Giammo On the Probability of Success in a
Sudden Death Search with Intermittent
Moves Confined to a Finite Area . . . . 41--51
T. J. Rivlin Overdetermined Systems of Linear
Equations . . . . . . . . . . . . . . . 52--66
J. V. Armitage and
R. A. Rapp A Mathematical Derivation of a
Temperature-Time Program for the
Passivation of Silver Alloys . . . . . . 67--72
Robert Klein On a Definite Integral . . . . . . . . . 73--73
D. J. Newman On Bounds for Matrix Eigenvalues . . . . 73--73
Daniel H. Wagner An Urn Problem . . . . . . . . . . . . . 73--73
Robert E. Shafer On an Integral Related to Bessel
Functions . . . . . . . . . . . . . . . 73--74
A. W. Saenz Book Review: \booktitleOn the
Eigenvalues of a Matrix (Carl E.
Sealander) . . . . . . . . . . . . . . . 74--75
Larry Shepp Book Review: \booktitleA Random Walk in
a Hyper-Cube (R. H. G. Mitchell and R.
F. Wheeling) . . . . . . . . . . . . . . 75--76
M. S. Klamkin Book Review: \booktitleOne-Dimensional
Steady-State Ablation (Tom Munson) . . . 76--77
Martin Schechter Book Review: \booktitlePartial
Differential Equations. An Introduction
(B. Epstein) . . . . . . . . . . . . . . 78--79
A. M. White Book Review: \booktitleComplex Numbers
and Conformal Mapping (A. I.
Markusuevich) . . . . . . . . . . . . . 79--79
Rodney D. Driver Book Review: \booktitleDifferential
Equations (L. E. El'sgol'ts) . . . . . . 79--80
I. Kolodnea Book Review: \booktitleElements of
Functional Analysis (L. A. Liusternik
and V. J. Sobolev) . . . . . . . . . . . 80--81
Robert Kalaba Book Review: \booktitleDynamic
Optimization and Control --- A
Variational Approach (W. Kipiniak) . . . 81--81
J. G. Gurley Book Review: \booktitleInertial Guidance
(G. R. Pitman, Jr., ed.) . . . . . . . . 81--82
M. Papadopoulos Book Review: \booktitleClassical
Electrodynamics (J. D. Jackson) . . . . 82--83
N. Zitron Book Review: \booktitleExtraction of
Signals from Noise (L. A. Wainstein and
V. D. Zubakov) . . . . . . . . . . . . . 83--83
B. R. Seth Book Review: \booktitleStatistical
Strength Theory (S. D. Volkov) . . . . . 84--84
Paul S. Dwyer Book Review: \booktitleThe Analysis of
Variance (Henry Scheffé) . . . . . . . . 84--86
H. E. Reinhardt Book Review: \booktitleProceedings of
the Fourth Berkeley Symposium on
Mathematical Statistics and Probability.
Volume II: Probability Theory (J. Neyman
ed.) . . . . . . . . . . . . . . . . . . 86--86
T. Kawata Book Review: \booktitleAn Introduction
to Infinitely Many Variates (E. A.
Robinson) . . . . . . . . . . . . . . . 86--87
Charles Saltzer Book Review: \booktitleNumerical Weather
Analysis and Prediction (P. D. Thompson) 87--88
Charles Saltzer Book Review: \booktitleInformation
Retrieval and Machine Translation. (Vol.
III, Part 2, of Advances in
Documentation and Library Science.) (A.
Kent ed.) . . . . . . . . . . . . . . . 88--88
Anonymous Other Books Received . . . . . . . . . . 88--90
Anonymous News and Notices . . . . . . . . . . . . 91--112
James F. Heyda Temperature Distribution in an Orbiting
Sphere with Alternate Heating and
Cooling . . . . . . . . . . . . . . . . 113--118
Samuel M. Giveen A Taxicab Problem with Time-Dependent
Arrival Rates . . . . . . . . . . . . . 119--127
P. Waltman Oscillation of Solutions of a Nonlinear
Equation . . . . . . . . . . . . . . . . 128--130
Preston R. Clement On Completeness of Basis Functions Used
for Signal Analysis . . . . . . . . . . 131--139
P. R. Krishnaiah and
Peter Hagis, Jr. and
Leon Steinberg A Note on the Bivariate Chi Distribution 140--144
L. Weiss and
R. N. McDonough Prony's Method, $Z$-Transforms, and Padé
Approximation . . . . . . . . . . . . . 145--149
Saul Gorn The Computer and Information Sciences: a
New Basic Discipline . . . . . . . . . . 150--155
Joel Brenner On Commutative Rotations . . . . . . . . 156--156
C. Groenewoud and
L. Eusanio The Smallest Covering Cone or Sphere . . 156--156
Walter Weissblum Asymptotic Distribution of Lattice
Points in a Random Rectangle . . . . . . 156--156
Carl Evans and
John Fleck A Monotonic Distribution Function . . . 156--157
Anonymous Book Review: \booktitleA Definite
Integral (W. L. Bade) . . . . . . . . . 157--159
D. Waterman Book Review: \booktitleAn Introduction
to Fourier Analysis (R. D. Stuart) . . . 160--160
H. A. Antosiewicz Book Review: \booktitleOrdinary
Differential Equations (G. Birkhoff and
G. C. Rota) . . . . . . . . . . . . . . 160--161
W. R. Thickstun Book Review: \booktitleIntroduction to
Complex Analysis (Z. Nehari) . . . . . . 161--161
W. Fleming Book Review: \booktitleThe Calculus of
Variations (N. I. Akhiezer) . . . . . . 161--162
Richard Bellman Book Review: \booktitleCalculus of
Variations (L. E. Elsgolc) . . . . . . . 162--162
Charles Saltzer Book Review: \booktitleA Brief
Introduction to Theta Functions (R.
Bellman) . . . . . . . . . . . . . . . . 162--162
R. C. Gilbert and
U. S. Army Book Review: \booktitleIntroduction to
Hilbert Space (S. K. Berberian) . . . . 162--163
Thomas F. Green Book Review: \booktitleThe Mathematical
Theory of Linear Systems (B. M. Brown) 163--164
Leon Levine Book Review: \booktitleSystems
Engineering Mathematics (J. E. Alexander
and J. M. Bailey) . . . . . . . . . . . 164--165
Roy M. Gundersen Book Review: \booktitleVectors, Tensors
and the Basic Equations of Fluid
Mechanics (R. Aris) . . . . . . . . . . 165--165
A. Lehman Book Review: \booktitleRedundancy
Techniques for Computing Systems (R. H.
Wilcox and W. C Mann, eds.) . . . . . . 166--166
Frederick V. Pohle Book Review: \booktitleDynamics;
Particles, Rigid Bodies, and Systems
(vol. I). Systems, Variational Methods,
and Relativity (vol. II) (R. L. Halfman) 166--169
R. M. Karp Book Review: \booktitleUnderstanding
Digital Computers (P. Siegel) . . . . . 169--170
Sebastian B. Littauer Book Review: \booktitleMathematical
Methods of Operations Research (T. L.
Saaty) . . . . . . . . . . . . . . . . . 170--171
A. Lehman Book Review: \booktitleEconomic
Applications of the Theory of Graphs (G.
Avondo-Bodino) . . . . . . . . . . . . . 171--172
Charles Saltzer Book Review: \booktitleModern Computing
Methods --- National Physical Laboratory
Notes on Applied Science No. 16. (E. T.
Goodwin) . . . . . . . . . . . . . . . . 172--172
J. L. Doob Book Review: \booktitleStochastic
Processes (E. Parzen) . . . . . . . . . 172--173
R. Syski Book Review: \booktitleElements of the
Theory of Markov Processes and Their
Applications (A. T. Bharucha-Reid) . . . 173--174
Leo A. Aroian Book Review: \booktitleReliability:
Management, Methods and Mathematics (D.
K. Lloyd and M. Lipow) . . . . . . . . . 174--175
Anonymous Other Books Received . . . . . . . . . . 175--177
Anonymous News and Notices . . . . . . . . . . . . 178--202
Oscar R. Burt Economic Replacement . . . . . . . . . . 203--208
Gerald Berman and
R. G. Stanton The Asymptotes of the Root Locus . . . . 209--218
E. W. Cheney and
T. H. Southard A Survey of Methods for Rational
Approximation, with Particular Reference
to a New Method Based on a Formula of
Darboux . . . . . . . . . . . . . . . . 219--231
R. G. Buschman An Inversion Integral for a General
Legendre Transformation . . . . . . . . 232--233
Paul I. Richards Symmetry in Numerical Matrix
Calculations . . . . . . . . . . . . . . 234--248
Jack K. Hale and
Joseph P. LaSalle Differential Equations: Linearity vs.
Nonlinearity . . . . . . . . . . . . . . 249--272
T. F. Bridgland, Jr. Errata: Stability of Linear Signal
Transmission Systems . . . . . . . . . . 273--273
Richard Bellman An Optimal Search . . . . . . . . . . . 274--274
J. L. Brown, Jr. A Definite Integral . . . . . . . . . . 274--274
R. L. Graham and
L. Shepp An Asymptotic Result on a Zero of a
Function . . . . . . . . . . . . . . . . 274--275
Henry D. Friedman A Sharp Autocorrelation Function . . . . 275--275
M. S. Klamkin An Infinite Permutation . . . . . . . . 275--276
A. W. Mckinney and
D. J. Newman and
F. J. Macwilliams and
Henry D. Friedman Book Review: \booktitleA Set o f
Convolution Equations (Walter Weissblum) 276--283
Harry Furstenberg and
F. Zetto Book Review: \booktitleAn Expectation
Problem (P. L. van Albada) . . . . . . . 283--287
Louis D. Grey Book Review: \booktitleAnother Satellite
Communications Problem (Isidore
Silberman) . . . . . . . . . . . . . . . 287--288
Fred Braver Book Review: \booktitleOrdinary
Differential Equations (L. S.
Pontryagin) . . . . . . . . . . . . . . 289--289
R. E. Gaskell Book Review: \booktitleFundamentals of
the Laplace Transform (C. J. Savant and
E. C. Levy) . . . . . . . . . . . . . . 289--290
Richard Bellman Book Review: \booktitleA Primer of Real
Functions (R. P. Boas) . . . . . . . . . 290--290
B. R. Levy Book Review: \booktitleAn Introduction
to Phase-Integral Methods (J. Heading) 290--290
R. Ryan Book Review: \booktitleConvex Functions
and Orlicz Spaces (M. A. Krasnoesl'skii
and Ya. B. Rutickii) . . . . . . . . . . 290--291
J. R. Foots Book Review: \booktitleOptimization
Techniques (G. Leitmann, ed.) . . . . . 291--292
H. B. Mann Book Review: \booktitleStatistical
Independence in Probability, Analysis
and Number Theory (M. Kac) . . . . . . . 292--293
Judah I. Rosenblatt Book Review: \booktitleStatistical
Theory (B. W. Lindgren) . . . . . . . . 293--295
L. B. Rall and
U. S. Army Book Review: \booktitleProgramming and
Utilizing Digital Computers (R. S.
Ledley) . . . . . . . . . . . . . . . . 295--296
A. Wouk and
U. S. Army Book Review: \booktitleAn Introduction
to Electronic Analogue Computers (M. G.
Hartley) . . . . . . . . . . . . . . . . 296--296
Robert N. Goss Book Review: \booktitlePlastic Flow and
Fracture in Solids (T. Y. Thomas) . . . 296--297
M. Papadopoulos Book Review: \booktitleTheory of Ground
Water Movement (P. Ya.
Polubarinova-Kochina) . . . . . . . . . 297--297
R. H. Edwards Book Review: \booktitleFlight Mechanics
--- 1. Theory of Flight Paths (A. Miele) 297--298
Anonymous Other Books Received . . . . . . . . . . 298--299
Anonymous News and Notices . . . . . . . . . . . . 300--320
J. Leray The Functional Transformations Required
by the Theory of Partial Differential
Equations . . . . . . . . . . . . . . . 321--334
B. A. Chartres A Geometrical Proof of a Theorem Due to
D. Slepian . . . . . . . . . . . . . . . 335--341
George E. Lindamood and
George Shapiro Magnitude Comparison and Overflow
Detection in Modular Arithmetic
Computers . . . . . . . . . . . . . . . 342--350
Edward J. Beltrami Some Alternative Approaches to
Distributions . . . . . . . . . . . . . 351--357
Lowell Schoenfeld The Evaluation of Certain Definite
Integrals . . . . . . . . . . . . . . . 358--369
Ron L. Graham A Resistance Problem . . . . . . . . . . 370--370
Robert E. Shafer On Integrals Related to Bessel Functions 370--370
G. W. Veltkamp On a Periodic Solution of a Differential
Equation . . . . . . . . . . . . . . . . 370--371
D. J. Newman and
L. A. Shepp On The Coefficients Of a Trigonometric
Polynomial . . . . . . . . . . . . . . . 371--371
Perky Scheinok On a Double Summation . . . . . . . . . 371--371
L. A. Shepp Book Review: \booktitleA Coin Tossing
Problem (D. J. Newman) . . . . . . . . . 372--372
Walter Weissblum Reliability Theory . . . . . . . . . . . 372--372
J. Van Yzeren Book Review: \booktitleThe Expected
Value of a Product (L. A. Shepp) . . . . 373--374
W. Fraser and
Pierre Robert Book Review: \booktitleOn a Least Square
Approximation (D. J. Newman) . . . . . . 374--375
C. L. Mallows Patience Sorting . . . . . . . . . . . . 375--376
J. L. Walsh Book Review: \booktitleAnalytic Function
Theory (E. Hills) . . . . . . . . . . . 377--378
Alvin M. White Book Review: \booktitleFunctions of a
Complex Variable: and Some of Their
Applications, Volume II (B. A. Fuchs and
V. I. Levin) . . . . . . . . . . . . . . 378--379
W. R. Thickstun Book Review: \booktitleElements of
Complex Variables (Louis L. Pennisi) . . 379--379
H. O. Hartley Book Review: \booktitleContributions to
the Theory of Estimation from Grouped
and Partially Grouped Samples (G.
Kulldorf) . . . . . . . . . . . . . . . 379--380
H. J. Wertz Book Review: \booktitleMatrix Methods
for Engineering (Louis A. Pipes) . . . . 380--381
Ralph Deutsch Book Review: \booktitlePrinciples of the
Statistical Theory of Communication (W.
W. Harman) . . . . . . . . . . . . . . . 381--382
W. H. Fleming Book Review: \booktitleAn Introduction
to the Calculus of Variations (L. A.
Pars) . . . . . . . . . . . . . . . . . 382--382
Wm. G. Howe Book Review: \booktitleAn Elementary
Introduction to the Theory of
Probability (B. V. Gnedenko and A. Ya.
Khinchin) . . . . . . . . . . . . . . . 383--383
R. Moore Book Review: \booktitleNumerical
Analysis (N. Macon) . . . . . . . . . . 383--384
Anonymous Other Books Received . . . . . . . . . . 384--384
Anonymous News and Notices . . . . . . . . . . . . 385--392
J. P. LaSalle Recent Advances in Liapunov Stability
Theory . . . . . . . . . . . . . . . . . 1--11
F. Max Stein Sturm--Liouville Systems that Generate
Families . . . . . . . . . . . . . . . . 12--19
L. Carlitz A Binomial Identity Arising from a
Sorting Problem . . . . . . . . . . . . 20--30
Kurt Kreith Comparison Theorems for Constrained Rods 31--36
Leon Cooper Heuristic Methods for
Location-Allocation Problems . . . . . . 37--53
Daniel Shanks A Duality Relation in Exterior
Ballistics . . . . . . . . . . . . . . . 54--56
Randall E. Cline Note on the Generalized Inverse of the
Product of Matrices . . . . . . . . . . 57--58
Oscar R. Burt Errata: Economic Replacement . . . . . . 59--59
Tom Benedict A Pair of Identities . . . . . . . . . . 60--60
H. O. Pollak and
L. Shepp An Asymptotic Expansion . . . . . . . . 60--60
D. J. Newman Escape Velocity with Drag . . . . . . . 60--61
M. S. Klamkin A Physical Characterization of a Sphere 61--61
M. J. Pascual and
J. E. Zwetg A Set of Linear Equations . . . . . . . 61--61
D. J. Newman A Parking Lot Design . . . . . . . . . . 62--66
Joseph E. Warren Book Review: \booktitleFlame Propagation
(William Squire) . . . . . . . . . . . . 66--69
Gerard Salton Book Review: \booktitleInformation
Storage and Retrieval: Tools, Elements,
Theories (Joseph Becker and Robert M.
Hayes) . . . . . . . . . . . . . . . . . 70--71
Wendell Fleming Book Review: \booktitleMathematical
Optimization Techniques (Richard
Bellman, ed.) . . . . . . . . . . . . . 71--73
C. W. Curtis Book Review: \booktitleRepresentations
of Groups (Hermann Boerner) . . . . . . 73--74
Ronald V. Row Book Review: \booktitleAn Introduction
to Waves, Rays and Radiation in Plasma
Media (Julius J. Brandstatter) . . . . . 75--76
David L. Jagerman Book Review: \booktitleIntroduction to
Nonlinear Differential and Integral
Equations (Harold T. Davis) . . . . . . 76--77
Julian Keilson Book Review: \booktitleNonlinear
Transformations of Random Processes (R.
Deutsch) . . . . . . . . . . . . . . . . 77--78
Donald B. Brick Book Review: \booktitleOptical Character
Recognition (George L. Fischer, Jr.,
Donald K. Pollock, Bernard Radack and
Mary Elizabeth Stevens, eds.) . . . . . 78--79
J. J. Lerin Book Review: \booktitleDifferential
Equations: Geometric Theory (Second
Edition) (S. Lefschetz) . . . . . . . . 79--80
R. J. McGrath Book Review: \booktitleProgress In
Control Engineering, Vol. I. (R. H.
Macmillan, T. J. Higgins, P. Naslin,
eds.) . . . . . . . . . . . . . . . . . 80--81
Walter R. Reitman Book Review: \booktitleSelf-Organizing
Systems, 1962 (Marshall C. Yovits,
George T. Jacobi, Gordon D. Goldstein,
eds.) . . . . . . . . . . . . . . . . . 81--83
Anonymous Other Books Received . . . . . . . . . . 83--84
Anonymous News and Notices . . . . . . . . . . . . 85--109
R. L. Duncan Hit Probabilities for Multiple Weapon
Systems . . . . . . . . . . . . . . . . 111--114
Charles M. Price The Matrix Pseudoinverse and Minimal
Variance Estimates . . . . . . . . . . . 115--120
P. Lancaster Bounds for Latent Roots in Damped
Vibration Problems . . . . . . . . . . . 121--125
C. B. Sharpe Upper Bounds for Resistance and
Reactance Integrals of Analytic
Functions . . . . . . . . . . . . . . . 126--130
Z. A. Melzak Estimating the Volume from Parallel
Cross-Section Areas . . . . . . . . . . 131--133
Leslie D. Gates, Jr. Numerical Solution of Differential
Equations by Repeated Quadratures . . . 134--147
Calvin H. Wilcox Electric Wave Propagation on Non-Uniform
Coupled Transmission Lines . . . . . . . 148--165
R. G. Buschman Convolution Equations with Generalized
Laguerre Polynomial Kernels . . . . . . 166--167
Eugene Wong A Linear Search Problem . . . . . . . . 168--174
James S. W. Wong A Note on Boundedness Theorems of
Certain Second Order Differential
Equations . . . . . . . . . . . . . . . 175--176
Joel L. Brenner A Pair of Combinatorial Identities . . . 177--177
N. G. de Bruijn An Asymptotic Series . . . . . . . . . . 177--177
P. J. Short A Definite Integral . . . . . . . . . . 177--177
Morton L. Slater Gravitational Attraction . . . . . . . . 177--177
M. S. Klamkin A Boundary Value Problem . . . . . . . . 177--178
E. Deutsch and
Thomas Rogge and
J. Ernest Wilkins, Jr. and
M. S. Klamkin Book Review: \booktitleA Steady-State
Temperature (Alan L. Tritter) . . . . . 178--180
Henry D. Friedman Book Review: \booktitleAn Unfriendly
Seating Arrangement (Dave Freedman) . . 180--182
Victor Chew and
M. J. Synge Book Review: \booktitleA Least-Squares
Solution of a Linear System (Franklin W.
Diederich) . . . . . . . . . . . . . . . 182--183
A. Charnes Book Review: \booktitleApplied Dynamic
Programming (Richard E. Bellman and
Stuart E. Dreyfus) . . . . . . . . . . . 184--185
E. H. Bareiss Book Review: \booktitleInvariant
Imbedding and Radiant Transfer in Slabs
of Finite Thickness (R. E. Bellman, R.
E. Kalaba and M. C. Prestrud) . . . . . 185--185
Frank Harary Book Review: \booktitleApplications of
Graph Theory to Group Structure (Claude
Flament) . . . . . . . . . . . . . . . . 185--186
Arthur Wouk Book Review: \booktitleTheory and
Application of Liapunov's Direct Method
(Wolfgang Hahn) . . . . . . . . . . . . 186--187
Richard L. Patterson Book Review: \booktitleMathematical
Theories of Traffic Flow (Frank A.
Haight) . . . . . . . . . . . . . . . . 187--188
D. C. Drucker Book Review: \booktitleLimit Analysis of
Rotationally Symmetric Plates and Shells
(Philip G. Dodge) . . . . . . . . . . . 188--188
E. P. Merkes Book Review: \booktitleThe Application
of Continued Fractions and Their
Generalizations to Problems in
Approximation Theory (A. B. Khovanskii) 188--189
R. A. Clark Book Review: \booktitleThe Theory of
Thin Shells (V. V. Novozhilov) . . . . . 189--190
Marven Marcus Book Review: \booktitleApplications of
the Theory of Matrices (F. R.
Gantmacher) . . . . . . . . . . . . . . 190--191
J. L. Brenner Book Review: \booktitleIntroduction to
Linear Algebra (Frank M. Stewart. D. Van
Nostrand) . . . . . . . . . . . . . . . 191--191
H. F. Karreman Book Review: \booktitleLinear
Programming (G. Hadley) . . . . . . . . 191--192
Anonymous Other Books Received . . . . . . . . . . 192--192
Anonymous News and Notices . . . . . . . . . . . . 193--202
A. T. Berztiss Least Squares Fitting of Polynomials to
Irregularly Spaced Data . . . . . . . . 203--227
R. W. Porter Numerical Solution for Local Emission
Coefficients in Axisymmetric
Self-Absorbed Sources . . . . . . . . . 228--242
John R. Rice and
John S. White Norms for Smoothing and Estimation . . . 243--256
Raimond A. Struble A Note on Damped Oscillations in
Nonlinear Systems . . . . . . . . . . . 257--259
G. Marsaglia and
T. A. Bray A Convenient Method for Generating
Normal Variables . . . . . . . . . . . . 260--264
Samuel P. Morgan Note on Complex Symmetric Kernels and
the Rayleigh--Ritz Procedure . . . . . . 265--268
B. W. Roos Note on Generalized Dynamical Systems 269--274
Beresford Parlett The Development and Use of Methods of $
L R $ Type . . . . . . . . . . . . . . . 275--295
J. P. LaSalle and
W. M. Wonham Book Review: \booktitleThe Second
International Congress of IFAC on
Automatic Control (August 27--September
4, 1963, Basel, Switzerland) . . . . . . 296--309
Paul Brock On a Permutation Sequence . . . . . . . 310--310
Narsingh Deo Graph Theory . . . . . . . . . . . . . . 310--310
William D. Fryer Resistance of a Ladder Network . . . . . 310--310
Perry Scheinok On the Uniqueness of a Probability
Density Function . . . . . . . . . . . . 310--310
Murray S. Klamkin On a Probability of Overlap . . . . . . 311--311
D. J. Newman A Minimum Time Path . . . . . . . . . . 311--313
J. Pullen Book Review: \booktitleAnother Coin
Tossing Problem Donald (J. Persico and
Henry C. Friedman) . . . . . . . . . . . 313--314
James Serrin Book Review: \booktitleThe Mathematical
Theory of Viscous Incompressible Flow
(O. A. Ladyzhenskaya) . . . . . . . . . 315--316
R. A. Willoughby Book Review: \booktitleError Propagation
for Difference Methods (Peter Henrici) 316--317
L. M. Milne-Thomson Book Review: \booktitleSome Problems of
the Mechanics of Deformable Media (I. I.
Gol'denblat) . . . . . . . . . . . . . . 317--318
Bernard Harris Book Review: \booktitleProbability
Theory, third edition (Michel Loeve) . . 318--319
Wilfred Kaplan Book Review: \booktitleLinear System
Theory, the State Space Approach (Lotfi
A. Zadeh and Charles A. Desoer) . . . . 319--320
C. F. Curtiss Book Review: \booktitleNon-Equilibrium
Statistical Mechanics, Vol. 1 (I.
Prigogine) . . . . . . . . . . . . . . . 320--320
R. N. Goss Book Review: \booktitleSome Basic
Problems of the Mathematical Theory of
Elasticity (N. I. Muskhelishvili) . . . 320--321
F. Oberhettinger Book Review: \booktitleComplex Variables
and Applications, Second Edition (Ruel
V. Churchill) . . . . . . . . . . . . . 321--322
P. M. Anselone Book Review: \booktitleSpectral Theory
(E. R. Lorch) . . . . . . . . . . . . . 322--322
F. Oberhettinger Book Review: \booktitleFourier Series
and Boundary Value Problems (Ruel V.
Churchill) . . . . . . . . . . . . . . . 322--322
P. M. Anselone Book Review: \booktitleMathematical
Methods in Physics and Engineering (J.
W. Dettman) . . . . . . . . . . . . . . 323--323
Meyer Dwass Book Review: \booktitleProbabilities on
Algebraic Structures (Ulf Grenander) . . 323--324
A. Charnes Book Review: \booktitleIntroduction to
the Theory of Games (Ewald Burger) . . . 324--325
Anonymous Other books Received . . . . . . . . . . 325--327
Anonymous News and Notices . . . . . . . . . . . . 328--341
S. Ulam Combinatorial Analysis in Infinite Sets
and Some Physical Theories . . . . . . . 343--355
Herbert B. Keller Propagation of Stress Discontinuities in
Inhomogeneous Elastic Media . . . . . . 356--382
G. Blanch Numerical Evaluation of Continued
Fractions . . . . . . . . . . . . . . . 383--421
John Stuelpnagel On the Parametrization of the
Three-Dimensional Rotation Group . . . . 422--430
I. E. Block and
R. F. Drenick A Symposium on the Publication of
Mathematical Literature . . . . . . . . 431--454
N. Mullineux Factorization of a Set of Polynomials 455--455
G. W. Veltkamp A Property of Real Solutions to Bessel's
Equation . . . . . . . . . . . . . . . . 455--456
James F. Foley $N$ th Power of a Matrix . . . . . . . . 456--456
J. Ernest Wilkins, Jr. An Expansion for the Absorptivity of a
Gas . . . . . . . . . . . . . . . . . . 456--456
D. E. Amos Book Review: \booktitleResistance of a
Cut-out Right Circular Cylinder (Alan L.
Tritter) . . . . . . . . . . . . . . . . 457--459
Larry Shepp Normal Functions of Normal Random
Variables . . . . . . . . . . . . . . . 459--460
James W. Burrows and
Wallace Givens Book Review: \booktitleOn a Property of
a Unitary Matrix (J. L. Brenner and F.
T. Smith) . . . . . . . . . . . . . . . 460--461
Eldon Hansen Book Review: \booktitleOn the
Nonnegativity of the Coefficients of a
Certain Series Expansion (Dennis C.
Gilliland) . . . . . . . . . . . . . . . 461--462
Anonymous Theoretical Cybernetics Abstracts . . . 463--463
J. B. Diaz Book Review: \booktitleMethods of
Mathematical Physics, Volume II (R.
Courant and D. Hilbert) . . . . . . . . 463--466
Albert A. Mullin Book Review: \booktitleProceedings of
the Symposium on Mathematical Theory of
Automata, Vol. 12 (Jerome Fox, ed.) . . 466--467
P. M. Anselone Book Review: \booktitleAn Introduction
to Transport Theory (G. M. Wing) . . . . 467--467
R. A. Clark Book Review: \booktitleThe Bending and
Stretching of Plates (E. H. Mansfield) 468--468
Mario Juncosa Book Review: \booktitleProceedings of
the 15th Symposium in Applied
Mathematics of the A.M.S. Experimental
Arithmetic, High Speed Computing and
Mathematics (N. C. Metropolis, A. H.
Taub, John Todd C. B. Tompkins) . . . . 468--471
Arthur Wouk Book Review: \booktitleStability of
Motion (N. N. Krasovskii) . . . . . . . 471--472
John J. Birch Book Review: \booktitleIntroduction to
the Theory of Statistics, 2nd Edition
(Alexander M. Moon and Franklin A.
Graybill) . . . . . . . . . . . . . . . 472--473
P. M. Anselone Book Review: \booktitleMethods in
Analysis (Jack Indritz) . . . . . . . . 474--474
Anonymous Other Books Received . . . . . . . . . . 474--476
Anonymous News and Notices . . . . . . . . . . . . 477--511
Solomon Lefschetz Recent Advances in the Stability of
Nonlinear Controls . . . . . . . . . . . 1--12
S. Birnbaum Perturbation of Eigenvalues --- with an
Engineering Application . . . . . . . . 13--30
Yumin Fu and
Mandyam D. Srinath and
Andrew T. Yen A Note on Multivariate Generating
Functions and Applications to Discrete
Stochastic Processes . . . . . . . . . . 31--41
Philip Wolfe The Composite Simplex Algorithm . . . . 42--54
L. B. Rall Numerical Integration and the Solution
of Integral Equations by the Use of
Riemann Sums . . . . . . . . . . . . . . 55--64
David R. Brillinger A Property of Low-Pass Filters . . . . . 65--67
Joel N. Franklin Numerical Simulation of Stationary and
Non-Stationary Gaussian Random Processes 68--80
R. A. Good $f$-Finger Morra . . . . . . . . . . . . 81--87
Ernest G. Kimme Distributions of Phases of Sinusoidal
Components of Ergodic Trigonometric
Series . . . . . . . . . . . . . . . . . 88--99
Martin S. Tierney and
Paul Waltman and
G. Milton Wing Some Problems in the Optimal Design of
Shields and Reflectors in Particle and
Wave Physics . . . . . . . . . . . . . . 100--113
Anthony Ralston Relative Stability in the Numerical
Solution of Ordinary Differential
Equations . . . . . . . . . . . . . . . 114--125
Richard Bellman An Application of Dynamic Programming to
Location-Allocation Problems . . . . . . 126--128
David Rothman and
Kenneth S. Dams Book Review: \booktitleOn a Zero of an
Implicit Function (M. A. Medick) . . . . 129--131
Paul F. Byrd Book Review: \booktitleAn Approximation
of a Definite Integral (David Rothman) 131--132
John L. Martin Book Review: \booktitleSpatial
Navigation (Walter Weissblum) . . . . . 132--134
Alvin L. Schreiber Book Review: \booktitleA Binary
Multiplication (W. C. McGee) . . . . . . 134--136
John Berterman and
Alan Weinstein Book Review: \booktitleAn Urn Problem
(Daniel H. Wagner) . . . . . . . . . . . 136--138
D. J. Newman Problem 63-2: On Bounds for Matrix
Eigenvalues . . . . . . . . . . . . . . 138--138
I. Farkas Book Review: \booktitleOn a Definite
Integral (Robert Klein) . . . . . . . . 138--139
R. E. Kalman Book Review: \booktitleOptimum Design of
Digital Control Systems (Julius T. Tou) 140--141
F. S. van Vleck Book Review: \booktitleFixed Points and
Topological Degree in Nonlinear Analysis
(Jane Cronin) . . . . . . . . . . . . . 141--143
Preston C. Hammer Book Review: \booktitleTranslations of
Mathematical Monographs, Vol. I. (A. D.
Aleksandrov, A. N. Kolmogorov, and M. A.
Lavrent'ev eds.) . . . . . . . . . . . . 143--148
Harvey P. Carter Book Review: \booktitleAutomatic Data
Processing (Frederick P. Brooks, Jr.,
and Kenneth E. Iverson) . . . . . . . . 148--148
Josephine Mitchell Book Review: \booktitleHarmonic Analysis
of Functions of Several Complex
Variables in the Classical Domains (L.
K. Hua) . . . . . . . . . . . . . . . . 148--149
Roy A. Axford Book Review: \booktitleSlow Viscous Flow
(W. E. Langlois) . . . . . . . . . . . . 149--150
E. H. Bareiss Book Review: \booktitleInvariant
Imbedding and Time-Dependent Transport
Processes (R. E. Bellman, H. H.
Kagiwada, R. E. Kalaba and M. C.
Prestrud) . . . . . . . . . . . . . . . 150--151
Julian Keilson Book Review: \booktitleElements of
Queuing Theory (T. L. Saaty) . . . . . . 151--151
David S. Greenstein Book Review: \booktitleInterpolation and
Approximation (Philip J. Davis) . . . . 151--152
Joshua N. Goldberg Book Review: \booktitleThe Theory of
Space Time and Gravitation, Second
Edition (V. Fock) . . . . . . . . . . . 153--154
J. R. Blum Book Review: \booktitleProceedings of
the Symposium on Time Series Analysis
(Murray Rosenblatt, ed.) . . . . . . . . 154--159
H. O. Pollak Book Review: \booktitleThe Fourier
Integral and Its Applications
(Athanasios Papoulis) . . . . . . . . . 159--161
Anonymous Other Books Received . . . . . . . . . . 161--163
Anonymous News and Notices . . . . . . . . . . . . 164--179
J. Ponstein An Extension of the Min-Max Theorem . . 181--188
E. N. Gilbert Latin Squares which Contain No Repeated
Digrams . . . . . . . . . . . . . . . . 189--198
I. W. Sandberg A Note on the Application of the
Contraction-Mapping Fixed Point Theorem
to a Class of Nonlinear Functional
Equations . . . . . . . . . . . . . . . 199--204
B. A. Fleishman Forced Oscillations and Convex
Superposition in Piecewise-Linear
Systems . . . . . . . . . . . . . . . . 205--222
G. F. Newell Approximation Methods for Queues with
Application to the Fixed-Cycle Traffic
Light . . . . . . . . . . . . . . . . . 223--240
M. R. Leadbetter and
J. D. Cryer Curve Crossings by Normal Processes and
Reliability Implications . . . . . . . . 241--250
Carl E. Pearson A Note on the Second Derivative of a P.
R. Function . . . . . . . . . . . . . . 251--252
Alfred Lehman Postulates for a Normed Boolean Algebra 253--273
Sidney Spital and
J. K. Mackenzie Late Solutions . . . . . . . . . . . . . 274--274
N. G. de Bruijn Book Review: \booktitleAsymptotic
Distribution of Lattice Points in a
Random Rectangle (Walter Weissblum) . . 274--276
Theodore Katsanis Book Review: \booktitleOn Commutative
Rotations (Joel Brenner) . . . . . . . . 276--276
Carl Evans and
John Fleck Book Review: \booktitleA Monotonic
Distribution Function (Carl Evans and
John Fleck) . . . . . . . . . . . . . . 277--278
William F. Trench and
Alan Schumitzky Book Review: \booktitleA Definite
Integral (J. L. Brown, Jr.) . . . . . . 278--280
R. Bojanic Book Review: \booktitleAn Asymptotic
Result on a Zero of a Function (R. L.
Graham and L. Shepp) . . . . . . . . . . 280--283
Arnold Dumey Book Review: \booktitleA Sharp
Autocorrelation Function (Henry D.
Friedman) . . . . . . . . . . . . . . . 283--284
Daniel Shanks Book Review: \booktitleAn Infinite
Permutation (M. S. Klamkin) . . . . . . 284--286
C. J. Bouwkamp Book Review: \booktitleA Resistance
Problem, by Ron L. Graham . . . . . . . 286--290
I. I. Kolodner Book Review: \booktitleOn a Periodic
Solution of a Differential Equation (G.
W. Veltkamp) . . . . . . . . . . . . . . 290--293
Lowell Schoenfeld Book Review: \booktitleOn The
Coefficients of a Trigonometric
Polynomial (D. J. Newman) . . . . . . . 293--294
W. L. Nicholson Book Review: \booktitleOn a Double
Summation (Perry Scheinok) . . . . . . . 294--295
Richard J. McGrath Book Review: \booktitleOptimization
Theory and the Design of Feedback
Control Systems (C. W. Merriam III) . . 296--297
Murray H. Protter Book Review: \booktitleEquations of the
Mixed Type (A. V. Bitsadze) . . . . . . 298--298
Wilfred Kaplan Book Review: \booktitleGeneralized
Functions and Direct Operational
Methods, vol 1 (T. P. G. Liverman) . . . 299--299
H. Hermes Book Review: \booktitlePeriodic
Solutions of Perturbed Second-Order
Autonomous Equations (W. S. Loud) . . . 300--300
Reese T. Prosser Book Review: \booktitleGroup Theory, the
Application to Quantum Mechanics (Paul
Meijer and Edmond Bauer) . . . . . . . . 300--301
Richard DeMar Book Review: \booktitlePolynomial
Expansions of Analytic Functions, Second
Edition (Ralph P. Boas, Jr. and R. C.
Buck) . . . . . . . . . . . . . . . . . 301--302
A. T. Bharucha-Reid Book Review: \booktitleThe Theory of
Branching Processes (Theodore E. Harris) 302--303
H. S. M. Coxeter Book Review: \booktitlePacking and
Covering (C. A. Rogers) . . . . . . . . 303--305
H. Kesten Book Review: \booktitleApplications of
Characteristic Functions (E. Lukacs and
R. A. Laha) . . . . . . . . . . . . . . 305--305
William Beranek Book Review: \booktitleMathematical
Programming and the Analysis of Capital
Budgeting Problems (H. Martin
Weingartner) . . . . . . . . . . . . . . 306--307
R. Goldberg Book Review: \booktitleCounterexamples
in Analysis (Bernard R. Gelbaum and John
M. H. Olmsted) . . . . . . . . . . . . . 307--308
Anonymous Other Books Received . . . . . . . . . . 308--309
Anonymous News and Notices . . . . . . . . . . . . 310--321
R. S. Rivlin Nonlinear Viscoelastic Solids . . . . . 323--340
R. A. Westmann Simultaneous Pairs of Dual Integral
Equations . . . . . . . . . . . . . . . 341--348
Julius Siekmann Note on the Calculation of the Suction
Force . . . . . . . . . . . . . . . . . 349--355
Henry P. Decell, Jr. An Alternate Form of the Generalized
Inverse of an Arbitrary Complex Matri 356--358
R. M. Thrall and
J. E. Falk Some Results Concerning the Kernel of a
Game . . . . . . . . . . . . . . . . . . 359--375
P. I. Richards and
W. D. Lanning and
M. D. Torrey Numerical Integration of Large,
Highly-Damped, Nonlinear Systems . . . . 376--380
Odoardo Brugia A Noniterative Method for the Partial
Fraction Expansion of a Rational
Function with High Order Poles . . . . . 381--387
Bruce E. Goodwin Integral Equations with Nonlinear
Eigenvalue Parameters . . . . . . . . . 388--394
Samuel Kotz Some Inequalities for Convex Functions
Useful in Information Theory . . . . . . 395--402
T. L. Saaty and
G. Suzuki A Nonlinear Programming Model in Optimum
Communication Satellite Use . . . . . . 403--408
Donald E. Amos A Third Order Differential Equation . . 409--409
Grace Wahba A Least Squares Estimate of Satellite
Attitude . . . . . . . . . . . . . . . . 409--409
M. N. S. Swamy On the Zeros of a Set of Polynomials . . 409--410
Mostafa A. Abdelkader Duality in Differential Equations . . . 410--410
N. Mullineux and
J. R. Reed A Double Integral . . . . . . . . . . . 410--411
Samuel P. Morgan and
W. R. Smythe Book Review: \booktitleResistance of a
Cut-Out Right Circular Cylinder (Alan L.
Tritter) . . . . . . . . . . . . . . . . 411--412
H. E. Fettis Book Review: \booktitleOn Integrals
Related to Bessel Functions (Robert E.
Shafer) . . . . . . . . . . . . . . . . 412--415
C. L. Lawson Book Review: \booktitleThe Smallest
Covering Cone or Sphere (C. Groenewod
and L. Eusanio) . . . . . . . . . . . . 415--416
Perry A. Scheinok Book Review: \booktitleReliability
Theory (Walter Weissblum) . . . . . . . 416--417
William I. Trench Book Review: \booktitleAn Asymptotic
Expansions (H. O. Pollak and L. Shepp) 417--420
J. L. Brown, Jr. Book Review: \booktitleA Pair of
Identities (Tom Benedict) . . . . . . . 420--422
J. Ernest Wilkins, Jr. Book Review: \booktitleEscape Velocity
with Drag (D. J. Newman) . . . . . . . . 423--424
R. A. Hurd Book Review: \booktitleA Set of Linear
Equations (M. J. Pascual and J. E.
Zweig) . . . . . . . . . . . . . . . . . 424--428
R. P. Boas, Jr. Book Review: \booktitleA Treatise on
Trigonometric Series (N. K. Bary) . . . 429--431
J. L. B. Cooper Book Review: \booktitleMathematical
Foundations of Thermodynamics (R. Giles) 431--433
D. S. Carter Book Review: \booktitlePerturbation
Techniques in Mathematics, Physics and
Engineering (Richard Bellman) . . . . . 433--433
E. W. Iviarchani Book Review: \booktitleMathematical
Theory of Optics (R. K. Luneburg) . . . 433--435
M. L. Juncosa Book Review: \booktitleMonte Carlo
Methods (J. M. Hammersley and D. C.
Handscomb) . . . . . . . . . . . . . . . 435--436
R. C. Gilbert Book Review:
\booktitleDifferentialoperatoren der
Mathematischen Physik (Gunter Hellwig) 436--436
D. Waterman Book Review: \booktitleReal Analysis (H.
L. Royden) . . . . . . . . . . . . . . . 436--437
John J. Sopka Book Review: \booktitleOperational
Calculus and Generalized Functions
(Arthur Erdélyi) . . . . . . . . . . . . 437--438
Reese T. Prosser Book Review: \booktitleIntroduction to
Field Theory and Dispersion Relations
(R. Hagedorn) . . . . . . . . . . . . . 438--439
Harry Hochstadt Book Review: \booktitlePeriodic
Differential Equations (F. M. Arscott) 439--440
Jacob Korevaar Book Review: \booktitleDifferential
Equations of Mathematical Physics (N. S.
Koshlyakov, M. M. Smirnov, and E. B.
Gliner) . . . . . . . . . . . . . . . . 440--441
Solomon Kullback Book Review: \booktitleProbability,
Random Variables, and Stochastic
Processes (Athanasios Papoulis) . . . . 441--443
Anonymous Other Books Received . . . . . . . . . . 443--445
Anonymous News and Notices . . . . . . . . . . . . 446--461
A. S. Householder The Kantorovich and Some Related
Inequalities . . . . . . . . . . . . . . 463--473
Norman Levinson Simplified Treatment of Integrals of
Cauchy Type, the Hilbert Problem and
Singular Integral Equations. Appendix:
Poincaré--Bertrand Formula . . . . . . . 474--502
Wallace Franck An Optimal Search Problem . . . . . . . 503--512
Gerald Berman A Class of Difference Equations with
Applications . . . . . . . . . . . . . . 513--525
Henry P. Decell, Jr. An Application of the Cayley--Hamilton
Theorem to Generalized Matrix Inversion 526--528
George Seifert Some Recent Results for Almost Periodic
Solutions of Differential Equations . . 529--538
E. J. Martin, Jr. and
N. S. Nahman On the Near-Zone Evaluation of
Circular-Loop Field Integrals . . . . . 539--543
Kasturi L. Arorat and
Nguyen X. Vinh Maximum Range Of Ballistic Missiles . . 544--550
H. A. Luther and
H. P. Konen Some Fifth-Order Classical Runge--Kutta
Formulas . . . . . . . . . . . . . . . . 551--558
A. J. Strecok A Ratio of Two Definite Multiple
Integrals . . . . . . . . . . . . . . . 559--559
A. J. Strecok Solution to an Integral Equation . . . . 559--559
L. A. Shepp A Determinant . . . . . . . . . . . . . 559--560
Roland Silver The Shape of Milner's Lamp . . . . . . . 560--560
G. Hadley Backorder Costs in a Periodic Review
Inventory System . . . . . . . . . . . . 560--562
Wallace Franck An Optimal Search Problem . . . . . . . 562--562
W. T. Moody Limiting Value of a Solution of an
Integral Equation . . . . . . . . . . . 562--562
C. J. Bouwkamp Book Review: \booktitleGravitational
Attraction (Morton L. Slater) . . . . . 562--564
N. G. de Bruijn An Asymptotic Series . . . . . . . . . . 564--565
Herbert B. Rosenstock and
Perry Scheinok and
Sidney Spital Book Review: \booktitleA Definite
Integral (P. J. Short) . . . . . . . . . 565--565
M. G. Murdeshwar and
V. K. Rohatgi Book Review: \booktitleA Pair of
Combinatorial Identities (Joel L.
Brenner) . . . . . . . . . . . . . . . . 566--566
M. S. Klamkin A Boundary Value Problem . . . . . . . . 566--567
M. Z. Nashed Book Review: \booktitleThe Problem of
the Minimum of a Quadratic Functional
(S. G. Mikhlin) . . . . . . . . . . . . 568--569
Preston C. Hammer Book Review: \booktitleQualitative
Methods in Mathematical Analysis (L.
\`E. \`El'sgol'c) . . . . . . . . . . . 570--570
Rodney D. Driver Book Review: \booktitleMethods of A. M.
Lyapunov and Their Application (V. I.
Zubov) . . . . . . . . . . . . . . . . . 570--571
Ralph A. Willoughby Book Review: \booktitleElements of
Numerical Analysis (Peter Henrici) . . . 571--572
Michael Yanowitch Book Review: \booktitleIntegral
Equations and Partial Differential
Equations, vol. IV (V. I. Smirnov) . . . 572--574
Thomas J. Higgins Book Review: \booktitleTopics in the
Theory of Random Noise, vol.1 (R. L.
Stratonovich) . . . . . . . . . . . . . 574--576
Fred Brauer Book Review: \booktitleOrdinary
Differential Equations (Philip Hartman) 576--576
John M. Perry Book Review: \booktitleIntegration of
Equations of Parabolic Type by the
Method of Nets (V. K. Saul'yev) . . . . 576--577
Jet Wimp Book Review: \booktitleSpecial Functions
and Their Applications (N. N. Lebedev) 577--580
Judah Rosenblatt Book Review: \booktitleMathematical
Theory of Reliability. (Richard E.
Barlow and Frank Porschan) . . . . . . . 580--582
R. J. McGrath Book Review: \booktitleModern Control
Theory (J. T. Tou) . . . . . . . . . . . 582--583
Serge J. Zaroodny Book Review: \booktitleThe Flight of
Uncontrolled Rockets (F. R. Gantmacher
and L. M. Levin) . . . . . . . . . . . . 583--585
E. W. Cheney Book Review: \booktitleApproximation von
Funktionen and ihre numerische
Behandlung (Gunter Meinardus) . . . . . 585--585
Tatsuo Kawata Book Review: \booktitleStochastic
Process in Mathematical Physics and
Engineering (Richard Bellman, eds.) . . 586--588
Hans Zassenhaus Book Review: \booktitleGenerators and
Relations for Discrete Groups, second
edition (H. S. M. Coxeter and W. O. J.
Moser) . . . . . . . . . . . . . . . . . 588--588
Anonymous Other Books Received . . . . . . . . . . 588--591
Anonymous News and Notices . . . . . . . . . . . . 592--623
W. M. Kahan A Computable Error-Bound for Systems of
Ordinary Differential Equations
(Abstract) . . . . . . . . . . . . . . . 568--569
Freeman J. Dyson Applications of Group Theory in Particle
Physics . . . . . . . . . . . . . . . . 1--10
J. G. Belinfante and
B. Kolman and
H. A. Smith An Introduction to Lie Groups and Lie
Algebras, with Applications . . . . . . 11--46
Hans C. Joksch Random Errors of Derivatives Obtained
from Least Squares Approximations to
Empirical Functions . . . . . . . . . . 47--56
William F. Trench and
Perry A. Scheinok On the Inversion of a Hilbert Type
Matrix . . . . . . . . . . . . . . . . . 57--61
Harry Hochstadt On the Eigenvalues of a Class of
Integral Equations Arising in Laser
Theory . . . . . . . . . . . . . . . . . 62--65
J. A. Morrison Comparison of the Modified Method of
Averaging and the Two Variable Expansion
Procedure . . . . . . . . . . . . . . . 66--85
E. B. Cobb and
Bernard Harris The Characterization of the Solution
Sets for Generalized Reduced Moment
Problems and Its Application to
Numerical Integration . . . . . . . . . 86--99
A. Wouk A Note on Square Roots of Positive
Operators . . . . . . . . . . . . . . . 100--102
M. D. Greenberg and
John P. Moran Approximate Evaluation of Certain
Functions Arising in Unsteady Airfoil
Theory . . . . . . . . . . . . . . . . . 103--105
D. J. Newman and
L. A. Shepp The Limit of a Product . . . . . . . . . 106--106
E. L. Pugh A Recursion Relation . . . . . . . . . . 106--106
Anonymous Erratum . . . . . . . . . . . . . . . . 107--107
Joseph Arkin A Combinatorial Problem . . . . . . . . 107--107
A. D. Brailsford and
M. S. Klamkin Two Integrals . . . . . . . . . . . . . 107--107
P. C. Murley and
R. R. O'Brien Late Solution . . . . . . . . . . . . . 107--107
Derald Walling A Least Absolute Fit . . . . . . . . . . 107--107
Thomas S. Englar, Jr. and
E. S. Langford and
Judy Richman and
Sidney Spital Book Review: \booktitleOn a Permutation
Sequence (Paul Brook) . . . . . . . . . 108--108
Judy Richmond and
W. Oettli Book Review: \booktitleOn the Uniqueness
of a Probability Density Function (Perry
Scheinok) . . . . . . . . . . . . . . . 108--110
C. J. Bouwkamp Book Review: \booktitleResistance of a
Ladder Network (William D. Fryer) . . . 111--112
P. C. Hemmer and
A. J. Bosch and
W. Oettli Book Review: \booktitleOn a Probability
of Overlap (Murray S. Klamkin) . . . . . 112--115
Evelyn Frank Book Review: \booktitleFactorization of
a Set of Polynomials (N. Mullineux) . . 115--116
Meyer Dwass Book Review: \booktitleMathematical
Theory of Probability and Statistics
(Richard von Viises) . . . . . . . . . . 117--117
L. B. Rall Book Review: \booktitleNonlinear
Mathematics (Thomas L. Saaty and Joseph
Bram) . . . . . . . . . . . . . . . . . 117--118
Bernard Harris Book Review: \booktitleThe Estimation of
Probabilities: an Essay on Modern
Bayesian Methods (I. J. Good) . . . . . 118--119
Erich W. Marchand Book Review: \booktitleElectromagnetic
Theory and Geometrical Optics (Morris
Kline and Irvin W. Kay) . . . . . . . . 119--120
R. P. Kanwal Book Review: \booktitleTheoretical
Hydromechanics (N. E. Kochin, I. A.
Kibel, and N. V. Roze) . . . . . . . . . 120--121
A. M. White Book Review: \booktitleFunctions of a
Complex Variable (Gino Moretti) . . . . 121--122
William M. Stone Book Review: \booktitleComplex
Variables-Special Functions. Vol. III-2
(V. I. Smirnov) . . . . . . . . . . . . 122--122
Hans F. Bueckner Book Review: \booktitlePositive
Solutions of Operator Equations (M. A.
Krasnoselskii) . . . . . . . . . . . . . 122--123
J. N. Goldberg Book Review: \booktitleIntroduction to
the Theory of Relativity and the
Principles of Modern Physics (Huseyin
Yilmaz) . . . . . . . . . . . . . . . . 123--125
Christopher T. H. Baker Book Review: \booktitleAn Introduction
to Numerical Linear Algebra with
Exercises (L. Fox) . . . . . . . . . . . 125--127
R. S. Varga Book Review: \booktitleThe Theory of
Matrices in Numerical Analysis (Alston
S. Householder) . . . . . . . . . . . . 127--128
Anonymous Other Books Received . . . . . . . . . . 128--130
Anonymous News and Notices . . . . . . . . . . . . 131--143
J. Moser On the Theory of Quasiperiodic Motions 145--172
R. P. Boas, Jr. and
Lowell Schoenfeld Indefinite Integration by Residues . . . 173--183
Allan M. Krall On the Michailov Criterion for
Exponential Polynomials . . . . . . . . 184--187
R. F. Millar On the Asymptotic Behavior of Two
Classes of Integrals . . . . . . . . . . 188--195
Henry P. Decell, Jr. and
Robert N. Lea Numerical Integration and
Riemann--Stieltjes Sums . . . . . . . . 196--200
Charles A. Rohde Some Results on Generalized Inverses . . 201--205
Wilhelm S. Ericksen Note on the Equations of Motion of a
Rigid Body . . . . . . . . . . . . . . . 206--210
H. C. Joksch The Reduction of the Variance by Least
Squares of Polynomial Approximations . . 211--219
David P. Brown On the Rank and Nullity of Subgraphs . . 220--223
W. L. Miranker and
B. Weiss The Feynman Operator Calculus . . . . . 224--232
Paul Brook A Multinomial Summation . . . . . . . . 233--233
A. W. Overhauser The Minimum of a Double Integral . . . . 233--233
L. Shepp A Variation of a Theorem of Kakutani . . 233--233
L. Carlitz A Pair of Identities . . . . . . . . . . 233--234
M. B. Mcneil Asymptotic Expansion of a Laplace
Transform . . . . . . . . . . . . . . . 234--234
A. O. L. Atkin Book Review: \booktitleAn Infinite
Permutation (M. S. Klamkin) . . . . . . 234--236
J. J. M. Brands Book Review: \booktitleA Property of
Real Solutions to Bessel's Equation (G.
W. Veltkamp) . . . . . . . . . . . . . . 236--237
Henry E. Fettis Book Review: \booktitleAn Expansion for
the Absorptivity of a Gas (J. Ernest
Wilkins, Jr.) . . . . . . . . . . . . . 237--238
F. W. Ponting and
R. F. Rinehart and
V. O. Mowery and
J. Astin and
T. Krishnan and
T. J. Rao Book Review: \booktitle$N$th Power of a
Matrix (James F. Foley) . . . . . . . . 238--241
Gerard Salton Book Review: \booktitleInformation
Science (Manfred Kochen) . . . . . . . . 242--243
George J. Minty Book Review: \booktitleFinite Graphs and
Networks (Robert G. Busacker and Thomas
L. Saaty) . . . . . . . . . . . . . . . 243--245
Gerald M. Leibowitz Book Review: \booktitleDistribution
Theory and Transform Analysis (A. H.
Zemanian) . . . . . . . . . . . . . . . 245--246
Wilfred Kaplan Book Review: \booktitleDynamics of
Linear Systems (Václav Dolezal) . . . . . 246--247
P. M. Anselone Book Review: \booktitlePartial
Differential Equations (G. Hellwig) . . 247--248
Anonymous Other Books Received . . . . . . . . . . 248--250
Anonymous News and Notices . . . . . . . . . . . . 251--275
J. F. Traub Associated Polynomials and Uniform
Methods for the Solution of Linear
Problems . . . . . . . . . . . . . . . . 277--301
B. L. Schwartz Possible Winners in Partially Completed
Tournaments . . . . . . . . . . . . . . 302--308
S. D. Conte The Numerical Solution of Linear
Boundary Value Problems . . . . . . . . 309--321
W. Fraser and
M. W. Wilson Remarks on the Clenshaw--Curtis
Quadrature Scheme . . . . . . . . . . . 322--327
Frederick J. Beutler Error-Free Recovery of Signals from
Irregularly Spaced Samples . . . . . . . 328--335
R. P. Tewarson On the Product Form of Inverses of
Sparse Matrices . . . . . . . . . . . . 336--342
J. L. Goldberg Bounds on the Derivatives of Positive
Functions . . . . . . . . . . . . . . . 343--345
E. L. Pugh A Gradient Technique of Adaptive Monte
Carlo . . . . . . . . . . . . . . . . . 346--355
Walter P. Reid Transient Temperatures in a $ 30^\circ $
right Triangle . . . . . . . . . . . . . 356--358
David R. Anderson An Existence Theorem for a Solution of $
f'(x) = F(x, f(g(x))) $ . . . . . . . . 359--362
Kurt Kreith Mathematics and Arms Control . . . . . . 363--369
C. A. Harvey Minimax Control of Linear Systems with
Amplitude Bounded Disturbances . . . . . 370--373
H. A. Luther Further Explicit Fifth-Order
Runge--Kutta Formulas . . . . . . . . . 374--380
J. H. Conway and
R. K. Guy Stability of Polyhedra . . . . . . . . . 381--381
A. Heppes A Double Tipping Tetrahedron . . . . . . 381--381
Leo Moser Moving Furniture Through a Hallway . . . 381--381
J. P. Church A Finite Series . . . . . . . . . . . . 381--382
J. Nievergelt On a Control Automaton . . . . . . . . . 382--383
J. H. Van Lint Book Review: \booktitleAn Asymptotic
Expansion (H. O. Pollak and L. Shepp) 383--384
J. L. Farrell and
J. C. Stuelpnagel and
R. H. Wessner and
J. R. Velman and
J. E. Brook Book Review: \booktitleA Least Squares
Estimate of Satellite Attitude (Grace
Wahba) . . . . . . . . . . . . . . . . . 384--386
Sidney Spital and
D. L. Lansing and
H. E. Fettis Book Review: \booktitleA Third Order
Differential Equation (Donald E. Amos) 386--388
A. J. Strecok and
H. E. Fettis and
W. W. Hooker and
L. Magagna and
E. P. Merkes Book Review: \booktitleOn the Zeros of a
Set of Polynomials (M. N. S. Swamy) . . 388--391
D. L. Lansing and
H. E. Fettis Book Review: \booktitleA Double Integral
(N. Mullineux and J. R. Reed) . . . . . 391--392
P. J. Short Book Review: \booktitleA Ratio of Two
Definite Multiple Integrals (A. J.
Strecok) . . . . . . . . . . . . . . . . 393--393
C. J. Bouwkamp Book Review: \booktitleSolution to an
Integral Equation (A. J. Strecok) . . . 393--395
Chr. Gram Book Review: \booktitleFunktional
Analysis and Numerische Mathematik
(Lothar Collatz) . . . . . . . . . . . . 396--397
A. A. Grau Book Review: \booktitleRounding Errors
in Algebraic Processes (J. H. Wilkinson) 397--398
Ervand G. Kogbetliantz Book Review: \booktitleHandbook for
Computing Elementary Functions (L. A.
Lyusternik, O. A. Chervonenkis, and A.
R. Yanpol'skii) . . . . . . . . . . . . 398--399
Ivar Stakgold Book Review: \booktitleThe Theory of
Electromagnetism (D. S. Jones) . . . . . 399--400
A. Chang Book Review: \booktitleRandom Processes
in Nonlinear Control Systems (A. A.
Pervozvanskii) . . . . . . . . . . . . . 400--401
L. B. Rall Book Review:
\booktitleQuasilinearization and
Nonlinear Boundary-Value Problems (R. E.
Bellman and R. E. Kalaba) . . . . . . . 401--402
Cuthbert Daniel Book Review: \booktitleStatistics and
Experimental Design in Engineering and
the Physical Sciences (Norman L. Johnson
and Fred C. Leone) . . . . . . . . . . . 402--404
Maurice Holt Book Review: \booktitleTwo-Dimensional
Problems in Hydrodynamics and
Aerodynamics (L. I. Sedov) . . . . . . . 404--405
Albert A. Mullin Book Review: \booktitleThreshold Logic:
a Synthesis Approach (Michael L.
Dertouzos) . . . . . . . . . . . . . . . 405--406
John W. Carr III Book Review: \booktitleIntroduction to
ALGOL (R. Baumann, M. Feliciano, F. L.
Bauer and K. Samelson) . . . . . . . . . 406--407
Walter J. Culver Book Review: \booktitleSystems and
Simulation (Dimitris N. Chorafas) . . . 407--409
T. Y. Chow Book Review: \booktitleIntermediate
Differential Equations (Earl D.
Rainville) . . . . . . . . . . . . . . . 409--411
Tatsuo Kawata Book Review: \booktitleProbability
Theory (K. Krickeberg) . . . . . . . . . 411--413
Anonymous Other Books Received . . . . . . . . . . 413--416
Anonymous News and Notices . . . . . . . . . . . . 417--426
David W. Fox and
Werner C. Rheinboldt Computational Methods for Determining
Lower Bounds for Eigenvalues of
Operators in Hilbert Spaces . . . . . . 427--462
Robert B. Kelman and
Donald J. Marsh and
Henry C. Howard Nonmonotonicity of Solutions of Linear
Differential Equations Occurring in the
Theory of Urine Formation . . . . . . . 463--478
Larry Bobisud On the Single First-Order Partial
Differential Equation with a Small
Parameter . . . . . . . . . . . . . . . 479--493
Murray S. Klamkin A Duality Relation in Differential
Equations and Some Associated Functional
Equations . . . . . . . . . . . . . . . 494--500
S. G. Mohanty Some Convolutions with Multinomial
Coefficients and Related Probability
Distributions . . . . . . . . . . . . . 501--509
P. Krolak A Property of the Krolak--Cooper
Extension of Fibonaccian Search . . . . 510--517
T. N. E. Greville Note on the Generalized Inverse of a
Matrix Product . . . . . . . . . . . . . 518--521
F. A. Graybill and
C. D. Meyer and
R. J. Painter Note on the Computation of the
Generalized Inverse of a Matrix . . . . 522--524
Wallace Franck Errata: ``An Optimal Search Problem'' 524--524
A. A. Mullin On Certain Systems Matrices . . . . . . 525--525
A. Silvestri Connecting Points in a Cubic Lattice . . 525--525
P. J. Short An Incomplete Laplace Transform . . . . 525--526
Anonymous Errata . . . . . . . . . . . . . . . . . 526--526
D. J. Newman A Variation of the Game of ``Twenty
Questions'' . . . . . . . . . . . . . . 526--526
John H. Rowland A Counting Circuit Problem . . . . . . . 526--526
Mostafa A. Abdelkader Duality in Differential Equations . . . 526--529
L. A. Shepp Book Review: \booktitleA Determinant (L.
A. Shepp) . . . . . . . . . . . . . . . 529--530
J. D. Lawson Book Review: \booktitleThe Shape of
Miler's Lamp (Roland Silver) . . . . . . 530--532
D. K. Guha Book Review: \booktitleBackorder Costs
in a Periodic Review Inventory System
(G. Hadley) . . . . . . . . . . . . . . 532--535
D. L. Lansing and
F. W. Steutel Book Review: \booktitleLimiting Value of
a Solution of an Integral Equation (W.
T. Moody) . . . . . . . . . . . . . . . 535--539
L. Carlitz Book Review: \booktitleA Recursion
Relation (E. L. Pugh) . . . . . . . . . 539--540
Perry Scheinok and
D. J. Newman and
L. A. Shepp Book Review: \booktitleThe Limit of a
Product (D. J. Newman and L. A. Shepp) 540--542
B. N. Parlett Book Review: \booktitleThe Algebraic
Eigenvalue Problem (J. H. Wilkinson) . . 543--545
J. M. Cook Book Review: \booktitlePerturbation of
Spectra in Hubert Space (K. O.
Friedrichs) . . . . . . . . . . . . . . 545--546
Albert A. Blank Book Review: \booktitleNon-Linear Wave
Propagation with Applications to Physics
and Magnetohydrodynamics (A. Jeffrey and
T. Taniuti) . . . . . . . . . . . . . . 546--547
Huber Halkin Book Review: \booktitleDynamic
Programming and the Calculus of
Variations (Stuart E. Dreyfus) . . . . . 547--549
Larry K. Flanigan Book Review: \booktitleComputer
Software. Programming Systems for
Digital Computers (Ivan Flores) . . . . 549--550
Herbert S. Wilf Book Review: \booktitleIterative Methods
for the Solution of Equations (J. F.
Traub) . . . . . . . . . . . . . . . . . 550--551
John Gurland Book Review: \booktitleMultidimensional
Gaussian Distributions (Kenneth S.
Miller) . . . . . . . . . . . . . . . . 551--551
Alvin M. White Book Review: \booktitleSelected Topics
in the Classical Theory of Functions of
a Complex Variable (Maurice Heins) . . . 552--552
Anonymous Other Books Received . . . . . . . . . . 552--555
Anonymous News and Notices . . . . . . . . . . . . 556--591
John W. Tukey Discussion of Session 1 . . . . . . . . 308--310
Stanis\law M. Ulam An education in applied math . . . . . . 343--344
Eugene P. Wigner Random Matrices in Physics . . . . . . . 1--23
Walter Gautschi Computational Aspects of Three-Term
Recurrence Relations . . . . . . . . . . 24--82
Frank Harary Graphs and Matrices . . . . . . . . . . 83--90
R. P. Tewarson The Product Form of Inverses of Sparse
Matrices and Graph Theory . . . . . . . 91--99
David G. Moursund Application of Numerical Maximization
and Minimization Techniques to Chebyshev
Approximation . . . . . . . . . . . . . 100--106
J. B. Harkin Mean Stieltjes Integrals of Order $p$ 107--114
J. Ponstein Seven Kinds of Convexity . . . . . . . . 115--119
C. J. Bouwkamp Nonlinear Eigenvalue Problem . . . . . . 120--120
J. P. Church A Finite Series . . . . . . . . . . . . 120--120
Howell K. Wilson On the Average of a Convex Function . . 120--121
L. Carlitz A Double Sum . . . . . . . . . . . . . . 121--121
M. Lawrence Glasser A Definite Integral . . . . . . . . . . 121--121
D. J. Newman and
W. Weissblum ``Up-Down'' Permutations . . . . . . . . 121--121
Walter Weissblum Book Review: \booktitleSorting Problem
(Walter Weissblum) . . . . . . . . . . . 121--122
Ian Barrodale and
R. R. Singleton Book Review: \booktitleA Least Absolute
Fit (Derald Walling) . . . . . . . . . . 122--124
L. Carlitz Book Review: \booktitleA Combinatorial
Problem (Joseph Arkin) . . . . . . . . . 124--124
Yudell Luke and
A. J. Strecok and
J. L. Brown, Jr. Book Review: \booktitleTwo Integrals (A.
D. Brailsford and M. S. Klamkin) . . . . 124--127
A. W. Overhauser and
Paul I. Richards Book Review: \booktitleThe Minimum of a
Double Integral (A. W. Overhauser) . . . 127--129
Erwin H. Bareiss Book Review: \booktitleRadiative
Transfer on Discrete Spaces (Rudolph W.
Preisendorfer) . . . . . . . . . . . . . 130--131
H. Hermes Book Review: \booktitleTime-Lag Control
Systems (M. Namik Ogustoreli) . . . . . 131--132
Joseph B. Keller Book Review: \booktitleElectromagnetic
Diffraction and Propagation Problems (V.
A. Fock) . . . . . . . . . . . . . . . . 132--133
William C. McGee Book Review: \booktitleAdvances in
Programming & Non-Numerical Computation
(L. Fox) . . . . . . . . . . . . . . . . 133--136
Millard W. Johnson, Jr. Book Review: \booktitleTheory of
Elasticity of an Anisotropic Elastic
Body (S. G. Lekhnitskii) . . . . . . . . 136--136
F. Eicker Book Review: \booktitleMathematical
Foundations of the Calculus of
Probability (Jacques Neveu) . . . . . . 136--139
Boris Garfinkel Book Review: \booktitleMathematical
Introduction to Celestial Mechanics
(Harry Pollard) . . . . . . . . . . . . 139--140
Herbert C. Kranzer Book Review: \booktitleLinearized
Analysis of One-Dimensional
Magnetohydrodynamic Flows (Roy M.
Gundersen) . . . . . . . . . . . . . . . 140--142
A. T. Bharucha-Reid Book Review: \booktitleStochastic
Processes: Basic Theory and Applications
(N. U. Prabhu) . . . . . . . . . . . . . 142--142
Anonymous Other Books Received . . . . . . . . . . 142--145
Anonymous News and Notices . . . . . . . . . . . . 146--164
Eric V. Denardo Contraction Mappings in the Theory
Underlying Dynamic Programming . . . . . 165--177
Arthur M. Geoffrion Integer programming by implicit
enumeration and Balas' method . . . . . 178--190
R. J. Levit The Zeros of the Hahn Polynomials . . . 191--203
Tsung Yen Na Transforming Boundary Conditions to
Initial Conditions for Ordinary
Differential Equations . . . . . . . . . 204--210
Harry Hochstadt The Mean Convergence of Fourier--Bessel
Series . . . . . . . . . . . . . . . . . 211--218
J. K. Mackenzie Evaluation of a Fourier Transform . . . 219--222
William L. Shepherd Modular Measurements of a Distance . . . 223--228
L. Carlitz A Binomial Identity . . . . . . . . . . 229--231
Charles W. Valentine A Method for Partial Fraction
Decomposition . . . . . . . . . . . . . 232--233
Irwin Greenberg The Behavior of a Simple Queue at
Various Times and Epochs . . . . . . . . 234--248
T. N. E. Greville Erratum: Generalized Inverse of a Matrix
Product . . . . . . . . . . . . . . . . 249--249
J. N. Lyness A Trigonometric Inequality . . . . . . . 250--250
M. B. McNeil An Integral Recurrence Relation . . . . 250--250
D. J. Newman A Double-Cone Radar Search . . . . . . . 250--250
P. R. Vein On Existence of Two Sequences . . . . . 250--251
Donald L. Lansing An Asymptotic Expansion . . . . . . . . 251--251
George M. Ewing On a Least Square Approximation . . . . 251--252
F. W. Steutel and
S. S. Kapur and
H. W. Gould and
A. Makowski Book Review: \booktitleA Multinomial
Summation (Paul Brock) . . . . . . . . . 252--253
Walter Weissblum Book Review: \booktitleA Variation of a
Theorem of Kakutani (L. Shepp) . . . . . 253--254
George E. Andrews and
I. Gerst Book Review: \booktitleA Pair of
Identities (L. Carlitz) . . . . . . . . 254--256
John R. Rice Book Review: \booktitleTchebycheff
Systems: With Applications in Analysis
and Statistics (Samuel Karlin and
William J. Studden) . . . . . . . . . . 257--258
John A. Nohel Book Review: \booktitleNonlinear
Differential Equations (G. Sansone and
R. Conti) . . . . . . . . . . . . . . . 258--260
Paul Slepian Book Review: \booktitleNetwork Theory:
Analysis and Synthesis (Shlomo Karni) 260--262
Henry Hermes Book Review: \booktitleNonlinear
Differential Equations (T. V. Davies and
Eleanor M. James) . . . . . . . . . . . 262--264
E. W. Cheney Book Review: \booktitleBook Review:
\booktitleChebyshev Methods in Numerical
Approximation (Martin Avery Snyder) . . 264--264
Jagdish Chandra Book Review: \booktitleOrdinary
Differential Equations (Fred Brauer and
John Nohel) . . . . . . . . . . . . . . 264--265
Tatsuo Kawata Book Review: \booktitleA First Course in
Stochastic Processes (Samuel Karlin) . . 265--266
Jacob J. Levin Book Review: \booktitleOrdinary
Differential Equations (I. G. Petrovski) 266--267
Anonymous Other Books Received . . . . . . . . . . 267--269
Anonymous News and Notices . . . . . . . . . . . . 270--287
H. J. Greenberg Preface . . . . . . . . . . . . . . . . 291--291
Anonymous Participants . . . . . . . . . . . . . . 292--292
C. C. Lin I. Objectives of Applied Mathematics
Education . . . . . . . . . . . . . . . 293--311
P. D. Lax II. The Mathematics Curriculum . . . . . 312--325
E. W. Montroll III. The Science Curriculum . . . . . . 326--346
George F. Carrier IV. Training In Applied Mathematics
Research . . . . . . . . . . . . . . . . 347--365
J. B. Rosser V. The Research Program In Applied
Mathematics . . . . . . . . . . . . . . 366--387
R. E. Gomory VI. Post-Doctoral Experience . . . . . . 388--410
F. J. Weyl VII. Summary of the Conference . . . . . 411--415
J. Barkley Rosser A Runge--Kutta for all Seasons . . . . . 417--452
L. E. Payne Isoperimetric Inequalities and Their
Applications . . . . . . . . . . . . . . 453--488
George E. Forsythe Today's Computational Methods of Linear
Algebra . . . . . . . . . . . . . . . . 489--515
F. R. Deutsch and
P. H. Maserick Applications of the Hahn--Banach Theorem
in Approximation Theory . . . . . . . . 516--530
Karl Gustafson and
Vincent Sigillito Inequalities for Nonlocal Parabolic and
Higher Order Elliptic Equations . . . . 531--541
W. J. Harrington A Property of Mellin Transforms . . . . 542--547
Paul I. Richards Precedence Constraints and Arrow
Diagrams . . . . . . . . . . . . . . . . 548--553
J. J. Bongiorno, Jr. On the Response of Linear Systems to
Inputs with Limited Amplitudes and
Slopes . . . . . . . . . . . . . . . . . 554--563
T. Pomentale On Minimization of Backboard Wiring
Functions . . . . . . . . . . . . . . . 564--568
Ian N. Sneddon The Evaluation of an Integral Involving
the Product of Two Gegenbauer
Polynomials . . . . . . . . . . . . . . 569--572
Bennett Fox Existence of Stationary Optimal Policies
for Some Markov Renewal Programs . . . . 573--576
Murray S. Klamkin and
Donald J. Newman Extended Reducibility of Some
Differential Operators . . . . . . . . . 577--580
Vincent G. Sigillito Pointwise Bounds for Solutions of
Semilinear Parabolic Equations . . . . . 581--585
William Sollfrey On a Bessel Function Integral . . . . . 586--589
Joel L. Brenner Convergence of an Iteration . . . . . . 590--590
D. J. Newman An Integral Inequality . . . . . . . . . 590--590
Olga Taussky On Two Matrices . . . . . . . . . . . . 590--590
Paul J. Schweitzer Elementary Symmetric Polynomials . . . . 590--591
Mary Beth Stearns Probability Distribution of a Network of
Triangles . . . . . . . . . . . . . . . 591--591
Solomon A. Zadoff Book Review: \booktitleA Sharp
Autocorrelation Function (Henry D.
Friedman) . . . . . . . . . . . . . . . 591--593
Donald L. Lansing Book Review: \booktitleAsymptotic
Expansion of a Laplace Transform (M. B.
McNeil) . . . . . . . . . . . . . . . . 593--599
A. Heppes Book Review: \booktitleA Double Tipping
Tetrahedron (A. Heppes) . . . . . . . . 599--600
J. M. Cook Book Review: \booktitleDifferential
Space, Quantum Systems, and Prediction
(Norbert Wiener, Armand Siegel, Bayard'
Rankin and William Ted Martin) . . . . . 601--602
Emanuel Parzen Book Review: \booktitleStochastic
Processes (M. Girault) . . . . . . . . . 602--602
Calvin H. Wilcox Book Review: \booktitleDifferential- and
Integral- Ungleichungen (Wolfgang
Walter) . . . . . . . . . . . . . . . . 603--605
J. H. B. Kemperman Book Review: \booktitleCoding Theorems
of Information Theory. Second edition
(J. Wolfowitz) . . . . . . . . . . . . . 605--606
Wilfred Kaplan Book Review: \booktitleFourier
Transforms and the Theory of
Distributions (J. Arsac) . . . . . . . . 606--607
Adi Ben-Israel Book Review: \booktitleLinear
Programming (Michel Simonnard) . . . . . 608--608
A. S. Householder Book Review: \booktitleSolution of
Equations and Systems of Equations (A.
M. Ostrowski) . . . . . . . . . . . . . 608--609
W. B. Gragg Book Review: \booktitleNumerical
Solution of Initial Value Problems (F.
Ceschino and J. Kuntzmann) . . . . . . . 609--610
Eldon Hansen Book Review: \booktitleInterval Analysis
(Ramon E. Moore) . . . . . . . . . . . . 610--612
William C. McGee Book Review: \booktitleLogic and
Algorithms: With Applications to the
Computer and Information Sciences
(Robert R. Korfhage) . . . . . . . . . . 612--613
L. K. Flanigan Book Review: \booktitlePL/I Programming
Primer (Gerald M. Weinberg) . . . . . . 613--613
Albert A. Mullin Book Review: \booktitleApplied Boolean
Algebra (Franz E. Hohn) . . . . . . . . 613--614
Anonymous Other Books Received . . . . . . . . . . 614--618
Anonymous News and Notices . . . . . . . . . . . . 619--626
Colin Clark The Asymptotic Distribution of
Eigenvalues and Eigenfunctions for
Elliptic Boundary Value Problems . . . . 627--646
T. E. Hull A Search for Optimum Methods for the
Numerical Integration of Ordinary
Differential Equations . . . . . . . . . 647--654
G. M. Wing On Certain Fredholm Integral Equations
Reducible to Initial Value Problems . . 655--670
Henry F. Cooper, Jr. Propagation of One-Dimensional Waves in
Inhomogeneous Elastic Media . . . . . . 671--679
J. N. Cooper and
R. A. Restrepo Some Problems of Attack and Defense . . 680--691
Wai-Kai Chen On Directed Graph Solutions of Linear
Algebraic Equations . . . . . . . . . . 692--707
Marakatha Krishnan The Noncentral Bivariate Chi
Distribution . . . . . . . . . . . . . . 708--714
H. L. Gray and
P. L. Odell On Least Favorable Density Functions . . 715--720
D. O. Reudink Convolution Transforms Whose Inversions
have the Same Kernel . . . . . . . . . . 721--725
D. Willett Uniqueness of Solutions of Boundary
Value Problems . . . . . . . . . . . . . 726--728
M. M. Chawla On the Chebyshev Polynomials of the
Second Kind . . . . . . . . . . . . . . 729--733
Howell K. Wilson On a Singular Boundary Value Problem . . 734--736
Robert M. Bullock A Uniqueness Theorem for a
Delay-Differential System . . . . . . . 737--740
Jerome L. Sackman A Uniqueness Theorem for a Nonlinear,
Steadily Creeping Body . . . . . . . . . 741--743
D. J. Newman and
W. E. Weissblum Expectations in Certain Reliability
Problems . . . . . . . . . . . . . . . . 744--747
C. J. Bouwkamp An Integral Equation . . . . . . . . . . 748--748
J. Neuringer and
D. J. Newman An Extremal Problem . . . . . . . . . . 748--748
P. I. Richards A Generating Function . . . . . . . . . 748--749
L. Carlitz A Quadruple Integral . . . . . . . . . . 749--749
W. Squire Gauss--Fourier Quadrature . . . . . . . 749--749
R. Bojanic and
H. W. Gould and
D. L. Lansing and
J. M. Honer and
A. Milewski and
D. E. Amos Book Review: \booktitleA Finite Series
(J. P. Church) . . . . . . . . . . . . . 749--750
L. E. Dickson Book Review: \booktitleOn Certain
Systems Matrices (A. A. Mullin) . . . . 750--751
A. Silvestri Connecting Points in a Cubic Lattice . . 751--752
S. Stein Book Review: \booktitleAn Incomplete
Laplace Transform (P. J. Short) . . . . 752--754
Nicholas D. Kazarinoff Book Review: \booktitleFormulas and
Theorems for the Special Functions of
Mathematical Physics (Wilhelm Magnus,
Fritz Oberhettinger and Raj Pal Soni) 755--755
Alvin M. White Book Review: \booktitleAnalytic
Functions (M. A. Evgrafov) . . . . . . . 755--756
Richard S. Varga Book Review: \booktitleIterative
Solution of Elliptic Systems and
Applications to the Neutron Diffusion
Equations of Reactor Physics (Eugene L.
Wachspress) . . . . . . . . . . . . . . 756--758
Seymour S. Parter Book Review: \booktitleTheoretical
Numerical Analysis (Burton Wendroff) . . 758--759
Arthur Wouk Book Review: \booktitleConstructive Real
Analysis (Allen A. Goldstein) . . . . . 759--759
Jet Wimp Book Review: \booktitleTranscendental
Functions Satisfying Nonhomogeneous
Linear Differential Equations (A. W.
Babister) . . . . . . . . . . . . . . . 759--761
Bernard Harris Book Review: \booktitleThe Logic of
Decision (Richard C. Jeffrey) . . . . . 761--763
Hubert W. Lilliefors Book Review: \booktitleTheory of
Probability (Bernard Harris) . . . . . . 763--764
R. F. Datko Book Review: \booktitleAn Introduction
to Optimal Control (George Leitmann) . . 764--765
Anonymous Other Books Received . . . . . . . . . . 765--768
Anonymous News and Notices . . . . . . . . . . . . 769--777
A. H. Zemanian An Introduction to Generalized Functions
and the Generalized Laplace and Legendre
Transformations . . . . . . . . . . . . 1--24
G. Stephen Jones and
Aaron Strauss An Example of Optimal Control . . . . . 25--55
A. S. Householder Bigradients and the Problem of Routh and
Hurwitz . . . . . . . . . . . . . . . . 56--66
Frank M. Cholewinski and
Deborah Tepper Haimo Classical Analysis and the Generalized
Heat Equation . . . . . . . . . . . . . 67--80
R. W. Gunderson and
J. H. George On the Equivalence of Certain Stability
Properties . . . . . . . . . . . . . . . 81--84
Tsung Yen Na Further Extension on Transforming from
Boundary Value to Initial Value Problems 85--87
James S. W. Wong A Note on Second Order Nonlinear
Oscillation . . . . . . . . . . . . . . 88--91
P. M. Anselone Book Review: \booktitleBoundary Value
Problems of Mathematical Physics, Volume
I (Ivar Stakgold) . . . . . . . . . . . 92--93
Jerrold Bebernes Book Review: \booktitleDifferential
Equations Stability, Oscillations, Time
Lags (A. Halanay) . . . . . . . . . . . 93--94
Tatstuo Kawata Book Review: \booktitleStationary and
Related Stochastic Processes (Harald
Cramér and M. R. Leadbetter) . . . . . . 94--95
Marvin Shinbrot Book Review: \booktitleDistributions and
the Boundary Values of Analytic
Functions (E. J. Beltrami and M. R.
Wohlers) . . . . . . . . . . . . . . . . 95--95
Adi Ben-Israel Book Review: \booktitleMethodes de
Calcul Numérique-tome 2: Elements de
Théorie des Matrices Carrées et Rectangles
en Analyse Numérique (A. Korganoff and M.
Pavel-Parvu) . . . . . . . . . . . . . . 95--96
James E. Falk Book Review: \booktitleNonlinear
Programming (Hans Paul Künzi and Wilhelm
Krelle in collaboration with Werner
Oettli) . . . . . . . . . . . . . . . . 96--97
Anonymous Other Books Received . . . . . . . . . . 97--100
Anonymous Chronicle . . . . . . . . . . . . . . . 101--106
J. C. Turner and
V. Conway A Network Inequality . . . . . . . . . . 107--108
A. J. Turski An Integral Equation of Convolution Type 108--108
Y. P. Sabharwal A Sequence of Symmetric Bernoulli Trials 108--109
C. L. Mallows Extrema of Expectations of Uniform
Order-Statistics . . . . . . . . . . . . 109--109
Grace Wahba A Family of Summation Formulae . . . . . 109--109
Henry E. Fettis Book Review: \booktitleAn Approximation
of a Definite Integral (David Rothman) 110--112
M. Oleszkiewicz Book Review: \booktitleOn a Probability
of Overlap (Murray S. Klamkin) . . . . . 112--112
Henry P. Kramer Book Review: \booktitleA Counting
Circuit Problem (John H. Rowland) . . . 112--113
D. J. Newman A Variation of the Game of ``Twenty
Questions'' . . . . . . . . . . . . . . 113--114
C. J. Bouwkamp A Nonlinear Eigenvalue Problem . . . . . 114--115
W. van der Meiden Book Review: \booktitleOn the Average of
a Convex Function (Howell K. Wilson) . . 115--116
Henry E. Fettis Book Review: \booktitleA Definite
Integral (M. Lawrence Glasser) . . . . . 116--117
L. Carlitz A Double Sum . . . . . . . . . . . . . . 117--119
Philip Rabinowitz Applications of Linear Programming to
Numerical Analysis . . . . . . . . . . . 121--159
J. G. Belinfante and
B. Kolman and
H. A. Smith An Introduction to Lie Groups and Lie
Algebras, with Applications. II: The
Basic Methods and Results of
Representation Theory . . . . . . . . . 160--195
A. G. Mackie Some Comments on Existence and
Uniqueness Theorems in Applied
Mathematics with an Application to Thin
Airfoil Theory . . . . . . . . . . . . . 196--207
Gerald L. Morris and
Patrick L. Odell A Characterization for Generalized
Inverses of Matrices . . . . . . . . . . 208--211
E. J. Beltrami Another Proof of Weyl's Lemma . . . . . 212--213
Henry E. Fettis Generalization of a Bessel Function
Integral . . . . . . . . . . . . . . . . 214--215
N. S. Urquhart Computation of Generalized Inverse
Matrices which Satisfy Specified
Conditions . . . . . . . . . . . . . . . 216--218
J. Warga The Reduction of Certain Control
Problems to an ``Ordinary Differential''
Type . . . . . . . . . . . . . . . . . . 219--222
Thomas E. Phipps, Jr. A Continued Fraction Representation of
Eigenvalues . . . . . . . . . . . . . . 223--224
L. Carlitz An Infinite Set of Simultaneous
Equations . . . . . . . . . . . . . . . 224--224
Murlan S. Corrington Numerical Evaluation of Some Integrals 224--224
Wai-Kai Chen Inverse of a Laplace Transform . . . . . 224--225
Sylvan Katz Rank and Eigenvalues of a Matrix . . . . 225--225
H. W. Gould Book Review: \booktitle``Up-Down''
Permutations (D. J. Newman and W.
Weissblum) . . . . . . . . . . . . . . . 225--226
F. W. Steutel Book Review: \booktitleA Trigonometric
Inequality (J. N. Lyness) . . . . . . . 226--227
Henry E. Fettis and
Anthony J. Strecok Book Review: \booktitleAn Integral
Recurrence Relation (M. B. McNeil) . . . 227--229
Yudell L. Luke Book Review: \booktitleAn Asymptotic
Expansion (Donald L. Lansing) . . . . . 229--232
Jacob Korevaar Book Review: \booktitleMathematics for
the Physical Sciences (Laurent Schwartz) 233--234
Adi Ben-Israel Book Review: \booktitleGeometric
Programming-Theory and Application (R.
J. Duffin, E. L. Peterson and C. Zener) 235--236
Judah Rosenblatt Book Review: \booktitleSequential
Methods in Statistics (G. Barrie
Wetherill) . . . . . . . . . . . . . . . 236--237
John W. Van Ness Book Review: \booktitleProbability (John
Lamperti) . . . . . . . . . . . . . . . 237--238
Adi Ben-Israel Book Review: \booktitleProgramming,
Games and Transportation Networks
(Claude Bergs and A. Ghouila) . . . . . 238--239
Frank Stenger Book Review: \booktitleNumerical
Integration (Philip J. Davis and Philip
Rabinowitz) . . . . . . . . . . . . . . 239--240
Arthur Wouk Book Review: \booktitleIntroduction to
the Theory of Differential Equations
with Deviating Arguments (L. E.
El'sgol'ts) . . . . . . . . . . . . . . 240--241
Anonymous Other Books Received . . . . . . . . . . 242--243
Anonymous Chronicle . . . . . . . . . . . . . . . 244--290
R. F. Christy The Dynamics of Variable Stars . . . . . 291--302
S. K. Zaremba The Mathematical Basis of Monte Carlo
and Quasi-Monte Carlo Methods . . . . . 303--314
Lloyd D. Fosdick The Monte Carlo Method in Quantum
Statistics . . . . . . . . . . . . . . . 315--328
Rodney D. Driver On Ryabov's Asymptotic Characterization
of the Solutions of Quasi-Linear
Differential Equations with Small Delays 329--341
Jay P. Fillmore and
Morris L. Marx Linear Recursive Sequences . . . . . . . 342--353
T. C. Hu Recent Advances in Network Flows . . . . 354--359
Roman L. Weil, Jr. Game Theory and Eigensystems . . . . . . 360--367
J. R. Kuttler and
V. G. Sigillito Lower Bounds for Stekloff and Free
Membrane Eigenvalues . . . . . . . . . . 368--370
Arthur F. Veinott, Jr. and
George B. Dantzig Integral Extreme Points . . . . . . . . 371--372
Marcel Meicler Chebyshev Solution of an Inconsistent
System of $ n + 1 $ Linear Equations in
$n$ Unknowns in Terms of Its Least
Squares Solution . . . . . . . . . . . . 373--375
Harry Denman The Inverse of a Matrix . . . . . . . . 376--376
Stanley Rabinowitz Optimal Search Paths . . . . . . . . . . 376--376
B. A. Fusaro A Volterra Integral Equation . . . . . . 377--377
James D. Riley A Set of Inequalities . . . . . . . . . 377--377
B. D. Sivazlian Two Double Integrals . . . . . . . . . . 377--377
Anonymous Book Review: \booktitleConvergence of an
Iteration (Joel L. Brenner) . . . . . . 377--379
D. Z. Djokovi\'c Book Review: \booktitleOn Two Matrices
(Olga Taussky) . . . . . . . . . . . . . 379--379
D. Z. Djokovi\'c and
W. B. Gragg Book Review: \booktitleElementary
Symmetric Polynomials (Paul J.
Schweitzer) . . . . . . . . . . . . . . 379--380
Burton Wendroff Book Review: \booktitleDifference
Methods for Initial-Value Problems
(Robert D. Richtmyer and K. W. Morton) 381--383
Wilfred Kaplan Book Review: \booktitleApplications of
Undergraduate Mathematics in Engineering
(Ben Noble) . . . . . . . . . . . . . . 383--384
R. L. Johnston Book Review: \booktitleComputer Solution
of Linear Algebraic Systems (George E.
Forsythe and Cleve B. Moler) . . . . . . 384--385
William Prager Book Review: \booktitleFoundations of
the Non-Linear Mechanics of Continua (L.
I. Sedov) . . . . . . . . . . . . . . . 385--386
Lawrence E. Payne Book Review: \booktitleMaximum
Principles in Differential Equations
(Murray H. Protter and Hans F.
Weinberger) . . . . . . . . . . . . . . 386--387
T. L. Saaty Book Review: \booktitleThe Theory of
Max-Min (John M. Danskin) . . . . . . . 387--388
A. Descloux Book Review: \booktitleProceedings of
the Symposium on Congestion Theory
(Walter L. Smith and William E.
Wilkinson, eds.) . . . . . . . . . . . . 388--391
Marvin Rosenblum Book Review: \booktitleCommutation
Properties of Hilbert Space Operators
and Related Topics (C. R. Putnam) . . . 391--391
Arthur Wouk Book Review: \booktitleApproximate
Methods for Solution of Differential and
Integral Equations (S. G. Mikhlin and K.
L. Smolitskiy) . . . . . . . . . . . . . 391--392
H. Taylor Book Review: \booktitleBayesian Decision
Problems and Markov Chains (J. J.
Martin) . . . . . . . . . . . . . . . . 392--393
Dan Chazan Book Review: \booktitleIntroduction to
Approximation Theory (E. W. Cheney) . . 393--394
Hubert W. Lilliefors Book Review: \booktitleElements of
Nonparametric Statistics (Gottfried E.
Noether) . . . . . . . . . . . . . . . . 394--396
Ram P. Kanwal Book Review: \booktitleStability of
Parallel Flows (Robert Betchov and
William O. Criminale, Jr.) . . . . . . . 396--396
M. Donald MacLaren Book Review: \booktitleList Processing
(J. M. Foster) . . . . . . . . . . . . . 396--396
John M. Perry Book Review: \booktitleNumerical
Solution of Partial Differential
Equations (G. D. Smith) . . . . . . . . 396--397
S. S. Yau Book Review: \booktitleLinear Sequential
Circuits Analysis, Synthesis, and
Applications (Arthur Gill) . . . . . . . 397--399
Anonymous Other Books Received . . . . . . . . . . 399--402
Anonymous Chronicle . . . . . . . . . . . . . . . 403--405
T. K. Boehme The Convolution Integral . . . . . . . . 407--416
B. A. Fusaro The Cauchy--Kowalewski Theorem and a
Singular Initial Value Problem . . . . . 417--421
Beno\^\it B. Mandelbrot and
John W. Van Ness Fractional Brownian Motions, Fractional
Noises and Applications . . . . . . . . 422--437
A. S. Householder Erratum: Bigradients and the Problem of
Routh and Hurwitz . . . . . . . . . . . 438--438
O. L. Mangasarian Characterizations of Real Matrices of
Monotone Kind . . . . . . . . . . . . . 439--441
John R. Isbell On Playing $ M_3 $ . . . . . . . . . . . 442--443
C. B. Dunham Existence and Continuity of the
Chebyshev Operator . . . . . . . . . . . 444--446
C. B. Millham On the Structure of Equilibrium Points
in Bimatrix Games . . . . . . . . . . . 447--448
I. Fenyö Remark on Certain Convolution Transforms 449--450
Melda Hayes A Combinatorial Problem . . . . . . . . 451--451
B. F. Logan and
C. L. Mallows and
L. A. Shepp A Definite Integral . . . . . . . . . . 451--451
Jerry L. Fields and
Yudell L. Luke A Hypergeometric Series . . . . . . . . 452--452
Allen Klinger and
Thomas A. Brown Monotonicity of Two Functions . . . . . 452--452
K. W. Schmidt Binary Matrices . . . . . . . . . . . . 452--452
D. J. Newman An Integral Inequality . . . . . . . . . 453--454
David Gootkind Book Review: \booktitleAn Integral
Equation (C. J. Bouwkamp) . . . . . . . 454--455
D. K. Guha Book Review: \booktitleA Generating
Function (P. I. Richards) . . . . . . . 455--456
Anthony J. Strecok Book Review: \booktitleGauss--Fourier
Quadrature (W. Squire) . . . . . . . . . 456--457
James S. Petty Book Review: \booktitleA Quadruple
Integral (L. Carlitz) . . . . . . . . . 457--458
A. Ionescu Tulcea Book Review: \booktitleErgodic Theory
and Information (Patrick Billingsley) 459--459
J. L. Brenner Book Review: \booktitleStability
Theorems for Linear Motions. With an
Introduction to Liapunov's Direct Method
(Siegfried H. Lehnigk) . . . . . . . . . 459--460
R. E. Mortensen Book Review: \booktitleStochastic
Stability and Control (Harold J.
Kushner) . . . . . . . . . . . . . . . . 460--462
Walter J. Culver Book Review: \booktitleControl Systems
Functions and Programming Approaches ---
Volume A: Theory (Dimitris N. Chorafas) 462--464
Anonymous Other Books Received . . . . . . . . . . 464--466
Anonymous SIAM 1968 National Meeting . . . . . . . 467--490
Anonymous New Members . . . . . . . . . . . . . . 490--499
Anonymous Erratum . . . . . . . . . . . . . . . . 500--500
Anonymous Personal Notices . . . . . . . . . . . . 500--500
L. W. Jackson A Comparison of Ellipsoidal and Interval
Arithmetic Error Bounds, Numerical
Solutions of Nonlinear Problems (Notice) ??
P. A. Larkin The Possible Shapes of Things to Come 1--6
Peter D. Lax Nonlinear Partial Differential Equations
and Computing . . . . . . . . . . . . . 7--19
John S. Letcher, Jr. On Boundary Layers in the Theory of Heat
Conduction in Solids . . . . . . . . . . 20--29
John Maybe and
James Quirk Qualitative Problems in Matrix Theory 30--51
Daniel H. Wagner Nonlinear Functional Versions of the
Neyman--Pearson Lemma . . . . . . . . . 52--65
Richard Bellman On ``Colonel Blotto'' and Analogous
Games . . . . . . . . . . . . . . . . . 66--68
Thomas J. Lardner Relations Between ${}_0 F_3 $ and Bessel
Functions . . . . . . . . . . . . . . . 69--72
John M. Hammersley Sequences of Absolute Differences . . . 73--74
R. Chandrasekaran A Probability Inequality . . . . . . . . 74--74
W. A. Luxemburg Limit of an Integral . . . . . . . . . . 74--74
J. Prasad A Determinant . . . . . . . . . . . . . 74--74
H. Holloway and
M. S. Klamkin A Quartic . . . . . . . . . . . . . . . 74--75
Michael Goldberg Book Review: \booktitleMoving Furniture
Through a Hallway (Leo Moser) . . . . . 75--78
Michael Goldberg and
R. K. Guy and
R. K. Guy Book Review: \booktitleStability oF
Polyhedra (J. H. Conway and R. K. Guy) 78--82
Richard Askey and
James Fitch Book Review: \booktitleA Trigonometric
Inequality (J. N. Lyness and C. B.
Moler) . . . . . . . . . . . . . . . . . 82--86
J. Ernest Wilkins, Jr. Book Review: \booktitleAn Extremal
Problem (J. Neuringer and D. J. Newman) 86--88
M. Donald MacLaren Book Review: \booktitleThe Art of
Computer Programming --- Volume 1:
Fundamental Algorithms (Donald E. Knuth) 89--91
Garrett Birkhoff Book Review: \booktitleThe Theory of
Splines and Their Applications (J. H.
Ahlberg, E. N. Nilson and J. L. Walsh) 91--92
D. G. Aronson Book Review: \booktitleThe Theory of
Difference Schemes. An Introduction (S.
K. Godunov and V. S. Ryabenki) . . . . . 92--93
R. Datko Book Review: \booktitleFoundations of
Optimal Control Theory (E. Bruce Lee and
Lawrence Markus) . . . . . . . . . . . . 93--95
H. Kesten Book Review: \booktitleAn Introduction
to Probability Theory and Its
Applications, Volume I, (William Feller) 96--96
George H. Weiss Book Review: \booktitleProbabilistic
Methods in Applied Mathematics, Volume 1
(A. T. Bharucha-Reid, ed.) . . . . . . . 96--98
Harry Pollard Book Review: \booktitleAnalytical and
Numerical Methods of Celestial Mechanics
(G. A. Chebotarev) . . . . . . . . . . . 98--98
S. S. Yau Book Review: \booktitleComputation:
Finite and Infinite Machines (Marvin L.
Minsky) . . . . . . . . . . . . . . . . 99--100
R. H. Moore Book Review: \booktitleAnalysis of
Numerical Methods (Eugene Isaacson and
Herbert Bishop Keller) . . . . . . . . . 100--101
Albert A. Mullin Book Review: \booktitleAlgebraic
Structure Theory of Sequential Machines
(J. Hartmanis and R. E. Stearns) . . . . 101--103
Ivan Flores Book Review: \booktitleResidue
Arithmetic and Its Application to
Computer Technology (Nicholas S. Szabo
and Richard I. Tanaka) . . . . . . . . . 103--104
Anonymous Other Books Received . . . . . . . . . . 104--106
Anonymous SIAM 1968 Fall Meeting . . . . . . . . . 107--120
Anonymous New Members . . . . . . . . . . . . . . 120--124
Anonymous Pesonal Notices . . . . . . . . . . . . 125--125
C. C. Lin Dynamics of Self-Gravitating Systems:
Structure of Galaxies . . . . . . . . . 127--151
Vidar Thomée Stability Theory for Partial Difference
Operators . . . . . . . . . . . . . . . 152--195
R. J. Duffin Algorithms for Classical Stability
Problems . . . . . . . . . . . . . . . . 196--213
D. Bushaw Stabilities of Lyapunov and Poisson
Types . . . . . . . . . . . . . . . . . 214--225
Philip Wolfe Convergence Conditions for Ascent
Methods . . . . . . . . . . . . . . . . 226--235
Aaron Strauss and
James A. Yorke On the Fundamental Theory of
Differential Equations . . . . . . . . . 236--246
Adi Ben-Israel A Note on Partitioned Matrices and
Equations . . . . . . . . . . . . . . . 247--250
Charles E. Antle and
Lee J. Bain A Property of Maximum Likelihood
Estimators of Location and Scale
Parameters . . . . . . . . . . . . . . . 251--253
H. I. Freedman An Explicit Estimate on the Norm of the
Inverse of a Matrix . . . . . . . . . . 254--256
K. W. Schmidt Irreducible Binary Matrices . . . . . . 257--260
Robert F. Mathis Completion of a Symmetric Unitary Matrix 261--263
L. Raymon Approximation of Continuous Functions on
Curves . . . . . . . . . . . . . . . . . 264--267
N. S. Urquhart The Nature of the Lack of Uniqueness of
Generalized Inverse Matrices . . . . . . 268--271
R. P. Tewarson On Some Representations of Generalized
Inverses . . . . . . . . . . . . . . . . 272--276
Thomas Rogge A Coupled Thermoelastic Problem . . . . 277--282
Ronald M. Mathsen A Note on Solutions of Third Order
Ordinary Differential Equations . . . . 283--284
B. D. Sivazlian The Generalized Dirichlet's Multiple
Integral . . . . . . . . . . . . . . . . 285--288
Ronald B. Guenther Book Review: \booktitleBoundary Value
Problems of Mathematical Physics, Volume
2 (Ivar Stakgold) . . . . . . . . . . . 289--289
Thomas G. Kurtz Book Review: \booktitleProblems in
Probability Theory, Mathematical
Statistics and Theory of Random
Functions (A. A. Sveshnikov, ed.) . . . 290--290
R. C. Buck Book Review: \booktitleFunctions of a
Complex Variable, Constructive Theory
(V. I. Smirnov and N. S. Lebedev) . . . 290--291
Marvin Shinbrot Book Review: \booktitleMathematical
Methods (Jacob Korevaar) . . . . . . . . 291--292
H. E. Reinhardt Book Review: \booktitleProbabilistic
Approaches to Design (Edward B. Haugen) 292--294
Seymour V. Partek Book Review: \booktitleA Course in
Numerical Analysis (H. Melvin
Lieberstein) . . . . . . . . . . . . . . 294--295
David Siegmund Book Review: \booktitleAn Introduction
to Probability Theory and Its
Applications, Volume 2 (William Feller) 295--297
Anonymous Other Books Received . . . . . . . . . . 297--300
Anonymous Chronicle . . . . . . . . . . . . . . . 301--306
L. B. Rall Solution of Linear Integral Equations by
the Use of Invariant Functions . . . . . 307--316
A. D. Wyner On Cading and Information Theory . . . . 317--346
M. L. Balinski and
A. W. Tucker Duality Theory of Linear Programs: a
Constructive Approach with Applications 347--377
G. N. de Oliveira On a Certain System of Matrix Equations 378--381
Carl D. Meyer, Jr. On Ranks of Pseudoinverses . . . . . . . 382--385
L. B. Rall On the Uniqueness of Solutions of
Quadratic Equations . . . . . . . . . . 386--388
J. W. Heidel A Short Proof of Atkinson's Oscillation
Theorem . . . . . . . . . . . . . . . . 389--390
T. S. Chow A Class of Hessenberg Matrices with
Known Eigenvalues and Inverses . . . . . 391--395
Michael Goldberg Three Volume Problems . . . . . . . . . 396--397
Richard Askey A Positive Integral . . . . . . . . . . 398--398
D. J. Newman An Integral Inequality . . . . . . . . . 398--398
K. W. Schmidt Bounds for Maximal Two Element
Determinants . . . . . . . . . . . . . . 398--398
William E. Warren Two Singular Integrals . . . . . . . . . 398--398
Roger E. Miles Book Review: \booktitleProbability
Distribution of a Network of Triangles
(Mary Beth Stearns) . . . . . . . . . . 399--402
F. Göbel and
L. Carlitz Book Review: \booktitleA Network
Inequality (J. C. Turner and V. Conway) 402--406
George S. Kimeldorf and
Harry Lass and
Peter Gottlieb Book Review: \booktitleA Sequence of
Symmetric Bernoulli Trials (Y. P.
Sabharwal) . . . . . . . . . . . . . . . 406--409
William S. Cleveland Book Review: \booktitleA Family of
Summation Formulas (Grace Wahba) . . . . 409--410
C. L. Mallows Extrema of Expectations of Uniform
Order-Statistics . . . . . . . . . . . . 410--411
Gordon E. Latta Book Review: \booktitlePerturbation
Methods in Applied Mathematics (Julian
D. Cole) . . . . . . . . . . . . . . . . 412--412
John J. Sopka Book Review: \booktitleFunctional
Analysis in Normed Spaces (L. V.
Kantorovich and G. P. Akilov) . . . . . 412--413
Mark Pinsky Book Review: \booktitleConvergence of
Probability Measures (Patrick
Billingsley) . . . . . . . . . . . . . . 414--415
J. R. Shoenfield Book Review: \booktitleTheory of
Recursive Functions and Effective
Computability (Hartley Rogers, Jr.) . . 415--416
A. T. Bharucha-Reid Book Review: \booktitleMarkov Chains
with Stationary Transition Probabilities
(Kai Lai Chung) . . . . . . . . . . . . 416--416
Henry Hermes Book Review: \booktitleOptimal Control
Theory (R. Pallu de la Barri\`ers) . . . 417--417
Anonymous Other Books Received . . . . . . . . . . 417--420
Anonymous New Members . . . . . . . . . . . . . . 421--427
Anonymous Deaths . . . . . . . . . . . . . . . . . 427--427
Garrett Birkhoff Mathematics and Psychology . . . . . . . 429--469
Wendell H. Fleming Optimal Continuous-Parameter Stochastic
Control . . . . . . . . . . . . . . . . 470--509
J. G. Belinfante and
B. Kolman An Introduction to Lie Groups and Lie
Algebras, with Applications. III:
Computational Methods and Applications
of Representation Theory . . . . . . . . 510--543
K. S. Miller Complex Gaussian Processes . . . . . . . 544--567
Milton Rosenberg Range Decomposition and Generalized
Inverse of Nonnegative Hermitian
Matrices . . . . . . . . . . . . . . . . 568--571
Thomas E. Morton Bounds on the Solution of the Lagged
Optimal Inventory Equation with No
Demand Backlogging and Proportional
Costs . . . . . . . . . . . . . . . . . 572--596
Gerald L. Thompson and
Roman L. Weil, Jr. Further Relations between Game Theory
and Eigensystems . . . . . . . . . . . . 597--602
B. N. A. Lamborn An Expression for the Dirac Delta
Function. I . . . . . . . . . . . . . . 603--603
Thomas M. Liggett and
Steven A. Lippman Stochastic Games with Perfect
Information and Time Average Payoff . . 604--607
Thomas R. Rogge A Method of Solving Wave Propagation
Problems in Bounded Anisotropic Media 608--611
Carl D. Meyer, Jr. On the Construction of Solutions to the
Matrix Equations $ A X = A $ and $ Y A =
A $ . . . . . . . . . . . . . . . . . . 612--615
I. H. Mufti and
C. K. Chow and
F. T. Stock Solution of Ill-Conditioned linear
Two-Point Boundary Value Problems by the
Riccati Transformation . . . . . . . . . 616--619
Edgar Cohen, Jr. A Polynomial with Proscribed Properties 620--620
A. W. Gillies An Elliptic Integral . . . . . . . . . . 620--620
J. A. Lewis Ohmic Heating . . . . . . . . . . . . . 620--620
L. A. Gardner, Jr. Sum of Inverse Powers of Cosines . . . . 621--621
George S. Innis Existence of Binary Sequences with
Prescribed Properties . . . . . . . . . 621--622
Robert Singleton Book Review: \booktitleA Continued
Fraction Representation of Eigenvalues
(Thomas E. Phipps, Jr.) . . . . . . . . 622--624
L. Carlitz An Infinite Set of Simultaneous
Equations . . . . . . . . . . . . . . . 624--625
I. Farkas Book Review: \booktitleNumerical
Evaluation of Some Integrals (Murlan S.
Corrington) . . . . . . . . . . . . . . 625--628
G. L. Foschini and
Carlene Arthur and
Cecil Rousseau and
S. H. Eisman Book Review: \booktitleRank and
Eigenvalues of a Matrix (Sylvan Katz and
M. S. Klamkin) . . . . . . . . . . . . . 628--630
Harry Denman The Inverse of a Matrix . . . . . . . . 630--632
B. A. Fusaro A Volterra Integral Equation . . . . . . 632--632
S. Kullback Book Review: \booktitleInformation
Theory and Reliable Communication (R. G.
Gallager) . . . . . . . . . . . . . . . 633--634
Lee J. White Book Review: \booktitleIntroduction to
Combinatorial Mathematics (C. L. Liu) 634--635
Lester Rubenfeld Book Review: \booktitleGeneralized
Functions and Partial Differential
Equations (Georgi E. Shilov) . . . . . . 635--638
Anonymous Other Books Received . . . . . . . . . . 638--640
Anonymous SIAM 1969 National Meeting . . . . . . . 641--669
Anonymous New Members . . . . . . . . . . . . . . 670--672
John H. Halton A Retrospective and Prospective Survey
of the Monte Carlo Method . . . . . . . 1--63
Allan M. Krall The Root Locus Method: a Survey . . . . 64--72
A. S. Householder Bezoutiants, Elimination and
Localization . . . . . . . . . . . . . . 73--78
M. J. D. Powell A Survey of Numerical Methods for
Unconstrained Optimization . . . . . . . 79--97
Allen D. Ziebur On Determining the Structure of $A$ by
Analyzing $ e^{At} $ . . . . . . . . . . 98--102
Harry Hochstadt On Perturbations of Complete Sets . . . 103--106
R. M. Pringle and
A. A. Rayner Expressions for Generalized Inverses of
a Bordered Matrix with Application to
the Theory of Constrained Linear Models 107--115
R. P. Boas, Jr. Generalized Taylor Series, Quadrature
Formulas, and a Formula by Kronecker . . 116--119
Adi Ben-Israel On Cone-Monotonicity of Complex Matrices 120--123
S. K. Chatterjea On the Unified Presentation of Classical
Orthogonal Polynomials . . . . . . . . . 124--126
James W. Matthews Interpolation with Derivatives . . . . . 127--128
Robert R. Rawlings, Jr. Concerning the Solution of a Nonlinear
Operator Equation . . . . . . . . . . . 129--130
J. S. Byrnes and
D. A. Swick Instant Walsh Functions . . . . . . . . 131--131
Sanjo Zlobec An Explicit Form of the Moore--Penrose
Inverse of an Arbitrary Complex Matrix 132--134
A. C. Williams Complementarity Theorems for Linear
Programming . . . . . . . . . . . . . . 135--137
Edward Minieka The $m$-Center Problem . . . . . . . . . 138--139
J. C. Hardin and
A. L. Sweet Moments of the Time to Absorption in the
Random Walk between a Reflecting and an
Absorbing Barrier . . . . . . . . . . . 140--142
Peter H. Astor A Set of Linear Equations . . . . . . . 143--143
Leslie K. Arnold A Problem in Acoustic Detection . . . . 143--144
M. L. Glasser An Infinite Integral . . . . . . . . . . 144--144
Stan Kaplan Some Algebraic Identities . . . . . . . 144--145
B. J. Cerimele Conformal Mapping of a Cross Slit Strip 145--145
Peter Treuenfels Upper Bound for the Abscissa of the $
\chi^2 $-Distribution . . . . . . . . . 145--146
Norman D. Malmuth Summation of a Series . . . . . . . . . 146--146
B. D. Sivazlian and
Kasum Soni Book Review: \booktitleTwo Double
Integrals (B. D. Sivazlian) . . . . . . 146--150
Anthony J. Strecok Book Review: \booktitleA Set of
Inequalities (James D. Riley) . . . . . 150--151
F. Göbel Book Review: \booktitleA Combinatorial
Problem (Melda Hayes) . . . . . . . . . 151--153
William B. Jordan and
M. L. Glasser Book Review: \booktitleA Definite
Integral (B. F. Logan, C. L. Mallows and
L. A. Shepp) . . . . . . . . . . . . . . 153--154
Calvin H. Wilcox Book Review: \booktitlePerturbation
Theory for Linear Operators (Tosio Kato) 155--157
Wilfred Kaplan Book Review: \booktitleTopics in
Mathematical System Theory (Rudolf E.
Kalman, Peter L. Falb and Michael A.
Arbib) . . . . . . . . . . . . . . . . . 157--158
Meyer Dwass Book Review: \booktitleCombinatorial
Methods in the Theory of Stochastic
Processes (Lajos Takács) . . . . . . . . 158--159
Masanao Aoki Book Review: \booktitleStatistical
Decision Theory in Adaptive Control
Systems (Yoshikazu Sawaragi, Yoshifumi
Sunahara and Takayoshi Nakamizo) . . . . 159--160
L. B. Rall Book Review: \booktitleNonlinear Two
Point Boundary Value Problems (Paul B.
Bailey, Lawrence F. Shampine and Paul E.
Waltman) . . . . . . . . . . . . . . . . 160--161
R. E. Kalman Book Review: \booktitleAbsolute
Stability of Regulator Systems (M. A.
Aizerman and F. R. Gantmacher) . . . . . 161--162
T. Y. Chow Book Review: \booktitleFunctions of a
Complex Variable: Theory and Technique
(George F. Carrier, Max Krook and Carl
E. Pearson) . . . . . . . . . . . . . . 162--163
William A. Harris, Jr. Book Review: \booktitleAsymptotic
Methods in the Theory of Linear
Differential Equations (S. F.
Feshchenko, N. I. Shkil' and L. D.
Nikolenko) . . . . . . . . . . . . . . . 163--164
Jagdish Chandra Book Review: \booktitleDifferential and
Integral Inequalities: Theory and
Applications, Volume 1 (V.
Lakshmikantham and S. Leela) . . . . . . 164--165
Saul I. Gass Book Review:
\booktitleSensitivitätsanalysen und
Parametrische Programmierung (Werner
Dinklebach) . . . . . . . . . . . . . . 165--166
Anonymous Other Books Received . . . . . . . . . . 166--169
Anonymous Chronicle . . . . . . . . . . . . . . . 170--174
G. F. Carrier Singular Perturbation Theory and
Geophysics . . . . . . . . . . . . . . . 175--193
Warren S. Loud Some Examples of Generalized Green's
Functions and Generalized Green's
Matrices . . . . . . . . . . . . . . . . 194--210
R. J. Duffin Linearizing Geometric Programs . . . . . 211--227
F. W. J. Olver Why Steepest Descents? . . . . . . . . . 228--247
Fred W. Dorr The Direct Solution of the Discrete
Poisson Equation on a Rectangle . . . . 248--263
T. Goka An Operator on Binary Sequences . . . . 264--266
Mary Katherine Bennett A Finite Orthomodular Lattice Which Does
Not Admit a Full Set of States . . . . . 267--271
Gilbert Walter Fourier Series and Analytic
Representation of Distributions . . . . 272--276
R. G. Stanton and
D. D. Cowan Note on a ``Square'' Functional Equation 277--279
J. F. Schipper Some Nuances in the Matrix Analysis of
Dynamical Systems with Constraints
Imposed . . . . . . . . . . . . . . . . 280--283
J. M. Holtzman Explicit $ \varepsilon $ and $ \delta $
for the Implicit Function Theorem . . . 284--286
G. J. Simmons and
D. Rawlinson Palindromic Biquadrates . . . . . . . . 287--287
Lewis R. Wilson and
A. Yildiz A Laplace Transform . . . . . . . . . . 287--287
B. C. Carlson An Inequality of Mixed Arithmetic and
Geometric Means . . . . . . . . . . . . 287--288
L. Carlitz Two Laurent Expansions . . . . . . . . . 288--288
D. J. Newman and
W. Weissblum Limit of a Probability Density Function 288--288
A. M. Cohen and
F. J. Wilson A Definite Integral . . . . . . . . . . 288--289
M. S. Klamkin Conductors of Unit Resistance . . . . . 289--290
F. W. Steutel Book Review: \booktitleA Set of
Inequalities (James D. Riley) . . . . . 290--292
D. R. Breach Book Review: \booktitleA Combinatorial
Problem (Melda Hayes) . . . . . . . . . 292--297
L. Carlitz and
R. Scoville Book Review: \booktitleSequences of
Absolute Differences (John M.
Hammersley) . . . . . . . . . . . . . . 297--300
J. D. Escary Book Review: \booktitleA Probability
Inequality (R. Chandrasekaran) . . . . . 300--302
A. S. Householder Book Review: \booktitleA Determinant (J.
Prasad) . . . . . . . . . . . . . . . . 302--304
Mark Pinsky Book Review: \booktitleMarkov Processes,
Theorems and Problems (Evgenii B. Dynkin
and Aleksandr A. Yushkevich) . . . . . . 305--306
M. Donald MacLaren Book Review: \booktitleThe Art of
Computer Programming. Volume 2:
Seminumerical Algorithms (Donald E.
Knuth) . . . . . . . . . . . . . . . . . 306--308
Peter L. Falb Book Review: \booktitleContrôle Optimal
de Syst\`emes Gouvernés des Équations aux
Dérivées Partielles (J. L. Lions) . . . . 308--309
Mario Juncosa Book Review: \booktitleThe Monte Carlo
Method (Yu. A. Shreider) . . . . . . . . 309--310
Mario Juncosa Book Review: \booktitleRandom Number
Generators (Birger Jansson) . . . . . . 310--311
Richard Holmes Book Review: \booktitleAn Introduction
to the Approximation of Functions
(Theodore J. Rivlin) . . . . . . . . . . 311--312
Werner C. Rheinboldt Book Review: \booktitleComputational
Solution of Nonlinear Operator Equations
(L. B. Rall) . . . . . . . . . . . . . . 312--313
Jörg Hertling Book Review: \booktitleNumerical Methods
for Two-Point Boundary Value Problems
(Herbert B. Keller) . . . . . . . . . . 313--315
James E. Falk Book Review: \booktitleOptimization by
Vector Space Methods (David G.
Luenberger) . . . . . . . . . . . . . . 315--316
Albert A. Grau Book Review: \booktitleFormal Languages
and Their Relation to Automata (John E.
Hopcroft and Jeffrey D. Ullman) . . . . 316--317
D. Bushaw Book Review: \booktitleDiscontinuous and
Optimal Control (Irmgard Flügge--Lotz) 317--318
Anonymous Other Books Received . . . . . . . . . . 318--321
Anonymous Chronicle . . . . . . . . . . . . . . . 322--324
Donald Ludwig Uniform Asymptotic Expansions for Wave
Propagation and Diffraction Problems . . 325--331
Bille Chandler Carlson Hidden Symmetries of Special Functions 332--345
R. G. Newton Inverse Problems in Physics . . . . . . 346--356
R. Saeks Causality in Hilbert Space . . . . . . . 357--383
J. W. Moon and
N. J. Pullman On Generalized Tournament Matrices . . . 384--399
W. J. Cody A Survey of Practical Rational and
Polynomial Approximation of Functions 400--423
Leopold B. Felsen Rays, Dispersion Surfaces and Their Uses
for Radiation and Diffraction Problems 424--448
L. Fox and
Linda Hayes On the Definite Integration of Singular
Integrands . . . . . . . . . . . . . . . 449--457
G. W. Stewart On the Convergence of Sebastião E.
Silva's Method for Finding a Zero of a
Polynomial . . . . . . . . . . . . . . . 458--460
R. K. Juberg Uniqueness of Solutions for Certain
Boundary Value Problems . . . . . . . . 461--462
V. N. Joshi A Note on the Solution of Rectangular
Linear Systems by Iteration . . . . . . 463--466
Robert E. Shafer A Generalization of Spherical Harmonics 467--468
S. K. Dhir and
J. S. Brock A Definite Integral Containing Three
Parameters . . . . . . . . . . . . . . . 468--468
Richard Kellner A Positive Functional . . . . . . . . . 468--468
M. J. Lempel A Stock Market Investment Inequality . . 469--469
L. E. Ward, Sr. Motion of a Sliding Bead . . . . . . . . 469--469
Paul J. Schweitzer A Minimization for Markov Chains . . . . 469--470
Nelson M. Blachman Book Review: \booktitleLimit of an
Integral (W. A. J. Luxemburg) . . . . . 470--471
H. Holloway and
M. S. Klamkin A Quartic . . . . . . . . . . . . . . . 471--473
Preston C. Hammer Book Review: \booktitleThe Mathematical
Sciences: a Collection of Essays
(COSRIMS) . . . . . . . . . . . . . . . 474--476
Anil Nerode Book Review: \booktitleMathematical
Foundations of Network Analysis (Paul
Slepian) . . . . . . . . . . . . . . . . 476--476
Erwin Bareiss Book Review: \booktitleNonlinear
Ordinary Differential Equations in
Transport Processes (William F. Ames) 476--477
Anonymous Other Books Received . . . . . . . . . . 477--478
Anonymous SIAM Referees July--December 1969 . . . 479--480
Anonymous Deaths . . . . . . . . . . . . . . . . . 480--480
Seymour Haber Numerical Evaluation of Multiple
Integrals . . . . . . . . . . . . . . . 481--526
R. P. Tewarson Computations with Sparse Matrices . . . 527--543
Peter Lancaster Explicit Solutions of Linear Matrix
Equations . . . . . . . . . . . . . . . 544--566
B. N. A. Lamborn An Expression for the Dirac Delta
Function. II . . . . . . . . . . . . . . 567--569
M. L. Balinski On Perfect Matchings . . . . . . . . . . 570--572
A. W. Gillies On the Classification of Matrix
Generalized Inverses . . . . . . . . . . 573--576
Bertram Mond On the Monotonicity of Complex Matrices 577--579
D. J. Newman A Unique Solution . . . . . . . . . . . 580--580
V. K. Rohatgi A Combinatorial Identity . . . . . . . . 580--580
J. Ernest Wilkins, Jr. A Heat Transfer Problem . . . . . . . . 580--581
M. S. Klamkin On the Diagonals of a Polygon . . . . . 581--581
James G. Simmonds A Legendre Function Inequality . . . . . 581--581
James D. Sebastian Book Review: \booktitleMoving Furniture
Through a Hallway (Leo Moser) . . . . . 582--586
Jerry L. Fields and
Yudell L. Luke A Hypergeometric Series . . . . . . . . 586--588
L. Carlitz Book Review: \booktitleA Positive
Integral (Richard Askey) . . . . . . . . 588--590
David W. Boyd Book Review: \booktitleAn Integral
Inequality (D. J. Newman) . . . . . . . 590--591
J. K. M. Jansen Book Review: \booktitleAn Elliptical
Integral (A. W. Gillies) . . . . . . . . 591--592
O. L. Mangasarian Book Review: \booktitleNonlinear
Programming: Sequential Unconstrained
Minimization Techniques (Anthony V.
Fiacco and Garth P. McCormick) . . . . . 593--594
Adi Ben-Israel Book Review: \booktitleMonotone
Processes of Convex and Concave Type (R.
Tyrell Rockafellar) . . . . . . . . . . 594--594
Adi Ben-Israel Book Review: \booktitleBoolean Methods
in Operations Research and Related Areas
(Peter L. Hammer and Sergiu Rudeanu) . . 594--596
Anonymous Other Books Received . . . . . . . . . . 596--598
Anonymous New Members . . . . . . . . . . . . . . 599--602
Anonymous Deaths . . . . . . . . . . . . . . . . . 602--602
A. M. Geoffrion Duality in Nonlinear Programming: a
Simplified Applications-Oriented
Development . . . . . . . . . . . . . . 1--37
A. S. Householder and
G. W. Stewart The Numerical Factorization of a
Polynomial . . . . . . . . . . . . . . . 38--46
James P. Fink Complete Continuity of the Inverse of
the Laplacian and Green's Function . . . 47--54
A. Halanay and
James A. Yorke Some New Results and Problems in the
Theory of Differential-Delay Equations 55--80
B. W. Conolly On Randomized Random Walks . . . . . . . 81--99
John A. Nohel Book Review: \booktitleNonlocal Problems
of the Theory of Oscillations (V. A.
Pliss) . . . . . . . . . . . . . . . . . 100--102
H. E. Reinhardt Book Review: \booktitleThe Chi-Squared
Distribution (H. O. Lancaster) . . . . . 102--103
Marvin Shinbrot Book Review: \booktitleThe Mathematical
Theory of Viscous Incompressible Flow
(O. A. Ladyzhenskaya) . . . . . . . . . 103--106
Julian Keilson Book Review: \booktitleThe Single Server
Queue (J. W. Cohen) . . . . . . . . . . 106--107
Henry Hermes Book Review: \booktitleThe Qualitative
Theory of Ordinary Differential
Equations (Fred Brauer and John A.
Nohel) . . . . . . . . . . . . . . . . . 107--108
Saul Rosen Book Review: \booktitleProgramming
Languages: History and Fundamentals
(Jean E. Sammet) . . . . . . . . . . . . 108--109
Salah M. Yousif Book Review: \booktitleAlgebraic Theory
of Automata (Abraham Ginsburg) . . . . . 109--110
Anonymous Other Books Received . . . . . . . . . . 111--112
Robert E. Shafer A Generalization of Spherical Harmonics 113--114
Paul J. Schweitzer A Minimization for Markov Chains . . . . 114--114
L. A. Shepp A Functional Equation . . . . . . . . . 114--114
Altson S. Householder Brigadients . . . . . . . . . . . . . . 114--115
D. J. Newman Triangle on a Checkerboard . . . . . . . 115--115
Robert E. Shafer Fourier Series . . . . . . . . . . . . . 115--115
Robert Spira Noncomplete Residue System . . . . . . . 115--115
Anthony J. Strecok An Antiderivative . . . . . . . . . . . 115--115
Michael E. Fisher Book Review: \booktitleSum of Inverse
Powers of Cosines (L. A. Gardner, Jr.) 116--119
K. W. Schmidt Binary Matrices . . . . . . . . . . . . 119--121
J. J. Mahoney and
L. Rubenfeld Book Review: \booktitleTwo Singular
Integrals (William E. Warren) . . . . . 121--123
J. A. Lewis Ohmic Heating . . . . . . . . . . . . . 123--125
S. Aalto Book Review: \booktitleA Polynomial with
Prescribed Properties (Edgar Cohen, Jr.) 125--126
J. W. Rainey and
L. Carlitz and
R. C. Cavanagh Book Review: \booktitleA Set of Linear
Equations (Peter H. Astor) . . . . . . . 126--130
Donald R. Childs Book Review: \booktitleAn Infinite
Integral (M. L. Glasser) . . . . . . . . 130--131
Alston S. Householder and
Harry Appelgate Book Review: \booktitleSome Algebraic
Identities (Stan Kaplan) . . . . . . . . 132--136
Arthur H. Jaffey and
Anthony J. Strecok Book Review: \booktitleUpper Bound for
the Abscissa of the $ \chi^2
$-Distribution (Peter Treuenfels) . . . 136--137
Anonymous SIAM 1970 National Meeting . . . . . . . 138--161
Anonymous SIAM Referees January--June 1970 . . . . 161--162
Anonymous New Members . . . . . . . . . . . . . . 162--167
William C. Hoffman Visual Illusions of Angle as an
Application of Lie Transformation Groups 169--184
Philip Wolfe Convergence Conditions for Ascent
Methods. II: Some Corrections . . . . . 185--188
Edward L. Reiss On Multivariable Asymptotic Expansions 189--196
Beresford N. Parlett Analysis of Algorithms for Reflections
in Bisectors . . . . . . . . . . . . . . 197--208
R. D. Russell and
L. F. Shampine Existence of Eigenvalues of Integral
Equations . . . . . . . . . . . . . . . 209--219
Graeme Fairweather On the Eigenvalues and Eigenvectors of a
Class of Hessenberg Matrices . . . . . . 220--221
E. T. Copson Hadamard's Elementary Solution and
Frobenius's Method . . . . . . . . . . . 222--230
W. T. Reid Book Review: \booktitleLectures on the
Calculus of Variations and Optimal
Control Theory (L. C. Young) . . . . . . 231--233
Victor Klee Book Review: \booktitleConvex Analysis
(R. Tyrrell Rockafellar) . . . . . . . . 233--238
Preston C. Hammer Book Review: \booktitleThe Nature and
Growth of Modern Mathematics (Edna E.
Kramer) . . . . . . . . . . . . . . . . 238--240
Garth P. McCormick Book Review: \booktitleNonlinear
Programming (Olvi L. Mangasarian) . . . 240--241
Hans F. Bueckner Book Review: \booktitleCrack Problems in
the Classical Theory of Elasticity (I.
N. Sneddon and M. Lowengrub) . . . . . . 241--242
Anonymous Other Books Received . . . . . . . . . . 242--245
T. S. Chow and
N. A. Lindberger Factorization of a Determinant . . . . . 246--246
Royce Derby Special Subsets of a Finite Group . . . 246--246
J. Levy and
M. H. Pearl Fixed Probability Vectors of Some
Stochastic Matrices . . . . . . . . . . 246--247
Joel Brenner An Inequality . . . . . . . . . . . . . 247--247
S. H. Smith A Fourier Sine Transform . . . . . . . . 247--247
L. Carlitz A Positive Integral . . . . . . . . . . 248--248
H. B. Coonce Root of an Octic Equation . . . . . . . 248--248
M. S. Klamkin An Expected Value . . . . . . . . . . . 248--248
K. W. Schmidt Bounds for Maximal Two Element
Determinants . . . . . . . . . . . . . . 248--249
B. J. Cerimele Conformal Mapping of a Cross Slit Strip 250--250
Norman D. Malmuth Summation of a Series . . . . . . . . . 250--253
R. K. Meany and
S. A. Nelson and
B. C. Carlson Book Review: \booktitleAn Inequality of
Mixed Arithmetic and Geometric Means (B.
C. Carlson) . . . . . . . . . . . . . . 253--255
L. Carlitz Two Laurent Expansions . . . . . . . . . 255--256
Anonymous SIAM 1970 fall Meeting . . . . . . . . . 257--285
Anonymous New Members . . . . . . . . . . . . . . 285--288
Anonymous Deaths . . . . . . . . . . . . . . . . . 288--288
Ivar Stakgold Branching of Solutions of Nonlinear
Equations . . . . . . . . . . . . . . . 289--332
William T. Reid Integral Means and Mollifiers . . . . . 333--349
Carl Kallina and
A. C. Williams Linear Programming in Reflexive Spaces 350--376
Katta G. Murty Adjacency on Convex Polyhedra . . . . . 377--386
Robert E. Shafer A Generalization of Spherical Harmonics 387--388
M. S. Klamkin On the Diagonals of a Polygon . . . . . 388--388
V. K. Rohatgi A Combinatorial Identity . . . . . . . . 388--388
M. L. Glasser An Elliptic lntegral . . . . . . . . . . 389--389
B. F. Logan and
L. A. Shepp Supremum of an Integral . . . . . . . . 389--389
T. E. Phipps, Jr. A Double-Sum Identity . . . . . . . . . 389--389
K. W. Schmidt A Determinant Identity . . . . . . . . . 389--389
Thomas E. Phipps, Jr. A Continued Fraction Representation of
Eigenvalues . . . . . . . . . . . . . . 390--395
A. S. Householder Book Review: \booktitleA Determinant (J.
Prasad) . . . . . . . . . . . . . . . . 395--395
George Gasper Book Review: \booktitleA Positive
Integral (Richard Askey) . . . . . . . . 396--397
G. N. Watson and
Robert E. Shafer Book Review: \booktitleA Laplace
Transform (Lewis R. Wilson and A.
Yildiz) . . . . . . . . . . . . . . . . 397--399
Anonymous Book Review: \booktitleA Definite
Integral (A. M. Cohen and F. J. Wilson) 399--399
J. E. Jamison and
C. C. Rousseau and
J. W. Riese Book Review: \booktitleA Positive
Functional (Richard Kellner) . . . . . . 399--401
W. B. Jordan and
Henry E. Fettis Book Review: \booktitleA Definite
Integral Containing Three Parameters (S.
K. Dhir and J. S. Brook) . . . . . . . . 401--404
L. Carlitz Book Review: \booktitleA Stock Market
Investment Inequality (M. J. Lempel) . . 404--406
L. E. Ward, Sr. Motion of a Sliding Bead . . . . . . . . 407--408
Stephen Fisher Book Review: \booktitleIntroduction to
Complex Variables (Norman Levinson and
Raymond Redheffer) . . . . . . . . . . . 409--411
M. Schechter Book Review: \booktitleVorlesungen über
Partielle und Pfaffsche
Differentialgleichungen (Wolfgang Haack
and Wolfgang Wendland) . . . . . . . . . 411--412
I. I. Hirschman, Jr. Book Review: \booktitleFinite Sections
of Some Classical Inequalities (Herbert
S. Wilf) . . . . . . . . . . . . . . . . 412--413
T. E. Hull Book Review: \booktitleComputation and
Theory in Ordinary Differential
Equations (James W. Daniel and Ramon E.
Moore) . . . . . . . . . . . . . . . . . 413--414
Anonymous Other Books Received . . . . . . . . . . 414--417
Anonymous Section News . . . . . . . . . . . . . . 418--420
Anonymous SIAM Referees July--December 1970 . . . 421--423
Anonymous Deaths . . . . . . . . . . . . . . . . . 423--423
R. E. O'Malley Boundary Layer Methods for Nonlinear
Initial Value Problems . . . . . . . . . 425--434
D. C. Joyce Survey of Extrapolation Processes in
Numerical Analysis . . . . . . . . . . . 435--490
W. F. Lucas Some Recent Developments in $n$-Person
Game Theory . . . . . . . . . . . . . . 491--523
W. L. Miranker A Survey of Parallelism in Numerical
Analysis . . . . . . . . . . . . . . . . 524--547
J. H. Wilkinson Modern Error Analysis . . . . . . . . . 548--568
P. Barrucand An Asymptotic Expansion . . . . . . . . 569--569
D. E. Daykin Falling Dominoes . . . . . . . . . . . . 569--569
Michael L. Trombetta A Gambler's Ruin Problem . . . . . . . . 569--570
C. J. Bouwkamp A Double Integral . . . . . . . . . . . 570--570
S. Saran An Infinite Summation . . . . . . . . . 570--570
Michael Jones Balancing Chemical Equations . . . . . . 571--571
James G. Simmonds Angular Velocity and Moment Potential
for a Rigid Body . . . . . . . . . . . . 571--571
Robert E. Shafer Expansion of an Integral . . . . . . . . 571--572
M. S. Klamkin An Inequality . . . . . . . . . . . . . 572--572
Hedayat Yasaimaibodi An Infinite Integral . . . . . . . . . . 572--572
Oah Tajmah Khayyam Book Review: \booktitleLimit of a
Probability Density Function (D. J.
Newman) . . . . . . . . . . . . . . . . 572--573
A. A. Jagers Book Review: \booktitleA Minimization
for Markov Chains (Paul J. Schweitzer) 573--574
L. Carlitz Book Review: \booktitleA Unique Solution
(D. J. Newman) . . . . . . . . . . . . . 574--575
G. W. Veltkamp Book Review: \booktitleA Heat Transfer
Problem (J. Ernest Wilkins, Jr.) . . . . 575--577
James G. Simmonds A Legendre Function Inequality . . . . . 577--578
R. E. Mortensen Book Review: \booktitleOptimization of
Stochastic Systems (Masanao Aoki) . . . 579--581
James W. Daniel Book Review: \booktitleNumerical Methods
That Work (Forman S. Acton) . . . . . . 581--582
Frank Stenger Book Review: \booktitleIntegrals and
Sums (P. C. Chakravarti) . . . . . . . . 582--583
M. D. McIlroy Book Review: \booktitleA View of
Programming Languages (B. A. Galler and
A. J. Perlis) . . . . . . . . . . . . . 583--584
Richard R. Goldberg Book Review: \booktitleStudies in Hebrew
Astronomy and Mathematics (Solomon
Gandz) . . . . . . . . . . . . . . . . . 584--584
Wilfred Kaplan Book Review: \booktitleIntroduction to
Applied Mathematics (Joseph Genin and
John S. Maybes) . . . . . . . . . . . . 584--585
Bennett Fox Book Review: \booktitleMarkovian
Decision Processes (H. Mine and S.
Osaki) . . . . . . . . . . . . . . . . . 585--586
H. L. Frisch Book Review: \booktitleThe Statistical
Mechanics of Simple Liquids (Stuart A.
Rice and Peter Gray) . . . . . . . . . . 586--586
Anonymous Other Books Received . . . . . . . . . . 586--588
Anonymous New Members . . . . . . . . . . . . . . 589--595
Anonymous Deaths . . . . . . . . . . . . . . . . . 595--595
W. B. Gragg The Padé Table and Its Relation to
Certain Algorithms of Numerical Analysis 1--62
P. A. Lagerstrom and
R. G. Casten Basic Concepts Underlying Singular
Perturbation Techniques . . . . . . . . 63--120
Herbert W. Hethcote Geometric Existence Proofs for Nonlinear
Boundary Value Problems . . . . . . . . 121--128
A. Sharma Some Poised and Nonpoised Problems of
Interpolation . . . . . . . . . . . . . 129--151
W. T. Stallings and
T. L. Boullion Computation of Pseudoinverse Matrices
Using Residue Arithmetic . . . . . . . . 152--163
L. A. Santalo A Multidimensional Integral . . . . . . 164--164
J. L. Casti A Family of Fredholm Integral Equations 164--165
L. Carlitz A Set of Nonlinear Equations . . . . . . 165--165
H. E. Fettis A Recurrence Relation . . . . . . . . . 165--165
K. W. Schmidt A Conjectured Positive Definite Matrix 165--165
V. K. Rohatgi and
J. S. Frame and
L. Carlitz Book Review: \booktitleA Combinatorial
Identity (V. K. Rohatgi) . . . . . . . . 166--169
A. C. Hindmarsh and
L. A. Shepp Book Review: \booktitleA Functional
Equation (L. A. Shepp) . . . . . . . . . 169--170
T. N. E. Greville Book Review: \booktitleBigradients
(Alston S. Householder) . . . . . . . . 171--172
A. A. Jagers Book Review: \booktitleAn Antiderivative
(Anthony J. Strecok) . . . . . . . . . . 172--173
A. A. Jagers Book Review: \booktitleNoncomplete
Residue System (Robert Spira) . . . . . 173--174
Robert E. Shafer Fourier Series . . . . . . . . . . . . . 174--176
David Jowett Book Review: \booktitleStatistical
Design and Analysis of Experiments
(Peter W. M. John) . . . . . . . . . . . 177--178
T. A. Porsching Book Review: \booktitleLectures on the
Numerical Solution of Linear, Singular,
and Nonlinear Differential Equations (D.
Greenspan) . . . . . . . . . . . . . . . 179--180
Meyer Dwass Book Review: \booktitleMarkov Chains
(David Freedman) . . . . . . . . . . . . 180--181
Frank W. J. Olver Book Review: \booktitleThe Special
Functions and Their Approximations
(Vols. I & II Yudell L. Luke) . . . . . . 181--183
Harold J. Kushner Book Review: \booktitleIntroduction to
Stochastic Control Theory (Karl J.
Astrom) . . . . . . . . . . . . . . . . 183--183
R. A. Brualdi Book Review: \booktitleOn the
Foundations of Combinatorial Theory:
Combinatorial Geometries (Henry H. Crapo
and Gian Carlo Rota) . . . . . . . . . . 184--185
C. L. Dolph Book Review: \booktitleEquations of
Mathematical Physics (V. S. Vladimirov) 186--187
Charles L. Lawson Book Review: \booktitleThe Approximation
of Functions, Vol. II (John R. Rice) . . 187--188
Anonymous Other Books Received . . . . . . . . . . 188--191
Anonymous SIAM 1971 National Meeting . . . . . . . 192--216
Anonymous Section News . . . . . . . . . . . . . . 216--219
Anonymous SIAM Referees January--June 1971 . . . . 219--220
Anonymous New Members . . . . . . . . . . . . . . 220--223
Wiktor Eckhaus Boundary Layers in Linear Elliptic
Singular Perturbation Problems . . . . . 225--270
William B. Scholten and
Richard A. Gaggioli Differentiation of Tensor Fields . . . . 271--277
P. Cornille Computation of Hankel Transforms . . . . 278--285
D. S. Jones Asymptotic Behavior of Integrals . . . . 286--317
Harald Wimmer and
Allen D. Ziebur Solving the Matrix Equation $ \sum_{\rho
= 1}^r f_\rho (A) X g_\rho (B) = C $ . . 318--323
Maurice Hanan and
Jerome M. Kurtzberg A Review of the Placement and Quadratic
Assignment Problems . . . . . . . . . . 324--342
Juris Hartmanis Book Review: \booktitleLogic, Automata,
and Algorithms (Mark A. Aisermann,
Leonid A. Gusev, Lev I. Rozonoer, Irena
M. Smirnova and Aleksey A. Tal') . . . . 343--344
R. L. Graham Book Review: \booktitlePrinciples of
Combinatorics (C. Berg) . . . . . . . . 344--346
Gottfried E. Noether Book Review: \booktitleNonparametric
Statistical Inference (Jean Dickinson
Gibbons) . . . . . . . . . . . . . . . . 346--348
Kenneth R. Meyer Book Review: \booktitleOrdinary
Differential Equations (Jack K. Hale.
John Wiley) . . . . . . . . . . . . . . 348--350
D. H. Younger Book Review: \booktitleGraph Theory
(Frank Harary) . . . . . . . . . . . . . 350--351
M. R. Hestene Book Review: \booktitleMehrdimensionale
Variationsrechnung (R. Klotzler) . . . . 351--352
R. A. Willoughby Book Review: \booktitleNumerical
Solution of Ordinary Differential
Equations (Leon Lapidus and John H.
Seinfeld) . . . . . . . . . . . . . . . 352--354
L. B. Felsen Book Review: \booktitleApplied
Diffraction Theory (F. H. Northover) . . 354--356
Robert W. Rosenthal Book Review: \booktitleSome Topics in
Two-Person Games (T. Parthasarathy and
T. E. S. Raghavan) . . . . . . . . . . . 356--357
Victor Klee Book Review: \booktitleConvexity and
Optimization in Finite Dimension (Josef
Stoer and Christoph Witzgall) . . . . . 357--359
John Dinkel Book Review: \booktitleNumerical Methods
of Mathematical Optimization with ALGOL
and FORTRAN Programs (Hans P. Kunzi, H.
G. Tzschach and C. A. Zehnder) . . . . . 359--361
Judah Rosenblatt Book Review: \booktitleThe Theory of
Statistical Inference (Shelemyahu Zacks) 361--362
Anonymous Other Books Received . . . . . . . . . . 362--363
P. Erd\Hos A Solved and Unsolved Graph Coloring
Problem . . . . . . . . . . . . . . . . 364--364
G. Maier A Parametric Linear Complementarily
Problem . . . . . . . . . . . . . . . . 364--365
O. G. Ruehr A Nonlinear Differential Equation . . . 365--365
R. Tapia An Extremum Problem . . . . . . . . . . 365--365
R. A. Usmani Conjectured Monotonicity of a Matrix . . 365--366
N. Mullineux and
J. R. Reed Limit of an Integral . . . . . . . . . . 366--366
J. R. Ventura, Jr. Construction of a Maximal $ (0, 1) $
Determinant . . . . . . . . . . . . . . 366--366
D. Zeiberger Book Review: \booktitleSpecial Subsets
of a Finite Group (Royce Derby) . . . . 367--367
A. A. Jagers Book Review: \booktitleFactorization of
a Determinant (T. S. Chow and N. A.
Lindberger) . . . . . . . . . . . . . . 367--368
A. A. Jagers and
T. J. Baker and
G. S. S. Ludford Book Review: \booktitleA Fourier Sine
Transform (S. H. Smith) . . . . . . . . 368--371
A. A. Jagers Book Review: \booktitleAn Inequality
(Joel Brenner) . . . . . . . . . . . . . 371--372
C. R. Cassity Book Review: \booktitleRoot of an Octic
Equation (H. B. Coonce) . . . . . . . . 372--372
C. C. Rousseau and
R. Askey and
G. Gasper Book Review: \booktitleA Positive
Integral (L. Carlitz) . . . . . . . . . 372--378
O. G. Ruehr Book Review: \booktitleAn Expected Value
(M. S. Klamkin) . . . . . . . . . . . . 378--381
Anonymous Society for Industrial and Applied
Mathematics National Officers, 1972
Officers . . . . . . . . . . . . . . . . 382--382
Anonymous New Members . . . . . . . . . . . . . . 383--384
Anonymous Deaths . . . . . . . . . . . . . . . . . 384--384
Angelo Miele and
Robert E. Pritchard Numerical Solutions in the Simplest
Problem of the Calculus of Variations 385--398
W. Kohn Improvement of Rayleigh--Ritz
Eigenfunctions . . . . . . . . . . . . . 399--419
T. T. Wu Some Mathematical Problems in Fiber
X-Ray Crystallography . . . . . . . . . 420--432
Craig Comstock The Poincaré--Lighthill Perturbation
Technique and Its Generalizations . . . 433--446
Richard C. Grinold Steepest Ascent for Large Scale Linear
Programs . . . . . . . . . . . . . . . . 447--464
Yasuhiko Ikebe The Galerkin Method for the Numerical
Solution of Fredholm Integral Equations
of the Second Kind . . . . . . . . . . . 465--491
Ivar Stakgold Errata: Branching of Solutions of
Nonlinear Equations . . . . . . . . . . 492--492
O. Bottema Equilibrium Points . . . . . . . . . . . 493--493
K. D. Shere A Resource Allocation Problem . . . . . 493--493
J. E. Mazo and
L. A. Shepp Asymptotic Conjecture for a Nonlinear
Differential Equation . . . . . . . . . 494--494
D. K. Ross Inequalities for Special Functions . . . 494--494
W. A. Chat Biorthogonal Conditions for a Class of
Polynomials . . . . . . . . . . . . . . 494--495
T. S. Chow Eigenvalues of a Reflected Tridiagonal
Matrix . . . . . . . . . . . . . . . . . 495--495
K. W. Schmidt A Bound for a $ 4^k $-Order Maximal $
(0, 1) $ Determinant . . . . . . . . . . 495--495
A. Frankel Book Review: \booktitleBigradients
(Alston S. Householder) . . . . . . . . 495--496
H. E. Fettis Book Review: \booktitleAn Elliptic
Integral (M. L. Glasser) . . . . . . . . 497--498
J. W. Riese Book Review: \booktitleA Double-Sum
Identity (T. E. Phipps, Jr.) . . . . . . 498--499
I. Olkin Book Review: \booktitleA Determinant
Identity (K. W. Schmidt) . . . . . . . . 499--500
B. F. Logan and
L. A. Shepp Supremum of an Integral . . . . . . . . 500--501
W. B. Jordan Book Review: \booktitleAn Asymptotic
Expansion (P. Barrucand) . . . . . . . . 501--502
L. Carlitz Book Review: \booktitleAn Infinite
Summation (S. Saran) . . . . . . . . . . 502--504
Peter Wolfs Book Review: \booktitleA Double Integral
(C. J. Bouwkamp) . . . . . . . . . . . . 505--506
Richard Askey Book Review: \booktitleFourier Analysis
and Approximation (Paul L. Butzer and
Rolf J. Nessel) . . . . . . . . . . . . 507--508
Wilfred Kaplan Book Review: \booktitleTopics in
Ordinary Differential Equations: a
Potpourri (William D. Lakin and David A.
Sanchez) . . . . . . . . . . . . . . . . 508--509
James W. Daniel Book Review: \booktitleOptimisation
Théorie et Algorithmes (Jean Céa) . . . . 509--511
B. Harris Book Review: \booktitleThe Structure of
Inference (D. A. S. Fraser) . . . . . . 511--512
I. J. Good Book Review: \booktitleMultitype
Branching Processes. Theory and
Applications (Charles J. Mode) . . . . . 512--513
C. L. Chang and
R. C. T. Lee Book Review: \booktitleProblem-Solving
Methods in Artificial Intelligence (Nils
J. Nilsson) . . . . . . . . . . . . . . 513--514
Salah M. Yousif Book Review: \booktitleSystem
Identification (Andrew P. Sage and James
L. Melsa) . . . . . . . . . . . . . . . 514--517
Anonymous Other Books Received . . . . . . . . . . 517--519
Anonymous SIAM 1971 Fall Meeting . . . . . . . . . 520--545
Anonymous New Members . . . . . . . . . . . . . . 545--546
Anonymous Deaths . . . . . . . . . . . . . . . . . 546--546
Lee A. Segel Simplification and Scaling . . . . . . . 547--571
A. M. Fink Almost Periodic Functions Invented for
Specific Purposes . . . . . . . . . . . 572--581
A. Jeffrey and
T. Kakutani Weak Nonlinear Dispersive Waves: a
Discussion Centered Around the
Korteweg--de Vries Equation . . . . . . 582--643
D. J. Newman Expected Number of Stops for an Elevator 644--644
P. Smith Laplace Transforms of Airy Functions . . 644--644
Barry Wolk A Binomial Expansion Identity . . . . . 644--644
K. W. Schmidt Bounds for Maximal $ (1, - 1) $
Determinants of Order $ 1 (\bmod 4) $ 644--645
E. Hauer and
J. G. C. Templeton Mean and Variance of a Function of a
Random Permutation . . . . . . . . . . . 645--645
D. K. Rao A Fourier Transform . . . . . . . . . . 645--645
A. Sivasubramanian An Integral Equation . . . . . . . . . . 645--645
P. G. Kirmser and
K. K. Hu A Triple Sum . . . . . . . . . . . . . . 646--647
D. J. Newman Triangle on a Checkerboard . . . . . . . 647--647
Otto G. Ruehr Book Review: \booktitleAn Asymptotic
Expansion (P. Barrucand) . . . . . . . . 647--649
Stuart S. Antman Book Review: \booktitleAngular Velocity
and Moment Potential for a Right Body
(James G. Simmonds) . . . . . . . . . . 649--652
Otto G. Ruehr Book Review: \booktitleExpansion of an
Integral (Robert E. Shafer) . . . . . . 652--654
Ingram Olkin Book Review: \booktitleAn Infinite
Integral (Hedayat Yasaimaibodi) . . . . 654--656
C. C. Rousseau Book Review: \booktitleAn Inequality (M.
S. Klamkin) . . . . . . . . . . . . . . 656--657
B. Partlett Book Review: \booktitleHandbook for
Automatic Computation, Vol. II, Linear
Algebra (J. H. Wilkinson and C. Reinsch) 658--661
Wendell H. Fleming Book Review: \booktitleDifferential
Games (A. Friedman) . . . . . . . . . . 661--661
Frank Stenger Book Review: \booktitleQuadrature
Formulae (A. Ghizetti and A. Ossicini) 662--662
Mark A. Pinsky Book Review: \booktitleAn Introduction
to Probability Theory and Its
Applications, Vol. 2 (William Feller) 662--663
Jet Wimp Book Review: \booktitleObtaining
Generating Functions (Elna B. McBride) 663--667
Mark A. Pinsky Book Review: \booktitleBrownian Motion
and Diffusion, Vol. II (David Freedman) 667--668
John J. Sopka Book Review: \booktitlePrinciples of
Functional Analysis (Martin Schechter) 668--669
Ronald B. G. Guenther Book Review: \booktitleLinear Integral
Equations (Ram P. Kanwal) . . . . . . . 669--669
Anonymous Other Books Received . . . . . . . . . . 669--672
Anonymous New Members . . . . . . . . . . . . . . 673--676
F. W. Dorr The Direct Solution of the Discrete
Poisson Equation in $ O(n^2) $
Operations . . . . . . . . . . . . . . . 412--415
G. E. Uhlenbeck Book Review: \booktitleMathematical
Theory of Transport Processes in Gases
(J. H. Ferziger and H. G. Kaper) . . . . 804--805
Richard W. Hamming Book Review: \booktitleNumerical
Analysis and Computation: Theory and
Practice (E. K. Blum) . . . . . . . . . 807--807
Paul A. Samuelson Mathematics of Speculative Price . . . . 1--42
F. W. Dorr and
S. V. Parter and
L. F. Shampine Applications of the Maximum Principle to
Singular Perturbation Problems . . . . . 43--88
E. Wasserstrom Numerical Solutions by the Continuation
Method . . . . . . . . . . . . . . . . . 89--119
E. H. Lee and
G. E. Forsythe Variational Study of Nonlinear Spline
Curves . . . . . . . . . . . . . . . . . 120--133
Ulf Grenander Computational Probability and Statistics 134--192
James T. Lewis Approximation with Convex Constraints 193--217
Fred G. Stockton On the Characterization of a Curve . . . 218--218
Allen D. Ziebur Integral Representation for the
Moore--Penrose Generalized Inverse of a
Matrix . . . . . . . . . . . . . . . . . 218--218
Andrew Acker Commuting Matrices . . . . . . . . . . . 219--219
P. Barrucand Integral Representation for a Set of
Polynomials . . . . . . . . . . . . . . 219--219
Robert E. Shafer An Integral Inequality . . . . . . . . . 219--219
M. S. Klamkin A Polynomial Diophantine Equation . . . 220--220
Michael A. Narcowich Determination of a Sequence . . . . . . 220--220
K. W. Schmidt On the Minors of a Hadamard Determinant 220--220
Otto G. Ruehr Book Review: \booktitleA Family of
Fredholm Integral Equations (J. L.
Casti) . . . . . . . . . . . . . . . . . 220--221
Melvyn Ciment and
Cleve Moler and
Otto G. Ruehr Book Review: \booktitleA Conjectured
Positive Definite Matrix (K. W. Schmidt) 222--223
George E. Andrews Book Review: \booktitleA Set of
Nonlinear Equations (L. Carlitz) . . . . 224--225
O. G. Ruehr and
J. Swetits and
A. Thyagaraja and
J. S. White Book Review: \booktitleA Recurrence
Relation (H. E. Fettis) . . . . . . . . 225--227
Courtney Coleman Book Review: \booktitleStability of
Motion (Wolfgang Hahn) . . . . . . . . . 228--229
Frank Harary Book Review: \booktitleApplied Graph
Theory (W. K. Chen) . . . . . . . . . . 230--230
Richard F. Datko Book Review: \booktitleMathematical
Methods of Optimal Control (V. G.
Boltyanskii) . . . . . . . . . . . . . . 231--232
Jacob Korevaar Book Review: \booktitleGeneralized
Integral Transformations (A. H.
Zemanian) . . . . . . . . . . . . . . . 232--234
Frank Stenger Book Review: \booktitleApproximate
Calculation of Multiple Integrals (A. H.
Stroud) . . . . . . . . . . . . . . . . 234--235
D. H. Hyers Book Review: \booktitleThe Functions of
Mathematical Physics (Harry Hochstadt) 235--236
R. L. Johnston Book Review: \booktitleIterative
Solution of Large Linear Systems (David
M. Young) . . . . . . . . . . . . . . . 236--237
Mark S. Radwin Book Review: \booktitlePL/1 for
Scientific Programmers (C. T. Fike) . . 237--238
Anonymous Other Books Received . . . . . . . . . . 238--242
Anonymous Chronicle . . . . . . . . . . . . . . . 243--273
Anonymous Preface . . . . . . . . . . . . . . . . iii--iii
I. Edward Block SIAM --- Its First Three Years . . . . . v--ix
William B. Scholten and
Richard A. Gaggioli Normals to Coordinate Hypersurfaces as
Weight Minus-One Covariant Base Vectors 275--282
R. Saeks State in Hilbert Space . . . . . . . . . 283--308
Toshihide Ibaraki Algorithms for Obtaining Shortest Paths
Visiting Specified Nodes . . . . . . . . 309--317
Gene H. Golub Some Modified Matrix Eigenvalue Problems 318--334
D. E. Amos and
J. W. Burgmeier Computation with Three-Term, Linear,
Nonhomogeneous Recursion Relations . . . 335--351
William J. Vetter Matrix Calculus Operations and Taylor
Expansions . . . . . . . . . . . . . . . 352--369
Nathan Keyfitz Mathematics and Population . . . . . . . 370--375
W. H. H. Banks and
P. G. Drazin An Integral Identity . . . . . . . . . . 376--376
H. M. Srivastava A Summation Identity . . . . . . . . . . 376--376
Richard Askey An Integral Inequality . . . . . . . . . 377--377
Otto G. Ruehr A Nonlinear Differential Equation . . . 377--377
K. W. Schmidt On Hadamard Matrices . . . . . . . . . . 377--377
R. J. Faudree and
R. H. Schelp Book Review: \booktitleA Solved and
Unsolved Graph Coloring Problem (P.
Erd\Hos) . . . . . . . . . . . . . . . . 377--380
R. W. Cottle Book Review: \booktitleA Parametric
Linear Complementarily Problem (G.
Maier) . . . . . . . . . . . . . . . . . 381--384
C. C. Rousseau Book Review: \booktitleA Nonlinear
Differential Equation (O. G. Ruehr) . . 384--386
A. G. Konheim and
R. T. Shield Book Review: \booktitleAn Extremum
Problem (R. Tapir) . . . . . . . . . . . 386--387
O. P. Lossers and
A. A. Jagers and
A. N. Willson, Jr. Book Review: \booktitleConjectured
Monotonicity of a Matrix (R. A. Usmani) 387--390
O. P. Lossers Book Review: \booktitleLimit of an
Integral (N. Mullineux and J. R. Reed) 390--391
J. R. Ventura, Jr. and
P. J. Nikolai Book Review: \booktitleConstruction of a
Maximal $ (0, 1) $ Determinant (J. R.
Ventura, Jr.) . . . . . . . . . . . . . 391--391
Preston C. Hammer Book Review: \booktitleThe
Nonmathematical Foundations of
Mathematics (R. J. Diamond) . . . . . . 392--393
R. A. Brualdi Book Review: \booktitleTransversal
Theory (L. Mirsky) . . . . . . . . . . . 393--395
P. G. Rosenbloom Book Review: \booktitleHistory of
Mathematical Logic from Leibniz to Peano
(N. I. Styazhkin) . . . . . . . . . . . 395--396
I. I. Hirschman, Jr. Book Review: \booktitleAn Introduction
to Transform Theory (D. V. Widder) . . . 396--397
R. E. Mortensen Book Review: \booktitleStochastic
Processes in Information and Dynamical
Systems (Eugene Wong) . . . . . . . . . 397--400
Philip G. Dodge, Jr. Book Review: \booktitleFoundations o f
the Theory o f Plasticity (L. M.
Kachanov) . . . . . . . . . . . . . . . 400--401
Stan Fromovitz Book Review: \booktitleProbabilistic
Programming (S. Vajda) . . . . . . . . . 401--401
Steven C. Crow Book Review: \booktitleIntroduction to
Mathematical Fluid Dynamics (Richard E.
Meyer) . . . . . . . . . . . . . . . . . 401--403
J. M. Cook Book Review: \booktitleQuantum Mechanics
in Hilbert Space (Eduard Prugovecki) . . 403--404
B. A. Fleishman Book Review: \booktitleModern
Mathematical Methods in Technology (S.
Fenyo and T. Frey) . . . . . . . . . . . 404--405
James E. Falk Book Review: \booktitleOptimization
Theory for Large Systems (Leon S.
Lasdon) . . . . . . . . . . . . . . . . 405--406
Anonymous Other Books Received . . . . . . . . . . 407--408
Anonymous SIAM 1972 Fall Meeting . . . . . . . . . 409--440
Anonymous New Members . . . . . . . . . . . . . . 441--443
Anonymous Society for Industrial and Applied
Mathematics . . . . . . . . . . . . . . 444--446
Geoffrey I. Taylor Memories of von Kármán . . . . . . . . . . 447--452
Henry Hermes A Survey of Recent Results in
Differential Equations . . . . . . . . . 453--468
F. L. Bauer Software and Software Engineering . . . 469--480
Anatol Rapoport Uses of Mathematics Outside the Physical
Sciences . . . . . . . . . . . . . . . . 481--502
David M. Young A Survey of Modern Numerical Analysis 503--523
W. F. Ames Some Computation-Steeples in Fluid
Mechanics . . . . . . . . . . . . . . . 524--552
E. Polak An Historical Survey of Computational
Methods in Optimal Control . . . . . . . 553--584
Alan Tucker Perfect Graphs and an Application to
Optimizing Municipal Services . . . . . 585--590
William W. Hogan Point-to-Set Maps in Mathematical
Programming . . . . . . . . . . . . . . 591--603
R. Saeks Fourier Analysis in Hilbert Spaces . . . 604--638
David W. Peterson A Review of Constraint Qualifications in
Finite-Dimensional Spaces . . . . . . . 639--654
A. Berman Rank Factorization of Nonnegative
Matrices . . . . . . . . . . . . . . . . 655--655
D. A. Bogdanoff A Hypervolume . . . . . . . . . . . . . 655--655
C. Rogers A Functional Equation from Gas Dynamics 655--657
A. J. Goldstein and
R. L. Graham A Hadamard-Type Bound on the
Coefficients of a Determinant of
Polynomials . . . . . . . . . . . . . . 657--658
S. Stein A Minimum Number of Normals . . . . . . 658--658
Robert E. Shafer A Generalization of Spherical Harmonics 658--663
D. J. Bordelon and
A. S. Williamson Book Review: \booktitleEquilibrium
Points (O. Bottema) . . . . . . . . . . 663--665
D. J. Bordelon Book Review: \booktitleInequalities for
Special Functions (D. K. Ross) . . . . . 665--670
L. Carlitz Book Review: \booktitleBiorthogonal
Conditions for a Class of Polynomials
(W. A. Chai) . . . . . . . . . . . . . . 670--672
O. G. Ruehr Book Review: \booktitleEigenvalues of a
Reflected Tridiagonal Matrix (T. S.
Chow) . . . . . . . . . . . . . . . . . 672--673
K. W. Schmidt A Bound for a $ 4^k $-Order Maximal $
(0, 1) $ Determinant . . . . . . . . . . 673--674
Donald G. Saari Book Review: \booktitleLectures on
Celestial Mechanics (C. L. Siegel and J.
K. Moser) . . . . . . . . . . . . . . . 675--676
Ralph A. Willoughby Book Review: \booktitleNumerical Initial
Value Problems in Ordinary Differential
Equations (C. William Gear) . . . . . . 676--678
Marvin Marcus Book Review: \booktitleMultiparameter
Eigenvalue Problems: Matrices and
Compact Operators (F. V. Atkinson) . . . 678--679
Richard R. Goldberg Book Review: \booktitleFourier Series
and Integrals (H. Dym and H. P. McKean) 679--680
Anonymous Other Books Received . . . . . . . . . . 680--682
Anonymous New Members . . . . . . . . . . . . . . 683--685
George Hsiao and
R. C. MacCamy Solution of Boundary Value Problems by
Integral Equations of the First Kind . . 687--705
Kenneth S. Miller Complex Linear Least Squares . . . . . . 706--726
G. W. Stewart Error and Perturbation Bounds for
Subspaces Associated with Certain
Eigenvalue Problems . . . . . . . . . . 727--764
A. J. Devaney and
George C. Sherman Plane-Wave Representations for Scalar
Wave Fields . . . . . . . . . . . . . . 765--786
J. F. Foley A Special Class of Matrices . . . . . . 787--787
A. Thyagaraja Ensemble Averages . . . . . . . . . . . 787--787
R. A. Askey A Sine Inequality . . . . . . . . . . . 788--788
L. Carlitz A Pair of Theta Function Identities . . 788--788
L. Flatto and
D. J. Newman An Inverse Drum Problem . . . . . . . . 788--788
K. W. Schmidt On Hadamard Determinants . . . . . . . . 788--788
B. C. Berndt A Double Summation . . . . . . . . . . . 789--789
W. Trebels Conditions for an Inequality . . . . . . 789--789
A. J. Bosch Book Review: \booktitleOn a Switching
Circuit (Herbert A. Cohen) . . . . . . . 789--790
Wai-Kai Chen The Inverse of a Laplace Transform in
Electrical Filter Theory . . . . . . . . 790--792
A. J. Bosch Book Review: \booktitleA Determinant
Identity (K. W. Schmidt) . . . . . . . . 792--793
Peter Bryant and
Patrick E. O'Neil and
F. W. Steutel Book Review: \booktitleExpected Number
of Stops for an Elevator (D. J. Newman) 793--796
A. G. Gibes Book Review: \booktitleLaplace
Transforms of Airy Functions (P. Smith) 796--798
A. A. Jagers Book Review: \booktitleA Binomial
Expansion Identity (Barry Wolk) . . . . 798--799
K. W. Schmidt Bounds for Maximal $ (1, - 1) $
Determinants of Order $ 1 (\bmod 4) $ 799--800
Farhad Mehran Book Review: \booktitleMean and Variance
of a Function of a Random Permutation
(E. Hauer and J. G. C. Templeton) . . . 800--801
Anonymous Book Review: \booktitleA Fourier
Transform (D. K. Rao) . . . . . . . . . 801--802
W. B. Jordan Book Review: \booktitleA Triple Sum (P.
G. Kirmser and K. K. Hu) . . . . . . . . 802--803
Anonymous Erratum for April 1973 Problem Section 803--803
G. E. Uhlenbeck Book Review: \booktitleMathematical
Theory of Transport Processes in Gases
(J. H. Ferziger and H. G. Kaper) . . . . 804--805
Norman W. Bazley Book Review: \booktitleMethods of
Intermediate Problems for Eigenvalues
Theory and Ramifications (Alexander
Weinstein and William Stenger) . . . . . 805--806
Richard W. Hamming Book Review: \booktitleNumerical
Analysis and Computation: Theory and
Practice (E. K. Blum) . . . . . . . . . 807--807
F. Fiala Book Review: \booktitleLinear
Optimization (W. Allen Spivey and Robert
M. Thrall) . . . . . . . . . . . . . . . 807--809
Martin Schechter Book Review: \booktitleTheory of Partial
Differential Equations (H. Melvin
Lieberstein) . . . . . . . . . . . . . . 809--809
Anonymous Other Books Received . . . . . . . . . . 809--814
Anonymous Chronicle . . . . . . . . . . . . . . . 815--820
Anonymous SIAM Institute for Mathematics and
Society . . . . . . . . . . . . . . . . 820--820
Jorge J. Moré Coercivity Conditions in Nonlinear
Complementarity Problems . . . . . . . . 1--16
K. A. Zischka and
P. S. Chow On Nonlinear Initial Boundary Value
Problems of Heat Conduction and
Diffusion . . . . . . . . . . . . . . . 17--35
W. J. Cody The Construction of Numerical Subroutine
Libraries . . . . . . . . . . . . . . . 36--46
E. N. Gilbert Distortion in Maps . . . . . . . . . . . 47--62
Peter C. Fishburn Social Choice Functions . . . . . . . . 63--90
M. L. Mehta Monotonicity of a Function . . . . . . . 91--92
M. L. Mehta A Normalization Constant . . . . . . . . 92--93
S. K. Park and
T. A. Straeter Davidon's Cubic Interpolation . . . . . 93--94
L. Carlitz A System of Difference-Differential
Equations . . . . . . . . . . . . . . . 94--94
J. C. Cavendish On the Norm of a Matrix Exponential . . 94--94
D. W. Robinson Book Review: \booktitleIntegral
Representation for the Moore--Penrose
Generalized Inverse of a Matrix (Allen
D. Ziebur) . . . . . . . . . . . . . . . 94--96
Robert E. Shafer Book Review: \booktitleAn Integral
Equality (Robert E. Shafer) . . . . . . 96--97
D. R. Breach Book Review: \booktitleDetermination of
a Sequence (Michael A. Narcowich) . . . 97--97
K. W. Schmidt On the Minors of a Hadamard Determinant 98--99
O. P. Lossers Book Review: \booktitleA Polynomial
Diophantine Equation (M. S. Klamkin) . . 99--100
Brian R. Lau Book Review: \booktitleNon-Homogeneous
Boundary Value Problems and Applications
(J. L. Lions and E. Magenes) . . . . . . 101--102
B. Gruber Book Review: \booktitleLie Groups and
Lie Algebras with Applications and
Computational Methods (Johan G. F.
Belinfante and Bernard Kolman) . . . . . 102--104
Fred W. Dorr Book Review: \booktitleDynamic
programming and Partial Differential
Equations (Edward Angel and Richard
Bellman) . . . . . . . . . . . . . . . . 104--105
Stan Cabay Book Review: \booktitleSpline Analysis
(Martin H. Schultz) . . . . . . . . . . 105--106
Robert J. Sacker Book Review: \booktitleStability Theory
of Dynamical Systems (N. P. Bhatia and
G. P. Szeg\Ho) . . . . . . . . . . . . . 106--107
Paul Nelson, Jr. Book Review: \booktitleMathematical
Optimization and Economic Theory
(Michael D. Intriligator) . . . . . . . 107--108
Salah M. Yousif Book Review: \booktitleStatistics of
Directional Data (K. V. Mardia) . . . . 108--109
Anonymous Other Books Received . . . . . . . . . . 110--112
Anonymous SIAM 1973 National Meeting . . . . . . . 113--141
M. Frank Norman Markovian Learning Processes . . . . . . 143--162
Michael A. Arbib and
Ernest G. Manes Machines in a Category: an Expository
Introduction . . . . . . . . . . . . . . 163--192
Stephen Barnett A New Look at Classical Algorithms for
Polynomials Resultant and G.C.D.
Calculation . . . . . . . . . . . . . . 193--206
A. S. Householder Bigradients and the Euclid--Sturm
Algorithm . . . . . . . . . . . . . . . 207--213
R. E. Kleinman and
G. F. Roach Boundary Integral Equations for the
Three-Dimensional Helmholtz Equation . . 214--236
J. M. Hammersley Some Speculations on a Sense of Nicely
Calculated Chances . . . . . . . . . . . 237--255
M. L. Mehta Three Multiple Integrals . . . . . . . . 256--257
M. L. Mehta Positivity Conditions for Orthogonal
Polynomials . . . . . . . . . . . . . . 257--258
J. S. Lew and
R. Ghez An Integral Equation for Crystal Growth 258--258
V. E. Hoggatt, Jr. Bounds for the Zero of a Polynomial . . 258--259
F. J. De Boer Book Review: \booktitleAn Integral
Identity (W. H. H. Banks and P. G.
Drazin) . . . . . . . . . . . . . . . . 259--260
Otto G. Ruehr Book Review: \booktitleA Summation
Identity (H. M. Srivastava) . . . . . . 260--261
Otto G. Ruehr A Nonlinear Differential Equation . . . 261--262
A. A. Jagers Book Review: \booktitleAn Integral
Inequality (Richard Askey) . . . . . . . 262--263
J. W. Moon Book Review: \booktitleGraphical
Enumeration (Frank Harary and Edgar M.
Palmer) . . . . . . . . . . . . . . . . 264--265
Paul B. Bailey Book Review: \booktitleTwo-point
Boundary Value Problems. Shooting
Methods (Sanford M. Roberts and Jerome
S. Shipman) . . . . . . . . . . . . . . 265--266
Donald A. Dawson Book Review: \booktitleRandom Integral
Equations (A. T. Bharucha-Reid) . . . . 266--268
F. B. Sleator Book Review: \booktitleApplied
Mathematics: an Introduction (Harry
Pollard) . . . . . . . . . . . . . . . . 268--269
Frank Harary Book Review: \booktitleGraph Theory in
Modern Engineering (Ernest J. Henley and
R. A. Williams) . . . . . . . . . . . . 269--270
Roger Wets Book Review: \booktitleFunctional
Analysis in Mathematical Economics.
Optimization over Infinite Horizons
(Lester G. Telser and Robert L. Graves) 270--271
Harold Kushner Book Review: \booktitleStochastic
Differential Equations (I. I. Gihman and
A. V. Skorohod) . . . . . . . . . . . . 271--272
L. B. Rall Book Review: \booktitleIterative
Solution of Nonlinear Equations in
Spneod Variables (J. M. Ortega and W. C.
Rheinboldt) . . . . . . . . . . . . . . 272--274
Edward Butz Book Review: \booktitleFoundations of
Mathematical Biology, Vol. 1:
Subcellular Systems (Robert Rosen, ed.) 274--276
Anonymous Other Books Received . . . . . . . . . . 276--278
Anonymous SIAM Fall Meeting 1973 . . . . . . . . . 279--287
Anonymous New Members . . . . . . . . . . . . . . 288--293
M. S. Klamkin Moving Axes and the Principle of the
Complementary Function . . . . . . . . . 295--302
Jaak Vilms Differentiation of Tensor Fields. II . . 303--308
Roger J.-B. Wets Stochastic Programs with Fixed Recourse:
The Equivalent Deterministic Program . . 309--339
A. S. Householder The Gatlinburgs . . . . . . . . . . . . 340--343
A. S. Householder Schröder and Trudi: a Historical
Excursion . . . . . . . . . . . . . . . 344--348
E. F. Assmus, Jr. and
H. F. Mattson, Jr. Coding and Combinatorics . . . . . . . . 349--388
A. J. Guttmann An Integral from Statistical Mechanics 389--389
G. E. Andrews The Rogers--Ramanujan Identities . . . . 390--390
F. W. Steutel A Probabilistic Inequality . . . . . . . 390--391
C. R. Crawford A Matrix Problem . . . . . . . . . . . . 391--391
D. Rine A Discrete Minimization . . . . . . . . 391--391
S. Venit A Generalization of the Vandermonde
Determinant . . . . . . . . . . . . . . 391--391
Andrew Acker Book Review: \booktitleCommuting
Matrices (Andrew Acker) . . . . . . . . 391--393
L. B. Thomas Book Review: \booktitleRank
Factorization of Nonnegative Matrices
(A. Berman) . . . . . . . . . . . . . . 393--394
O. P. Lossers Book Review: \booktitleA Hadamard-Type
Bound on the Coefficients of a
Determinant of Polynomials (A. J.
Goldstein and R. L. Graham) . . . . . . 394--395
B. N. Parlett Book Review: \booktitleLarge Sparse Sets
of Linear Equations (J. K. Reid, ed.);
Sparse Matrices and Their Applications
(Donald J. Rose and Ralph A. Willoughby,
ed.) . . . . . . . . . . . . . . . . . . 396--398
C. Doléans-Dads Book Review: \booktitleMartingales \`a
Temps Discret (Jacques Neveu) . . . . . 398--399
Stan Fromovitz Book Review: \booktitleStochastic
Programming: Methods and Applications
(Jati K. Sengupta) . . . . . . . . . . . 399--400
George Fix Book Review: \booktitleApproximation of
Elliptic Boundary-Value Problems
(Jean-Pierre Aubin) . . . . . . . . . . 400--401
Edward Butz Book Review: \booktitleFoundations of
Mathematical Biology. Vol. II: Cellular
Systems (Robert Rosen, ed.) . . . . . . 401--403
Charles G. Morgan Book Review: \booktitleSymbolic Logic
and Mechanical Theorem Proving
(Chin-Liang Chang and Richard Char-Tung
Lee) . . . . . . . . . . . . . . . . . . 403--407
John R. Rice Book Review: \booktitleComplexity of
Computer Computations (Raymond E. Miller
and James W. Thatcher, eds.) . . . . . . 407--409
K. W. Smillie Book Review: \booktitleComputer
Approaches to Mathematical Problems (J.
Nievergelt, J. C. Farrar and E. M.
Reingold) . . . . . . . . . . . . . . . 409--409
Anonymous Other Books Received . . . . . . . . . . 409--411
Anonymous Section News . . . . . . . . . . . . . . 412--414
Anonymous New Members . . . . . . . . . . . . . . 415--417
Anonymous Deaths . . . . . . . . . . . . . . . . . 417--417
Anonymous New Membership Categories . . . . . . . 417--417
George Poole and
Thomas Boullion A Survey on $M$-Matrices . . . . . . . . 419--427
Lloyd Demetrius Invariant Ideals of Positive Operators 428--440
George E. Andrews Applications of Basic Hypergeometric
Functions . . . . . . . . . . . . . . . 441--484
Edward A. Bender Asymptotic Methods in Enumeration . . . 485--515
M. L. Balinski and
Andrew Russakoff On the Assignment Polytope . . . . . . . 516--525
John Todd John von Neumann and the National
Accounting Machine . . . . . . . . . . . 526--530
Carl de Boor Bounding the Error in Spline
Interpolation . . . . . . . . . . . . . 531--544
O. Bottema A Stability Problem . . . . . . . . . . 545--545
Michael H. Moors Constrained Minimization of an Integral
Functional . . . . . . . . . . . . . . . 545--545
R. Askey One-Sided Approximation to Special
Functions . . . . . . . . . . . . . . . 545--546
H. R. Aggarwal Gravitational Attraction . . . . . . . . 546--546
P. Beckmann Two-Dimensional Discrete Probability
Distributions . . . . . . . . . . . . . 546--546
M. S. Klamkin An Optimal Strategy . . . . . . . . . . 547--547
E. O. Schulz-DuBois Fourier Coefficients of a Function
Involving Elliptic Integrals of the
First Kind . . . . . . . . . . . . . . . 547--547
A. Thyagaraja Book Review: \booktitleEnsemble Averages
(A. Thyagaraja) . . . . . . . . . . . . 548--548
John Z. Hearon Book Review: \booktitleA Special Class
of Matrices (J. F. Foley) . . . . . . . 548--549
A. A. Jagers Book Review: \booktitleA Sine Inequality
(R. A. Askey) . . . . . . . . . . . . . 550--553
G. E. Andrews Book Review: \booktitleA Pair of Theta
Function Identities (L. Carlitz) . . . . 553--555
B. C. Berndt A Double Summation . . . . . . . . . . . 555--557
Lewis T. Wheeler Book Review: \booktitleWave Propagation
in Elastic Solids (J. D. Achenbach) . . 558--558
Edward G. Butz Book Review: \booktitleFoundations of
Mathematical Biology. Vol. III
Supercellular Systems (Robert Rosen,
ed.) . . . . . . . . . . . . . . . . . . 558--561
Bill Gear Book Review: \booktitleAnalysis of
Discretization Methods for Ordinary
Differential Equations (Hans J. Stetter) 561--562
A. O. Pittenger Book Review: \booktitleApproximating
Countable Markov Chains (David Freedman) 562--564
James M. Ortega Book Review: \booktitleSolution of
Equations in Euclidean and Banach Spaces
(A. M. Ostrowski) . . . . . . . . . . . 564--564
R. E. O'Malley, Jr. Book Review: \booktitleMatched
Asymptotic Expansions and Singular
Perturbations (Wiktor Eckhaus) . . . . . 564--565
Kenneth W. Kennedy Book Review: \booktitleA Mathematical
Theory of Global Program Optimization
(Marvin Schaefer) . . . . . . . . . . . 565--566
F. Spitzer Book Review: \booktitleFourier Analysis
in Probability Theory (T. Kawata) . . . 566--566
P. B. Bailey Book Review: \booktitleInitial Value
Methods for Boundary Value Problems
(Gunter H. Meyer) . . . . . . . . . . . 566--568
G. Milton Wing Book Review: \booktitleInvariant
Imbedding Theory of Nuclear Transport
(J. O. Mingle) . . . . . . . . . . . . . 568--568
Wolfgang Wasow Book Review: \booktitleAsymptotic
Expansions: Their Derivation and
Interpretation (R. B. Dingle) . . . . . 568--570
R. G. Newton Book Review: \booktitleCausality and
Dispersion Relations (H. M. Nussenzveig) 570--571
Roland E. Larson Book Review: \booktitleNonserial Dynamic
Programming (Umberto Bertel\`e and
Francesco Brioschi) . . . . . . . . . . 571--572
J. W. Moon Book Review: \booktitleA Handbook of
Integer Sequences (N. J. A. Sloane) . . 572--572
Anonymous Other Books Received . . . . . . . . . . 572--575
Anonymous SIAM 1974 National Meeting . . . . . . . 576--592
Donald Ludwig Geometrical Theory for Surface Waves . . 1--15
R. E. O'Malley, Jr. On Two Methods of Solution for a
Singularly Perturbed Linear State
Regulator Problem . . . . . . . . . . . 16--37
M. C. Shen Ray Method for Surface Waves on Fluid of
Variable Depth . . . . . . . . . . . . . 38--56
Pao Liu Chow Perturbation Methods in Stochastic Wave
Propagation . . . . . . . . . . . . . . 57--81
Bernard J. Matkowsky On Boundary Layer Problems Exhibiting
Resonance . . . . . . . . . . . . . . . 82--100
Louis Bauer and
Herbert B. Keller and
Edward L. Reiss Multiple Eigenvalues Lead to Secondary
Bifurcation . . . . . . . . . . . . . . 101--122
Frank Hoppensteadt Analysis of Some Problems Having Matched
Asymptotic Expansion Solutions . . . . . 123--135
W. S. Childress and
E. A. Spiegel Archimedean Instabilities in Two-Phase
Flows . . . . . . . . . . . . . . . . . 136--165
Anonymous Announcement . . . . . . . . . . . . . . 166--166
R. W. Allen Idealized Optical Fibre Mode Conversion 167--167
G. J. Simmons The Regiment Problem Revisited . . . . . 167--167
P. Barrucand A Combinatorial Identity . . . . . . . . 168--168
U. G. Haussmann A Power Series Expansion . . . . . . . . 168--168
P. C. T. de Boer and
G. S. S. Ludford Existence of a Transition Solution . . . 169--169
M. M. Gupta A Nonnegative Form . . . . . . . . . . . 169--169
D. A. Voss The Spectral Radius of a Matrix . . . . 169--170
William C. Davidon Book Review: \booktitleDavidon's Cubic
Interpolation (S. K. Park and T. A.
Straeter) . . . . . . . . . . . . . . . 170--171
W. C. Davidson Davidon's Cubic Interpolation . . . . . 170--171
L. Carlitz A System of Difference-Differential
Equations . . . . . . . . . . . . . . . 171--173
David L. Powers Book Review: \booktitleOn the Norm of a
Matrix Exponential (J. C. Cavendish) . . 174--176
D. L. Powers and
R. Jeltsch Norm of a Matrix Exponential . . . . . . 174--176
Bernard A. Asner Book Review: \booktitleFrequency Domain
Criteria for Absolute Stability (Kumpati
S. Narendra and James H. Taylor) . . . . 177--178
R. D. Driver Book Review: \booktitleIntroduction to
the Theory and Application of
Differential Equations with Deviating
Arguments (L. E. El'sgol'ts and S. B.
Norkin) . . . . . . . . . . . . . . . . 178--179
J. Hartmanis Book Review: \booktitleFormal Languages
(Arto Salomaa) . . . . . . . . . . . . . 179--180
Nicholas D. Kazarinoff Book Review: \booktitleFoundations of
Modern Potential Theory (N. S. Landkof) 180--180
Robert B. Kelman Book Review: \booktitleMathematical
Physiology: Blood Flow and Electrically
Active Cells (H. Melvin Lieberstein) . . 181--182
Michael Marcus Book Review: \booktitleStochastic
Processes and the Wiener Integral (James
J. Yeh) . . . . . . . . . . . . . . . . 182--183
Kenneth R. Meyer Book Review: \booktitleQualitative
Theory of Second-Order Dynamic Systems
(A. A. Andronov, E. A. Leontovich, I. I.
Gordon and A. G. Maier); Theory of
Bifurcations of Dynamic Systems on a
Plane (A. A. Andronov, E. A. Leontovich,
I. I. Gordon and A. G. Maier) . . . . . 183--184
Anonymous Other Books Received . . . . . . . . . . 184--185
Anonymous New Members . . . . . . . . . . . . . . 186--193
Anonymous Council of SIAM Meeting . . . . . . . . 194--195
Anonymous Deaths . . . . . . . . . . . . . . . . . 195--195
F. B. Estabrook and
H. D. Wahlquist The Geometric Approach to Sets of
Ordinary Differential Equations and
Hamiltonian Dynamics . . . . . . . . . . 201--220
Donald R. Smith The Multivariable Method in Singular
Perturbation Analysis . . . . . . . . . 221--273
N. Riley Unsteady Laminar Boundary Layers . . . . 274--297
L. Carlitz Permutations, Sequences and Special
Functions . . . . . . . . . . . . . . . 298--322
H. H. Hall and
E. O. Heady and
A. Stoecker and
V. A. Sposito Spatial Equilibrium in U.S. Agriculture:
a Quadratic Programming Analysis . . . . 323--338
James S. W. Wong On the Generalized Emden--Fowler
Equation . . . . . . . . . . . . . . . . 339--360
John Todd Numerical Analysis at the National
Bureau of Standards . . . . . . . . . . 361--370
Anonymous Classroom Notes in Applied Mathematics 371--371
Anonymous SIAM Fall Meetings 1974 . . . . . . . . 372--393
M. J. Ablowitz Nonlinear Evolution Equations ---
Continuous and Discrete . . . . . . . . 373--374
N. U. Ahmed Approximation Theorem for Continuous
Functions on $ L_p (1 \leq p) $ Infinity
Spaces . . . . . . . . . . . . . . . . . 374--374
D. A. Archer Collocation in Two Dimensions --- Some
Numerical Experiments . . . . . . . . . 374--374
L. L. Barinka and
R. L. Jennings Substructuring Procedure for Numerical
Analysis of Thin Shells of Revolution 374--374
A. E. Berger Truncation Method for Solution of a
Class of Variational Inequalities and
its Relation to Ritz Method . . . . . . 374--375
P. T. Boggs Convergence of Ben--Israel Iteration for
Nonlinear Least-Squares Problems . . . . 375--375
C. R. Cassity Solutions of Sixth Order Runge--Kutta
Equations . . . . . . . . . . . . . . . 375--375
J. C. Cavendish and
G. Birkhoff and
W. J. Gordon Multivariate Approximation by Locally
Blended Univariate Interplants . . . . . 375--375
C. Charalambous and
A. R. Conn Efficient Method to Solve Minimax
Problem Directly . . . . . . . . . . . . 376--376
P. L. Chow and
W. C. Tam Solutions to Some Nonlinear Diffusion
Equations in Population-Growth Models 376--376
M. Ciment and
S. H. Leventhal Higher-Order Compact Implicit Schemes
for Hyperbolic Equations . . . . . . . . 376--377
E. A. Cohen Zero Distribution and Behavior of
Orthogonal Polynomials in Sobolev Space
W1,2[-1,1] . . . . . . . . . . . . . . . 377--377
C. Comstock and
D. A. Archer Some Results with Singular
Sturm--Liouville Problems . . . . . . . 377--377
J. Cullum and
W. E. Donath Block Lanczos Algorithm for Computing
$Q$ Algebraically Largest Eigenvalues
and a Corresponding Eigenspace of a
Large, Sparse, Real Symmetric Matrix . . 377--377
D. A. Drew Topographically Forced Component of
Atmospheric Motion . . . . . . . . . . . 377--377
P. J. Eberlein Minimum Number of Comparisons Required
to Find Median of $N$-Elements . . . . . 377--378
L. R. Elveback Stochastic Simulation Models for Two
Immunization Problems . . . . . . . . . 378--378
G. J. Fix Finite Elements and Scientific Computing 378--378
R. Franke Convergence of an Algorithm for Rational
Chebyshev Approximation . . . . . . . . 378--378
M. I. Freedman Perturbation Analysis for Minimum Time
Problem in Optimal Control . . . . . . . 378--378
L. Garey Starting Procedures for Volterra
Integral Equations Using Generalized
Quadrature Rules . . . . . . . . . . . . 378--378
N. Geffen Variational Formulation for
Nonlinear-Wave Calculations . . . . . . 378--379
M. J. Goldstein Further Decomposition of Pseudoinverse
and Eigensystem of a Hermitian
Persymmetric Matrix . . . . . . . . . . 379--379
W. J. Gordon Role of Numerical Analysis in Automotive
Design and Production . . . . . . . . . 379--379
D. Gottlieb and
S. S. Abarbanel and
E. Turkel Fourth Order Accuracy Finite-Difference
Methods for Hyperbolic Systems . . . . . 379--379
G. D. Hachtel Astap --- Sparse Tableau Program for
Solution and Optimization of
Differential Equations for Engineering
Applications . . . . . . . . . . . . . . 379--380
H. J. Haussling and
R. T. Vaneseltine Numerical Solution of Linear and
Nonlinear Water Wave Problems . . . . . 380--380
J. W. Heidel and
A. J. Kretchmar and
S. M. Serbin Parameter Identification in a Metabolic
System . . . . . . . . . . . . . . . . . 380--380
H. M. Helfand Application of Method of Multiple Scales
to Problems Arising in Supersonic
Aerodynamics . . . . . . . . . . . . . . 380--380
J. P. Hennart Extrapolated Finite-Element Procedures
over Cartesian Product Domains . . . . . 380--381
K. E. Hillstrom Comments on Modularization of a Package
of Algorithms for Unconstrained
Nonlinear Optimization Problem . . . . . 381--381
R. S. Hirsh Application of a Fourth Order
Differencing Technique to Fluid
Mechanics Problems . . . . . . . . . . . 381--381
G. C. Hsiao and
J. F. Ahner Constructive Method for Exterior
Boundary-Value Problems of Elasticity 381--382
Y. Ikebe Numerical Computation of Characteristic
Values of Mathieus Equation . . . . . . 382--382
T. Ito and
J. H. Ahlberg Collocation Method for Two-Point
Boundary-Value Problems . . . . . . . . 382--382
P. S. Jensen Stiffly Stable Methods for Undamped
Second-Order Equations of Motion . . . . 382--382
H. L. Johnson Integral-Equation Formulation of a Mixed
Boundary-Value Problem on a Sphere . . . 382--383
H. G. Kaper and
G. K. Leaf Use of Rational Coordinate Functions for
Interpolation and Approximation over a
Convex Quadrilateral . . . . . . . . . . 383--383
H. B. Keller Computation of Boundary-Layer Flows . . 383--383
R. Kittappa and
R. E. Kleinman Acoustic Scattering by Penetrable
Homogeneous Objects . . . . . . . . . . 383--383
P. D. Lax Nonlinear-Wave Motion . . . . . . . . . 383--383
D. Lee and
S. Preiser Nonlinear Multistep Methods for Solving
Initial Value Problems in Ordinary
Differential Equations . . . . . . . . . 383--384
S. H. Leventhal and
A. K. Aziz Numerical Solution of Mixed
Hyperbolic-Elliptic Equations . . . . . 384--384
L. E. Levine and
E. S. Lubot Optimal Approximate Solutions and Time
Scales . . . . . . . . . . . . . . . . . 384--384
W. Lord and
J. H. Hwang Predicting Magnetic Leakage Fields by
Finite-Element Techniques . . . . . . . 384--384
M. A. Mahrous Qualitative Properties of Reformulated
Hodgkin--Huxley Partial-Differential
Equation . . . . . . . . . . . . . . . . 385--385
S. G. Margolis Finite-Element Methods for Unsteady
Compressible Gas Dynamics . . . . . . . 385--385
J. Markham and
D. L. Snyder Algorithm for Maximum-Likelihood
Estimation for Tracer-Kinetic Data . . . 385--385
G. G. L. Meyer Finite Solvability of a Family of
Approximating Problems . . . . . . . . . 385--385
R. M. Miura Korteweg--de Vries Equation --- Survey
of Results . . . . . . . . . . . . . . . 385--386
J. A. Morrison Structure of a Utility Function Under
Strong Risk Invariance . . . . . . . . . 386--386
A. A. Mullin Applications of Geometry to
Crystallography . . . . . . . . . . . . 386--386
D. O. Norris and
L. E. Snyder Least-Squares Identification of
Parameters of a Linear-System . . . . . 386--387
O. M. Phillips and
M. L. Banner Wave Breaking in Presence of Wind Drift
and Swell . . . . . . . . . . . . . . . 387--387
W. G. Poole and
N. E. Gibbs and
P. K. Stockmeyer Algorithm for Reducing Bandwidth and
Profile of a Sparse Matrix . . . . . . . 387--387
L. J. Putnick and
B. J. Matkowsky and
E. L. Reiss Secondary States of Rectangular Plates 387--387
C. Quon Optimum Simplification in Computation of
Three-Dimensional Annulus Waves . . . . 387--387
J. Rinzel and
J. B. Keller Spatial Instability of Travelling-Wave
Solutions of a Nerve-Conduction Equation 387--388
E. H. Rogers and
J. F. Menick Intermediate Problems and Variational
Theory for Nonlinear Spectra . . . . . . 388--388
J. C. W. Rogers Initial Value Problem for Water Waves 388--388
L. A. Rubenfeld and
W. L. Siegmann Some Mathematical Aspects of
Double-Diffusive Convection . . . . . . 388--388
F. J. Scheid Nonlinear Feature of Golf Course Rating
with Application to Handicapping . . . . 388--389
J. D. Sebastian Computation of Neumann Functions of
Complex Argument and Real Order . . . . 389--389
L. F. Shampine Solving Non-Stiff Ordinary Differential
Equations --- State of Art . . . . . . . 389--389
A. H. Sherman and
S. C. Eisenstat and
M. H. Schultz Direct Methods for Solution of Sparse
Systems of Linear Equations with Limited
Core Storage . . . . . . . . . . . . . . 389--389
W. L. Siegmann and
L. A. Rubenfeld Dynamic Behavior Near Onset of
Double-Diffusive Convection . . . . . . 389--389
J. B. Starr Analysis of Control Systems Utilizing
Thermoelectric Coolers . . . . . . . . . 389--390
R. Streit Optimum Field Patterns for Unequally
Spaced Linear Antenna Arrays . . . . . . 390--390
M. J. Vandervorst and
A. E. Berger Use of Finite-Element Method in a Marker
and Cell Program for Solving
Time-Dependent Fluid-Flow Problems with
Free Surfaces . . . . . . . . . . . . . 390--390
A. H. Vantuyl Calculation of Limiting Lines of
Solutions of Analytic Initial Value
Problems by Use of Power Series and
Nonlinear Sequence Transformations . . . 390--391
P. T. R. Wang and
D. S. Kerr and
L. J. White Bandwidth Reduction of Sparse Matrices
by Row and Column Permutations . . . . . 391--391
R. C. Ward Combination Shift $ Q Z $ Algorithm . . 391--391
R. L. Warnock and
P. W. Johnson Marginally Singular Integral Operators
with Divided-Difference Kernels . . . . 391--391
H. A. Watts and
M. R. Scott Orthog --- Computer Code for Two-Point
Boundary-Value Problems via
Orthonormalization . . . . . . . . . . . 392--392
J. W. Wingate Existence of Optimal Controls . . . . . 392--392
C. Witzgall Algorithm Selection for Parameter
Estimation in Logit Models . . . . . . . 392--392
P. Wolfe Some Progress in Mathematical
Programming . . . . . . . . . . . . . . 392--392
C. H. Wu Theory of Plane Linear Wrinkle
Elasticity without Body Force . . . . . 392--392
J. A. Yorke Dynamics of Spread of Diseases . . . . . 392--392
H. C. Yuen and
B. M. Lake Nonlinear Deep-Water Waves --- Theory
and Experiment . . . . . . . . . . . . . 393--393
Anonymous New Members . . . . . . . . . . . . . . 393--394
Ruth Curtain A Survey of Infinite-Dimensional
Filtering . . . . . . . . . . . . . . . 395--411
Fred W. Dorr The Direct Solution of the Discrete
Poisson Equation in $ O(N^2) $
Operations . . . . . . . . . . . . . . . 412--415
Karl G. Guderley A Unified View of Some Methods for Stiff
Two-Point Boundary Value Problems . . . 416--442
Carl D. Meyer, Jr. The Role of the Group Generalized
Inverse in the Theory of Finite Markov
Chains . . . . . . . . . . . . . . . . . 443--464
B. R. Myers On Spanning Trees, Weighted
Compositions, Fibonacci Numbers, and
Resistor Networks . . . . . . . . . . . 465--474
Thomas L. Saaty and
Joyce M. Alexander Optimization and the Geometry of
Numbers: Packing and Covering . . . . . 475--519
Mills B. Weinstein and
Donald R. Smith Comparison Techniques for Overdamped
Systems . . . . . . . . . . . . . . . . 520--540
Anonymous The Mathematical Training of the
Nonacademic Mathematician . . . . . . . 541--557
G. H. Handelman and
B. H. Colvin and
E. W. Hart and
A. J. Hoffman and
M. S. Klamkin and
J. J. Seidel Mathematical Training of Nonacademic
Mathematician . . . . . . . . . . . . . 541--557
Anonymous Announcement . . . . . . . . . . . . . . 558--558
Peter Henrici and
Christian Hoffmann Chess Champ's Chances: an Exercise in
Asymptotics . . . . . . . . . . . . . . 559--564
L. J. Dickson Accident Probability . . . . . . . . . . 565--565
M. L. Glasser A Singular Integral Equation . . . . . . 565--565
G. E. Andrews A Combinatorial Problem . . . . . . . . 566--566
H. J. Oser An Average Distance . . . . . . . . . . 566--566
D. K. Ross Inequalities for the Gamma Function . . 566--566
M. Golberg A Matrix Limit . . . . . . . . . . . . . 567--567
M. Goldberg Matrix Limit . . . . . . . . . . . . . . 567--567
M. W. Green and
A. J. Korsak and
M. C. Pease Simultaneous Iteration towards All Roots
of a Complex Polynomial . . . . . . . . 567--567
E. Wasserstrom An Eigenvalue Problem . . . . . . . . . 567--568
Jet Wimp Book Review: \booktitleAsymptotics and
Special Functions (F. W. J. Olver) . . . 569--575
M. E. Thompson Book Review: \booktitleMarkov Processes
and Learning Models (M. Frank Norman) 575--576
Harry Kesten Book Review: \booktitleConcentration
Functions (W. Hengartner and R.
Theodorescu) . . . . . . . . . . . . . . 576--577
Stan Cabay Book Review: \booktitleAn Analysis of
the Finite Element Method (Gilbert
Strang and George J. Fix) . . . . . . . 577--578
Paul Wm. Davis Book Review: \booktitleNonlinear and
Random Vibrations (Florea Dinca and
Christian Teodosiu) . . . . . . . . . . 578--579
Lamberto Cesari Book Review: \booktitleOptimal Control
of Differential and Functional Equations
(J. Warga) . . . . . . . . . . . . . . . 579--580
Herman Chernoff Book Review: \booktitleCluster Analysis
for Applications (Michael R. Anderberg) 580--582
Anonymous Other Books Received . . . . . . . . . . 582--586
Anonymous Treasurer's Report . . . . . . . . . . . 587--587
Anonymous Society for Industrial and Applied
Mathematics . . . . . . . . . . . . . . 588--592
George H. Handelman A Simple Model of Stability of
Structures . . . . . . . . . . . . . . . 593--604
Donald Ludwig Persistence of Dynamical Systems Under
Random Perturbations . . . . . . . . . . 605--640
Steven Pruess The Approximation of Linear Functionals
and $ h^2 $-Extrapolation . . . . . . . 641--651
Klaus Kirchgaessner Bifurcation in nonlinear hydrodynamic
stability . . . . . . . . . . . . . . . 652--683
Klaus Kirchgässner Bifurcation in Nonlinear Hydrodynamic
Stability . . . . . . . . . . . . . . . 652--683
Anonymous Announcement . . . . . . . . . . . . . . 684--684
J. Walter An Integral Inequality . . . . . . . . . 685--685
H. M. Srivastava A Series of Hypergeometric Functions . . 685--686
M. L. Glasser Limit of an Integral . . . . . . . . . . 686--686
O. G. Ruehr A Nonlinear Integral Equation . . . . . 686--686
K. B. Stolarsky and
L. J. Yang A Polynomial Inequality . . . . . . . . 686--686
I. J. Schoenberg $n$-Dimensional Simple Harmonic Motion 687--687
J. S. Lew and
R. Ghez An Integral Equation for Crystal Growth 687--690
D. H. Anderson Book Review: \booktitleBounds for the
Zero of a Polynomial (V. E. Hoggatt,
Jr.) . . . . . . . . . . . . . . . . . . 690--691
V. E. Hoggatt Bounds for Zero of a Polynomial . . . . 690--691
R. Askey Integral Inequality . . . . . . . . . . 691--693
A. R. Holt Book Review: \booktitleAn Integral
Inequality (R. Askey) . . . . . . . . . 691--693
Daniel Kleitman Book Review: \booktitleA Probabilistic
Inequality (F. W. Steutel) . . . . . . . 693--694
F. W. Steutel Probabilistic Inequality . . . . . . . . 693--694
O. P. Lossers Book Review: \booktitleA Generalization
of the Vandermonde Determinant (S.
Venit) . . . . . . . . . . . . . . . . . 694--695
S. Venit Generalization of Vandermonde
Determinant . . . . . . . . . . . . . . 694--695
C. R. Crawford Matrix Problem . . . . . . . . . . . . . 695--696
Thomas Foregger Book Review: \booktitleA Matrix Problem
(C. R. Crawford) . . . . . . . . . . . . 695--696
Harvey Cohn Book Review: \booktitleRiemann's Zeta
Function (H. M. Edwards) . . . . . . . . 697--699
Richard E. Mortensen Book Review: \booktitleSystem Theory ---
a Unified State-Space Approach to
Continuous and Discrete Time Systems
(Louis Padulo and Michael A. Arbib) . . 699--703
H. E. Reinhardt Book Review: \booktitleNonlinear
Parameter Estimation (Yonathan Bard) . . 703--704
Kenneth B. Hannsgen Book Review: \booktitleOrdinary
Differential Equations (Philip Hartman) 704--705
Morton Kupperman Book Review: \booktitleLinear
Statistical Inference and Its
Applications 2nd Edition (C.
Radhakrishna Rao) . . . . . . . . . . . 705--707
Richard Askey Book Review: \booktitleTables of Bessel
Transforms (Fritz Oberhettinger);
Fourier Expansions: a Collection of
Formulas (Fritz Oberhettinger); Fourier
Transforms of Distributions and Their
Inverses --- a Collection of Tables
(Fritz Oberhettinger); Tables of Laplace
Transforms (F. Oberhettinger and L.
Badii) . . . . . . . . . . . . . . . . . 707--712
Eugene Lukacs Book Review: \booktitleCharacterization
Problems in Mathematical Statistics (A.
M. Kagan, Yu. V. Linnik and C.
Radhakrishna Rao) . . . . . . . . . . . 712--714
J. W. Moon Book Review: \booktitleProbabilistic
Methods in Combinatorics (Paul Erd\Hos
and Joel Spencer) . . . . . . . . . . . 714--715
Roger J. B. Wets Book Review: \booktitleOptimization
Methods for Resource Allocation (Richard
Cottle and Jacob Krarup, eds.) . . . . . 715--716
Paul Waltman Book Review: \booktitleModels in Ecology
(J. Maynard Smith) . . . . . . . . . . . 716--717
Anonymous Other Books Received . . . . . . . . . . 717--719
Anonymous New Members . . . . . . . . . . . . . . 720--721
P. M. Russo and
J. N. Hanson Symbolic Optimization by Newton's Method 824--824
Elmor L. Peterson Geometric Programming . . . . . . . . . 1--51
Lila R. Elveback and
John P. Fox and
Eugene Ackerman Stochastic Simulation Models for Two
Immunization Problems . . . . . . . . . 52--61
P. A. Frost and
E. Y. Harper An Extended Padé Procedure for
Constructing Global Approximations from
Asymptotic Expansions: an Explication
with Examples . . . . . . . . . . . . . 62--91
R. E. Cline and
R. J. Plemmons $ L_2 $-Solutions to Underdetermined
Linear Systems . . . . . . . . . . . . . 92--106
Wolfgang Walter A Note on Contraction . . . . . . . . . 107--111
B. J. Matkowsky Correction . . . . . . . . . . . . . . . 112--112
Bernard J. Matkowsky Errata: On Boundary Layer Problems
Exhibiting Resonance . . . . . . . . . . 112--112
Anonymous Announcement . . . . . . . . . . . . . . 113--113
M. A. Golberg and
J. Moore Optimal Size of a Substitute Teacher
Pool . . . . . . . . . . . . . . . . . . 114--116
Michael A. Golbergt and
John Moore The Optimal Size of a Substitute Teacher
Pool . . . . . . . . . . . . . . . . . . 114--116
D. N. Berman The Game of Slash . . . . . . . . . . . 117--117
Murray Geller An Infinite Sum . . . . . . . . . . . . 117--117
S. A. Rice Three Inverse Laplace Transforms . . . . 117--118
M. S. Klamkin An $n$-th Order Linear Differential
Equation . . . . . . . . . . . . . . . . 118--118
D. J. Newman An Arithmetic Conjecture . . . . . . . . 118--118
Iwao Sugai Geometric Probability . . . . . . . . . 118--118
O. P. Lossers Book Review: \booktitleA Stability
Problem (O. Bottema) . . . . . . . . . . 118--119
C. F. Schubert Book Review: \booktitleConstrained
Minimization of an Integral Functional
(Michael H. Moors) . . . . . . . . . . . 119--120
R. Askey One-Sided Approximation to Special
Functions . . . . . . . . . . . . . . . 121--122
C. J. Bouwkamp Book Review: \booktitleGravitational
Attraction (H. R. Aggarwal) . . . . . . 123--125
C. J. Bouwkamp Gravitational Attraction . . . . . . . . 123--126
George Gasper Book Review: \booktitleTwo-Dimensional
Discrete Probability Distributions (P.
Beckmann) . . . . . . . . . . . . . . . 126--129
G. Gasper 2-Dimensional Discrete Probability
Distributions . . . . . . . . . . . . . 126--129
R. N. Hill Book Review: \booktitleFourier
Coefficients of a Function Involving
Elliptic Integrals of the First Kind (E.
O. Schulz-DuBois) . . . . . . . . . . . 130--131
Harry Pollard Book Review: \booktitleCelestial
Mechanics, Part I (Shlomo Sternberg) . . 132--132
John W. Van Ness Book Review: \booktitleMultiple Time
Series (E. J. Hannan) . . . . . . . . . 132--133
Victor Klee Book Review: \booktitleConvex Functions
(A. Wayne Roberts and Dale E. Varberg) 133--134
David Jowett Book Review: \booktitleAnalysis of
Variance in Complex Experimental Designs
(Harold R. Lindman) . . . . . . . . . . 134--137
G. B. Gustafson Book Review: \booktitleDifferential
Equations, Linear Algebra and Dynamical
Systems (Morris W. Hirsch and Stephen
Smale) . . . . . . . . . . . . . . . . . 137--138
John H. Rowland Book Review: \booktitleFloating-Point
Computation (Pat H. Sterbenz) . . . . . 138--139
Julian D. Cole Book Review: \booktitlePerturbation
Methods (Ali Hasan Nayfeh) . . . . . . . 139--140
Frank Brownell Book Review: \booktitleSpectra of
Partial Differential Operators (M.
Schechter) . . . . . . . . . . . . . . . 140--141
John J. Jarvis Book Review: \booktitleCommunication,
Transmission, and Transportation
Networks (Howard Frank and Ivan T.
Frish) . . . . . . . . . . . . . . . . . 142--142
J. Thomas King Book Review: \booktitlePolynomial
Approximation (Robert P. Feinerman and
Donald J. Newman) . . . . . . . . . . . 142--143
A. M. Fink Book Review: \booktitleNon-Linear
Differential Equations of Higher Order
(R. Reissig, G. Sansone and R. Conti) 143--144
Neal Zierler Book Review: \booktitleError Coding for
Arithmetic Processors (T. R. N. Rao) . . 144--144
Theodore Laetsch Book Review: \booktitleTheory of
Branching of Solutions of Non-Linear
Equations (M. M. Vainberg and V. A.
Trenogin) . . . . . . . . . . . . . . . 145--146
Wilfred Kaplan Book Review: \booktitleMathematics
Applied to Deterministic Problems in the
Natural Sciences (C. C. Lin and L. A.
Segel) . . . . . . . . . . . . . . . . . 146--148
John M. Perry Book Review: \booktitleDiscrete
Numerical Methods in Physics and
Engineering (Donald GreenSpan) . . . . . 148--149
A. T. Bharucha-Reid Book Review: \booktitleStochastic
Differential Equations: Theory and
Applications (Ludwig Arnold) . . . . . . 149--149
Lee J. White Book Review: \booktitleLinear Numerical
Analysis (Noel Gastinel) . . . . . . . . 149--152
Anonymous Other Books Received . . . . . . . . . . 152--154
Anonymous Chronicle . . . . . . . . . . . . . . . 155--159
James Lighthill Flagellar Hydrodynamics --- John von
Neumann Lecture, 1975 . . . . . . . . . 161--230
Ray Redheffer Differential Inequalities and
Characteristic Value Problems . . . . . 231--239
J. L. Lavoie and
T. J. Osler and
R. Tremblay Fractional Derivatives and Special
Functions . . . . . . . . . . . . . . . 240--268
J. L. Lovoie and
T. J. Osler and
R. Tremblay Fractional Derivatives and Special
Functions . . . . . . . . . . . . . . . 240--268
Jack W. Macki Applications of Change of Variables in
the Qualitative Theory of Second Order
Linear Ordinary Differential Equations 269--274
W. E. Olmstead and
R. A. Handelsman Diffusion in a Semi-Infinite Region with
Nonlinear Surface Dissipation . . . . . 275--291
E. A. Bender Correction . . . . . . . . . . . . . . . 292--292
Edward A. Bender Errata: Asymptotic Methods in
Enumeration . . . . . . . . . . . . . . 292--292
Anonymous Announcement . . . . . . . . . . . . . . 293--293
R. D. Spinetto A Facility Location Problem . . . . . . 294--295
W. Anderson, Jr. and
G. Trapp A Matrix Inequality . . . . . . . . . . 295--295
S. Venit A Matrix Stability Problem . . . . . . . 295--295
B. C. Berndt A Bessel Function Summation . . . . . . 296--296
L. Wijnberg and
M. L. Glasser A Bessel Function Series . . . . . . . . 296--296
A. S. Perelson and
C. Delisi An Infinite System of Nonlinear
Differential Equations . . . . . . . . . 296--298
R. W. Allen Idealized Optical Fiber Mode Conversion 298--300
A. S. Leslie Book Review: \booktitleIdealized Optical
Fibre Mode Conversion (R. W. Allen) . . 298--300
G. J. Simmons Book Review: \booktitleThe Regiment
Problem Revisited (G. J. Simmons) . . . 300--301
U. G. Haussmann Power-Series Expansion . . . . . . . . . 301--302
M. E. H. Ismail Book Review: \booktitleA Power Series
Expansion (U. G. Haussmann) . . . . . . 301--303
P. Barracand Combinatorial Identity . . . . . . . . . 303--304
D. R. Breach and
D. McCarthy and
D. Monk and
P. E. O'Neil Book Review: \booktitleA Combinatorial
Identity (P. Barrucand) . . . . . . . . 303--304
A. Newhouse Book Review: \booktitleThe Spectral
Radius of A Matrix (D. A. Voss) . . . . 304--306
D. A. Voss Spectral Radius of a Matrix . . . . . . 304--306
M. L. Glasser Erratum: Limit of an Integral . . . . . 306--306
Walter D. Fisher Book Review: \booktitleAn Introduction
to Applied Econometric Analysis (R. F.
Wynn and K. Holden) . . . . . . . . . . 307--307
Donald R. Snow Book Review: \booktitleFunctional
Analysis and Time Optimal Control (Henry
Hermes and Joseph P. LaSalle) . . . . . 307--308
B. A. Fleishman Book Review: \booktitleNonlinear System
Theory: a Functional Analysis Approach
(Jack M. Holtzman) . . . . . . . . . . . 308--310
Preston C. Hammer Book Review: \booktitleThe Future of
Applied Mathematics (W. Freiberger, ed.) 310--311
R. H. Moore Book Review: \booktitleCollectively
Compact Operator Approximation Theory
(Phillip M. Ansélone) . . . . . . . . . . 311--312
Peter H. Sellers Book Review: \booktitleMathematical
Structure in Human Affairs (R. H. Atkin) 312--313
Andrey Feuerverger Book Review: \booktitleThe Statistical
Analysis of Time Series (T. W. Anderson) 313--314
Nils Blomqvist Book Review: \booktitleStatistical
Techniques in Simulation, Part I (Jack
P. C. Kleijnen) . . . . . . . . . . . . 314--316
Emilio Roxin Book Review: \booktitleOptimal Control
Theory (L. D. Berkovitz) . . . . . . . . 316--316
Roger F. Wheeler Book Review: \booktitleBoolean Functions
and Equations (Sergiu Rudeanu) . . . . . 316--317
S. M. Samuels Book Review: \booktitleAlmost Sure
Convergence (William F. Stout) . . . . . 317--318
John Greenstadt Book Review: \booktitleIterative Methods
for Nonlinear Optimization Problems (S.
L. S. Jacoby, J. S. Kowalik, and J. T.
Pizzo) . . . . . . . . . . . . . . . . . 318--320
Carl D. Meyer, Jr. Book Review: \booktitleGeneralized
Inverses (Theory and Applications) (Adi
Ben--Israel and Thomas N. E. Greville) 320--322
Anonymous Other Books Received . . . . . . . . . . 322--324
Anonymous SIAM 1975 National Meeting . . . . . . . 325--349
Peter D. Lax Almost Periodic Solutions of the KdV
Equation . . . . . . . . . . . . . . . . 351--375
L. F. Shampine and
H. A. Watts and
S. M. Davenport Solving nonstiff ordinary differential
equations --- the state of the art . . . 376--411
Robert M. Miura The Korteweg--de Vries equation: a
survey of results . . . . . . . . . . . 412--459
George M. Fix Hybrid Finite Element Methods . . . . . 460--484
Anonymous Announcement . . . . . . . . . . . . . . 485--485
M. S. Klamkin On Extreme Length Flight Paths . . . . . 486--488
L. K. Arnold and
L. Dodson and
L. Rosen An Average Relative Speed Approximation 489--489
L. Carlitz Three Multiple Summations . . . . . . . 489--490
A. Berman and
M. Neumann Monotone Submatrices . . . . . . . . . . 490--490
A. Feldstein and
R. Goodman Conjecture on a Finite and an Infinite
Product . . . . . . . . . . . . . . . . 490--491
David Berman and
M. S. Klamkin A Reverse Card Shuffle . . . . . . . . . 491--492
D. W. Robinson Book Review: \booktitleIntegral
Representation for the Moore--Penrose
Generalized Inverse of a Matrix (A. D.
Ziebur) . . . . . . . . . . . . . . . . 492--492
I. D. S. Taylor and
J. G. C. Templeton Book Review: \booktitleAccident
Probability (L. J. Dickson) . . . . . . 493--493
B. C. Carlson Book Review: \booktitleA Singular
Integral Equation (M. L. Glasser) . . . 493--495
G. E. Andrews A Combinatorial Problem . . . . . . . . 495--496
A. A. Jagers Book Review: \booktitleInequalities for
the Gamma Function (D. K. Ross) . . . . 496--497
D. J. Daley Average Distance . . . . . . . . . . . . 497--500
D. J. Daley and
R. J. Vaughan Book Review: \booktitleAn Average
Distance (H. J. Oser) . . . . . . . . . 497--501
R. D. Small Book Review: \booktitleSimultaneous
Iteration Towards All Roots of a Complex
Polynomial (M. W. Green, A. J. Korsak
and M. C. Pease) . . . . . . . . . . . . 501--502
O. P. Lossers Book Review: \booktitleAn Eigenvalue
Problem (E. Wasserstrom) . . . . . . . . 502--505
R. P. Boas Book Review: \booktitleApplied and
Computational Complex Analysis (Peter
Henrici) . . . . . . . . . . . . . . . . 506--510
A. Paz Book Review: \booktitleStochastic
Automata Constructive Theory (A. A.
Lorenz) . . . . . . . . . . . . . . . . 510--511
Marlin U. Thomas Book Review: \booktitleQueueing Systems.
Volume 1: Theory (Leonard Kleinrock) . . 512--514
Hans Berliner Book Review: \booktitleComputer Chess
(Monroe Newborn) . . . . . . . . . . . . 514--515
Emanuel Parzen Book Review: \booktitleThe Spectral
Analysis of Time Series (L. H. Koopmans) 515--516
Robert E. Machol Book Review: \booktitleUrban Systems
Models (Walter Helly) . . . . . . . . . 516--517
W. A. Harris, Jr. Book Review: \booktitleIntroduction To
Singular Perturbations (Robert E.
O'Malley, Jr.) . . . . . . . . . . . . . 517--518
W. Morven Gentleman Book Review: \booktitleSolving Least
Squares Problems (Charles L. Lawson and
Richard J. Hanson) . . . . . . . . . . . 518--520
John A. Nohel Book Review: \booktitleIntegral
Equations and Stability of Feedback
Systems (C. Corduneanu) . . . . . . . . 520--526
Roger G. Newton Book Review: \booktitleThe Theory of
Relativity (R. K. Pathria) . . . . . . . 526--527
Michale A. Arbib Book Review: \booktitleGeneral Systems
Theory: Mathematical Foundations (M. D.
Mesarovi\'c and Y. Takahara) . . . . . . 527--528
A. H. Stroud Book Review: \booktitleMethods of
Numerical Integration (Philip J. Davis
and Philip Rabinowitz) . . . . . . . . . 528--529
Jeffrey R. Sampson Book Review: \booktitleAdaptation in
Natural and Artificial Systems (John H.
Holland) . . . . . . . . . . . . . . . . 529--530
Alvin M. White Book Review: \booktitleComplex Variables
(George Polya and Gordon Latta) . . . . 531--532
Paul B. Bailey Book Review: \booktitleIntegral
Equations via Imbedding Methods (Harriet
H. Kagiwada and Robert Kalaba) . . . . . 532--533
Anonymous Other Books Received . . . . . . . . . . 533--537
Anonymous Section News . . . . . . . . . . . . . . 538--538
Anonymous New Members . . . . . . . . . . . . . . 538--544
Anonymous Deaths . . . . . . . . . . . . . . . . . 544--544
Harold J. Kushner A Survey of Some Applications of
Probability and Stochastic Control
Theory to Finite Difference Methods for
Degenerate Elliptic and Parabolic
Equations . . . . . . . . . . . . . . . 545--577
G. H. Golub and
J. H. Wilkinson Ill-Conditioned Eigensystems and the
Computation of the Jordan Canonical Form 578--619
Herbert Amann Fixed Point Equations and Nonlinear
Eigenvalue Problems in Ordered Banach
Spaces . . . . . . . . . . . . . . . . . 620--709
Egon Balas and
Manfred W. Padberg Set Partitioning: a survey . . . . . . . 710--760
Anonymous Announcement . . . . . . . . . . . . . . 761--761
A. A. Jagers A Monotonicity Property for Moments . . 762--762
R. I. Joseph A Double Integral from Demagnetizing
Fields . . . . . . . . . . . . . . . . . 762--762
L. B. Bushard On the Extreme Eigenvalues of an $ n
\times n $ Matrix . . . . . . . . . . . 762--763
P. Barrucand On the Zeros of a Polynomial . . . . . . 763--763
N. Liron A Zero of Maximum Multiplicity . . . . . 763--763
M. Marsden Nonnegative Form . . . . . . . . . . . . 763--765
Martin Marsden Book Review: \booktitleA Nonnegative
Form (M. M. Gupta) . . . . . . . . . . . 763--766
I. I. Kolodner Book Review: \booktitleAn Integral
Inequality (J. Walter) . . . . . . . . . 766--767
Otto G. Ruehr Book Review: \booktitleA Series of
Hypergeometric Functions (H. M.
Srivastava) . . . . . . . . . . . . . . 767--769
O. G. Ruehr Series of Hypergeometric Functions . . . 767--769
R. A. Askey and
L. Carlitz Series of Hypergeometric Functions . . . 768--769
P. G. Kirmser Book Review: \booktitleA Nonlinear
Integral Equation (O. G. Ruehr) . . . . 769--770
O. P. Lossers Nonlinear Integral Equation . . . . . . 770--770
J. Boersma Book Review: \booktitleLimit of an
Integral (M. L. Glasser) . . . . . . . . 770--772
D. E. Amos and
A. G. Gibbs Limit of an Integral . . . . . . . . . . 772--772
A. M. Fink Book Review: \booktitle$n$-Dimensional
Simple Harmonic Motion (I. J.
Schoenberg) . . . . . . . . . . . . . . 772--773
R. W. Brockett Book Review: \booktitleBilinear Control
Processes (Ronald R. Mohler) . . . . . . 774--774
L. W. Jackson Book Review: \booktitleNumerical Methods
(Germund Dahlquist and Åke Björck) . . . . 774--776
Robert M. Miura Book Review: \booktitleLinear and
Nonlinear Waves (G. B. Whitham) . . . . 776--781
Michael Yanowitch Book Review: \booktitleIntegral
Equations (Harry Hochstadt) . . . . . . 782--782
Donald S. Cohen Book Review: \booktitleThe Mathematical
Theory of Diffusion and Reaction in
Permeable Catalysts (Rutherford Aris) 783--783
Jeffrey R. Sampson Book Review: \booktitleArtificial
Intelligence (Earl M. Hunt) . . . . . . 784--786
Bernard Harris Book Review: \booktitleProbability
Theory: a Historical Sketch (L. E.
Maistrov) . . . . . . . . . . . . . . . 786--788
Anonymous Other Books Received . . . . . . . . . . 788--789
Anonymous SIAM SIGNUM 1975 Fall Meeting . . . . . 790--835
G. B. Andeen and
C. M. Ablow and
S. H. Johnson Jet and Column Stability . . . . . . . . 792--792
R. C. Allen and
G. M. Wing Algorithm for Accelerating Convergence
of Neumann Series Associated with
Certain Integral Equations (Preliminary
Report) . . . . . . . . . . . . . . . . 792--793
R. Alter Remarks and Results on an Extension of a
Problem of Smirnov . . . . . . . . . . . 793--793
C. M. Andersen and
G. C. Darden Evaluation of Integrals for a Ten-Node
Isoparametric Tetrahedral Finite Element 793--793
E. S. Armstrong Digital Program for Optimal Regulator
Control of Linear Systems . . . . . . . 793--794
R. W. Atherton Toward a General Theory of Model
Sensitivity . . . . . . . . . . . . . . 794--794
L. L. Barinka and
K. W. Neves and
P. G. Tuttle Performance of Some Vectorized
Mathematical Software . . . . . . . . . 794--794
W. H. Barker and
D. H. Wagner Information Theory and Optimal Detection
Search . . . . . . . . . . . . . . . . . 794--794
R. D. Barnard and
I. M. Horowitz Feedback System Synthesis Based on
Fixed-Point Optimal-Aim Formulations . . 794--795
R. E. Barnhill and
C. C. Poepplemeier Interpolation Scheme to Arbitrary Data
for Computer-Aided Geometric Design . . 795--795
V. Barwell and
A. George Comparison of Algorithms for Solving
Symmetric Indefinite Systems of
Equations . . . . . . . . . . . . . . . 795--795
A. Behforooz Probabilistic Partitions and Their
Application to Pattern Recognition,
Cluster Analysis, and Classification . . 795--795
D. G. Bettis and
M. K. Horn Optimal $M$-Fold Runge--Kutta Methods 795--795
C. Blair and
R. Jeroslow Value Function of a Mixed Integer
Program I . . . . . . . . . . . . . . . 795--795
N. Bleistein and
J. K. Cohen Physical Optics Far Field Inverse
Scattering in Time Domain . . . . . . . 796--796
R. D. Braddock Extensions to Grid Refinement Technique 796--796
J. H. S. Bradley Maximizing Number of Acceptable
Eigenfunctions . . . . . . . . . . . . . 796--796
L. B. Bushard Computationally Useful Bounds for
Singular Nonlinear 2Nd Order
Boundary-Value Problems . . . . . . . . 796--796
T. F. Chan and
R. Glowinski Augmented Lagrangian Methods for Solving
Mildly Nonlinear Elliptic Equations and
Comparisons with Other Methods . . . . . 796--797
T. Y. Cheung Recent Development in Solution of
Partial-Differential Equations by Linear
Programming . . . . . . . . . . . . . . 797--797
S. B. Childs and
M. J. Maron Constrained Nonlinear Optimization ---
Direct Approach . . . . . . . . . . . . 797--797
K. Choi Asymptotic Properties of Least-Squares
Estimators for Discrete Compound
Distributions . . . . . . . . . . . . . 797--797
P. L. Chow Inverse Problem in Propagation of Noise 797--798
V. Chvatal and
C. Thomassen Distances in Orientations of Graphs . . 798--798
A. K. Cline Transformation of a Quadrative
Programming Problem into Solvable Form 798--798
J. K. Cohen and
N. Bleistein Solutions of a Class of Inverse Problems
in Acoustics and Electromagnetics . . . 798--798
B. H. Colvin What Nonacademic Mathematicians Do ---
Examples and Case Studies . . . . . . . 798--798
C. Comstock and
J. G. Taylor General Theory for Lanchester Combat
Models . . . . . . . . . . . . . . . . . 798--798
P. Concus and
R. Finn Height of a Capillary Surface . . . . . 798--799
A. R. Conn and
R. H. Bartels and
J. W. Sinclair Minimization Techniques for Piecewise
Differentiable Functions --- $ L_1 $
Solution to an Overdetermined
Linear-System . . . . . . . . . . . . . 799--799
K. L. Cooke and
J. Kaplan Periodicity Threshold Theorem for
Epidemics and Population Growth . . . . 799--799
L. Cooper and
M. W. Cooper Exact Algorithm for Nonlinear Integer
Programming . . . . . . . . . . . . . . 799--799
R. W. Cottle Special Class of Large Quadratic
Programs . . . . . . . . . . . . . . . . 799--799
G. B. Dantzig and
S. C. Parikh Assessing Physical Impact on Economy of
a Changing Energy Picture . . . . . . . 799--800
L. Debnath and
A. K. Chatterjee Nonlinear Mathematical Model of
Junctions of Tidal Rivers . . . . . . . 800--800
C. Deboor $ L_\infty $ Bound for $ L_2
$-Approximation by Splines . . . . . . . 800--800
R. J. P. Defigueiredo $ L_m $-$G$ Splines . . . . . . . . . . 800--800
J. E. Dendy Analysis of Some Alternating Direction
Methods for Some Nonlinear
Time-Dependent Problems . . . . . . . . 801--801
R. C. Diprima and
N. Liron Effect of Secondary Flow on Decaying
Oscillations of a Sphere and a Disk . . 801--801
D. A. Drew Effect of Lift Force on Stability of
Uniform Fluidization . . . . . . . . . . 801--801
R. P. Dube Univariate Blending Functions and
Alternatives . . . . . . . . . . . . . . 801--801
L. W. Ehrlich Some Experience Using Matrix Splitting
and Conjugate Gradient . . . . . . . . . 801--801
P. R. Eiseman and
H. Mcdonald and
W. R. Briley Subsonic Flows in a Curved Duct . . . . 801--801
A. Elcrat Coercivity Inequality for 2nd Order
Elliptic Systems with Applications to
Nonlinear Systems . . . . . . . . . . . 801--802
R. E. Ewing and
J. R. Cannon Determination of a Source Term in a
Linear Parabolic Partial-Differential
Equation . . . . . . . . . . . . . . . . 802--802
R. J. Fateman Macsyma Arbitrary Precision Floating
Point Arithmetic Package --- Philosophy
and an Overview of its Implementation 802--802
A. Feldstein and
J. F. Traub Asymptotic Behavior of Vector
Recurrences with Applications . . . . . 802--802
C. A. Felippa Constraint Definition Techniques in
Solution of Discrete Boundary-Value
Problems . . . . . . . . . . . . . . . . 802--803
J. Flynn Steady-State Policies in Dynamic
Programming --- General Case . . . . . . 803--803
C. Fordlivene Mathematical Model of Kinetics of Coal
Carbonization to Coke and Volatile
By-Products . . . . . . . . . . . . . . 803--803
D. W. Fox and
V. G. Sigillito Steady-State Oscillations in a Buoyant
Fluid . . . . . . . . . . . . . . . . . 803--803
L. W. Fullerton Nearly Best Uniform Rational
Approximations . . . . . . . . . . . . . 803--804
R. E. Funderlic and
R. E. Cline What Makes Rank of a Matrix Change . . . 804--804
T. M. Gallie and
M. N. Morrow Calculation of Moore--Penrose
Pseudoinverse . . . . . . . . . . . . . 804--804
D. M. Gay Implementing Brown's Method . . . . . . 804--804
J. H. George Mathematical Problems Arising in Insitu
Retorting of Oil Shale . . . . . . . . . 804--804
M. Ghil Analytical Results on Initialization in
Numerical Weather Prediction . . . . . . 804--805
M. A. Golberg Some New Numerical Methods for Solving
Convolution Integral Equations . . . . . 805--805
M. J. Goldstein Further Comparison of Floating Point
Summation Methods . . . . . . . . . . . 805--805
R. W. Golland Method for Solving Ill-Conditioned
Linear Equation Problem . . . . . . . . 805--806
G. H. Golub and
M. Heath and
G. Wahba Cross Validation and Optimum Ridge
Regression . . . . . . . . . . . . . . . 806--806
R. Goodman and
A. Feldstein Effect of Guard Digits and Normalization
Options on Floating Point Multiplication 806--806
R. J. Hangelbroek and
C. G. Lekkerkerker Decompositions of a Hilbert Space and
Factorization of a W-A Determinant . . . 806--806
E. Hansen and
M. Patrick Estimating Multiplicity of a Root . . . 807--807
R. J. Hanson Poorly Posed Problems of Data Fitting
and Integral Equations of 1st Kind in
One and Two Variables . . . . . . . . . 807--807
C. A. Harvey Independent Parameters in Quadratic
Performance Indexes . . . . . . . . . . 807--807
L. Hayes and
D. M. Young and
E. Schleicher Use of Accelerated SSOR Method to Solve
Large Linear Systems . . . . . . . . . . 808--808
M. T. Heath Some Aspects of Interval Estimation for
Ill-Posed Problems . . . . . . . . . . . 808--808
F. Hendricks Computations of Resonant Wave
Interactions in Blasius Flow . . . . . . 808--808
G. A. Hewer Stabilization of Subspaces of
Time-Varying Linear Systems . . . . . . 808--808
C. O. Horgan and
L. T. Wheeler Exponential Decay Estimates for 2Nd
Order Quasilinear Elliptic Equations . . 808--809
B. L. Hulme Graph Theoretic Models of Theft Problems 809--809
Nguyenmanhhung Optimal Growth, Investment Decision and
Depletion of a Replenishable Resource 809--809
C. Hunter Integral Equation Solvable by Use of a
Stieltjes Transform . . . . . . . . . . 809--810
Y. Ikebe Computing Zeros of Bessel and Regular
Coulomb Wave Functions and of Their
Derivatives by Matrix Theoretic Approach
--- Practical Accuracy Criteria . . . . 810--810
R. G. Jeroslow Some Structure and Basis Theorems for
Integral Monoids . . . . . . . . . . . . 810--810
O. G. Johnson and
J. L. Stiles Best Ellipsoidal Bounds for Tracking
Problem Sensitivity . . . . . . . . . . 810--810
G. W. Johnson and
R. G. Underwood Controllability of Differential
Equations with Phase Constraints . . . . 810--810
W. M. Kahan Pitfalls in Ill-Posed Problems . . . . . 810--811
D. K. Kahaner and
M. B. Wells Algorithm for $N$-Dimensional Adaptive
Quadrature . . . . . . . . . . . . . . . 811--811
T. Kailath and
L. Ljung New Approach to Solution of Linear
Integral Equations with Non-Displacement
Kernels . . . . . . . . . . . . . . . . 811--811
D. W. Kammler Numerical Evaluation of Exp(At) When a
is a Companion Matrix . . . . . . . . . 811--811
R. M. Karp Probabilistic Models of Combinatorial
Optimization Methods . . . . . . . . . . 811--811
I. N. Katz Conforming Triangular Finite Elements of
Arbitrary Polynomial Order . . . . . . . 811--812
L. Kaufman and
J. R. Bunch Algorithm for Computing a Decomposition
for Symmetric Matrices for Solving
Linear Systems and Calculating Inertia 812--812
G. M. Kaufman and
E. Barouch Estimating Undiscovered Oil and Gas . . 812--812
R. E. Kleinman and
T. S. Angell Optimization of Radiated Power in an
Angular Sector . . . . . . . . . . . . . 812--812
K. O. Kortanek Constructing a Perfect Duality for
Semi-Infinite Programming and
Generalized Linear Programming . . . . . 812--813
G. A. Kriegsmann Application of Method of Geometrical
Optics to Scattering of Plane
Electromagnetic Waves off Cylindrically
Confined Cold Plasmas . . . . . . . . . 813--813
B. J. Krohn and
K. Fox Cholesky Decomposition of Symmetric
Idempotent Matrices . . . . . . . . . . 813--813
R. J. Krueger and
J. P. Dauer Iterative Approach to Goal Programming 813--813
W. T. Kyner Oscillator Variables in Orbital
Mechanics . . . . . . . . . . . . . . . 813--813
B. C. Lanzano Viking Interpretive Flight Dynamics
Simulation Program . . . . . . . . . . . 813--814
P. Lanzano Recursion Formulas for Appell
Hypergeometric Series of 1st Kind and
Their Application to an Astrophysical
Problem . . . . . . . . . . . . . . . . 814--814
J. L. Lassez Circular Codes and Synchronization . . . 814--814
J. Lavita and
W. Loehr Time-Dependent, Non-Paretian, Policy
Dictated Moves . . . . . . . . . . . . . 814--814
R. B. Leipnik Explicit Solution of Matrix Riccati
Differential Equation in Non-Commuting
Case . . . . . . . . . . . . . . . . . . 814--815
A. Lempel and
M. Cohn and
W. L. Eastman New Class of Balanced Binary Sequences
with Optimal Autocorrelation Properties 815--815
J. W. Lewis B-Spline Bases for Splines Under
Tension, V-Splines, and Fractional Order
Splines . . . . . . . . . . . . . . . . 815--815
C. C. Lin Academic Activities in Applied
Mathematics . . . . . . . . . . . . . . 815--815
B. S. Lugue and
B. W. Rust and
W. Vanwinkle Problem of Determining Length of
Prediction Error Filter in Maximum
Entropy Spectral Analysis . . . . . . . 815--816
R. Y. S. Lynn and
M. L. Levitan Overdetermined Linear-System . . . . . . 816--816
N. K. Madsen and
J. I. Karush and
G. H. Rodrigue Matrix Multiplication by Diagonals on
Vector-Parallel Processors . . . . . . . 816--816
S. R. Mallory and
D. F. Stubbs Comparison of Algorithms for Solution of
Dense Linear Systems . . . . . . . . . . 816--816
L. J. Mancini and
D. J. Wilde Generating Kuhn--Tucker Regions in
Nonlinear Programming with Interval
Arithmetic . . . . . . . . . . . . . . . 816--816
L. Mansfield Approximation of Boundary in
Finite-Element Solution of 4th Order
Problems . . . . . . . . . . . . . . . . 816--817
S. A. Maslowe and
D. J. Benney Amplitude Evolution Equation for
Nonlinear Waves in Parallel Shear Flows 817--817
C. W. Mastin and
J. F. Thompson Generation of Curvilinear Coordinate
Systems and Control of Coordinate Line
Spacing . . . . . . . . . . . . . . . . 817--817
B. J. Matkowsky and
J. Grasman Variational Approach to Boundary-Layer
Problems and Resonance for Ordinary and
Partial-Differential Equations . . . . . 817--817
G. T. Mcallister and
S. M. Rohde Increasing Integrals of Solutions of
Some Distributed Control Problems . . . 817--817
B. Mcneill and
D. J. Wilde Sufficient Conditions for Global Minimum
of a Signomial by Construction of Lower
Bounding Functions . . . . . . . . . . . 817--818
R. R. Meyer Integer Programming --- Possibilities
and Impossibilities . . . . . . . . . . 818--818
G. H. Meyer Locally One-Dimensional Methods for
Multidimensional Parabolic Free-Surface
Problems . . . . . . . . . . . . . . . . 818--818
O. W. Miller Use of Multiple Regression in Developing
Work Measurement Standards --- Proposed
Application . . . . . . . . . . . . . . 818--818
J. J. More and
M. Cosnard Numerical Comparison of Nonlinear
Equation Solvers . . . . . . . . . . . . 818--818
A. Morgan and
K. S. Narendra Uniform Asymptotic Stability of Linear
Nonautonomous Equation $ X = - U(T)
U(T)' X $ . . . . . . . . . . . . . . . 818--818
J. A. Morrison High-Frequency Approximations for
Elastic Surface Waves Propagating Along
Cylinders of General Cross Section . . . 818--819
G. M. Muller Averaging Spline Operators and Digital
Filtering . . . . . . . . . . . . . . . 819--819
A. Nachman and
A. Callegari Analytical Solution of a Nonlinear,
Singular Boundary-Value Problem in
Theory of Pseudoplastic Fluids . . . . . 819--819
L. Nazareth Relationship Between BFGS Algorithm and
Conjugate Gradient Algorithm . . . . . . 819--819
P. Nelson and
I. T. Elder Calculation of Eigenfunctions by
Integration to Blow-Up . . . . . . . . . 820--820
A. C. Newell Long Waves Short Waves --- Solvable
Model . . . . . . . . . . . . . . . . . 820--820
X. X. Newhall Concise Numerical Representation of
Planetary Ephemerides . . . . . . . . . 820--820
T. A. Newton Classification Procedure for Phase
Portrait of Two-Dimensional Homogeneous
Quadratic Differential System . . . . . 820--820
G. M. Nielson Interactive Curve Design Using
$V$-Splines . . . . . . . . . . . . . . 820--821
W. E. Olmstead Extent of Leftward Solution Branch in
Bifurcation Problems . . . . . . . . . . 821--821
C. C. Paige Computational Technique for Estimation
and Control . . . . . . . . . . . . . . 821--821
A. Parthasarathy and
R. M. Evaniwanowski Almost-Sure Stability of Linear
Stochastic-Systems . . . . . . . . . . . 821--821
M. Patrick and
E. Hansen Family of Iterative Root-Finding Methods 821--821
E. L. Peterson Dual Variational Principles for
Predicting Economic Equilibria . . . . . 822--822
D. T. Piele and
M. W. Firebaugh and
R. J. Manulik Applications of Conformal Mapping to
Potential Theory Through Computer
Graphics . . . . . . . . . . . . . . . . 822--822
A. Pridor Method of Moments for Solving Transport
Problems . . . . . . . . . . . . . . . . 822--822
A. Proskurowski and
M. Overton Finding Maximal Incidence Matrix of a
Large Graph . . . . . . . . . . . . . . 822--822
L. J. Putnick and
B. J. Matkowsky and
E. L. Reiss Secondary Bifurcations of Nonlinear
Plate Vibrations . . . . . . . . . . . . 823--823
E. R. Rang Transmission of Bands of Infrared
Radiation . . . . . . . . . . . . . . . 823--823
J. N. Reddy Mixed-Hybrid Finite-Element
Approximations of Biharmonic Equation 823--823
G. R. Richter Numerical Solution of Elliptic
Differential Equations as Integral
Equations of 1st Kind . . . . . . . . . 823--823
G. Rodrigue and
J. Karush and
N. Madsen Having Fun with Band Matrices on a
Vector Processor . . . . . . . . . . . . 823--823
D. J. Rose Aspects of Combinatorial Numerical
Analysis . . . . . . . . . . . . . . . . 823--824
J. B. Rosen Applications of an Interactive Graphical
System to Boundary-Value Problems and
Optimization . . . . . . . . . . . . . . 824--824
B. W. Rust Constrained Interval Estimation for
Ill-Posed Problems . . . . . . . . . . . 824--825
A. H. Sameh and
D. J. Kuck Stable Parallel Linear-System Solvers 825--825
A. Sangiovannivincentelli Bipartite Graphs and Nonsymmetric
Permutations on Sparse Matrices . . . . 825--826
M. Saunders Nonlinear Optimization Subject to
Linear-Programming Constraints . . . . . 825--826
C. W. Schelin Numerical Evaluation of Argument
Principle . . . . . . . . . . . . . . . 826--826
R. Schreiber Numerical Methods for Singular Two-Point
Boundary-Value Problems . . . . . . . . 826--826
L. H. Seitelman Efficient Numerical Method for Solution
of Three-Dimensional Incompressible
Potential Flow Problems . . . . . . . . 826--826
S. M. Serbin Solution of Matrix Pencil Systems . . . 826--826
L. F. Shampine and
M. K. Gordon Qn --- Root Solving Code . . . . . . . . 826--826
T. J. Sheskin Merging States in a Markov-Chain with
Known Steady-State Probabilities . . . . 827--827
R. I. Shrager Implementing Marquardts Algorithm Using
Singular Value Decomposition . . . . . . 827--827
A. S. C. Sinha New Concept in Attitude Control of AMCD
Spacecraft . . . . . . . . . . . . . . . 827--827
R. Skeel and
A. Kong Imitating Multi-Derivative Multistep
Formulas . . . . . . . . . . . . . . . . 827--827
M. Slemrod Asymptotic Behavior of a Vibrating
Membrane with Nonlinear Boundary Damping
--- Application of Theory of Nonlinear
Semigroups . . . . . . . . . . . . . . . 827--828
D. Slepian and
E. N. Gilbert Doubly Orthogonal Concentrated
Polynomials . . . . . . . . . . . . . . 828--828
J. Soukup Algorithm for a Straight-Line
Representation of Planar Graphs and its
Application to PERT-Type Networks . . . 828--828
F. W. Stallman Integral Bounds Derived from Inversion
of Integral Equations . . . . . . . . . 828--828
F. Stenger and
W. Petrick and
Z. Rotsides Algorithm for Computing Electromagnetic
Scattered Field from an
Axially-Symmetric Body with an Impedance
Boundary Condition . . . . . . . . . . . 828--829
G. W. Stewart Detecting and Correcting Rank Degeneracy 829--829
D. R. Stoutemyer Analytical Solution of Integral
Equations, Using Computer Algebra . . . 829--829
O. N. Strand Some Aspects of Behavior of Regularized
Solutions as Amount of Smoothing is
Varied . . . . . . . . . . . . . . . . . 829--829
A. Sundstrom Formulation of Numerical Boundary
Conditions for Subsonic Fluid-Flow
Problems at High Reynolds Numbers . . . 830--830
R. Tapia Quasi-Newton Methods for Constrained
Optimization . . . . . . . . . . . . . . 830--830
S. Thompson Optimally Stable Corrector Methods . . . 830--830
A. S. C. Ting Error Bounds on Discretized Quasi-Newton
Methods . . . . . . . . . . . . . . . . 830--830
K. W. Tu Real-Time Flow Network Computational
Problem in Power Generating Systems
Simulation . . . . . . . . . . . . . . . 830--831
P. G. Tuttle and
R. L. Brown Implementation of Selected Eigenvalue
Algorithms on a Vector Computer . . . . 831--831
A. Ulkucu Random Polyhedra in Mathematical
Programming . . . . . . . . . . . . . . 831--831
R. G. Underwood Gradient Projection Method for Solving
Continuous Games . . . . . . . . . . . . 831--831
J. Vagners and
R. D. Neal Optimal Laser Heating of a Magnetically
Confined Plasma . . . . . . . . . . . . 831--832
J. M. Varah Methods for Numerical Solution of Linear
Discrete Ill-Posed Problems . . . . . . 832--832
H. D. Victory and
P. Nelson Measures on Phase Space as Solutions of
One-Dimensional Neutron-Transport
Equation . . . . . . . . . . . . . . . . 832--832
J. R. Walton Question of Uniqueness for Dual Integral
Equations of Titchmarsh Type . . . . . . 832--832
R. C. Ward Numerical Computation of Matrix
Exponential . . . . . . . . . . . . . . 832--833
P. A. Wedin and
B. Ekenberg Ill-Conditioned Nonlinear
Parameter-Estimation Problems . . . . . 833--833
D. J. Wilde Mathematical Properties of Engineering
Design Optimization Problems . . . . . . 833--833
S. S. Wilson and
A. C. Buckingham Vaporizing Droplet in a Convective Field 833--833
L. O. Wilson Wave Propagation in Hexagonal $ 622 $ or
$6$ mm Piezoelectric Fibers . . . . . . 833--833
J. A. Wixom Blending-Function Interpolation over
Non-Rectangular Domains . . . . . . . . 834--834
S. Yakowitz and
E. Schuster Nonparametric Regression with
Application to System Identification . . 834--834
D. F. Young Control of Linear Volterra--Stieltjes
Equations . . . . . . . . . . . . . . . 834--834
S. M. Yousif and
W. W. Happ Representation of Generalized Operator
in Linear-System Theory . . . . . . . . 834--834
H. C. Yuen and
W. E. Ferguson and
P. G. Saffman Model Equation for Breaking and
Capillary Wave Generation by Steep
Gravity Wave . . . . . . . . . . . . . . 834--835
N. R. Zitron Continuous Model of Optimal-Cost Routes
in a Circular City . . . . . . . . . . . 835--835
Anonymous New Members . . . . . . . . . . . . . . 836--841
Anonymous Deaths . . . . . . . . . . . . . . . . . 841--841
G. Zelmer On Interpolating Polynomials of Minimal
Degree . . . . . . . . . . . . . . . . . 1--4
Åke Björck and
Gene H. Golub Eigenproblems for Matrices Associated
with Periodic Boundary Conditions . . . 5--16
G. H. Meyer One-Dimensional Parabolic Free Boundary
Problems . . . . . . . . . . . . . . . . 17--34
R. P. Tewarson Use of Smoothing and Damping Techniques
in the Solution of Nonlinear Equations 35--45
J. E. Dennis, Jr. and
Jorge J. Moré Quasi-Newton Methods, Motivation and
Theory . . . . . . . . . . . . . . . . . 46--89
C. P. Neuman and
D. I. Schonbach Evaluation of Sums of Convolved Powers
Using Bernoulli Numbers . . . . . . . . 90--99
Jane Cronin Some Mathematics of Biological
Oscillations . . . . . . . . . . . . . . 100--138
Anonymous Announcement . . . . . . . . . . . . . . 139--139
A. W. Bush and
M. Cross and
R. D. Gibson The Monitoring of Airborne Dust and Grit 140--145
P. W. Karlson A Gaussian Hypergeometric Function
Identity . . . . . . . . . . . . . . . . 146--146
R. A. Waller and
M. S. Waterman Percentiles for the Gamma Distribution 146--146
P. J. Schweitzer A Definite Integral of N. Bohr . . . . . 147--147
A. Ungar Solutions to Linear Partial Differential
Equations Involving Arbitrary Functions 147--148
M. L. Glasser A Conjectured Increasing Infinite Series 148--148
L. Wijnberg and
M. L. Glasser A Bessel Function Series . . . . . . . . 148--148
D. J. Wilson Book Review: \booktitleThe Game of Slash
(D. N. Berman) . . . . . . . . . . . . . 149--150
W. B. Jordan Book Review: \booktitleAn Infinite Sum
(Murray Geller) . . . . . . . . . . . . 150--152
Iwao Sugai Geometric Probability . . . . . . . . . 152--154
P. Erd\Hos Book Review: \booktitleAn Arithmetic
Conjecture (D. J. Newman) . . . . . . . 154--155
L. C. Andrews Book Review: \booktitleAn $n$-th Order
Linear Differential Equation (M. S.
Klamkin) . . . . . . . . . . . . . . . . 155--155
S. Zlobec Book Review: \booktitleNonlinear
Programming (Bela Martos) . . . . . . . 156--158
George H. Weiss Book Review: \booktitleA First Course in
Stochastic Processes, 2nd sd. (Samuel
Karlin and Howard M. Taylor) . . . . . . 158--159
Williams T. Reid Book Review: \booktitleVariational
Analysis: Critical Extremals and
Sturmian Extensions (Marston Morse) . . 159--164
W. E. Olmstead Book Review: \booktitleSimilarity
Methods for Differential Equations (G.
W. Bluman and J. D. Cole) . . . . . . . 164--165
John A. Nohel Book Review: \booktitleEquations with
Transformed Argument (D.
Przeworska-Rolewicz) . . . . . . . . . . 165--166
Kenneth R. Meyer Book Review: \booktitleLinear
Differential Equations with Periodic
Coefficients (V. A. Yakubovich and V. M.
Starzhinskii) . . . . . . . . . . . . . 166--167
Ashim Mallik Book Review: \booktitleSequential
Statistical Procedure (Z. Govindarajulu) 167--168
William J. LeVeque Book Review: \booktitleUniform
Distribution of Sequences (L. Kuipers
and H. Niederreiter) . . . . . . . . . . 168--169
K. K. Lee Book Review: \booktitleClassical
Electrodynamics 2nd Ed. (John David
Jackson) . . . . . . . . . . . . . . . . 169--170
Preston C. Hammer Book Review: \booktitlePopular Lectures
in Mathematics (Izaak Wirszup, ed.);
Inversions(I. Ya. Bakel'Man);
\booktitleNumber Systems (S. V. Fomin);
\booktitleThe Application of Mechanics
to Geometry (B. Yu. Kogan);
\booktitleWhat is Distance? (Yu. A.
Shreider); \booktitleThe Monte Carlo
Method (I. M. Sobol');
\booktitlePascal's Triangle (V. A.
Uspenskii) . . . . . . . . . . . . . . . 170--172
William L. Brogan Book Review: \booktitleApplied Optimal
Estimation (Arthur Gels, ed.) . . . . . 172--175
E. F. Assmus, Jr. Book Review: \booktitleThe Mathematical
Theory of Coding (Ian F. Blake and
Ronald C. Mullin) . . . . . . . . . . . 175--176
Anonymous Other Books Received . . . . . . . . . . 176--179
Anonymous New Journals . . . . . . . . . . . . . . 179--180
Anonymous New Members . . . . . . . . . . . . . . 181--187
E. Balas Correction . . . . . . . . . . . . . . . U1--U1
H. J. Kushner Correction . . . . . . . . . . . . . . . U1--U1
René Thom Structural Stability, Catastrophe
Theory, and Applied Mathematics . . . . 189--201
George M. Ewing Sufficient Conditions for Global Minima
of Suitably Convex Functionals from
Variational and Control Theory . . . . . 202--220
Stanley P. Gudder Convexity and Mixtures . . . . . . . . . 221--240
Arvid T. Lonseth Sources and Applications of Integral
Equations . . . . . . . . . . . . . . . 241--278
C. M. Haaland and
E. P. Wigner Defense of Cities by Anti-Ballistic
Missiles . . . . . . . . . . . . . . . . 279--296
Robert H. Kupperman and
Harvey A. Smith The Role of Population Defense in Mutual
Deterrence . . . . . . . . . . . . . . . 297--318
Anonymous Announcement . . . . . . . . . . . . . . 319--319
C. K. Wong and
Kai-Ching C. Chu Average Distances in $ L_p $ Disks . . . 320--324
George Corliss Which Root Does the Bisection Algorithm
Find? . . . . . . . . . . . . . . . . . 325--327
L. A. Sheep A Boundedness Condition . . . . . . . . 328--328
J. E. Wilkins, Jr. An Integral Inequality . . . . . . . . . 328--328
M. L. Glasser A Definite Integral . . . . . . . . . . 329--329
M. S. Klamkin A Two Point Triangle Inequality . . . . 329--329
I. J. Schoenberg A Triangle Inequality . . . . . . . . . 329--329
M. H. Moore and
W. Anderson and
G. Trapp and
E. H. Lieb Matrix Inequality . . . . . . . . . . . 329--330
M. H. Moore Book Review: \booktitleA Matrix
Inequality (W. Anderson, Jr. and G.
Trapp) . . . . . . . . . . . . . . . . . 329--331
A. R. Curtis Book Review: \booktitleA Matrix
Stability Problem (S. Venit) . . . . . . 331--332
A. R. Curtis and
S. Venit Matrix Stability Problem . . . . . . . . 331--332
L. Wijnberg and
M. L. Glasser A Bessel Function Series . . . . . . . . 332--333
P. Levy and
B. C. Berndt Bessel Function Summation . . . . . . . 333--334
P. Levy Book Review: \booktitleA Bessel Function
Summation (B. C. Berndt) . . . . . . . . 333--335
Lajos Takács Book Review: \booktitleEinführung in die
Bedienungstheorie (B. W. Gnedenko and I.
N. Kowalenko) . . . . . . . . . . . . . 336--336
Richard J. Schaar Book Review: \booktitleGlobal Theory of
a Second Order Linear Ordinary
Differential Equation with a Polynomial
Coefficient (Yasutaku Sibuya) . . . . . 336--338
David S. Rubin Book Review: \booktitleInteger
Programming: Theory, Applications, and
Computations (Hamdy A. Taha) . . . . . . 338--339
H. E. Reinhardt Book Review: \booktitleTheory of
Probability, Vol. 1 (Bruno de Finetti) 339--341
M. Z. Nashed Book Review: \booktitleAn Algorithmic
Approach to Nonlinear Analysis and
Optimization (Edward J. Beltrami); The
Approximate Minimization of Functionals
(James W. Daniel); Approximate Methods
in Optimization Problems (Vladimir F.
Demyanov and Aleksandr M. Rumnov);
Computational Methods in Optimization: a
Unified Approach (E. Polak); Necessary
Conditions for an Extremum (N.
Pshenichnyi) . . . . . . . . . . . . . . 341--358
Robert T. Moore Book Review: \booktitleLinear Analysis
and Representation Theory (Steven A.
Gaal) . . . . . . . . . . . . . . . . . 358--361
Bernard O. Koopman Book Review: \booktitleTheory of Optimal
Search (Lawrence D. Stone) . . . . . . . 361--364
Deborah Tepper Haimo Book Review: \booktitleThe Heat Equation
(D. V. Widder) . . . . . . . . . . . . . 364--365
Wendell H. Fleming Book Review: \booktitleStochastic
Differential Equations and Applications,
Vol. 1 (Avner Friedman) . . . . . . . . 366--367
Wendell H. Fleming Book Review: \booktitleStochastic
Differential Equations and Applications,
Vol. 2 (Avner Friedman) . . . . . . . . 367--368
Mark J. Ablowitz Book Review: \booktitleNonlinear Waves
(Sidney Leibovich and A. Richard
Seebass) . . . . . . . . . . . . . . . . 368--369
Anonymous Other Books Received . . . . . . . . . . 369--371
Anonymous Other Journals Received . . . . . . . . 371--371
Anonymous SIAM 1976 National Meeting . . . . . . . 372--401
Raimond A. Struble Analytical and Algebraic Aspects of the
Operational Calculus . . . . . . . . . . 403--436
A. D. Alawneh and
R. P. Kanwal Singularity Methods in Mathematical
Physics . . . . . . . . . . . . . . . . 437--471
S. Barnett and
D. D. Siljak Routh's Algorithm: a Centennial Survey 472--489
Paul N. Swarztrauber The Methods of Cyclic Reduction, Fourier
Analysis and the FACR Algorithm for the
Discrete Solution of Poisson's Equation
on a Rectangle . . . . . . . . . . . . . 490--501
David J. Wollkind Singular Perturbation Techniques: a
Comparison of the Method of Matched
Asymptotic Expansions with that of
Multiple Scales . . . . . . . . . . . . 502--516
A. G. Mackie An Example from Mechanics Illustrating
Classical and Modern Mathematical
Techniques . . . . . . . . . . . . . . . 517--535
Jerome Spanier The Claremont Mathematics Clinic . . . . 536--549
J. Spanier Education in Applied Mathematics ---
Claremont Mathematics Clinic . . . . . . 536--550
Anonymous Announcement . . . . . . . . . . . . . . 550--550
David A. Sánchez Populations and Harvesting . . . . . . . 551--553
A. A. Goldstein Optimal Temperament . . . . . . . . . . 554--562
Peter Flor Conjectured Inequalities . . . . . . . . 563--563
Danny Newman A Coin Tossing Problem . . . . . . . . . 563--563
Ilia Kaufman A Property of the First Erlang Function 564--564
G. K. Kristiansen A Matrix Convergence Problem . . . . . . 564--564
I. Cahit A Conjectured Minimum Valuation Tree . . 564--565
W. B. Jordan Book Review: \booktitleAn Average
Relative Speed Approximation (L. K.
Arnold , L. Dodson and L. Rosen) . . . . 565--567
D. R. Breach Book Review: \booktitleThree Multiple
Summations (L. Carlitz) . . . . . . . . 567--568
P. M. Gibson Book Review: \booktitleMonotone
Submatrices (A. Berman) . . . . . . . . 568--569
Izak Z. Bouwer Book Review: \booktitleAlgebraic Graph
Theory (Norman Biggs) . . . . . . . . . 570--571
Ruth R. Shen Book Review: \booktitleMacroeconomic
Theory (Paul Burrows and Theodore
Hitiris) . . . . . . . . . . . . . . . . 571--572
Julian D. Cole Book Review: \booktitlePerturbation
Methods in Fluid Mechanics (Milton Van
Dyke) . . . . . . . . . . . . . . . . . 572--572
Martin Davis Book Review: \booktitleAlgorithms and
Recursive Functions (A. I. Mal'cev) . . 573--573
A. O. Pittenger Book Review: \booktitleIntroduction to
Stochastic Processes (Erhan Çinlar) . . . 573--575
Hans Sagan Book Review: \booktitleSingular Optimal
Control Problems (D. J. Bell and D. H.
Jacobson) . . . . . . . . . . . . . . . 575--576
Michael B. Histand Book Review: \booktitleMathematical
Biofluiddynamics (James Lighthill) . . . 576--577
L. L. Campbell Book Review: \booktitleOn Measures of
Information and Their Characterizations
(J. Aczél and Z. Daróczy) . . . . . . . . 577--579
Gary H. Meisters Book Review: \booktitleUnitary
Representations and Harmonic Analysis
(Mitsuo Sugiura) . . . . . . . . . . . . 579--582
Donald A. Ludwig Book Review: \booktitleThe Wave Equation
on a Curved Space-Time (F. G.
Friedlander) . . . . . . . . . . . . . . 582--583
Mark A. Pinsky Book Review: \booktitleStochastic
Calculus and Stochastic Models (E. J.
McShane) . . . . . . . . . . . . . . . . 583--584
Emilio O. Roxin Book Review: \booktitlePursuit Games
(Otomar Hajek) . . . . . . . . . . . . . 584--585
Anonymous Other Books Received . . . . . . . . . . 585--585
Anonymous New Members . . . . . . . . . . . . . . 586--591
Anonymous Death . . . . . . . . . . . . . . . . . 591--591
Robert M. Miura Errata: The Korteweg--de Vries
Equations: a Survey of Results . . . . . vi--vi
Herbert Amann Errata: Fixed Point Theorems and
Nonlinear Eigenvalue Problems in Ordered
Banach Spaces . . . . . . . . . . . . . vii--vii
Wiktor Eckhaus Formal Approximations and Singular
Perturbations . . . . . . . . . . . . . 593--633
G. W. Stewart On the Perturbation of Pseudo-Inverses,
Projections, and Linear Least Squares
Problems . . . . . . . . . . . . . . . . 634--662
Mark J. Ablowitz Nonlinear Evolution Equations,
Continuous and Discrete . . . . . . . . 663--684
Suresh P. Sethi Dynamic Optimal Control Models in
Advertising: a Survey . . . . . . . . . 685--725
Anonymous Announcement . . . . . . . . . . . . . . 726--726
R. C. Grimson The Pig House Problem or the Detection
and Measurement of Pairwise Associations 727--731
L. E. Thomas A Model for Drug Concentration . . . . . 732--735
L. Carlitz A System of Second Order Differential
Equations . . . . . . . . . . . . . . . 736--736
I. Rubinstein A First Order Nonlinear Differential
Equation . . . . . . . . . . . . . . . . 736--736
A. M. Liebetrau An Infinite Summation . . . . . . . . . 736--737
P. Barrucand Two Inequalities . . . . . . . . . . . . 737--737
I. Nåsell When is the Modified Bessel Function
Equal to Its Derivative? . . . . . . . . 737--737
L. J. Yang Book Review: \booktitleA Polynomial
Inequality (K. B. Stolarsky and L. J.
Yang) . . . . . . . . . . . . . . . . . 737--739
D. E. Knuth Book Review: \booktitleA Reverse Card
Shuffle (David Berman and M. S. Klamkin) 739--740
D. E. Knuth Reverse Card Shuffle . . . . . . . . . . 739--741
I. Olkin Book Review: \booktitleA Monotonicity
Property for Moments (A. A. Jagers) . . 741--742
Dennis C. Jespersen Book Review: \booktitleOn the Extreme
Eigenvalues of an $ n \times n $ Matrix
(L. B. Bushard) . . . . . . . . . . . . 742--743
D. C. Jespersen Extreme Eigenvalues of an Nxn Matrix . . 742--743
w. B. Jordan Book Review: \booktitleA Zero of Maximum
Multiplicity (N. Liron and L. A.
Rubenfeld) . . . . . . . . . . . . . . . 743--744
W. B. Jordan Zero of Maximum Multiplicity . . . . . . 743--744
Ralph A. Willoughby Book Review: \booktitleFourier Analysis
of Time Series: an Introduction (Peter
Bloomfield) . . . . . . . . . . . . . . 745--746
Patrick Suppes Book Review: \booktitleSyntactic Methods
in Pattern Recognition (K. S. Fu) . . . 746--746
Howard Reinhardt Book Review: \booktitleTheoretical
Statistics (D. R. Cox and D. V. Hinkley) 746--747
F. Oberhettinger Book Review: \booktitleContinuum
Mechanics of Viscoelastic Liquids (R. R.
Huilgol) . . . . . . . . . . . . . . . . 747--749
Wilfred Kaplan Book Review: \booktitleOrdinary
Differential Equations in the Complex
Domain (Einar Hills) . . . . . . . . . . 749--749
Robert Hermann Book Review: \booktitleTreatise on
Analysis, Vol. IV (J. Dieudonné) . . . . 750--750
Jane Cullum Book Review: \booktitleOptimization
Theory; The Finite Dimensional Case
(Magnus R. Hestenes) . . . . . . . . . . 750--752
Nils Blomqvist Book Review: \booktitleStatistical
Techniques in Simulation, Part II (Jack
P. C. Kleijnen) . . . . . . . . . . . . 752--753
Michael A. Arbib Book Review: \booktitleApplications of
Fuzzy Sets to Systems Analysis (C. V.
Negoita and R. A. Ralescu) . . . . . . . 753--753
Anonymous Other Books Received . . . . . . . . . . 754--758
Anonymous SIAM 1976 Fall Meeting . . . . . . . . . 759--783
Anonymous New members . . . . . . . . . . . . . . 784--785
Anonymous Society for Industrial and Applied
Mathematics . . . . . . . . . . . . . . 786--789
Anonymous Treasurer's Report . . . . . . . . . . . 790--790
R. M. Miura Correction . . . . . . . . . . . . . . . R6--R6
H. Amann Correction . . . . . . . . . . . . . . . R7--R7
Anonymous In Memoriam --- Fritz Joachim Weyl . . . vi--vi
Alice Whittemore and
Joseph B. Keller Quantitative Theories of Carcinogenesis 1--30
R. Burridge and
J. B. Keller Peeling, Slipping and Cracking --- Some
One-Dimensional Free-Boundary Problems
in Mechanics . . . . . . . . . . . . . . 31--61
Jean-Michel M. Bismut An Introductory Approach to Duality in
Optimal Stochastic Control . . . . . . . 62--78
L. A. Rubenfeld On a Derivative-Expansion Technique and
Some Comments on Multiple Scaling in the
Asymptotic Approximation of Solutions of
Certain Differential Equations . . . . . 79--105
T. Kailath and
A. Vieira and
M. Morf Inverses of Toeplitz Operators,
Innovations, and Orthogonal Polynomials 106--119
Tyre A. Newton Two Dimensional Homogeneous Quadratic
Differential Systems . . . . . . . . . . 120--138
To-Yat Y. Cheung Recent Developments in the Numerical
Solution of Partial Differential
Equations by Linear Programming . . . . 139--167
Anonymous Announcement . . . . . . . . . . . . . . 168--168
Mohamed El-Hodiri A Simple Proof of the Ramsey Savings
Equation . . . . . . . . . . . . . . . . 169--170
M. Elhodiri Simple Proof of Ramsey Savings Equation 169--170
Shaul P. Ladany and
Jagbir Singh On Maximizing the Probability of Jumping
over a Ditch . . . . . . . . . . . . . . 171--177
M. L. Glasser and
S. G. Davison A Bundling Problem . . . . . . . . . . . 178--180
J. S. Lew Approximate Invariance of Disc Averages 181--182
J. C. Cavendish and
W. W. Meyer Two Recurrence Relations for Hermite
Basis Polynomials . . . . . . . . . . . 182--182
H. L. Langhaar and
R. E. Miller A Conjecture on Determinants . . . . . . 182--182
Chin-Bing Ling Evaluation of Weierstrass Zeta Functions 183--183
C. L. Mallows Minimizing an Integral . . . . . . . . . 183--183
R. Silber Book Review: \booktitleThe Game of Slash
(D. N. Berman) . . . . . . . . . . . . . 183--184
W. B. Jordan Book Review: \booktitleA Double Integral
from Demagnetizing Fields (R. I. Joseph) 184--186
A. Meir Book Review: \booktitlePercentiles for
the Gamma Distribution (R. A. Waller and
M. S. Waterman) . . . . . . . . . . . . 186--187
M. E. H. Ismail Book Review: \booktitleA Gaussian
Hypergeometric Function Identity (P. W.
Karlsson) . . . . . . . . . . . . . . . 187--188
D. E. Amos Book Review: \booktitleA Definite
Integral of N. Bohr (P. J. Schweitzer) 188--190
W. Allegretto Book Review: \booktitleSolutions to
Linear Partial Differential Equations
Involving Arbitrary Functions (A. Ungar) 190--191
Frank H. Clarks Book Review: \booktitleConvex Analysis
and Variational Problems (Ivar Ekeland
and Roger Temam) . . . . . . . . . . . . 192--194
W. J. Cody Book Review: \booktitleMathematical
Functions and Their Approximations
(Yudell L. Luke) . . . . . . . . . . . . 194--195
George J. Fix Book Review: \booktitleA Rational Finite
Element Basis (Eugene L. Wachpress) . . 195--196
H. I. Freedman Book Review: \booktitleCalculator
Calculus (George McCarty) . . . . . . . 196--197
Susan Friedlander Book Review: \booktitleRheometry (K.
Walters) . . . . . . . . . . . . . . . . 197--198
R. P. Gilbert Book Review: \booktitlePartial
Differential Equations in the Complex
Domain (D. L. Colton) . . . . . . . . . 198--200
Howard E. Reinhardt Book Review: \booktitleTheory of
Probability: a Critical Introductory
Treatment, Vol. 2 (Bruno de Finetti) . . 200--201
Ingram Olkin Book Review: \booktitleVariational
Methods in Statistics (Jagdish S.
Rustagi) . . . . . . . . . . . . . . . . 201--202
S. R. Bernfeld Book Review: \booktitleNonlinear
Operators and Differential Equations in
Banach Spaces (Robert H. Martin, Jr.) 202--204
Ikuyo Kaneko Book Review: \booktitleNonlinear
Programming (Mordecai Avriel) . . . . . 204--205
Anonymous Other Books Received . . . . . . . . . . 205--208
Anonymous New Members . . . . . . . . . . . . . . 209--212
Anonymous Erratum . . . . . . . . . . . . . . . . 212--212
J. Schroder $M$-Matrices and Generalizations Using
an Operator Theory Approach . . . . . . 213--244
Johann Schröder M-Matrices and Generalizations Using an
Operator Theory Approach . . . . . . . . 213--244
D. G. Aronson A Comparison Method for Stability
Analysis of Nonlinear Parabolic Problems 245--264
J. B. Díaz Mathematical Prolegomena to Every Theory
of Homogeneous Heat Engines . . . . . . 265--277
M. L. Balinski and
H. P. Young The Jefferson Method of Apportionment 278--284
C. A. Swanson A Dichotomy of PDE Sturmian Theory . . . 285--300
A. Inselberg Cochlear Dynamics: The Evolution of a
Mathematical Model . . . . . . . . . . . 301--351
Martin Golubitsky An Introduction to Catastrophe Theory
and Its Applications . . . . . . . . . . 352--387
Anonymous Announcement . . . . . . . . . . . . . . 388--388
H. Barclay and
P. van den Driesschei Deterministic Population Models and
Stability . . . . . . . . . . . . . . . 389--393
John Haigh On a Poisson Process . . . . . . . . . . 394--394
Peter Shor A Combinatorial Identity . . . . . . . . 394--394
Timo Leipälä Average Distance in a Unit Cube . . . . 394--395
W. Aiello and
T. V. Narayana A Variant of Silverman's Board of
Directors Problem . . . . . . . . . . . 395--395
J. E. Wilkins, Jr. An Integral Inequality . . . . . . . . . 396--398
L. A. Shepp A Boundedness Condition . . . . . . . . 398--399
W. J. Blundon Book Review: \booktitleA Triangle
Inequality (I. J. Schoenberg) . . . . . 399--400
M. S. Klamkin A Two Point Triangle Inequality . . . . 400--401
Stuart S. Antman Book Review: \booktitleBifurcation
Problems in Nonlinear Elasticity (R. W.
Dickey) . . . . . . . . . . . . . . . . 402--402
Michael A. Arbib Book Review: \booktitleIntroduction to
the Theory of Fuzzy Subsets, Vol. 1 (A.
Kaufmann) . . . . . . . . . . . . . . . 402--403
Wilfred Kaplan Book Review: \booktitleIntroduction to
the Theory of Infinitesimals (J. D.
Stroyan and W. A. J. Luxemburg) . . . . 403--403
Roland E. Larson Book Review: \booktitleDynamic
Programming and Stochastic Control
(Dimitri P. Bertsekas) . . . . . . . . . 403--404
Richard Laing Book Review: \booktitleAdaptive
Information Processing (Jeffrey R.
Sampson) . . . . . . . . . . . . . . . . 404--405
Hans Sagan Book Review: \booktitleOptimization
(Lucien W. Neustadt) . . . . . . . . . . 405--405
Larry L. Schumaker Book Review: \booktitleStudies in Spline
Functions and Approximation Theory
(Samuel Karlin, Charles A. Micchelli,
Allan Pinkus and I. J. Schoenberg) . . . 406--407
Burton Wendroff Book Review: \booktitleAn Introduction
to the Mathematical Theory of Finite
Elements (J. T. Oden and J. N. Reddy) 407--408
Ralph A. Willoughby Book Review: \booktitleConstruction of
Integration Formulas for Initial Value
Problems (P. J. Van Der Houwen) . . . . 408--409
D. H. Sattinger Book Review: \booktitleThe Hopf
Bifurcation and Its Applications (J. E.
Marsden and M. McCracken) . . . . . . . 410--412
Anonymous Other Books Received . . . . . . . . . . 412--416
Anonymous SIAM 1977 National Meeting . . . . . . . 417--441
Beresford N. Parlett Progress in Numerical Analysis . . . . . 443--456
Robert Endre Tarjan Complexity of Combinatorial Algorithms 457--491
R. E. Moore Bounding Sets in Function Spaces with
Applications to Nonlinear Operator
Equations . . . . . . . . . . . . . . . 492--512
Stuart S. Antman and
Gerald Rosenfeld Global Behavior of Buckled States of
Nonlinearly Elastic Rods . . . . . . . . 513--566
R. J. Serfling Some Elementary Results on Poisson
Approximation in a Sequence of Bernoulli
Trials . . . . . . . . . . . . . . . . . 567--579
William T. Reid A Historical Note on the Maximum
Principle . . . . . . . . . . . . . . . 580--582
Anonymous Announcement . . . . . . . . . . . . . . 583--583
Anonymous Classroom Notes in Applied Mathematics 583--583
John S. Lew and
James C. Frauenthal and
Nathan Keyfitz On the Average Distances in a Circular
Disc . . . . . . . . . . . . . . . . . . 584--592
A. V. Boyd An Integral of an Elliptic Function . . 593--593
N. Megiddo Edge Three-Coloring of Tournaments . . . 593--593
T. D. Rogers Expected Values for Random Regions of a
Circle . . . . . . . . . . . . . . . . . 594--594
P. J. Schweitzer Spectral Analysis of a Matrix . . . . . 594--594
R. Shantaram Two Equal Determinants . . . . . . . . . 594--594
D. Slepian Evaluation of a Determinant . . . . . . 594--594
M. L. Glasser A Definite Integral . . . . . . . . . . 595--596
R. D. Foley and
J. C. Butcher Book Review: \booktitleA Coin Tossing
Problem (Danny Newman) . . . . . . . . . 597--598
O. G. Ruehr Book Review: \booktitleConjectured
Inequalities (Peter Flor) . . . . . . . 598--599
W. B. Jordan Book Review: \booktitleA Property of the
First Erlang Function (Ilia Kaufman) . . 599--601
F. R. K. Chung Book Review: \booktitleA Conjectured
Minimum Valuation Tree (I. Cahit) . . . 601--604
D. Himmelblau Book Review: \booktitleMathematical
Programming Methods (G. Zoutendijk) . . 605--606
Alan F. Karr Book Review: \booktitleMarkov Chains:
Theory and Applications (Dean L.
Isaacson and Richard W. Madsen) . . . . 606--607
Neal Zierler Book Review: \booktitleAn Introduction
to Algebraic and Combinatorial Coding
Theory (Ian F. Blake and Ronald C.
Mullin) . . . . . . . . . . . . . . . . 607--608
B. Asner Book Review: \booktitleOrdinary and
Delay Differential Equations (R. D.
Driver) . . . . . . . . . . . . . . . . 608--609
Bernard Harris Book Review: \booktitleThe Life and
Times of the Central Limit Theorem
(William J. Adams) . . . . . . . . . . . 609--610
Richard F. Datko Book Review: \booktitleTheory of
Functional Differential Equations (Jack
Hale) . . . . . . . . . . . . . . . . . 610--612
Robert Hermann Book Review: \booktitleSingular and
Degenerate Cauchy Problems (R. W.
Carroll and R. E. Showalter) . . . . . . 612--613
Edward Butz Book Review: \booktitleBiochemical
Systems Analysis. A Study of Function
and Design in Molecular Biology (Michael
A. Savageau) . . . . . . . . . . . . . . 613--615
Anonymous Other Books Received . . . . . . . . . . 615--616
Anonymous SIAM 1977 Fall Meeting . . . . . . . . . 617--637
S. R. Alani and
R. S. Alsalihi Time-Series Analysis for Lowest
Temperature . . . . . . . . . . . . . . 619--619
W. F. Ames Evolution of Singularities for
Non-Linear Hyperbolic Equations in
Multidimensional Spaces . . . . . . . . 619--619
H. C. Andrews Numerical Analysis in Digital Image
Processing . . . . . . . . . . . . . . . 619--619
E. S. Angel Image Restoration and Image Models . . . 619--619
S. K. Arora Algorithm to Find Semi-Linear Sets
Representing Context Free Languages . . 619--619
J. H. Avila and
P. Concus Update Methods for Highly Structured
Systems of Non-Linear Equations . . . . 619--619
M. J. Balas Feedback Control of Linear Diffusion
Processes . . . . . . . . . . . . . . . 620--620
T. W. Bardavid Bettis Methods --- Solving Differential
Equation by Linear Multistep Methods
that Know Physics . . . . . . . . . . . 620--620
D. G. Bettis Efficient Embedded Runge--Kutta Method
of Orders One Through 6 . . . . . . . . 620--620
S. W. Brady and
A. Elcrat Some Results on a Postori Estimation for
Approximate Solutions of 2Nd Order
Elliptic Problems . . . . . . . . . . . 620--620
M. Burlakoff Mathematical Science Library Written in
a High-Order Language . . . . . . . . . 620--620
J. W. Burrows Failure Detector False Alarm Rates . . . 620--621
B. L. Buzbee Large-Scale Scientific Computing at Los
Alamos . . . . . . . . . . . . . . . . . 621--621
A. Celmins Critical Review of One-Dimensional Tube
Flow Equations . . . . . . . . . . . . . 621--621
Y. F. Chang and
G. Corliss Solving a Nonhomogeneous Tricomi
Equation with Taylor Series . . . . . . 621--621
B. Childs and
M. J. Maron Numerical Solution of a Class of Control
Problems . . . . . . . . . . . . . . . . 621--621
K. P. Chong Derivation of Relaxation Data from Creep
Tests, for Small Strains . . . . . . . . 621--622
C. W. Clark Models for Renewable Natural-Resource
Management . . . . . . . . . . . . . . . 622--622
F. H. Clarke Optimal Control and True Hamiltonian . . 622--622
R. E. Cline Drazin Inverse for Rectangular Matrices 622--622
P. Concus and
W. Proskurowski Numerical Solution of Buckley--Leverett
Equation by Random Choice Method . . . . 622--622
J. E. Cope and
B. W. Rust Generalization of Ridge Regression
Methods to Interval Estimation . . . . . 622--622
G. Corliss Numerical Solution of ODEs in Complex
Plane Pole Vaulting . . . . . . . . . . 623--623
J. Cullum Simultaneous Computation of Largest and
Smallest Eigenvalues and Corresponding
Eigenvectors of Large, Symmetric
Matrices . . . . . . . . . . . . . . . . 623--623
J. C. Diaz and
D. Archer Collocation-Galerkin Method for 1st
Order Hyperbolic Equations . . . . . . . 623--623
R. P. Dube and
J. Brown Smooth Interpolation with Vertex
Functions . . . . . . . . . . . . . . . 623--623
W. H. Enright Efficient Solution of Linear Constant
Coefficient Systems of ODEs . . . . . . 623--623
M. W. Feldman and
L. C. Sforza Theoretical Connections Between
Biological and Cultural Evolution . . . 623--623
A. Feldstein and
R. M. Firestone Order of Convergence for Vector
Recurrences . . . . . . . . . . . . . . 623--624
C. A. Felippa Local Iterative Procedures for Improving
Penalty Function Solutions of
Finite-Element Systems . . . . . . . . . 624--624
A. H. Fluellen Conroy Method of Multidimensional
Integration for Multiple-Scattering
Problems . . . . . . . . . . . . . . . . 624--624
C. Fordlivene and
S. T. Seo Optimal Control of Infestations in
Harvested Fruits via Dynamic Programming 624--624
A. Friedman Optimal Stopping Problems in Stochastic
Control . . . . . . . . . . . . . . . . 624--624
D. M. Gay Some Convergence Properties of Broyden
Method . . . . . . . . . . . . . . . . . 624--624
J. Geer Electrostatic Field About a Thin Disk 625--625
J. L. Goffin Subgradient Optimization and Relaxation
Method . . . . . . . . . . . . . . . . . 625--625
M. A. Golberg and
J. A. Fromme Projection Methods for a Class of
Operator Equations with Applications to
Some Singular Integral Equations . . . . 625--625
R. Goodman and
J. Bustoz and
A. Feldstein Improved Trailing Digits Estimates
Applied to Optimal Computer Arithmetic 625--625
D. Gottlieb Topics in Numerical Spectral Methods . . 625--625
A. Greenbaum and
P. Dubois and
G. Rodrigue Approximating Inverse of a Matrix for
Use in Iterative Algorithms on Vector
Processors . . . . . . . . . . . . . . . 625--626
F. B. Hanson and
H. C. Tuckwell Analysis of a Differential-Delay
Equation, Singular at Both End-Points 626--626
U. G. Haussmann Numerical Approximation of Stochastic
Optimal Controls . . . . . . . . . . . . 626--626
R. Hersh Higher-Order Approximations for $ C_0 $
Semigroups in Banach-Spaces . . . . . . 626--626
D. L. Hicks and
M. M. Madsen Accuracy Property for One-Dimensional
Lagrangean Hydrodynamic Difference
Schemes . . . . . . . . . . . . . . . . 626--626
J. E. Hirsh Solution for Stream-Function in an
Irregular Domain Using a Fast Direct
Method . . . . . . . . . . . . . . . . . 626--627
W. E. Hoover and
J. S. Frame Some Multidimensional Quadrature
Formulas Using Partial Derivatives . . . 627--627
M. K. Horn Extensions of Runge--Kutta Algorithm to
Treat Rejected Steps and Data Output
Efficiently . . . . . . . . . . . . . . 627--627
D. Hough Whats Wrong with Wilkinson Polynomial 627--627
Y. Ikebe Perturbation Theorems for Matrix
Eigenvalues . . . . . . . . . . . . . . 627--627
R. V. Jean Growth and Entropy . . . . . . . . . . . 627--627
S. Jensen Large Numerical Problems in Structural
Mechanics . . . . . . . . . . . . . . . 627--628
R. L. Johnston and
R. Mathon Computation of Electric Dipole Fields in
Stratified Conducting Media . . . . . . 628--628
H. Kagiwada and
R. Kalaba Team Theory and Extension of
Sobolev--Bellman--Krein Formula for
Fredholm Resolvents . . . . . . . . . . 628--628
D. W. Kammler $ L_1 $ Approximation of Completely
Monotonic Functions by Sums of
Exponentials . . . . . . . . . . . . . . 628--628
I. N. Katz Hierarchical, Complete, Conforming
Tetrahedral Elements of Arbitrary
Polynomial Order . . . . . . . . . . . . 628--628
B. L. Kirk and
B. W. Rust Maximum Entropy Spectral Analysis of
Biological Population Time Series . . . 628--628
D. A. Klip Empirical Data for Base-30 Integer GCD
Algorithm Relative to Classical
Euclidean Algorithm . . . . . . . . . . 628--628
A. J. Krener Singular Optimal Control --- Analysis,
Synthesis and Applications . . . . . . . 629--629
R. J. Krueger and
J. P. Dauer Multiobjective Optimization Model . . . 629--629
C. L. Lawson Estimating Slopes for $ C_1 $ Surface
Interpolation . . . . . . . . . . . . . 629--629
R. B. Leipnik Dirichlet Series for Quadratic
Difference Equations . . . . . . . . . . 629--629
A. Leonard Computing Fluid Motions with Vortex
Elements . . . . . . . . . . . . . . . . 629--629
F. F. Little and
R. E. Barnhill Surfaces and How to Find Them . . . . . 629--630
J. W. Longley Subroutine for Avoiding Catastrophic
Round-Off in Solution of Large Matrices 630--630
P. Lu and
P. E. Rubbert and
F. T. Johnson Solving a Large System of Non-Linear
Equations Arising from a Theoretical
Model of an Aerodynamics Problem . . . . 630--630
A. Manitius and
A. W. Olbrot Feedback Control of Linear Retarded
Systems via Finite Spectrum Assignment 630--630
C. W. Mastin and
J. F. Thompson and
A. Ghosh and
T. H. Fu Application of Three-Dimensional
Harmonic Transformations in Solution of
Fluid-Flow Problems . . . . . . . . . . 630--630
D. W. Matula and
P. Kornerup Distribution of Numbers Representable in
Finite Precision Number Systems . . . . 630--630
S. F. Mccormick Simultaneous Optimization of Rayleigh
Quotient for Computing a Few Extremal
Solutions of $ A x = \Lambda B x $ . . . 630--631
G. N. Minerbo Ment --- Maximum Entropy Algorithm for
Computerized Axial Tomography . . . . . 631--631
J. A. Morrison Combinatorial Lemma and its Application
to Concentrating Trees of Discrete-Time
Queues . . . . . . . . . . . . . . . . . 631--631
T. Nanya and
Y. Tohma Universal Multicode STT State
Assignments for Asynchronous Sequential
Machines . . . . . . . . . . . . . . . . 631--631
K. W. Neves and
F. A. Hale Design of Software for Solving Delay
Differential Equations . . . . . . . . . 631--631
P. J. Nikolai USA Standard Fortran Implementation of
Simultaneous Iteration for Real
Diagonizable Matrices . . . . . . . . . 631--632
F. W. J. Olver New Approach to Error Arithmetic . . . . 632--632
B. N. Parlett and
W. Hoffman New Proof of Global Convergence for
Tridiagonal $ Q L $ Algorithm . . . . . 632--632
F. R. Payne and
L. A. Lemmerman Large-Scale Eigen-Structures of
Turbulent-Shear Flows --- Dual Strategy
for Prediction and Measurement of
Stochastic Fields . . . . . . . . . . . 632--632
I. Pohl Improvements to Dinitz--Karzanov Network
Flow Algorithm . . . . . . . . . . . . . 633--633
A. Pridor and
R. C. Diprima and
J. T. Stuart Stability of Spiral Flow . . . . . . . . 633--633
S. Pruess Alternatives to Exponential Spline in
Tension . . . . . . . . . . . . . . . . 633--633
J. D. Ramshaw Numerical Methods for Multidimensional
Fluid-Dynamics Problems . . . . . . . . 633--633
F. Reifler Optimal Orthogonal Control Law for
Maximizing Terminal Missile Speed . . . 633--633
P. J. Roache Direct Solution of Variable Coefficient
Elliptic Equations in 3 Dimensions . . . 633--634
A. Ruhe and
B. Kagstrom Numerical Computation of Matrix
Functions . . . . . . . . . . . . . . . 634--634
J. G. Sanderson and
G. N. Minerbo Reconstruction of a Source from a Few (2
or 3) Projections . . . . . . . . . . . 634--634
L. H. Seitelman New User-Transparent End Condition for
Cubic Spline Data Fitting . . . . . . . 634--634
L. H. Sibul and
G. Adomian Symmetrized Solutions for Non-Linear
Stochastic Differential Equations . . . 634--634
R. D. Skeel Scaling Systems of Linear Equations . . 634--634
W. V. Snyder and
F. T. Krogh Comparison of Software for Numerical
Quadrature . . . . . . . . . . . . . . . 634--634
R. C. J. Somerville Current Status of Large-Scale Numerical
Weather Prediction . . . . . . . . . . . 635--635
J. W. Starner and
W. L. Shepherd Efficient Inverse Distribution Type
Normal Random Number Generator . . . . . 635--635
J. P. Thomas and
S. L. Passman Exact Dalembert Solutions of
Navier--Stokes Equations . . . . . . . . 635--635
A. H. Treadway Comparison of Numerical Methods for
Multicomponent Radionuclide Ion
Migration in Adsorbing Media . . . . . . 635--635
D. Trigiante Some Comparison Result Useful in
Numerical Analysis . . . . . . . . . . . 635--635
E. Turkel High-Order Methods for Large-Scale
Problems . . . . . . . . . . . . . . . . 635--636
R. G. Underwood Null Controllability of Neutral
Differential Equations . . . . . . . . . 636--636
W. H. Vandevender Stability of an Invariant Imbedding
Algorithm for Numerical Solution of
Two-Point Boundary-Value Problems . . . 636--636
C. Van Loan and
G. H. Golub Solving Unsymmetric Positive Definite
Linear Systems . . . . . . . . . . . . . 636--636
V. N. Vatsa and
J. E. Harris Minimization of Grid-Point Requirements
for Solution of Boundary-Layer Equations 636--636
H. F. Walker and
B. C. Peters Iterative Procedure for Obtaining
Maximum-Likelihood Estimates of
Parameters for a Mixture of Normal
Distributions . . . . . . . . . . . . . 636--636
R. A. Willoughby and
C. A. Micchelli Functions Which Preserve Class of
Stieltjes Matrices . . . . . . . . . . . 636--637
L. O. Wilson Flow Between a Stationary and a Rotating
Disk with Suction . . . . . . . . . . . 637--637
S. Yakowitz and
J. Krimmel and
F. Szidarovszky Weighted Monte--Carlo Integration . . . 637--637
H. C. Yuen and
W. E. Ferguson 2-Dimensional Non-Linear Schrödinger
Equation with Hyperbolic Spatial
Operator . . . . . . . . . . . . . . . . 637--637
N. J. Zabusky and
G. S. Deem Contour Dynamics for Inviscid
Incompressible Two-Dimensional Flows . . 637--637
David L. Russell Controllability and Stabilizability
Theory for Linear Partial Differential
Equations: Recent Progress and Open
Questions . . . . . . . . . . . . . . . 639--739
Don Heller A Survey of Parallel Algorithms in
Numerical Linear Algebra . . . . . . . . 740--777
Donald E. Amos Evaluation of Some Cumulative
Distribution Functions by Numerical
Quadrature . . . . . . . . . . . . . . . 778--800
C. Moler and
C. Vanloan 19 Dubious Ways to Compute Exponential
of a Matrix . . . . . . . . . . . . . . 801--836
Cleve Moler and
Charles Van Loan Nineteen Dubious Ways to Compute the
Exponential of a Matrix . . . . . . . . 801--836
S. P. Gudder Correction . . . . . . . . . . . . . . . 837--837
Stanley P. Gudder Erratum: ``Convexity and mixtures''
(SIAM Rev. \bf 19 (1977), no. 2,
221--240) . . . . . . . . . . . . . . . 837--837
C. C. Lin Education of Applied Mathematicians . . 838--845
Anonymous Announcement . . . . . . . . . . . . . . 846--846
Anonymous Classroom Notes in Applied Mathematics 846--846
David A. Peters Optimum Design of a Hydraulic Cushion
Unit . . . . . . . . . . . . . . . . . . 847--849
D. E. Raeside and
W. K. Chu and
P. A. N. Chandraratna Medical Application of Fourier Analysis 850--854
M. L. Glasser A Definite Integral . . . . . . . . . . 855--855
J. S. Lew Paul Bunyan's Washline . . . . . . . . . 855--855
A. Meir An Integral Inequality . . . . . . . . . 855--855
L. A. Shepp and
A. M. Odlyzko A Probabilistic Inequality . . . . . . . 855--855
B. J. Hollingsworth Problem 76-17 . . . . . . . . . . . . . 856--856
M. S. Klamkin A Volume Inequality for a Pair of
Associated Simplexes . . . . . . . . . . 856--856
I. W. Saunders Book Review: \booktitlePercentiles for
the Gamma Distribution (R. A. Waller and
M. S. Waterman) . . . . . . . . . . . . 856--856
R. A. Waller and
M. S. Waterman Percentiles for Gamma Distribution . . . 856--856
C. Givens and
G. K. Kristiansen Matrix Convergence Problem . . . . . . . 857--857
C. Givens Book Review: \booktitleA Matrix
Convergence Problem (G. K. Kristiansen) 857--858
W. W. Meyer and
I. Rubinstein 1st Order Non-Linear
Differential-Equation . . . . . . . . . 858--858
W. W. Meyer Book Review: \booktitleA First Order
Nonlinear Differential Equation (I.
Rubinstein) . . . . . . . . . . . . . . 858--859
C. Givens Book Review: \booktitleA System of
Second Order Differential Equations (L.
Carlitz) . . . . . . . . . . . . . . . . 859--859
C. Givens and
L. Carlitz System of 2Nd Order Differential
Equations . . . . . . . . . . . . . . . 859--859
A. M. Liebetrau An Infinite Summation . . . . . . . . . 859--861
M. L. Glasser Book Review: \booktitleWhen is the
Modified Bessel Function Equal to Its
Derivative? (I. Nasell) . . . . . . . . 862--862
M. L. Glasser and
I. Nasell When is Modified Bessel Function Equal
to its Derivative . . . . . . . . . . . 862--862
Anonymous Corrigenda . . . . . . . . . . . . . . . 863--863
James S. Meditch Book Review: \booktitleState-Space
Methods for Control Systems (F. Csaki) 864--865
Paul J. Rago and
George M. Van Dyne Book Review: \booktitleMathematical
Bioeconomics: The Optimal Management of
Renewable Resources (Colin W. Clark) . . 865--867
Jagdish Chandra Book Review: \booktitleQuasilinear
Hyperbolic Systems and Waves (A.
Jeffrey) . . . . . . . . . . . . . . . . 867--868
Judah Rosenblatt Book Review: \booktitleHandbook of
Statistical Distributions (Jagdish K.
Patel, C. H. Kapadia and D. B. Owen,
eds.) . . . . . . . . . . . . . . . . . 868--869
L. W. Beineke Book Review: \booktitleChemical
Applications of Graph Theory (A. T.
Balaban, ed.) . . . . . . . . . . . . . 869--870
R. P. Boas Book Review: \booktitleApplied and
Computational Complex Analysis (Peter
Henrici) . . . . . . . . . . . . . . . . 871--871
Peter J. Denning Book Review: \booktitleDecomposability.
Queueing and Computer System
Applications (P. J. Courtois) . . . . . 871--873
Joseph H. Engel Book Review: \booktitleElementary
Systems Mathematics (Robert E. Machol) 873--873
Richard Askey Book Review: \booktitleMultiple
Hypergeometric Functions and
Applications (Harold Exton) . . . . . . 874--875
Anonymous Other Books Received . . . . . . . . . . 876--878
Anonymous New Members . . . . . . . . . . . . . . 879--886
Anonymous Treasurer's Report . . . . . . . . . . . 887--887
L. F. Shampine and
C. W. Gear A User's View of Solving Stiff Ordinary
Differential Equations . . . . . . . . . 1--17
Gabriella Salinetti and
Roger J.-B. B. Wets On the Convergence of Sequences of
Convex Sets in Finite Dimensions . . . . 18--33
J. M. Yohe Implementing Nonstandard Arithmetics . . 34--56
Allen D. Ziebur New Directions in Linear Differential
Equations . . . . . . . . . . . . . . . 57--70
Avner Friedman Optimal Stopping Problems in Stochastic
Control . . . . . . . . . . . . . . . . 71--80
Colin W. Clark Mathematical Models in the Economics of
Renewable Resources . . . . . . . . . . 81--99
J. M. Varah A Practical Examination of Some
Numerical Methods for Linear Discrete
Ill-Posed Problems . . . . . . . . . . . 100--111
P. J. Davis and
J. A. Anderson Non-Analytic Aspects of Mathematics and
Their Implication for Research and
Education . . . . . . . . . . . . . . . 112--127
Philip J. Davis and
James A. Anderson Nonanalytic Aspects of Mathematics and
Their Implication for Research and
Education . . . . . . . . . . . . . . . 112--127
Anonymous Announcement . . . . . . . . . . . . . . 128--128
E. R. Muller Ice Breaking with an Air Cushion Vehicle 129--135
Edward A. Bender A Driving Hazard Revisited . . . . . . . 136--138
A. E. Barkauskas and
D. W. Bange A Determinant . . . . . . . . . . . . . 139--139
G. Efroymson and
A. Steger and
S. Steinberg A Matrix Eigenvalue Problem . . . . . . 139--139
I. Lux An Inequality . . . . . . . . . . . . . 139--139
K. L. McAvaney A Maximum Number of Matrices . . . . . . 139--140
L. Erlebach and
O. Ruehr Asymptotic Behavior of a Sequence . . . 140--140
P. Barraucand and
W. B. Jordan Two Inequalities . . . . . . . . . . . . 140--143
W. B. Jordan Book Review: \booktitleTwo Inequalities
(P. Barraucand) . . . . . . . . . . . . 140--143
J. C. Cavendish and
W. W. Meyer and
A. Sharma and
K. K. Mather Two Recurrence Relations for Hermite
Basis Polynomials . . . . . . . . . . . 143--144
A. Sharma and
K. K. Mathur Book Review: \booktitleTwo Recurrence
Relations for Hermite Basis Polynomials
(J. C. Cavendish and W. W. Meyer) . . . 143--144
C. Givens and
D. G. Cantor Book Review: \booktitleA Conjecture on
Determinants (H. L. Langhaar and R. E.
Miller) . . . . . . . . . . . . . . . . 144--146
H. L. Langhaar and
R. E. Miller and
C. Gzven and
G. D. Cantor Conjecture on Determinants . . . . . . . 144--146
Chih-Bing B. Ling Evaluation of Weierstrass Zeta Functions 146--147
Sam Saunders Book Review: \booktitleMathematical
Models for the Study of Reliability of
Systems (A. Kaufman, D. Grouchko and R.
Groun) . . . . . . . . . . . . . . . . . 148--148
Preston C. Hammer Book Review: \booktitleMathematical
Ideas, Modelling and Applications (Z. A.
Melzak) . . . . . . . . . . . . . . . . 148--149
Wendell H. Fleming Book Review: \booktitleProbability
Methods for Approximations in Stochastic
Control and Elliptic Equations (Harold
J. Kushner) . . . . . . . . . . . . . . 149--150
Jeffrey R. Sampson Book Review: \booktitleTheory of
Modelling and Simulation (Bernard P.
Zeigler) . . . . . . . . . . . . . . . . 150--153
Anonymous Other Books Received . . . . . . . . . . 153--154
Anonymous New Members . . . . . . . . . . . . . . 155--156
Frank H. Clarke Optimal Control and the True Hamiltonian 157--166
R. Glowinski and
O. Pironneau Numerical Methods for the First
Biharmonic Equation and for the
Two-Dimensional Stokes Problem . . . . . 167--212
Avner Friedman Time Dependent Free Boundary Problems 213--221
Lajos Takács Fluctuation Problems for Bernoulli
Trials . . . . . . . . . . . . . . . . . 222--228
Joseph B. Keller Progress and Prospects in the Theory of
Linear Wave Propagation . . . . . . . . 229--245
Anonymous Announcement . . . . . . . . . . . . . . 246--246
John C. Sommerer The Toy Airplane Catastrophe . . . . . . 247--251
J. A. Lewis Post-Furnace Drawdown of Glass Fiber . . 252--255
O. Hájek Super-Controllability . . . . . . . . . 256--256
L. B. Klebanov A Functional Equation . . . . . . . . . 256--256
Chih-Bing Ling A Hyperbolic Series Identity . . . . . . 257--257
N. R. Pereira Fourier Series for a Combination of
Jacobian Elliptic Functions . . . . . . 257--257
Y. P. Sabharwal and
J. Kumar Credibility Functions . . . . . . . . . 257--257
Peter Shor and
Otto G. Ruehr Book Review: \booktitleA Combinatorial
Identity (Peter Shor) . . . . . . . . . 258--260
Timo Leipälä Average Distance in a Unit Cube . . . . 260--263
Kenneth B. Hannsgen Book Review: \booktitleNonlinear
Ordinary Differential Equations (D. W.
Jordan and P. Smith) . . . . . . . . . . 264--264
Harry Hochstadt Book Review: \booktitleDifferential
Equations and Their Applications, 2nd
edition (Martin Braun) . . . . . . . . . 264--266
Ralph A. Willoughby Book Review: \booktitleSolutions of
Ill-Posed Problems (A. N. Tikhonov and
V. Y. Arsenin) . . . . . . . . . . . . . 266--267
George H. Weiss Book Review: \booktitleThe Theory of
Gambling and Statistical Logic (Richard
A. Epstein) . . . . . . . . . . . . . . 267--268
Héctor J. Sussmann Book Review: \booktitleCatastrophe
Theory, Selected Papers 1972-1977 (E. C.
Zeeman) . . . . . . . . . . . . . . . . 268--276
Robert F. Ling Book Review: \booktitleStatistical
Methods for Digital Computers (Kurt
Enslein, Anthony Ralston and Herbert S.
Wilf, eds.) . . . . . . . . . . . . . . 276--277
Anonymous Other Books Received . . . . . . . . . . 278--280
Anonymous Chronicle . . . . . . . . . . . . . . . 281--288
Paul H. LeBlond and
Lawrence A. Mysak Ocean Waves: a Survey of Some Recent
Results . . . . . . . . . . . . . . . . 289--328
Robert B. Kelman Least Squares Fourier Series Solutions
to Boundary Value Problems . . . . . . . 329--338
G. Peters and
J. H. Wilkinson Inverse Iteration, Ill-Conditioned
Equations, and Newton's Method . . . . . 339--360
Richard B. Holmes Mathematical Foundations of Signal
Processing . . . . . . . . . . . . . . . 361--388
Anonymous Announcement . . . . . . . . . . . . . . 389--389
G. Geldenhuys Design of an Asymmetric Ideal Cascade
for Isotope Enrichment . . . . . . . . . 390--394
D. K. Ross A Non-Linear Differential Equation . . . 395--395
P. J. De Doelder Two Infinite Sums . . . . . . . . . . . 395--396
J. D. Love An Identity . . . . . . . . . . . . . . 396--396
T. V. Narayana and
M. Özsoyoglu A Combinatorial Identity . . . . . . . . 396--396
A. K. Raina and
V. Singh A Conjectured Property of Legendre
Functions . . . . . . . . . . . . . . . 396--396
A. V. Boyd and
R. Askey and
D. R. Dellwo and
H. E. Fettis and
M. L. Glasser and
O. P. Lossers and
P. T. L. M. Vanwoerkom Integral of an Elliptic Function . . . . 396--397
Otto G. Ruehr Book Review: \booktitleAn Integral of an
Elliptic Function (A. V. Boyd) . . . . . 396--397
Anonymous Edge $3$-Coloring of Tournaments . . . . 397--398
N. Megiddo Edge Three-Coloring of Tournaments . . . 397--398
P. J. Schweitzer and
J. Z. Hearon and
C. E. Langenhop and
W. B. Jordan and
E. L. Wachspress Spectral Analysis of a Matrix . . . . . 398--400
A. A. Jagers Book Review: \booktitleEvaluation of a
Determinant (D. Slepian) . . . . . . . . 400--401
D. Slepian Evaluation of a Determinant . . . . . . 400--401
A. A. Jagers Book Review: \booktitleTwo Equal
Determinants (R. Shantaram) . . . . . . 401--401
R. Shantaram and
A. A. Jagers Two Equal Determinants . . . . . . . . . 401--401
Edward Butz Book Review: \booktitleAn Introduction
to Mathematical Modelling (Edward A.
Bender) . . . . . . . . . . . . . . . . 402--404
John H. Rowland Book Review: \booktitleBasic Numerical
Mathematics, Vol. 2: Numerical Algebra
(John Todd) . . . . . . . . . . . . . . 404--404
Paul E. Saylor Book Review: \booktitleFundamentals of
Numerical Reservoir Simulation (Donald
W. Peaceman) . . . . . . . . . . . . . . 404--406
N. H. McClamroch Book Review: \booktitleMultivariate
System Control (A. J. Fossard) . . . . . 406--407
Stephen Childress Book Review: \booktitleMagnetic Field
Generation in Electrically Conducting
Fluids (H. K. Moffatt) . . . . . . . . . 407--409
Ronald B. Guenther Book Review: \booktitleFunctional
Analysis in Modern Applied Mathematics
(Ruth G. Curtain and A. J. Pritchard) 409--410
John M. Ferry Book Review: \booktitleNumerical Methods
for Partial Differential Equations
(William F. Ames) . . . . . . . . . . . 410--410
Robert E. Barnhill Book Review: \booktitleThe Finite
Element Method for Elliptic Problems
(Phillippe G. Ciarlet) . . . . . . . . . 410--411
R. R. Meyer Book Review: \booktitleInteger and Mixed
Programming; Theory and Applications
(Arnold Kaufmann and Arnaud
Henry-Labord\`ere) . . . . . . . . . . . 411--412
John J. Sopka Book Review: \booktitleIntroductory
Functional Analysis with Applications
(Erwin Kreyszig) . . . . . . . . . . . . 412--413
H. I. Freedman Book Review: \booktitleMathematical
Models. Mechanical Vibrations,
Population Dynamics, and Traffic Flow
(Richard Haberman) . . . . . . . . . . . 413--414
Harry Hochstadt Book Review: \booktitleMathematics
Applied to Continuum Mechanics (Lee A.
Segel) . . . . . . . . . . . . . . . . . 414--415
Paul C. Fife Book Review: \booktitleStability of
Fluid Motions Vols. I and II (Daniel D.
Joseph) . . . . . . . . . . . . . . . . 415--418
J. W. Bebernes Book Review: \booktitleThe Stability of
Dynamical Systems (J. P. Lasalle) . . . 418--420
Richard Askey Book Review: \booktitleSpecial Functions
of Applied Mathematics (B. C. Carlson) 420--421
Arthur O. Pittenger Book Review: \booktitleStochastic
Processes: a Survey of the Mathematical
Theory (John Lamperti) . . . . . . . . . 421--422
Howard Reinhardt Book Review: \booktitleMultivariate
Statistical Inference (Narayan C. Giri) 423--424
Preston C. Hammer Book Review: \booktitleMathematical
Methods in Science (George Polya) . . . 424--424
Robert M. Thrall Book Review: \booktitleDiscrete
Mathematical Models (Fred S. Roberts) 424--425
B. K. Williams and
L. A. Joyce and
G. M. Van Dyne Book Review: \booktitleEcosystem
Modeling in Theory and Practice: an
Introduction with Case Histories
(Charles A. S. Hall and John W. Day,
Jr., eds.) . . . . . . . . . . . . . . . 425--429
W. D. Wallis Book Review: \booktitleGraph Theory with
Applications (J. A. Bondy and U. S. R.
Murty) . . . . . . . . . . . . . . . . . 429--429
Henry C. Thacher, Jr. Book Review: \booktitleAlgorithms for
the Computation of Mathematical
Functions (Yudell L. Luke) . . . . . . . 429--430
Stefan A. Burr Book Review: \booktitleThe Theory of
Partitions (George E. Andrews) . . . . . 430--432
Anonymous Other Books Received . . . . . . . . . . 432--436
Anonymous New Members . . . . . . . . . . . . . . 437--441
J. E. Dennis, Jr. and
R. B. Schnabel Least Change Secant Updates for
Quasi-Newton Methods . . . . . . . . . . 443--459
Bradley Efron Computers and the Theory of Statistics:
Thinking the Unthinkable . . . . . . . . 460--480
Peter Henrici Fast Fourier methods in computational
complex analysis . . . . . . . . . . . . 481--527
B. David Saunders and
Hans Schneider Applications of the Gordan--Stiemke
Theorem in Combinatorial Matrix Theory 528--541
E. Kosko 3-Dimensional Pipe Joining . . . . . . . 542--549
Eryk Kosko Three-Dimensional Pipe Joining . . . . . 542--549
Chung Lie Wang On Development of Inverses of the Cauchy
and Hölder Inequalities . . . . . . . . . 550--557
M. L. Glasser A Sum of Bessel Functions . . . . . . . 559--559
M. S. Klamkin A Triangle Inequality . . . . . . . . . 559--559
D. Singmaster Resistances in an $n$-Dimensional Cube 559--559
W. R. Utz A Min-Max Problem . . . . . . . . . . . 559--559
J. D. Love A Differential Equation . . . . . . . . 560--560
John Haigh and
G. Gripenberg On a Poisson Process . . . . . . . . . . 560--561
D. M. Boroson Book Review: \booktitleExpected Values
for Random Regions of a Circle (T. D.
Rogers) . . . . . . . . . . . . . . . . 562--564
D. McLeish Book Review: \booktitleA Probabilistic
Inequality (L. A. Shepp and A. M.
Odlyzko) . . . . . . . . . . . . . . . . 564--565
D. Mcleish and
G. Gripenberg Probabilistic Inequality . . . . . . . . 564--565
J. S. Lew and
F. H. Clarke and
J. Grzesik and
D. C. Jespersen and
W. B. Jordan and
W. W. Meyer Paul Bunyan's Washline . . . . . . . . . 565--566
J. van Kan Book Review: \booktitleAn Integral
Inequality (A. Meir) . . . . . . . . . . 567--568
J. Vankan and
G. K. Kristiansen and
M. K. Kwong Integral Inequality . . . . . . . . . . 567--568
Ernest P. Gray Book Review: \booktitleA Definite
Integral (M. L. Glasser) . . . . . . . . 568--569
E. P. Gray and
R. E. Shafer and
O. P. Lossers Definite Integral . . . . . . . . . . . 568--569
M. S. Klamkin and
L. Gerber A Volume Inequality for a Pair of
Associated Simplexes . . . . . . . . . . 569--570
Lee A. Segel Book Review: \booktitleMathematical
Modelling Techniques (R. Aris) . . . . . 571--572
John Guckheimer Book Review: \booktitleCatastrophe
Theory and Its Applications (Tim Poston
and Ian Stewart) . . . . . . . . . . . . 572--573
Ronald V. Book Book Review: \booktitleAlgebraic and
Automata-Theoretic Properties of Formal
Languages (Seymour Ginsburg) . . . . . . 573--576
S. K. Sinha Book Review: \booktitleOutliers in
Statistical Data (Vic Barnett and Toby
Lewis) . . . . . . . . . . . . . . . . . 576--577
Marshall Slemrod Book Review: \booktitleModern Methods in
Partial Differential Equations: an
Introduction (Martin Schechter) . . . . 577--577
F. C. Hoppensteadt Book Review: \booktitleTheoretical
Immunology (George I. Bell, Alan S.
Perelson and George H. Pimbley, Jr.,
eds.) . . . . . . . . . . . . . . . . . 577--578
Richard Askey Book Review: \booktitleHandbook of
Hypergeometric Integrals: Theory,
Applications, Tables, Computer Programs
(Harold Exton) . . . . . . . . . . . . . 578--578
A. T. Bharucha-Reid Book Review: \booktitleInnovation
Processes (Y. A. Rozanov) . . . . . . . 579--579
R. N. Goss Book Review: \booktitleInformation
Theory with Applications (Silviu Guiasu) 579--580
Stanley Corrsin Book Review: \booktitleThe Structure of
Turbulent Shear Flow (A. A. Townsend) 581--583
Anonymous Other Books Received . . . . . . . . . . 583--586
Anonymous New Members . . . . . . . . . . . . . . 587--595
Anonymous Treasurer's Report . . . . . . . . . . . 596--596
Larry Nazareth Some Recent Approaches to Solving Large
Residual Nonlinear Least Squares
Problems . . . . . . . . . . . . . . . . 1--11
P. R. Eiseman and
A. P. Stone Conservation laws of fluid dynamics ---
a survey . . . . . . . . . . . . . . . . 12--27
Eugene Allgower and
Kurt Georg Simplicial and Continuation Methods for
Approximating Fixed Points and Solutions
to Systems of Equations . . . . . . . . 28--85
G. Salinetti Addition . . . . . . . . . . . . . . . . 86--86
G. Salinetti and
R. Wets Addendum: ``On the convergence of convex
sets in finite dimensions''\ [SIAM Rev.
\bf 21 (1979), no. 1, 18--33 and MR
80h:52007] . . . . . . . . . . . . . . . 86--86
Anonymous Announcement . . . . . . . . . . . . . . 87--87
R. R. Clements Reliability of Multichannel Systems . . 88--95
A. V. Boyd A Determinant and an Identity . . . . . 97--97
A. Varma A Closed Form Integration . . . . . . . 97--97
K. Sourisseau A Matrix Stability Problem . . . . . . . 97--98
D. K. Ross Eigenvalues of a Tri-diagonal Matrix . . 98--98
M. S. Klamkin and
A. Liu A Dice Problem . . . . . . . . . . . . . 99--99
T. Sekiguchi and
N. Kimura Book Review: \booktitleA Matrix
Eigenvalue Problem (G. Efroymson, A.
Steger and S. Steinberg) . . . . . . . . 99--100
T. Sekiguchi and
N. Kimura and
C. Givens and
O. Ruehr and
M. H. Gutknecht and
W. B. Jordan and
O. P. Lossers and
P. J. Nikolai and
K. Wang Matrix Eigenvalue Problem . . . . . . . 99--100
William B. Jordan and
E. L. Allgower Book Review: \booktitleA Determinant (A.
E. Barkauskas and D. W. Bange) . . . . . 100--101
D. E. Knuth and
J. Case and
M. E. H. Ismail and
R. Piessens and
J. R. Pounder and
N. M. Temme and
J. H. Vanlint and
D. J. Daley and
Z. Drezner and
T. O. Espelid and
G. Grippenberg and
W. B. Jordan and
W. J. Rey and
P. Sermer and
M. Klawe and
W. Pulleyblank and
W. Vollmerhaus Asymptotic Behavior of a Sequence . . . 101--102
Donald K. Knuth Book Review: \booktitleAsymptotic
Behavior of a Sequence ( L. Erlebach and
O. Ruehr) . . . . . . . . . . . . . . . 101--102
Anonymous Late Solutions . . . . . . . . . . . . . 102--102
J. E. Wilkins Correction . . . . . . . . . . . . . . . 102--102
J. E. Wilkins, Jr. Erratum: An Integral Inequality . . . . 102--102
Azriel Rosenfeld Book Review: \booktitleSyntactic Pattern
Recognition: an Introduction (Rafael C.
Gonzalez and Michael G. Thomason) . . . 103--104
C. J. Park Book Review: \booktitleRandom
Allocations (Valentin F. Kolchin, Boris
A. Sevast'yanov and Vladimir P.
Chistyakov) . . . . . . . . . . . . . . 104--104
Jet Wimp Book Review: \booktitleBessel
Polynomials (Emil Grosswald) . . . . . . 104--106
Robert Hermann Book Review: \booktitleDifferential
Forms in Mathematical Physics (C. Von
Westenholz) . . . . . . . . . . . . . . 106--107
Martin Shubik Book Review: \booktitleOligopoly and the
Theory of Games (James W. Friedman) . . 107--109
Anonymous Other Books Received . . . . . . . . . . 109--112
Anonymous New Members . . . . . . . . . . . . . . 113--117
Zeev Schuss Singular Perturbation Methods in
Stochastic Differential Equations of
Mathematical Physics . . . . . . . . . . 119--155
G. W. Reddien Projection Methods for Two-Point
Boundary Value Problems . . . . . . . . 156--171
Zvi Artstein Discrete and Continuous Bang-Bang and
Facial Spaces Or: Look for the Extreme
Points . . . . . . . . . . . . . . . . . 172--185
Stuart S. Antman and
Gerald Rosenfeld Corrections and additions: ``Global
behavior of buckled states of
nonlinearly elastic rods'' [SIAM Rev.
\bf 20 (1978), no. 3, 513--566 and MR
\bf 58 #14107] . . . . . . . . . . . . . 186--187
F. W. J. Olver Asymptotic Approximations and Error
Bounds . . . . . . . . . . . . . . . . . 188--203
Alvin M. Weinberg Energy Policy and Mathematics . . . . . 204--212
R. E. Meyer Exponential Asymptotics . . . . . . . . 213--224
Anonymous Announcement . . . . . . . . . . . . . . 225--225
Joseph B. Keller Plate Failure Under Pressure . . . . . . 227--228
H. P. Robinson A. Conjectured Limit . . . . . . . . . . 229--229
D. K. Ross A Nonoscillation Result . . . . . . . . 229--229
P. W. Smith A Set of Linearly Independent
Polynomials . . . . . . . . . . . . . . 229--229
M. S. Klamkin and
A. Sharma and
P. W. Smith Determinant of a Partitioned Matrix . . 230--230
M. L. Glasser and
A. J. Jerri An Infinite Series . . . . . . . . . . . 230--230
David Powers Book Review:
\booktitleSuper-Controllability (O.
Hájek) . . . . . . . . . . . . . . . . . 230--231
D. Powers and
W. N. Anderson and
G. E. Trapp and
A. E. Eckberg and
W. H. Gustafson and
J. Z. Hearon and
R. B. Kellogg and
A. Khadr and
O. P. Lossers and
S. L. Paverifontana and
P. Vandendriessche and
J. C. Willems Super-Controllability . . . . . . . . . 230--231
L. Carlitz Book Review: \booktitleA Hyperbolic
Series Identity (Chih-Bong Ling) . . . . 231--231
L. Carlitz and
H. E. Fettis and
O. P. Lossers and
W. A. Alsalam and
B. C. Berndt and
R. C. Carson and
Z. Drezner and
G. Gripenberg and
A. A. Jagers and
F. Milinazzo and
J. Piepers and
O. G. Ruehr and
P. Wagner and
H. T. Wang A Hyperbolic Series Identity . . . . . . 231--231
W. B. Jordan Fourier Series for a Combination of
Jacobian Elliptic Functions . . . . . . 232--233
William B. Jordan Book Review: \booktitleFourier Series
for a Combination of Jacobian Elliptic
Functions (N. R. Pereira) . . . . . . . 232--234
Jan Brink-Spalink Book Review: \booktitleCredibility
Functions (Y. P. Sabharwal and J. Kumar) 234--236
J. Brinkspalink and
J. Aczel and
M. D. Humphries and
G. E. Latta and
S. L. Paverifontana and
G. C. Taylor Credibility Functions . . . . . . . . . 234--236
R. J. Elliott Book Review: \booktitleStochastic
Optimal Control: The Discrete Time Case
(Dimitri P. Bertsekas and Steven F.
Shreve) . . . . . . . . . . . . . . . . 237--238
Earl Glen Whitehead, Jr. Book Review: \booktitleCombinatorial
Algorithms for Computers and
Calculators; 2nd Edition (Albert
Nijenhuis and Herbert S. Wilf) . . . . . 238--239
Anders Lindquist Book Review: \booktitleLinear Estimation
and Stochastic Control (M. H. A. Davis) 239--241
Lowell W. Beineke Book Review: \booktitleThe Four Color
Problem: Assaults and Conquest (Thomas
Saaty and Paul Kainen) . . . . . . . . . 241--243
R. J. Serfling Book Review: \booktitleStochastic
Convergence; 2nd Edition (Eugene Lukacs) 243--245
Nicholas D. Kazarinoff Book Review: \booktitleTime Lags in
Biological Models (Norman MacDonald) . . 245--246
Lee A. Segel Book Review: \booktitleApplied
Mathematics: an Intellectual Orientation
(Francis J. Murray) . . . . . . . . . . 246--247
Frank Spitzer Book Review: \booktitleBrownian Motion
and Classical Potential Theory (Sydney
C. Port and Charles J. Stone) . . . . . 247--248
Andrew Lenard Book Review: \booktitleThermodynamic
Formalism (David Ruelle) . . . . . . . . 248--250
Preston C. Hammer Book Review: \booktitleMathematics
Today: Twelve Informal Essays (Lynn
Arthur Steen, ed.) . . . . . . . . . . . 250--252
Anonymous New Journal . . . . . . . . . . . . . . 252--252
Anonymous Other Books Received . . . . . . . . . . 252--255
Anonymous New Members . . . . . . . . . . . . . . 256--262
C. B. García and
F. J. Gould Relations Between Several Path Following
Algorithms and Local and Global Newton
Methods . . . . . . . . . . . . . . . . 263--274
Van C. Mow and
W. Michael Lai Recent Developments in Synovial Joint
Biomechanics . . . . . . . . . . . . . . 275--317
Axel Ruhe and
Per Åke Wedin Algorithms for Separable Nonlinear Least
Squares Problems . . . . . . . . . . . . 318--337
J. G. Ecker Geometric Programming: Methods,
Computations and Applications . . . . . 338--362
W. W. Meyer Extreme Value of an Integral . . . . . . 363--363
S. Riemenschneider Zeros of a Polynomial . . . . . . . . . 363--363
M. L. Glasser An Infinite Triple Summation . . . . . . 363--364
M. S. Klamkin and
A. Meir An Identity for Complex Numbers . . . . 364--364
D. Singmaster An Extremal Sphere . . . . . . . . . . . 364--364
D. A. Kearsley Book Review: \booktitleA Nonlinear
Differential Equation (D. K. Ross) . . . 364--365
D. A. Kearsley and
W. N. Selander and
W. Squire A Non-Linear Differential-Equation . . . 364--365
H. E. Fettis Book Review: \booktitleTwo Infinite Sums
(P. J. De Doelder) . . . . . . . . . . . 365--368
A. A. Jagers Book Review: \booktitleA Combinatorial
Identity (T. V. Narayana and M.
Özsoyoglu) . . . . . . . . . . . . . . . 369--369
W. B. Jordan Book Review: \booktitleA Conjectured
Property of Legendre Functions (A. K.
Raina and V. Singh) . . . . . . . . . . 369--372
O. P. Lossers and
H. E. Fettis and
D. K. Ross Book Review: \booktitleAn Identity (J.
D. Love) . . . . . . . . . . . . . . . . 372--373
Anonymous Book Review: \booktitleErratum: an
Integral Inequality (J. W. Wilkins, Jr.) 373--374
J. E. Wilkins Correction . . . . . . . . . . . . . . . 373--374
Richard F. Datko Book Review: \booktitleConvexity and
Optimization in Banach Spaces (V. Barbu
and Th. Precipanu) . . . . . . . . . . . 375--376
T. A. Porsching Book Review: \booktitleNumerical
Solution of Partial Differential
Equations: Finite Difference Methods (G.
D. Smith) . . . . . . . . . . . . . . . 376--376
P. M. Anselone Book Review: \booktitleTheoretical
Numerical Analysis (Peter Linz) . . . . 376--377
Mark J. Ablowitz Book Review: \booktitleLie--Bäcklund
Transformations in Applications (Robert
L. Anderson and Nail H. Ibragimov) . . . 377--377
William W. Hager Book Review: \booktitleMathematical
Programming and Control Theory (B. D.
Craven) . . . . . . . . . . . . . . . . 377--378
Harry Hochstadt Book Review: \booktitleComplex Analysis:
an Introduction to the Theory of
Analytic Functions of One Complex
Variable; 3rd ed. (Lars V. Ahlfors) . . 378--378
Meyer Dwass Book Review: \booktitleThe Asymptotic
Theory of Extreme Order Statistics
(Janos Galambos) . . . . . . . . . . . . 379--379
Richard Askey Book Review: \booktitleThe $H$-Function
with Applications in Statistics and
other Disciplines (A. M. Mathai and R.
K. Saxena) . . . . . . . . . . . . . . . 379--380
A. H. Taub Book Review: \booktitleRelativistic
Theories of Materials (Aldo Bressan) . . 380--382
Väclav Fabian Book Review: \booktitleStochastic
Approximation Methods for Constrained
and Unconstrained Systems (Harold L.
Kushner and Dean S. Clark) . . . . . . . 382--384
Albert Schild Book Review: \booktitleMathematics
Applied to Continuum Mechanics (Lee A.
Segel) . . . . . . . . . . . . . . . . . 384--385
Robert F. Millar Book Review: \booktitleElectromagnetic
Scattering (Piergiorgio L. E. Uslenghi,
ed.) . . . . . . . . . . . . . . . . . . 385--387
Raphael Zahler Book Review: \booktitleQuestions of
Uniqueness and Resolution in
Reconstruction from Projections (Myron
Bernard Katz) . . . . . . . . . . . . . 387--388
Anonymous Other Books Received . . . . . . . . . . 388--392
Anonymous New Members . . . . . . . . . . . . . . 393--397
Anonymous Elected and Appointed Officials . . . . 398--399
R. Wong Error Bounds for Asymptotic Expansions
of Integrals . . . . . . . . . . . . . . 401--435
Allan M. Krall Chebyshev Sets of Polynomials which
Satisfy an Ordinary Differential
Equation . . . . . . . . . . . . . . . . 436--441
A. M. Krall Tschebyscheff Sets of Polynomials Which
Satisfy an Ordinary
Differential-Equation . . . . . . . . . 436--441
Joseph B. Keller Some Bubble and Contact Problems . . . . 442--458
J. Casti The linear-Quadratic Control Problem:
Some Recent Results and Outstanding
Problems . . . . . . . . . . . . . . . . 459--485
K. O. Friedrichs Von Neumann's Hilbert Space Theory and
Partial Differential Equations . . . . . 486--493
Anonymous Announcement . . . . . . . . . . . . . . 494--494
Vittorio Cantoni and
Amalia Ercoli Finzi Slowest Descent to the Moon . . . . . . 495--499
P. B. Borwein A Polynomial Problem . . . . . . . . . . 501--501
G. N. Lewis and
O. G. Ruehr A Nonlinear System of Differential
Equations . . . . . . . . . . . . . . . 501--501
B. C. Rennie Designing a Three-Edged Reamer . . . . . 501--502
E. Arthurs and
B. W. Stuck Subadditivity of Teletraffic Special
Functions . . . . . . . . . . . . . . . 502--503
P. J. Schweitzer A Nonlinear Vector Finite Difference
Scheme . . . . . . . . . . . . . . . . . 503--503
P. O. Frederickson Book Review: \booktitleA Differential
Equation (J. D. Love) . . . . . . . . . 503--504
B. C. Rennie Book Review: \booktitleResistances in an
$n$-Dimensional Cube (D. Singmaster) . . 504--508
Jesper Larsen and
Gustave Gripenberg Book Review: \booktitleA Sum of Bessel
Functions (M. L. Glasser) . . . . . . . 508--509
J. Larsen A Sum of Bessel Functions . . . . . . . 508--509
M. S. Klamkin Book Review: \booktitleA Triangle
Inequality (M. S. Klamkin) . . . . . . . 509--511
C. W. Gear Book Review: \booktitleNumerical
Solution of Differential Equations
(Isaac Fried) . . . . . . . . . . . . . 512--513
H. F. Mattson, Jr. Book Review: \booktitleThe Theory of
Error-Correcting Codes (F. J.
MacWilliams and N. J. A. Sloane) . . . . 513--519
Alan Weinstein Book Review: \booktitleTheoretical
Kinematics (O. Bottema and B. Roth) . . 519--520
N. D. Kazarinoff Book Review: \booktitleMathematical
Aspects of Reacting and Diffusing
Systems (Paul C. Fife) . . . . . . . . . 520--520
Philip W. Smith Book Review: \booktitleA Practical Guide
to Splines (Carl de Boor) . . . . . . . 520--521
V. Lakshmikantham Book Review: \booktitleDynamical Systems
and Their Applications: Linear Theory
(John L. Casti) . . . . . . . . . . . . 521--522
Henrick John Malik Book Review: \booktitleThe Algebra of
Random Variables (M. D. Springer) . . . 522--522
Stephen M. Samuels Book Review: \booktitleProbability
Theory: Independence,
Interchangeability, Martingales (Yuan
Shih Chow and Henry Teicher) . . . . . . 522--523
Stan Fromovitz Book Review: \booktitleNonlinear
Programming: Theory and Algorithms
(Mokhtar S. Bazaraa and C. M. Shetty) 523--524
Robert Hermann Book Review: \booktitleDifferential
Geometry, Lie Groups, and Symmetric
Spaces (Sigurdur Helgason) . . . . . . . 524--526
Richard Serfozo Book Review: \booktitleFinite Dynamic
Programming: an Approach to Finite
Markov Decision Processes (D. J. White) 527--528
L. B. Rall Book Review: \booktitleVariational
Methods in Mathematics, Science and
Engineering (Karel Rektorys) . . . . . . 528--532
Anonymous Other Books Received . . . . . . . . . . 532--534
Anonymous Elected and Appointed Officials . . . . 535--536
Anonymous Treasurer's Report . . . . . . . . . . . 537--537
C. Garcia and
A. A. Minzoni An Asymptotic Solution for the Wave
Equation in a Time-Dependent Domain . . 1--9
Catherine Garcia R. and
A. A. Minzoni An Asymptotic Solution for the Wave
Equation in a Time-Dependent Domain . . 1--9
C. W. Gear Numerical Solution of Ordinary
Differential Equations: Is There
Anything Left to Do? . . . . . . . . . . 10--24
A. J. Pritchard and
J. Zabczyk Stability and Stabilizability of
Infinite-Dimensional Systems . . . . . . 25--52
H. V. Henderson and
S. R. Searle On Deriving the Inverse of a Sum of
Matrices . . . . . . . . . . . . . . . . 53--60
Martin Braun Mathematical Remarks on the Van Allen
Radiation Belt: a Survey of Old and New
Results . . . . . . . . . . . . . . . . 61--93
Timothy V. Fossum and
Gilbert N. Lewis A Mathematical Model for Trailer-Truck
Jackknifing . . . . . . . . . . . . . . 95--99
E. Deutsch Location of the Zeros of a Polynomial 100--100
K. R. Parthasarathy A Functional Equation . . . . . . . . . 100--100
J. S. Lew Optimal Tracking . . . . . . . . . . . . 100--101
H. E. Fettis Principal Value of an Integral . . . . . 101--101
H. Wolkowicz A Constrained Matrix Optimization
Problem . . . . . . . . . . . . . . . . 101--101
D. M. Bressoud Book Review: \booktitleThe
Rogers-Ramanujan Identities (G. E.
Andrews) . . . . . . . . . . . . . . . . 101--104
A. Feldstein and
R. Goodman and
J. Bustoz Book Review: \booktitleConjecture on a
Finite and an Infinite Product (A.
Feldstein and R. Goodman) . . . . . . . 104--105
B. Parlett and
R. Tolimieri Book Review: \booktitleA Matrix
Eigenvalue Problem (G. Efroymson, A.
Steger and S. Steinberg) . . . . . . . . 105--105
O. G. Ruehr and
O. P. Lossers and
C. Givens Book Review: \booktitleA Determinant and
an Identity (A. V. Boyd) . . . . . . . . 105--107
O. G. Ruehr and
O. P. Lossers A Determinant and an Identity . . . . . 105--107
W. B. Jordan Book Review: \booktitleA Matrix
Stability Problem (K. Sourisseau and M.
F. Doherty) . . . . . . . . . . . . . . 107--112
J. Z. Hearon Book Review: \booktitleEigenvalues of a
Tri-Diagonal Matrix (D. K. Ross) . . . . 112--113
Anonymous Late Solutions . . . . . . . . . . . . . 113--113
R. Askey Book Review: \booktitleApproximation
with Rational Functions (D. J. Newman) 114--114
A. C. Pipkin Book Review: \booktitleElongational
Flows: Aspects of the Behavior of Model
Elasticoviscous Fluids (C. J. S. Petrie) 114--115
Hans Sagan Book Review: \booktitleMathematics of
Finite-Dimensional Control Systems:
Theory and Design (David L. Russell) . . 115--116
W. H. Mills Book Review: \booktitleOrthogonal
Designs: Quadratic Forms and Hadamard
Matrices (Anthony V. Geramita and
Jennifer Seberry) . . . . . . . . . . . 116--117
Frank Spitzer Book Review: \booktitleOptimal Stopping
Rules (A. N. Shiryayev) . . . . . . . . 117--117
Wilfred Kaplan Book Review: \booktitleGreen's Functions
and Boundary Value Problems (Ivar
Stackgold) . . . . . . . . . . . . . . . 117--118
Robert McKelvey Book Review: \booktitleModels for Public
Systems Analysis (Edward J. Beltrami) 118--120
Sidney C. Port Book Review: \booktitleDiffusions,
Markov Processes, & Martin gales: Volume
1: Foundations (David. Williams) . . . . 120--120
Joel W. Robbin Book Review: \booktitleFoundations of
Mechanics (Ralph Abraham and Jerrold E.
Marsden) . . . . . . . . . . . . . . . . 120--121
Eldon Hansen Book Review: \booktitleMethods and
Applications of Interval Analysis (Ramon
E. Moore) . . . . . . . . . . . . . . . 121--123
Stefan A. Burr Book Review: \booktitleLocation on
Networks: Theory and Algorithms (Gabriel
Y. Handler and Pitu B. Mirchandani) . . 123--124
Clifford J. Earls Book Review: \booktitleQuasiconformal
Mappings and Riemann Surfaces (Samuil L.
Krushkal) . . . . . . . . . . . . . . . 124--124
Ralph A. Willoughby Book Review: \booktitleCompact Numerical
Methods for Computers: Linear Algebra
and Function Minimization (J. C. Nash) 124--125
N. Marcuvitz Book Review: \booktitleUnidirectional
Wave Motion (H. Levine) . . . . . . . . 125--126
B. N. Parlett Book Review: \booktitleLINPACK Users'
Guide (J. J. Dongarra, J. R. Bunch, C.
B. Moler and G. W. Stewart) . . . . . . 126--128
Anonymous Other Books Received . . . . . . . . . . 128--132
Anonymous New Members . . . . . . . . . . . . . . 133--141
Uriel G. Rothblum Expansions of Sums of Matrix Powers . . 143--164
Frank Stenger Numerical Methods Based on Whittaker
Cardinal, or Sinc Functions . . . . . . 165--224
Steve H. Tijs Nash Equilibria for Noncooperative
$n$-Person Games in Normal Form . . . . 225--237
U. Ascher and
R. D. Russell Reformulation of boundary value problems
into ``standard'' form . . . . . . . . . 238--254
A. Gleason Factorization of a Homogeneous
Polynomial . . . . . . . . . . . . . . . 255--255
J. S. Lew An Optimal Raster . . . . . . . . . . . 255--255
D. J. Newman Limit of a Sum . . . . . . . . . . . . . 255--255
L. V. Foster Some Inequalities Involving Statistical
Expressions . . . . . . . . . . . . . . 256--256
M. L. Glasser A Property of an Inverse Laplace
Transform . . . . . . . . . . . . . . . 256--256
D. J. Newman and
D. V. Widder Book Review: \booktitleA Conjectured
Limit (H. P. Robinson) . . . . . . . . . 256--257
R. R. Burnside Book Review: \booktitleA Nonoscillation
Result (D. K. Ross) . . . . . . . . . . 257--258
H. E. Fettis and
Y. L. Luke and
O. G. Ruehr and
A. A. Jagers and
O. P. Lossers and
O. G. Ruehr Book Review: \booktitleAn Infinite
Series (M. L. Glasser and A. J. Jerri) 258--259
H. E. Fettis and
Y. L. Luke and
O. G. Ruehr An Infinite Series . . . . . . . . . . . 258--259
G. Deutsch Book Review: \booktitleDeterminant of a
Partitioned Matrix (M. S. Klamkin, A.
Sharma and P. W. Smith) . . . . . . . . 259--259
E. Deutsch Determinant of a Partitioned Matrix . . 259--259
Gottfried E. Noether Book Review: \booktitleIntroduction to
the Theory of Nonparametric Statistics
(Ronald H. Randles and Douglas A. Wolfs) 260--261
A. O. Pittenger Book Review: \booktitleMarkov Chain
Models-Rarity and Exponentiality (Julian
Keilson) . . . . . . . . . . . . . . . . 261--262
Charles K. Chui Book Review: \booktitleThe General
Problem of Approximation and Spline
Functions (B. N. Sahney and A. S. B.
Holland) . . . . . . . . . . . . . . . . 262--262
Earl Glen Whitehead, Jr. Book Review: \booktitleCombinatorial
Complexes: a Mathematical Theory of
Algorithms (Peter H. Sellers) . . . . . 263--264
Carolyn Talcott Book Review: \booktitleA Computational
Logic (Robert S. Boyer and J. Strother
Moore) . . . . . . . . . . . . . . . . . 264--266
P. M. Prenter Book Review: \booktitleThe Numerical
Treatment of Integral Equations (C. T.
H. Baker) . . . . . . . . . . . . . . . 266--267
G. R. Blakley Book Review: \booktitleInformation
Linkage Between Applied Mathematics and
Industry (Peter C. C. Wang, Arthur L.
Schoenstadt, Bert I. Russak, and Craig
Comstock, eds.) . . . . . . . . . . . . 267--269
Robert J. Elliott Book Review: \booktitleControlled Markov
Processes (E. B. Dynkin and A. A.
Yushkevich) . . . . . . . . . . . . . . 269--270
W. H. Mills Book Review: \booktitleDifference Sets
in Elementary Abelian Groups (Paul
Camion) . . . . . . . . . . . . . . . . 270--271
Ernest G. Manes Book Review: \booktitleFuzzy Switching
and Automata: Theory and Applications
(Abraham Kandel and Samuel C. Lee) . . . 271--273
W. E. Schmitendorf Book Review: \booktitleVector-Valued
Optimization Problems in Control Theory
(M. E. Salukvadze) . . . . . . . . . . . 273--274
Anonymous Other Books Recived . . . . . . . . . . 275--277
Pedro A. Morettin Walsh Spectral Analysis . . . . . . . . 279--291
U. G. Haussmann Some Examples of Optimal Stochastic
Controls OR: The Stochastic Maximum
Principle at Work . . . . . . . . . . . 292--307
Keith Stewartson D'Alembert's Paradox . . . . . . . . . . 308--343
A. S. B. Holland A Survey of Degree of Approximation of
Continuous Functions . . . . . . . . . . 344--379
Anonymous Announcement . . . . . . . . . . . . . . 380--380
Edward W. Herold Inflation Mathematics for Professionals 381--384
Margaret W. Maxfield and
Naomi J. McCarty The Best Time to Die . . . . . . . . . . 385--389
S. Riemenschneider and
A. Sharma and
P. W. Smith Zeros of a Polynomial . . . . . . . . . 390--390
P. W. Smith A Set of Linearly Independent
Polynomials . . . . . . . . . . . . . . 390--390
Ko-Wei Lih and
E. T. H. Wang Positivity of the Coefficients of a
Polynomial . . . . . . . . . . . . . . . 391--391
D. E. Raeside Estimation of the Median Effective Dose
in Bioassay . . . . . . . . . . . . . . 391--391
K. Schrader Distinct Zeros of a Function . . . . . . 391--391
M. L. Glasser Power Series of an Elliptic Function . . 391--392
O. G. Ruehr Identity for Hypergeometric Functions 392--392
O. P. Lossers Book Review: \booktitleExtreme Value of
an Integral (W. W. Meyer) . . . . . . . 392--393
M. L. Glasser and
O. G. Ruehr Book Review: \booktitleAn Infinite
Triple Summation (M. L. Glasser) . . . . 393--394
M. L. Glasser An Infinite Triple Summation . . . . . . 393--394
L. N. Howard and
M. Tortorella Book Review: \booktitleAn Extremal
Sphere (D. Singmaster) . . . . . . . . . 394--395
O. G. Ruehr Book Review: \booktitleAn Identity for
Complex Numbers (M. S. Klamkin and A.
Meir) . . . . . . . . . . . . . . . . . 395--396
Robert E. Tarjan Book Review: \booktitleGraphs and
Networks (Bernard Carré) . . . . . . . . 397--397
Carolyn Talcott Book Review: \booktitleLectures on the
Logic of Computer Programming (Zohar
Manna) . . . . . . . . . . . . . . . . . 397--398
M. Slemrod Book Review: \booktitleDynamical Systems
and Evolution Equations; Theory and
Applications (J. A. Walker) . . . . . . 398--399
B. R. Hunt Book Review: \booktitleImage
Reconstruction from Projections:
Implementation and Applications (G. T.
Herman, Editor) . . . . . . . . . . . . 399--400
Frank Spitzer Book Review: \booktitleReversibility and
Stochastic Networks (F. P. Kelly) . . . 400--401
Stephen J. Merrill Book Review: \booktitleMathematical
Models in Cell Biology and Cancer
Chemotherapy (Martin Eisen) . . . . . . 401--402
Kenneth B. Hannsgen Book Review: \booktitleNonlinear
Differential Equations (Svatopluk Fucik
and Alois Kufner) . . . . . . . . . . . 402--403
Jet Wimp Book Review: \booktitlePadé-Type
Approximation and General Orthogonal
Polynomials (Claude Brezinski) . . . . . 403--406
Charles R. Johnson Book Review: \booktitleThe Algebra of
Econometrics (D. S. G. Pollock) . . . . 406--407
Joe Jerome Book Review: \booktitleApplied
Semigroups and Evolution Equations (Aldo
Belleni-Morante) . . . . . . . . . . . . 408--409
David Carlson Book Review: \booktitleNonnegative
Matrices in the Mathematical Sciences
(Abraham Berman and Robert J. Plemmons) 409--410
R. P. Boas Book Review: \booktitleAn Introduction
to Classical Complex Analysis (Robert B.
Burckel) . . . . . . . . . . . . . . . . 410--410
R. D. Driver Book Review:
\booktitleIntegrodifferential Equations
and Delay Models in Population Dynamics
(J. M. Gushing) . . . . . . . . . . . . 411--411
William Stenger Book Review: \booktitleNumerical and
Quantitative Analysis (G. Fichera) . . . 411--412
Anonymous Other Books Received . . . . . . . . . . 412--415
Anonymous New Members . . . . . . . . . . . . . . 416--424
Carl E. Pearson Dual Time Scales in a Wave Problem
Governed by Coupled Nonlinear Equations 425--433
A. G. Malliaris Martingale Methods in Financial Decision
Making . . . . . . . . . . . . . . . . . 434--443
Yair Censor Row-Action Methods for Huge and Sparse
Systems and Their Applications . . . . . 444--466
Willy Sarlet and
Frans Cantrijn Generalizations of Noether's Theorem in
Classical Mechanics . . . . . . . . . . 467--494
Françoise Chatelin The Spectral Approximation of Linear
Operators with Applications to the
Computation of Eigenelements of
Differential and Integral Operators . . 495--522
Y. P. Sabharwal and
B. R. Gupta A Learning Model . . . . . . . . . . . . 523--524
M. Goldberg A Minimization Problem . . . . . . . . . 524--524
E. Y. Rodin A Nonlinear Second Order Differential
Equation . . . . . . . . . . . . . . . . 524--524
E. A. van Doorn Inequality or Identity . . . . . . . . . 524--524
M. Goldberg and
J. D. E. Konhauser Book Review: \booktitleDesigning a
Three-Edged Reamer (B. C. Rennie) . . . 525--525
M. Goldberg and
B. C. Rennie and
J. D. E. Konhauser Designing a Three-Edged Reamer . . . . . 525--525
Deborah Frank Lockhart and
W. Weston Meyer Book Review: \booktitleA Nonlinear
System of Differential Equations Problem
(G. N. Lewis and O. G. Ruehr) . . . . . 525--527
D. F. Lockhart and
G. N. Lewis and
O. G. Ruehr and
W. W. Meyer and
H. E. Fettis and
D. Powers and
R. A. Struble A Non-Linear System of Differential
Equations . . . . . . . . . . . . . . . 525--527
D. R. Smith and
W. Whitt Book Review: \booktitleSubadditivity of
Teletraffic Special Functions (E.
Arthurs and B. W. Stuck) . . . . . . . . 527--528
P. J. Schweitzer Book Review: \booktitleA Nonlinear
Vector Finite Difference Scheme (P. J.
Schweitzer) . . . . . . . . . . . . . . 528--532
A. M. Cohen Late Solutions . . . . . . . . . . . . . 532--532
Lawrence D. Stone Book Review: \booktitleSearch and
Screening: General Principles with
Historical Applications (B. O. Koopman) 533--539
Norman Bleistein Book Review: \booktitleThe
Boundary-Layer Method in Diffraction
Problems (V. M. Basic and N. Y.
Kirpicnikova) . . . . . . . . . . . . . 539--539
Lawrence C. Evans Book Review: \booktitleAn Introduction
to Variational Inequalities and Their
Applications (D. Kinderlehrer and G.
Stampacchia) . . . . . . . . . . . . . . 539--543
R. J. Knops Book Review: \booktitleThree-Dimensional
Problems of the Mathematical Theory of
Elasticity and Thermoelasticity (V. D.
Kupradze, T. G. Gegelia, M. O.
Basheleishvili, and T. V. Burchuladze) 543--545
W. F. Ames Book Review: \booktitleSimilarity,
Self-Similarity, and Intermediate
Asymptotics (G. I. Barenblatt) . . . . . 545--545
Abraham Berman Book Review: \booktitleGeneralized
Inverses of Linear Transformations (S.
L. Campbell and C. D. Meyer, Jr.) . . . 545--546
Lowell W. Beineke Book Review: \booktitleSpectra of Graphs
(D. M. Cvetkovi\'c, Michael Doob and
Horst Sachs) . . . . . . . . . . . . . . 546--548
J. A. Chatfield Book Review: \booktitleProduct
Integration with Applications to
Differential Equations (John D. Dollard
and Charles N. Friedman) . . . . . . . . 548--551
P. Lancaster Book Review: \booktitleMinimal
Factorization of Matrix and Operator
Functions (H. Bart, I. Gohberg, and M.
A. Kaashoek) . . . . . . . . . . . . . . 551--555
Anonymous Other Books Received . . . . . . . . . . 555--557
Anonymous New Members . . . . . . . . . . . . . . 558--563
Anonymous Elected and Appointed Officials . . . . 564--565
Anonymous Treasurer's Report . . . . . . . . . . . 566--566
John A. Dutton Fundamental theorems of climate
theory---some proved, some conjectured 1--33
V. V. Nguyen and
E. F. Wood Review and Unification of Linear
Identifiability Concepts . . . . . . . . 34--51
P. A. Anishev Reduction of Petri nets. (Russian) . . . 41--54, 111
M. Kracht and
E. Kreyszig and
G. Schröder Integral Operators in the Function
Theoretic Method for Partial
Differential Equations . . . . . . . . . 52--71
Anonymous Announcement . . . . . . . . . . . . . . 72--72
E. Waymire A Probabilistic Look at Mixing and
Cooling Processes . . . . . . . . . . . 73--75
N. I. Fisher and
A. J. Lee A Maximum Problem . . . . . . . . . . . 76--76
A. J. Jerri A Definite Integral . . . . . . . . . . 77--77
M. K. Lewis A Volume Problem . . . . . . . . . . . . 77--77
D. J. Newman A Covering Problem . . . . . . . . . . . 77--77
T. Sekiguchi A Maximum, Minimum Problem . . . . . . . 77--77
G. K. Kristiansen Book Review: \booktitleA Polynomial
Problem (P. B. Borwein) . . . . . . . . 77--78
M. Stvincent and
K. R. Parthasarathy A Functional Equation . . . . . . . . . 78--80
M. St. Vincent Book Review: \booktitleA Functional
Equation (K. R. Parthasarathy) . . . . . 78--80
P. G. Nevai Book Review: \booktitleLocation of the
Zeros of a Polynomial (E. Deutsch) . . . 80--80
P. G. Nevai and
E. Deutsch Location of the Zeros of a Polynomial 80--80
J. S. Lew Optimal Tracking . . . . . . . . . . . . 81--83
H. Wolkowicz A Constrained Matrix Optimization
Problem . . . . . . . . . . . . . . . . 83--83
James A. Boa Book Review: \booktitlePrincipal Value
of an Integral (H. E. Fettis) . . . . . 83--85
J. A. Boa and
H. E. Fettis Principal Value of an Integral . . . . . 83--85
Anonymous Book Review: \booktitleLate Solutions
(G. Fairweather and C. Surma) . . . . . 85--85
Ky Fan Book Review: \booktitleInequalities:
Theory of Majorization and Its
Applications (Albert W. Marshall and
Ingram Olkin) . . . . . . . . . . . . . 86--87
Richard E. Mortensen Book Review: \booktitleIntroduction to
Control Theory, Including Optimal
Control (David Burghes and Alexander
Graham) . . . . . . . . . . . . . . . . 87--89
John J. Sopka Book Review: \booktitleIntroduction To
Functional Analysis; 2nd edition (Angus
E. Taylor and David C. Lay) . . . . . . 89--89
Fred Brauer Book Review: \booktitleManagement and
Analysis of Biological Populations
(Bean-San Goh) . . . . . . . . . . . . . 89--90
Juris Hartmanis Book Review: \booktitleComputers and
Intractability: a Guide to the Theory of
NP-Completeness (Michael R. Garey and
David S. Johnson) . . . . . . . . . . . 90--91
Henry C. Thacher, Jr. Book Review: \booktitleSoftware Manual
for the Elementary Functions (W. J.
Cody, Jr. and W. Waite) . . . . . . . . 91--93
K. K. Lee Book Review: \booktitleIntroduction to
Global Analysis (Donald W. Kahn) . . . . 93--95
Gottfried E. Noether Book Review: \booktitleNonparametric
Sequential Selection Procedures (H.
Büringer, H. Martin, and K.-H. Schriever) 95--96
J. Thomas King Book Review: \booktitleIntroduction to
Numerical Analysis (J. Stoer and R.
Bulirsch) . . . . . . . . . . . . . . . 96--96
Herbert Amann Book Review: \booktitleOperator
Inequalities (Johann Schroeder) . . . . 97--97
John E. Dennis, Jr. Book Review: \booktitlePractical Methods
of Optimization, Vol. 1: Unconstrained
Optimization (R. Fletcher) . . . . . . . 97--98
Carl H. Smith Book Review: \booktitleComputability: an
Introduction to Recursive Function
Theory (N. J. Cutland) . . . . . . . . . 98--98
Harvey Cohn Book Review: \booktitleAnalytic Number
Theory: an Introduction (Richard
Bellman) . . . . . . . . . . . . . . . . 99--99
D. H. Lehmer Book Review: \booktitleError-Free
Computation: Why It is Needed and
Methods for Doing It (Robert Todd
Gregory) . . . . . . . . . . . . . . . . 99--100
Harry Hochstadt Book Review: \booktitleArithmetic
Applied Mathematics (Donald Greenspan) 100--100
Martin Schechter Book Review: \booktitleApplied
Functional Analysis (Jean-Pierre Aubin) 101--101
Anonymous Other Books Received . . . . . . . . . . 101--103
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 104--108
Anonymous New Members . . . . . . . . . . . . . . 108--111
Anonymous Elected and Appointed Officials . . . . 112--112
Lloyd N. Trefethen Group Velocity in Finite Difference
Schemes . . . . . . . . . . . . . . . . 113--136
Giovanni Monegato Stieltjes Polynomials and Related
Quadrature Rules . . . . . . . . . . . . 137--158
Audrey Terras Non--Euclidean Harmonic Analysis . . . . 159--193
Harold Fredricksen A Survey of Full Length Nonlinear Shift
Register Cycle Algorithms . . . . . . . 195--221
C. G. Broyden A Matrix Problem . . . . . . . . . . . . 223--223
P. E. Merilees A Triple Sum . . . . . . . . . . . . . . 223--223
Nancy J. Boynton Zeros of a Determinant . . . . . . . . . 224--224
Jo Ann Clark and
O. G. Ruehr An Identity . . . . . . . . . . . . . . 224--224
M. L. Glasser Bessel Function Integrals . . . . . . . 224--224
J. S. Lew An Optimal Raster . . . . . . . . . . . 224--226
W. B. Jordan and
J. Grzesik Limit of a Sum . . . . . . . . . . . . . 226--228
D. J. Newman Book Review: \booktitleLimit of a Sum
(D. J. Newman) . . . . . . . . . . . . . 226--228
A. A. Jagers Book Review: \booktitleA Property of an
Inverse Laplace Transform (M. L.
Glasser) . . . . . . . . . . . . . . . . 228--229
A. A. Jagers and
N. Grossman and
I. I. Kotlarski and
N. Nasir and
R. Piessens A Property of an Inverse Laplace
Transform . . . . . . . . . . . . . . . 228--229
David A. Sanchez Book Review: \booktitleStability of
Linear Systems (C. J. Harris and J. F.
Miles) . . . . . . . . . . . . . . . . . 231--231
Webb Miller Book Review: \booktitleMatrix
Computations and Mathematical Software
(John R. Rice) . . . . . . . . . . . . . 232--233
A. H. Stroud Book Review: \booktitleNumerical
Quadrature and Cubature (H. Engels) . . 233--234
Ronald B. Guenther Book Review: \booktitleState Models of
Dynamic Systems (N. H. McClamroch) . . . 234--235
Steve Alpern and
Miroslav D. Asi\'c Book Review: \booktitleSearch Games
(Shmuel Gal) . . . . . . . . . . . . . . 235--236
Stuart S. Antman Book Review: \booktitleIntroduction to
Partial Differential Equations and
Hilbert Space Methods (Karl E.
Gustafson) . . . . . . . . . . . . . . . 237--238
Alan F. Karr Book Review: \booktitleStochastic
Processes and Integration (M. M. Rao) 238--239
Robert F. Millar Book Review: \booktitleWaves in Layered
Media (L. M. Brekhovskikh) . . . . . . . 239--241
R. P. Gilbert Book Review: \booktitleElliptic Systems
in the Plane (W. L. Wendland) . . . . . 241--244
Anonymous Other Books Received . . . . . . . . . . 244--247
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 248--253
Anonymous New Members . . . . . . . . . . . . . . 253--261
Aziz S. Odeh An Overview of Mathematical Modeling of
the Behavior of Hydrocarbon Reservoirs 263--273
James M. Tien and
Angelica Kamiyama On Manpower Scheduling Algorithms . . . 275--287
Marc Mangel Applied Mathematicians and Naval
Operators . . . . . . . . . . . . . . . 289--300
John L. Casti Recent Developments and Future
Perspectives in Nonlinear System Theory 301--331
James F. McGarvey Approximating the General Solution of a
Differential Equation . . . . . . . . . 333--337
B. N. Datta On the Solution of a Lyapunov Equation 339--339
M. Gaviano Limit of a Sequence . . . . . . . . . . 339--340
M. S. Klamkin Flight in an Irrotational Wind Field. II 340--340
T. C. Y. Lau A Conjecture on the Number of Real Zeros 340--340
K. A. Rao On the Expected Value of Two Statistics 340--340
J. M. Borwein and
G. P. H. Styan and
H. Wolkowicz Solutions: Some Inequalities Involving
Statistical Expressions (L. V. Foster) 340--342
J. M. Borwein and
G. P. H. Styan and
L. V. Foster and
H. Wolkowicz Some Inequalities Involving Statistical
Expressions . . . . . . . . . . . . . . 340--342
P. W. Jones and
P. Smith and
D. E. Raeside Book Review: \booktitleEstimation of the
Median Effective Dose in Bioassay (D. E.
Raeside) . . . . . . . . . . . . . . . . 342--344
P. W. Jones and
P. Smith and
D. E. Raeside Estimation of the Median Effective Dose
in Bioassay . . . . . . . . . . . . . . 342--345
R. E. Shafer Book Review: \booktitlePositivity of the
Coefficients of a Polynomial (Ko-Wei Lih
and E. T. H. Wang) . . . . . . . . . . . 344--345
N. T. Shawagfeh Book Review: \booktitlePower Series of
an Elliptic Function (M. L. Glasser) . . 345--346
N. T. Shawagfeh and
M. L. Glasser Power Series of an Elliptic Function . . 345--346
James A. Wilson Book Review: \booktitleIdentity for
Hypergeometric Functions (O. G. Ruehr) 346--347
J. A. Wilson Identity for Hypergeometric Functions 346--347
William W. Hager Book Review: \booktitleFunctional
Analysis and Linear Control Theory (J.
R. Leigh) . . . . . . . . . . . . . . . 349--349
Shanti S. Gupta Book Review: \booktitleSelecting and
Ordering Populations: a New Statistical
Methodology (Jean Dickinson Gibbons,
Ingram Olkin and Milton Sobel) . . . . . 350--351
John Miles Book Review: \booktitleHydrodynamic
Stability (P. G. Drazin and W. H. Reid) 351--354
F. A. Howes Book Review: \booktitleIntroduction to
Perturbation Techniques (Ali Hasan
Nayfeh) . . . . . . . . . . . . . . . . 355--356
C. Y. Chao Book Review: \booktitleCirculant
Matrices (Philip J. Davis) . . . . . . . 356--357
Wendell H. Fleming Book Review: \booktitleTheory and
Applications of Stochastic Differential
Equations (Zeev Schuss) . . . . . . . . 357--358
Theodore Laetsch Book Review: \booktitleDifferential
Equations-Introduction and Qualitative
Theory (Jane Cronin) . . . . . . . . . . 358--360
Gordon Simons Book Review: \booktitleSequential
Methods in Statistics (G. Barrie
Wetherill) . . . . . . . . . . . . . . . 360--361
Frank Spitzer Book Review: \booktitleA Course in the
Theory of Stochastic Processes (A. D.
Wentzell) . . . . . . . . . . . . . . . 361--362
J. G. Ecker Book Review: \booktitleOptimality in
Nonlinear Programming (Adi Ben-Israel,
Aharon Ben--Tal and Sanjo Zlobec) . . . 362--362
Daniel P. Heyman Book Review: \booktitleQueueing Tables
and Graphs (Frederick S. Hillier and
Oliver S. Yu with D. M. Avis, L. D.
Fosset, F. D. Lo, M. I. Reiman) . . . . 362--363
Pradeep Kumar Book Review: \booktitleThermodynamics
and Statistical Mechanics (Peter T.
Landsberg) . . . . . . . . . . . . . . . 363--364
I. J. Good Book Review: \booktitleNonparametric
Probability Density Estimation (Richard
A. Tapia and James R. Thompson) . . . . 364--365
K. K. Lee Book Review: \booktitleA First Course in
Differential Geometry (Chuan-Chih
Hsiung) . . . . . . . . . . . . . . . . 365--366
Donald Ludwig Book Review: \booktitleThe Genetics of
Altruism (S. A. Boorman and P. R.
Leavitt) . . . . . . . . . . . . . . . . 366--368
Charles Blair Book Review: \booktitleOptimization with
Disjunctive Constraints (Hanif D.
Sherali and C. M. Shetty) . . . . . . . 368--369
R. P. Boas Book Review: \booktitleAspects of
Contemporary Complex Analysis (D. A.
Brannan and J. G. Clunie, eds.) . . . . 369--369
Anonymous Other Books Received . . . . . . . . . . 369--371
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 373--377
Anonymous New Members . . . . . . . . . . . . . . 378--380
N. R. Lebovitz Perturbation Expansions on Perturbed
Domains . . . . . . . . . . . . . . . . 381--400
Joseph B. Keller Time-Dependent Queues . . . . . . . . . 401--412
T. Geveci The Significance of the Stability of
Difference Schemes in Different $ l^p
$-Spaces . . . . . . . . . . . . . . . . 413--426
David S. Watkins Understanding the $ Q R $ Algorithm . . 427--440
P. L. Lions On the Existence of Positive Solutions
of Semilinear Elliptic Equations . . . . 441--467
Carl E. Pearson Optimal Mapping from a Sphere onto a
Plane . . . . . . . . . . . . . . . . . 469--475
Peter Henrici A Definite Integral: Problem 82-17 . . . 477--477
J. C. Lagarias Malevolent Traffic Lights . . . . . . . 477--477
M. Burnashev ``Bad'' Triangles in Hilbert Space . . . 477--478
Gengzhe Chang A Binomial Coefficient Summation . . . . 478--478
B. R. Ebanks Book Review: \booktitleA Functional
Equation (K. R. Parthasarathy) . . . . . 478--478
A. M. Odlyzko and
L. A. Shepp and
D. Slepian Asymptotic Behavior of an $n$-Fold
Integral . . . . . . . . . . . . . . . . 478--478
M. L. Glasser Power Series of an Elliptic Function . . 479--479
W. B. Jordan Book Review: \booktitlePower Series of
an Elliptic Function (M. L. Glasser) . . 479--479
P. Guttorp Book Review: \booktitleA Learning Model
(Y. P. Sabharwal and B. R. Gupta) . . . 479--480
H. E. Fettis and
G. Wanner Book Review: \booktitleA Nonlinear
Second Order Differential Equation (E.
Y. Rodin) . . . . . . . . . . . . . . . 480--481
Otto G. Ruehr Book Review: \booktitleInequality or
Identity (E. A. van Doorn) . . . . . . . 481--482
O. G. Ruehr Inequality or Identity . . . . . . . . . 481--482
Hans G. Othmer Book Review: \booktitleSelf-Organization
in Nonequilibrium Systems (G. Nicolis
and I. Prigogine) . . . . . . . . . . . 483--485
Alan Lazer Book Review: \booktitleSturmian Theory
for Ordinary Differential Equations
(William T. Reid) . . . . . . . . . . . 485--489
Yudell L. Luke Book Review: \booktitleSequence
Transformations and Their Applications
(Jet Wimp) . . . . . . . . . . . . . . . 489--490
J. H. Ahlberg Book Review: \booktitleSpline Functions
(Larry Schumaker) . . . . . . . . . . . 490--491
Stanley Sawyer Book Review: \booktitleMathematical
Population Genetics (Warren J. Ewens) 491--492
Charles K. Chui Book Review: \booktitleApproximation
Theory and Methods (M. J. D. Powell) . . 493--494
Hans Sagan Book Review: \booktitleA History of the
Calculus of Variations from the 17th
Through the 19th Century (Herman H.
Goldstine) . . . . . . . . . . . . . . . 494--495
Martin Schechter Book Review: \booktitleSpectral Theory
of Ordinary Differential Operators
(Erich Muller-Pfeiffer) . . . . . . . . 495--496
Susan Friedlander Book Review: \booktitleFree Oscillations
of the Earth (E. R. Lapwood and T.
Usami) . . . . . . . . . . . . . . . . . 496--497
N. D. Kazarinoff Book Review: \booktitleCatastrophe
Theory and Bifurcations: Applications to
Urban and Regional Systems (A. G.
Wilson) . . . . . . . . . . . . . . . . 497--498
Kenneth R. Meyer Book Review: \booktitleTheory and
Applications of Hopf Bifurcation (D. D.
Hassard, N. D. Kazarinoff and Y-H Wan) 498--499
Nicholas J. Rose Book Review: \booktitleLinear Algebra
and Its Applications (Gilbert Strang) 499--501
R. E. Meyer Book Review: \booktitlePerturbation
Methods in Applied Mathematics (J.
Kevorkian and J. D. Cole) . . . . . . . 501--501
Martin Shubik Book Review: \booktitleAxiomatic Models
of Bargaining (Alvin E. Roth) . . . . . 501--502
Anonymous Other Books Received . . . . . . . . . . 502--504
Anonymous New Journal . . . . . . . . . . . . . . 504--504
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 505--510
Anonymous New Members . . . . . . . . . . . . . . 511--514
Anonymous Treasurer's Report . . . . . . . . . . . 515--516
L. B. Rall Book Review of ``Computer Arithmetic In
Theory and Practice'', by U. W. Kulisch
and W. L. Miranker . . . . . . . . . . . 585--588
Garrett Birkhoff Numerical Fluid Dynamics . . . . . . . . 1--34
Amiram Harten and
Peter D. Lax and
Bram van Leer On Upstream Differencing and
Godunov-Type Schemes for Hyperbolic
Conservation Laws . . . . . . . . . . . 35--61
J. N. Lyness When Not to Use an Automatic Quadrature
Routine . . . . . . . . . . . . . . . . 63--87
Howard Reinhardt Ionization In Diprotic Acids . . . . . . 89--91
Robert D. Small Population Growth in a Closed System . . 93--95
Gengzhe Chang and
Zun Shan A Binomial Summation . . . . . . . . . . 97--97
Gengzhe Chang Limit of a Power of a Matrix . . . . . . 97--97
A. Fransén A Factorial Polynomial Inequality . . . 97--97
J. Vijay A Covering Problem . . . . . . . . . . . 97--98
M. S. Klamkin An Isoperimetric Inequality . . . . . . 98--98
G. N. Lewis Book Review: \booktitleA Minimization
Problem (M. Goldberg) . . . . . . . . . 98--99
A. Meir A Covering Problem . . . . . . . . . . . 99--100
A. Meir Book Review: \booktitleA Covering
Problem (D. J. Newman) . . . . . . . . . 99--101
O. P. Lossers and
A. J. Jerri Book Review: \booktitleA Definite
Integral (A. J. Jerri) . . . . . . . . . 101--102
O. P. Lossers A Definite Integral . . . . . . . . . . 101--102
J. Boersma and
P. J. de Doelder and
J. K. M. Jansen Book Review: \booktitleA Volume Problem
(M. K. Lewis) . . . . . . . . . . . . . 102--106
J. Boersma and
P. J. Dedoelder and
J. K. M. Jansen A Volume Problem . . . . . . . . . . . . 102--106
O. P. Lossers Book Review: \booktitleA Maximum,
Minimum Problem (T. Sekiguchi) . . . . . 106--106
Anonymous Late Solutions . . . . . . . . . . . . . 107--107
M. S. Berger Book Review: \booktitleLes Équations De
Von Kármán. (Philippe G. Ciarlet and
Patrick Rabier) . . . . . . . . . . . . 109--109
John Synowiec Book Review: \booktitleIntroduction to
Partial Differential Equations and
Hilbert Space Methods (Karl E.
Gustafson) . . . . . . . . . . . . . . . 110--111
G. R. Blakely Book Review: \booktitleCryptography: a
Primer (Alan G. Konheim) . . . . . . . . 111--114
Earl Glen Whitehead, Jr. Book Review: \booktitleGraphs, Networks
and Algorithms (M. N. S. Swamp and K.
Thulasiraman) . . . . . . . . . . . . . 115--115
Peter Hess Book Review: \booktitleNonlinear
Mappings of Monotone Type (Dan Pascali
and Silvu-Sburlan) . . . . . . . . . . . 116--116
N. Harris McClamroch Book Review: \booktitleTime-Variant
Discrete-Time Systems (Gunter Ludyk) . . 116--117
Stan Fromovitz Book Review: \booktitleRedundancy and
Linear Programs (J. Telgen) . . . . . . 117--118
John W. Miles Book Review: \booktitleElements of
Soliton Theory (G. L. Lamb, Jr.) . . . . 118--121
Neal Zierler Book Review: \booktitleA Relational
Theory of Computing (John G. Sanderson) 121--122
F. A. Howes Book Review: \booktitleRandom
Differential Inequalities (G. S. Ladde
and V. Lakshmikantham) . . . . . . . . . 122--123
William W. Hager Book Review: \booktitleAnalysis of
Global Expansion Methods: Weakly
Asymptotically Diagonal Systems (L. M.
Delves and T. L. Freeman) . . . . . . . 123--124
Jeffrey A. Brumfield Book Review: \booktitleComputer Systems
Performance Modeling (Charles H. Sauer
and K. Mani Chandy) . . . . . . . . . . 124--125
R. J. Knops Book Review: \booktitleDynamic Coupled
Thermoelasticity (Ranjit S. Dhaliwal and
Avtar Singh) . . . . . . . . . . . . . . 126--127
W. K. Grassman Book Review: \booktitleMatrix-Geometric
Solutions in Stochastic Models (Marcel
F. Neuts) . . . . . . . . . . . . . . . 127--128
R. M. Redheffer Book Review: \booktitleMaximum
Principles and Their Applications (René
Sperb) . . . . . . . . . . . . . . . . . 128--129
H. E. Reinhardt Book Review: \booktitleRobust Statistics
(Peter J. Huber) . . . . . . . . . . . . 129--129
Robert McKelvey and
Hien Nguyen Book Review: \booktitleUrban Operations
Research (Richard C. Larson and Amedeo
R. Odoni) . . . . . . . . . . . . . . . 129--131
Frank Hoppensteadt Book Review: \booktitleMathematical
Modelling in Epidemiology (J. C.
Frauenthal) . . . . . . . . . . . . . . 131--131
R. N. Goss Book Review: \booktitleDigital Computer
Treatment of Partial Differential
Equations (V. Vemuri and W. Karplus) . . 131--132
R. B. Guenther Book Review: \booktitleQualitative
Analysis of Physical Problems (M.
Gitterman and V. Halpern) . . . . . . . 132--132
K. S. Kölbig Book Review: \booktitlePolylogarithms
and Associated Functions (Leonard Lewin) 133--136
Frank Harary Book Review: \booktitleExamples and
Counterexamples in Graph Theory (Michael
Capobianco and John C. Molluzzo) . . . . 136--138
Stephen Childress Book Review: \booktitleMathematical
Models in Molecular and Cellular Biology
(Lee A. Segel, ed.) . . . . . . . . . . 138--139
Anonymous Other Books Received . . . . . . . . . . 139--143
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 144--148
Anonymous Elected and Appointed Officials . . . . 149--149
Charles C. Brown and
James A. Koziol Statistical Aspects of the Estimation of
Human Risk from Suspected Environmental
Carcinogens . . . . . . . . . . . . . . 151--181
J. Ponstein Applying Some Modern Developments to
Choosing Your Own Lagrange Multipliers 183--199
Joseph B. Kruskal An Overview of Sequence Comparison: Time
Warps, String Edits, and Macromolecules 201--237
Jens Gravesen Catastrophe Theory and Caustics . . . . 239--247
Morton Klein Complementary Slackness and Dynamic
Programming . . . . . . . . . . . . . . 249--253
Lance D. Drager A Simple Theorem on Riemann Integration,
Based on Classroom Experience . . . . . 255--259
Yves Nievergelt The Concept of Elasticity in Economics 261--265
J. H. Hubbell A Rectangular Source . . . . . . . . . . 267--267
T. C. Y. Lau A Conjecture on the Number of Real Zeros 267--267
R. Cameron and
S. McKee A Conjectured Monotonic Sequence . . . . 267--268
J. Gruendler A Linear Differential Equation . . . . . 268--268
W. B. Jordan Gamma Function Expansions . . . . . . . 268--268
P. C. Liu An Iteration Problem . . . . . . . . . . 268--268
A. M. Gleason Book Review: \booktitleFactorization of
a Homogeneous Polynomial (A. M. Gleason) 268--269
W. B. Jordan Book Review: \booktitleA Triple Sum (P.
E. Merilees) . . . . . . . . . . . . . . 269--271
P. E. Merilees A Triple Sum . . . . . . . . . . . . . . 269--271
N. J. Boynton Zeros of a Determinant . . . . . . . . . 271--273
A. A. Jagers Book Review: \booktitleZeros of a
Determinant (Nancy J. Boynton) . . . . . 271--273
J. A. Clark and
O. G. Ruehr An Identity . . . . . . . . . . . . . . 273--274
Robert E. Shafer Book Review: \booktitleAn Identity (Jo
Ann Clark and O. G. Ruehr) . . . . . . . 273--274
Lawrence Zalcman Book Review: \booktitleThe Radon
Transform (Sigurdur Helgason) . . . . . 275--278
Robert E. Jamison-Waldner Book Review: \booktitleGeometry and
Convexity: a Study in Mathematical
Methods (Paul J. Kelly and Max L. Weiss
) . . . . . . . . . . . . . . . . . . . 278--279
K. R. Meyer Book Review: \booktitleAn Introduction
to Nonlinear Oscillations (Ronald Elbert
Mickens) . . . . . . . . . . . . . . . . 279--280
Alan F. Karr Book Review: \booktitleA Second Course
in Stochastic Processes (Samuel Karlin
and Howard M. Taylor) . . . . . . . . . 280--281
T. A. Porsching Book Review: \booktitleApplied Iterative
Methods (Louis A. Hageman and David M.
Young) . . . . . . . . . . . . . . . . . 281--283
Janusz S. Kowalik Book Review: \booktitlePractical
Optimization (Philip E. Gill, Walter
Murray and Margaret H. Wright) . . . . . 283--284
Hans Sagan Book Review: \booktitleAn Introduction
to Applied Optimal Control (Greg
Knowles) . . . . . . . . . . . . . . . . 284--286
Youcef Saad Book Review: \booktitleThe Symmetric
Eigenvalue Problem (Beresford N.
Parlett) . . . . . . . . . . . . . . . . 286--287
Wendell H. Fleming Book Review: \booktitleControlled
Diffusion Processes (N. V. Krylov) . . . 287--288
N. D. Kazarinoff Book Review: \booktitleQuadratic Forms
Theory and Differential Equations (John
Gregory) . . . . . . . . . . . . . . . . 288--289
Alwyn Scott Book Review: \booktitleSolitons and the
Inverse Scattering Transform (Mark J.
Ablowitz and Harvey Segur) . . . . . . . 289--290
Anonymous Other Books Received . . . . . . . . . . 290--294
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 295--300
Anonymous New Members . . . . . . . . . . . . . . 301--310
E. G. Coffman, Jr. An Introduction to Combinatorial Models
of Dynamic Storage Allocation . . . . . 311--325
Joseph W. Rogers Locations of Roots of Polynomials . . . 327--342
T. A. Burton Structure of Solutions of Volterra
Equations . . . . . . . . . . . . . . . 343--364
T. J. Ypma Finding a Multiple Zero by
Transformations and Newton-Like Methods 365--378
David Slepian Some comments on Fourier analysis,
uncertainty and modeling . . . . . . . . 379--393
Stephen D. Lewis Adjustment Time in the Neoclassical
Growth model: an Optimal Control
Solution . . . . . . . . . . . . . . . . 395--400
D. Borwein and
P. B. Borwein A Generalized Arithmetic-Geometric Mean 401--401
G. N. Lewis A Nonnegative Determinant . . . . . . . 401--401
G. E. Andrews Truncation of the Rogers-Ramanujan Theta
Series . . . . . . . . . . . . . . . . . 402--402
M. A. Abdelkader Pendulum with Variable Length . . . . . 402--403
J. C. Lagarias and
J. E. Mazo and
L. A. Shepp and
B. McKay An Inequality for Walks in a Graph . . . 403--403
B. G. McLachlan and
G. Beaupre and
A. B. Cox and
L. Gore Book Review: \booktitleFalling Dominoes
(D. E. Daykin) . . . . . . . . . . . . . 403--404
B. G. Mclachlan and
G. Beaupre and
A. B. Cox and
L. Gore Falling Dominoes . . . . . . . . . . . . 403--404
C. G. Broyden Book Review: \booktitleA Matrix Problem
(C. G. Broyden) . . . . . . . . . . . . 405--405
R. E. Artz and
M. A. Golberg and
K. A. Rao Book Review: \booktitleOn the Expected
Value of Two Statistics (K. A. Rao) . . 405--406
R. E. Artz and
M. A. Golberg On the Expected Value of Two Statistics 405--406
M. S. Klamkin Book Review: \booktitleFlight in an
Irrotational Wind Field. II (M. S.
Klamkin) . . . . . . . . . . . . . . . . 406--407
H. I. Freedman Book Review: \booktitleCase Studies in
Mathematical Modelling (R. Bradley, R.
D. Girson and M. Cross, eds.) . . . . . 409--410
R. P. Boas Book Review: \booktitleA Second Course
on Real Functions (A. C. M. Van Rooij
and W. H. Schikhof) . . . . . . . . . . 410--410
Stuart S. Antman Book Review: \booktitleAn Introduction
to Continuum Mechanics (Morton E.
Gurtin) . . . . . . . . . . . . . . . . 410--411
S. S. Antman An Introduction to Continuum-Mechanics
--- Gurtin, M. E. . . . . . . . . . . . 410--411
R. E. Mortensen Book Review: \booktitleNonlinear System
Theory: The Volterra/Wiener Approach
(Wilson J. Rugh) . . . . . . . . . . . . 412--414
S. Haber Applications of Number Theory of
Numerical Analysis --- Hua, L. K., Wang,
Y. . . . . . . . . . . . . . . . . . . . 414--416
Seymour Haber Book Review: \booktitleApplications of
Number Theory of Numerical Analysis (Loo
Keng Hua and Yuan Wang) . . . . . . . . 414--416
S. Zlobec Book Review: \booktitleApproaches to the
Theory of Optimization (J. Ponstein) . . 416--417
Robert Hermann Book Review: \booktitleGlobal Lorentzian
Geometry (John K. Beem and Paul E.
Ehrlich) . . . . . . . . . . . . . . . . 417--418
R. Hermann Global Lorentzian Geometry --- Beem, J.
K., Ehrlich, P. E. . . . . . . . . . . . 417--418
A. Lemoine Applied Probability --- Haight, F. . . . 418--419
Austin Lemoine Book Review: \booktitleApplied
Probability (Frank Haight) . . . . . . . 418--419
M. Slemrod Book Review: \booktitlePower System
Stability (M. A. Pai) . . . . . . . . . 419--420
Miron Tismenetsky Book Review: \booktitleKronecker
Products and Matrix Calculus (Alexander
Graham) . . . . . . . . . . . . . . . . 420--421
M. Tismenetsky Kronecker Products and Matrix Calculus
--- Graham, A. . . . . . . . . . . . . . 420--421
David A. Sánchez Book Review: \booktitleMathematical
Models of Population Biology (Frank F.
Hoppensteadt) . . . . . . . . . . . . . 421--422
D. A. Sanchez Mathematical Models of Population
Biology --- Hoppensteadt, F. F. . . . . 421--422
K. W. Smillie Book Review: \booktitleCharles Babbage,
Pioneer of the Computer, by Anthony
Hyman . . . . . . . . . . . . . . . . . 422--423
Richard T. Wong Book Review: \booktitleCombinatorial
Optimization: Algorithms and Complexity
(Christos H. Papadimitriou and Kenneth
Steiglitz) . . . . . . . . . . . . . . . 424--425
R. T. Wong Combinatorial Optimization ---
Algorithms and Complexity ---
Papadimitriou, C. H. , Steiglitz, K. . . 424--425
Oscar Buneman Book Review: \booktitleComputer
Simulation Using Particles (R. W.
Hockney and J. W. Eastwood) . . . . . . 425--426
O. Buneman Computer Simulation Using Particles ---
Hockney, R. W., Eastwood, J. W. . . . . 425--426
C. Y. Chao Book Review: \booktitleElements of
Algebra and Algebraic Computing (John D.
Lipson) . . . . . . . . . . . . . . . . 426--426
Reese Prosser Book Review: \booktitleSemi-Classical
Approximation in Quantum Mechanics (V.
P. Maslov and M. V. Fedoriuk) . . . . . 426--429
R. Prosser Semi-Classical Approximation in Quantum
Mechanics --- Maslov, V. P, Fedoriuk, M.
V. . . . . . . . . . . . . . . . . . . . 426--429
F. H. Brownell Book Review: \booktitleThe Logic of
Quantum Mechanics (E. G. Beltrametti and
Gianni Cassinelli) . . . . . . . . . . . 429--431
Eldon R. Hansen Book Review: \booktitleNumerical
Optimization of Computer Models
(Hans-Paul Schwefel) . . . . . . . . . . 431--433
E. R. Hansen Numerical Optimization of Computer
Models --- Schwefel, H. P. . . . . . . . 431--433
T. L. Clarke Techniques and Applications of Path
Integration --- Schulman, L. S. . . . . 433--434
Thomas L. Clarks Book Review: \booktitleTechniques and
Applications of Path Integration
(Lawrence S. Schulman) . . . . . . . . . 433--434
R. B. Kellogg Book Review: \booktitleComputer Methods
for Partial Differential Equations,
Volume L. Elliptic Equations and the
Finite-Element Method (Robert
Vichnevetsky) . . . . . . . . . . . . . 434--435
Harry Hochstadt Book Review: \booktitleGreen'S Functions
and Transfer Functions Handbook
(Anatoliy G. Butkovskiy) . . . . . . . . 435--436
H. Hochstadt Green Functions and Transfer Functions
Handbook --- Butkovskiy, A. G. . . . . . 435--436
C. O. Horgan Book Review: \booktitleContinuum
Mechanics (A. J. M. Spencer) . . . . . . 436--437
C. O. Horgan Book Review: \booktitleAn Introduction
to the Theory of Elasticity (R. J. Atkin
and N. Fox) . . . . . . . . . . . . . . 437--438
Neal Zierler Book Review: \booktitleElementary
Computability, Formal Languages, and
Automata (Robert McNaughton) . . . . . . 438--438
N. Zierler Elementary Computability, Formal
Languages, and Automata --- Mcnaughton,
R. . . . . . . . . . . . . . . . . . . . 438--438
T. Laetsch Applied Functional Analysis ---
Balakrishnan, A. V. . . . . . . . . . . 439--440
Theodore Laetsch Book Review: \booktitleApplied
Functional Analysis (A. V. Balakrishnan) 439--440
Jeffrey L. Arthur Book Review: \booktitleStochastic Models
in Operations Research, Volume I.
(Daniel P. Heyman and Matthew J. Sobel) 440--441
J. L. Arthur Stochastic Models in Operations
Research, Vol 1 --- Heyman, D. P.,
Sobel, M. J. . . . . . . . . . . . . . . 440--441
Ekkehard W. Sachs Book Review: \booktitleOptimal Control
of Distributed Parameter Systems (N. U.
Ahmed and K. L. Teo) . . . . . . . . . . 441--442
E. W. Sachs Optimal Control of Distributed Parameter
Systems --- Ahmed, N. U., Teo, K. L. . . 441--442
Wang Peizhuang Book Review: \booktitlePattern
Recognition with Fuzzy Objective
Function Algorithms (James C. Bezdek) 442--442
P. H. Wang Pattern Recognition with Fuzzy Objective
Function Algorithms --- Bezdek, J. C. 442--442
Anonymous Other Books Received . . . . . . . . . . 442--446
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 447--451
Anonymous New Members . . . . . . . . . . . . . . 452--454
O. R. Asfar and
A. H. Nayfeh The Application of the Method of
Multiple Scales to Wave Propagation in
Periodic Structures . . . . . . . . . . 455--480
A. G. Malliaris Itô's Calculus in Financial Decision
Making . . . . . . . . . . . . . . . . . 481--496
Kenneth P. Bube and
Robert Burridge The One-Dimensional Inverse Problem of
Reflection Seismology . . . . . . . . . 497--559
H. I. Freedman and
S. D. Riemenschneider Determining the Path of the Rear Wheels
of a Bus . . . . . . . . . . . . . . . . 561--567
A. D. Rawlins Two Legendre Polynomial Identities . . . 569--569
T. ten Raa A System of Probabilistic Inequalities 569--570
T. D. Rogers An Infinite System of Differential
Equations . . . . . . . . . . . . . . . 570--570
P. Schweitzer Properties of an Operator . . . . . . . 570--571
M. L. Glasser A Sum of Legendre Polynomials . . . . . 571--571
O. P. Lossers Book Review: \booktitleMalevolent
Traffic Lights (J. C. Lagarias) . . . . 571--572
Andrew H. Van Tuyl and
Harry L. Johnson Book Review: \booktitleA Definite
Integral (Peter Henrici) . . . . . . . . 572--573
H. L. Johnson A Definite Integral . . . . . . . . . . 573--573
P. Erd\Hos Book Review: \booktitle``Bad'' Triangles
in Hilbert Space (M. Burnashev) . . . . 574--575
J. Roppert Book Review: \booktitleA Binomial
Coefficient Summation (Gengzhe Chang) 575--576
J. Grzesik Book Review: \booktitleAsymptotic
Behavior of an $n$-fold Integral (A. M.
Odlyzko, L. A. Shepp and D. Slepian) . . 576--577
W. H. Mills Algorithmic Methods in Optimal Control
--- Gruver, W. A., Sach, E. . . . . . . 579--580
Wendell H. Mills Book Review: \booktitleAlgorithmic
Methods in Optimal Control (W. A. Gruver
and E. Sach) . . . . . . . . . . . . . . 579--580
S. R. Bernfeld Book Review: \booktitleInstabilities and
Catastrophes in Science and Engineering
(J. M. T. Thompson) . . . . . . . . . . 580--581
R. N. Goss Book Review: \booktitleNumerical
Solution of Partial Differential
Equations in Science and Engineering
(Leon Lapidus and George F. Pinder) . . 581--582
Mourad Ismail Book Review: \booktitleSpecial Functions
in Queuing Theory (H. M. Srivastava and
R. K. Kashya) . . . . . . . . . . . . . 582--585
M. Ismail Special Functions in Queuing Theory ---
Srivastava, H. M., Kashyap, R. K . . . . 582--585
L. B. Rall Book Review: \booktitleComputer
Arithmetic in Theory and Practice
(Ulrich W. Kulisch and Willard L.
Miranker) . . . . . . . . . . . . . . . 585--588
R. B. Guenther Applying Mathematics --- a Course in
Mathematical Modeling --- Burghes, D.
N., Huntley, I., Mcdonald, J. . . . . . 588--589
Ronald B. Guenther Book Review: \booktitleApplying
Mathematics: a Course in Mathematical
Modelling (D. N. Burghes, I. Huntley and
J. McDonald) . . . . . . . . . . . . . . 588--589
Frederick J. Beutler Book Review: \booktitleThe Single Server
Queue (J. W. Cohen) . . . . . . . . . . 589--590
F. J. Beutler The Single Server Queue --- Cohen, J. W. 589--590
Steve Barnett Book Review: \booktitleMatrix
Polynomials (I. Gohberg, P. Lancaster
and L. Rodman) . . . . . . . . . . . . . 591--592
S. Barnett Matrix Polynomials --- Gohberg, I.,
Lancaster, P., Rodman, L. . . . . . . . 591--592
L. F. Takacs Book Review: \booktitleLattice Path
Counting and Applications (Sri Gopal
Mohanty) . . . . . . . . . . . . . . . . 592--593
R. B. Guenther Book Review: \booktitleApplied
Mathematics: Principles, Techniques and
Applications (James A. Cochran) . . . . 593--594
Michael Marcus Book Review: \booktitleProbability
Distributions on Linear Spaces (N. N.
Vakhania) . . . . . . . . . . . . . . . 594--596
M. Marcus Probability Distributions on Linear
Spaces --- Vakhania, N. N. . . . . . . . 594--596
Charles Johnson Book Review: \booktitleEconomics For
Mathematicians (J. W. S. Cassels) . . . 596--597
C. Johnson Economics for Mathematicians ---
Cassels, J. W. S. . . . . . . . . . . . 596--597
Claes Johnson Book Review: \booktitleUniform Numerical
Methods for Problems with Initial and
Boundary Layers (E. P. Doolan, J. J. H.
Miller and W. H. A. Schilders) . . . . . 597--598
C. Johnson Uniform Numerical Methods for Problems
with Initial and Boundary Layers ---
Doolan, E. D., Miller, J. J. H.,
Schilders, W. H. A. . . . . . . . . . . 597--598
Donald B. Johnson Book Review: \booktitleCombinatorial
Algorithms (T. C. Hu) . . . . . . . . . 599--599
D. B. Johnson Combinatorial Algorithms --- Hu, T. C. 599--599
Anonymous Other Books Received . . . . . . . . . . 600--603
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 604--609
Anonymous New Members . . . . . . . . . . . . . . 610--616
Anonymous Treasurer's Report . . . . . . . . . . . 617--617
Robert Fourer Staircase Matrices and Systems . . . . . 1--70
Stanley P. Gudder An Extension of Classical Measure Theory 71--89
J. J. Dongarra and
F. G. Gustavson and
A. Karp Implementing Linear Algebra Algorithms
for Dense Matrices on a Vector Pipeline
Machine . . . . . . . . . . . . . . . . 91--112
Paul K. Mazaika A Lattice Summation Using the Mean Value
Theorem for Harmonic Functions . . . . . 113--115
B. E. Eichinger An Integral on $ {\rm SO}(3) $ . . . . . 117--117
M. A. Abdelkader A Nonlinear Differential Equation . . . 118--118
B. C. Berndt A Definite Integral . . . . . . . . . . 118--118
M. L. Glasser A Vanishing Definite Integral . . . . . 118--118
Tian Jinghuang Zeros of a Definite Integral . . . . . . 118--118
W. A. J. Luxemburg and
Robert E. Shafer Book Review: \booktitleA Factorial
Polynomial Inequality (A. Fransén) . . . 118--121
W. A. J. Luxemburg A Factorial Polynomial Inequality . . . 118--121
Michael Renardy Book Review: \booktitleLimit of a Power
of a Matrix (Gengzhe Chang) . . . . . . 121--122
M. Renardy Limit of a Power of a Matrix . . . . . . 121--122
D. R. Breach and
H. Prodinger and
D. E. Knuth Book Review: \booktitleA Binomial
Summation (Gengzhe Chang and Zun Shan) 122--124
O. P. Lossers Book Review: \booktitleA Covering
Problem (J. Vijay ) . . . . . . . . . . 124--124
Mark J. Ablowitz Book Review: \booktitleNonlinear Partial
Differential Equations in Physical
Problems (D. Graffi) . . . . . . . . . . 125--125
M. J. Ablowitz Nonlinear Partial-Differential Equations
in Physical Problems --- Graffi, D. . . 125--125
Joseph B. Keller Book Review: \booktitleTechniques and
Applications of Path Integration
(Lawrence S. Schulman) . . . . . . . . . 125--125
J. B. Keller Techniques and Applications of Path
Integration --- Schulman, L. S. . . . . 125--125
G. R. Blakley Book Review: \booktitleSecure
Communications and Asymmetric
Cryptosystems (Gustavus J. Simmons, ed.) 126--127
James A. Cochran Book Review: \booktitleLinear Integral
Operators (K. Jörgens) . . . . . . . . . 128--129
R. P. Boas Book Review: \booktitleIntermediate Real
Analysis (Emanuel Fischer) . . . . . . . 129--129
Gerhard Merz Book Review: \booktitleComplex Contour
Integral Representation of Cardinal
Spline (Walter Schempp) . . . . . . . . 130--131
G. Merz Complex Contour Integral Representation
of Cardinal Spline Functions ---
Schempp, W. . . . . . . . . . . . . . . 130--131
I. J. Good Book Review: \booktitleThe Fractal
Geometry of Nature, by Beno\^\it B.
Mandelbrot . . . . . . . . . . . . . . . 131--132
Stanislaw H. Zak Book Review: \booktitleLinear Systems
(Thomas Kailath) . . . . . . . . . . . . 132--135
S. H. Zak Linear Systems --- Kailath, T. . . . . . 132--135
John P. Mayberry Book Review: \booktitleFair
Representation (Michel L. Balinski and
H. Peyton Young) . . . . . . . . . . . . 135--137
J. P. Mayberry Fair Representation --- Balinski, M. L.,
Young, H. P. . . . . . . . . . . . . . . 135--137
Alain Damlamian Book Review: \booktitleWeak and
Variational Methods for Moving Boundary
Problems (C. M. Elliott and J. R.
Ockendon) . . . . . . . . . . . . . . . 137--138
A. Damlamian Weak and Variational Methods for Moving
Boundary Problems --- Elliott, C. M.,
Ockendon, J. R. . . . . . . . . . . . . 137--138
K. K. Lee Book Review: \booktitleBäcklund
Transformations and Their Applications
(C. Rogers and W. F. Shadwick) . . . . . 138--141
A. S. Fokas Book Review: \booktitleAsymptotic
Methods in Nonlinear Wave Theory (A.
Jeffrey and T. Kawahara) . . . . . . . . 141--142
Bengt Aspvall Book Review: \booktitleMathematics for
the Analysis of Algorithms (Daniel H.
Greens and Donald E. Knuth) . . . . . . 142--143
B. Aspvall Mathematics for the Analysis of
Algorithms --- Greene, D. H., Knuth, D.
E. . . . . . . . . . . . . . . . . . . . 142--143
Richard Tapia Book Review: \booktitlePractical Methods
of Optimization, Volume 2: Constrained
Optimization (R. Fletcher) . . . . . . . 143--144
R. Tapia Practical Methods of Optimization, Vol
2, Constrained Optimization ---
Fletcher, R. . . . . . . . . . . . . . . 143--144
W. F. Ames Book Review: \booktitleOperator
Inequalities (Johann Schroeder) . . . . 144--145
Anonymous Other Books Received . . . . . . . . . . 145--150
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 151--156
Anonymous New Members . . . . . . . . . . . . . . 157--161
Anonymous Elected and Appointed Officials . . . . 162--162
J. R. Kuttler and
V. G. Sigillito Eigenvalues of the Laplacian in Two
Dimensions . . . . . . . . . . . . . . . 163--193
Richard A. Redner and
Homer F. Walker Mixture Densities, Maximum Likelihood
and the EM Algorithm . . . . . . . . . . 195--239
David P. Ellerman Arbitrage Theory --- a Mathematical
Introduction . . . . . . . . . . . . . . 241--261
Frank H. Mathis and
Danny W. Turner Estimating the Length of Material
Wrapped Around a Cylindrical Core . . . 263--266
Joseph B. Keller Probability of a Shutout in Racquetball 267--268
Jerry L. Fields and
Yudell L. Luke Inequality for the Roots of a
Hypergeometric Polynomial . . . . . . . 269--270
Richard Askey A $q$-Extension of Cauchy's Beta
Integral . . . . . . . . . . . . . . . . 270--270
M. L. Glasser Another Definite Integral . . . . . . . 271--271
J. A. Morrison A Definite Integral . . . . . . . . . . 271--271
Henry E. Fettis A Polynomial Identity . . . . . . . . . 271--272
Otto G. Ruehr Evaluation of a Hypergeometric Function 272--272
H. M. Srivastava A Weyl Fractional Integral . . . . . . . 272--273
M. S. Klamkin A Minimum Value . . . . . . . . . . . . 273--273
T. C. Y. Lau A Conjecture on the Number of Real Zeros 273--275
G. Wanner A Conjecture on the Number of Real Zeros 273--275
M. S. Klamkin An Isoperimetric Inequality . . . . . . 275--276
M. L. Glasser A Rectangular Source . . . . . . . . . . 276--278
O. P. Lossers Gamma Function Expansions . . . . . . . 278--279
L. W. Fullerton An Iteration Problem . . . . . . . . . . 279--281
C. Georghion A Linear Differential Equation . . . . . 282--283
C. Georghiou A Linear-Differential Equation . . . . . 282--283
Anonymous Late Solutions . . . . . . . . . . . . . 283--283
M. H. Protter Book Review: \booktitleInstability,
Nonexistence and Weighted Energy Methods
in Fluid Dynamics and Related Theories
(B. Straughan) . . . . . . . . . . . . . 285--286
Murray S. Klamkin Book Review: \booktitleA Problem Seminar
(Donald J. Newman) . . . . . . . . . . . 286--289
M. S. Klamkin A Problem Seminar --- Newman, D. J. . . 286--289
Iain S. Duff Book Review: \booktitleComputer Solution
of Large Sparse Positive Definite
Systems (Alan George and Joseph W. Liu) 289--291
Kenneth Palmer Book Review: \booktitleDifferential
Equations: Classical to Controlled
(Dahlard L. Lukes) . . . . . . . . . . . 291--292
K. Palmer Differential Equations --- Classical to
Controlled --- Lukes, D. L. . . . . . . 291--292
Thomas F. Banchoff Book Review: \booktitleCatastrophe (D.
K. Sinha) . . . . . . . . . . . . . . . 292--293
T. F. Banchoff Catastrophe --- Sinha, D. K. . . . . . . 292--293
Alwyn Scott Book Review: \booktitleSolitons and
Nonlinear Wave Equations (R. K. Dodd, J.
C. Eilbeck, J. D. Gibbon and H. C.
Morris) . . . . . . . . . . . . . . . . 293--294
A. Scott Solitons and Nonlinear Wave Equations
--- Dodd, R. K., Eilbeck, J. C., Gibbon,
J. D., Morris, H. C. . . . . . . . . . . 293--294
Ronald A. Thisted Book Review: \booktitleStatistical
Software: a Comparative Review (Ivor
Francis) . . . . . . . . . . . . . . . . 294--297
R. A. Thisted Statistical Software --- a Comparative
Review --- Francis, I. . . . . . . . . . 294--297
R. B. Guenther Book Review: \booktitleDifferential
Equation Models (Martin Braun, Courtney
S. Coleman and Donald A. Drew, eds.) . . 297--298
K. R. Meyer Book Review: \booktitleRegular and
Stochastic Motion (A. J. Lichtenberg and
M. A. Lieberman) . . . . . . . . . . . . 298--299
Martin Schechter Book Review: \booktitleSpectral Theory
and Wave Operators for the Schrödinger
Equation (A. M. Berthier) . . . . . . . 299--299
M. Schechter Spectral Theory and Wave Operators for
the Schrödinger-Equation --- Berthier, A.
M. . . . . . . . . . . . . . . . . . . . 299--299
Richard Serfozo Book Review: \booktitleOptimization Over
Time Volume 1: Dynamic Programming and
Stochastic Control (Peter Whittle) . . . 299--302
R. Serfozo Optimization over Time, Vol 1, Dynamic
Programming and Stochastic Control ---
Whittle, P. . . . . . . . . . . . . . . 299--302
R. N. Goss Book Review: \booktitleAlgebraic
Automata Theory (W. M. L. Holcombe) . . 302--302
F. Knight Brownian Motion and Diffusion ---
Freedman, D. . . . . . . . . . . . . . . 302--303
Frank Knight Book Review: \booktitleBrownian Motion
and Diffusion (David Freedman) . . . . . 302--303
Wendell H. Fleming Book Review: \booktitleStochastic
Calculus and Applications (Robert J.
Elliott) . . . . . . . . . . . . . . . . 303--304
W. H. Fleming Stochastic Calculus and Applications ---
Elliott, R. J. . . . . . . . . . . . . . 303--304
Robert Hermann Book Review: \booktitleExterior
Differential Systems and the Calculus of
Variations. (Phillip A. Griffiths) . . . 304--306
R. Hermann Exterior Differential Systems and the
Calculus of Variations --- Griffiths, P.
A. . . . . . . . . . . . . . . . . . . . 304--306
Lawrence C. Evans Book Review: \booktitleVariational
Principles and Free Boundary Problems.
(Avner Friedman) . . . . . . . . . . . . 307--308
L. C. Evans Variational Principles and Free-Boundary
Problems --- Friedman, A. . . . . . . . 307--308
Anonymous Other Books Received . . . . . . . . . . 309--311
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 312--317
Anonymous New Members . . . . . . . . . . . . . . 318--322
David Colton The Inverse Scattering Problem for
Time-Harmonic Acoustic Waves . . . . . . 323--350
J. M. Borwein and
P. B. Borwein The Arithmetic-Geometric Mean and Fast
Computation of Elementary Functions . . 351--366
Michael J. Todd Quasi-Newton Updates in Abstract Vector
Spaces . . . . . . . . . . . . . . . . . 367--378
David S. Watkins Isospectral Flows . . . . . . . . . . . 379--391
Victor Pan How Can We Speed Up Matrix
Multiplication? . . . . . . . . . . . . 393--415
H. Arthur De Kleine A Note on the Asymptotic Stability of
Periodic Solutions of Autonomous
Differential Equations . . . . . . . . . 417--421
Yves Nievergelt Navigation on Riemannian Oceans . . . . 423--427
Gengzhe Chang A System of Ordinary Differential
Equations . . . . . . . . . . . . . . . 429--429
E. N. Gilbert and
L. A. Shepp A Resistance Problem . . . . . . . . . . 429--429
Julia Abrahams Three Double Integrals . . . . . . . . . 430--430
Y. P. Sabharwal and
V. K. Malhotra Patterns in a Sequence of Symmetric
Bernoulli Trials . . . . . . . . . . . . 430--430
Henry E. Fettis A Summation of Bessel Functions . . . . 430--431
Jacques Farges A Nonnegative Determinant . . . . . . . 431--432
D. Borwein and
P. B. Borwein A Generalized Arithmetic-Geometric Mean 433--433
W. B. Jordan Book Review: \booktitleTruncation of the
Rogers--Ramanujan Theta Series (G. E.
Andrews) . . . . . . . . . . . . . . . . 433--434
Deborah Frank Lockhart Book Review: \booktitlePendulum with
Variable Length (M. A. Abdelkader) . . . 436--437
D. F. Lockhart Pendulum with Variable Length . . . . . 436--437
R. B. Kellogg Book Review: \booktitleNonlinear
Equivalence, Reduction of PDEs to ODEs
and Fast Convergent Numerical Methods
(E. E. Rosinger) . . . . . . . . . . . . 439--439
Lloyd N. Trefethen Book Review: \booktitleFourier Analysis
of Numerical Approximations of
Hyperbolic Equations (R. Vichnevetsky
and J. B. Bowles) . . . . . . . . . . . 439--441
L. N. Trefethen Fourier Analysis of Numerical
Approximations of Hyperbolic Equations
--- Vichnevetsky, R., Bowles, J. B. . . 439--441
E. O. Roxin Book Review: \booktitleOptimization
Theory and Applications (Lamberto
Cesari) . . . . . . . . . . . . . . . . 441--443
Stephen R. Bernfeld Book Review: \booktitleNonlinear
Time-Discrete Systems (M. Gossel) . . . 443--444
S. R. Bernfeld Nonlinear Time-Discrete Systems ---
Gossel, M. . . . . . . . . . . . . . . . 443--444
K. G. Binmore Book Review: \booktitleDynamic
Noncooperative Game Theory (Tamer Baser
and Geert Jan Olsder) . . . . . . . . . 444--445
C. E. Lemke Book Review: \booktitlePathways to
Solutions, Fixed Points, and Equilibria
(C. B. Garcia and W. J. Zangwill) . . . 445--446
Melvyn Berger Book Review: \booktitleSolvability of
Nonlinear Equations and Boundary Value
Problems (Svatopluk Fucík) . . . . . . . 446--446
M. Berger Solvability of Nonlinear Equations and
Boundary-Value Problems --- Fucik, S. 446--446
Richard T. Durrett Book Review: \booktitlePercolation
Theory for Mathematicians (Harry Kesten) 446--448
R. T. Durrett Percolation Theory for Mathematicians
--- Kesten, H. . . . . . . . . . . . . . 446--448
Alan F. Karr Book Review: \booktitleStochastic
Processes (Sheldon M. Ross) . . . . . . 448--449
A. F. Karr Stochastic-Processes --- Ross, S. M. . . 448--449
W. Enright Book Review: \booktitleStable Recursions
with Applications to the Numerical
Solution of Stiff Systems (J. R. Cash) 450--450
David V. Finch Book Review: \booktitleComputed
Tomography. (Lawrence A. Shepp, ed) . . 450--452
D. V. Finch Computed Tomography --- Shepp, L. A. . . 450--452
Harvey Cohn Book Review: \booktitleIntroduction to
the Theory of Numbers (Harold N.
Shapiro) . . . . . . . . . . . . . . . . 452--454
H. Cohn Introduction to the Theory of Numbers
--- Shapiro, H. N. . . . . . . . . . . . 452--454
Anonymous Other Books Received . . . . . . . . . . 454--460
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 461--466
Anonymous New Members . . . . . . . . . . . . . . 467--472
Arthur Jaffe Ordering the Universe --- the Role of
Mathematics . . . . . . . . . . . . . . 473--500
Petar V. Kokotovi\'c Applications of Singular Perturbation
Techniques to Control Problems . . . . . 501--550
Ernesto Bonomi and
Jean-Luc L. Lutton The $N$-City Travelling Salesman
Problem: Statistical Mechanics and the
Metropolis Algorithm . . . . . . . . . . 551--568
Ghasi R. Verma and
Joseph B. Keller Hanging Rope of Minimum Elongation . . . 569--571
David Newman In a random walk the number of ``unique
experiences'' is two on the average . . 573--574
L. M. Chiappetta and
D. R. Sobel The Temperature Distribution within a
Hemisphere Exposed to a Hot Gas Stream 575--577
E. Onofri A Nonlinear Variational Problem . . . . 579--579
J. C. Alexander On the Motion of a Trailer-Truck . . . . 579--580
E. E. Doberkat A Hyper-Volume . . . . . . . . . . . . . 580--580
J. C. Lagarias and
J. E. Mazo and
L. A. Shepp and
B. McKay An Inequality for Walks in a Graph . . . 580--582
W. B. Jordan Book Review: \booktitleTwo Legendre
Polynomial Identities (A. D. Rawlins) 582--584
B. W. Levinger Book Review: \booktitleA System of
Probabilistic Inequalities (T. Ten Raa) 584--585
W. B. Jordan Book Review: \booktitleA Sum of Legendre
Polynomials (M. L. Glasser) . . . . . . 586--587
Anonymous Late Solutions . . . . . . . . . . . . . 587--587
George Handelman Preface . . . . . . . . . . . . . . . . 589--590
K. K. Lee Book Review: \booktitleManifolds, Tensor
Analysis, and Applications (Ralph
Abraham, Jerrold E. Marsden and Tudor
Ratiu) . . . . . . . . . . . . . . . . . 590--592
B. R. Hunt Book Review: \booktitlePattern Models
(Narenda Ahuja and Bruce J. Schachter) 592--593
Mark A. Pinsky Book Review: \booktitleNonlinear
Analysis on Manifolds. Monge--Ampere
Equations (Thierry Aubin) . . . . . . . 593--594
M. A. Pinsky Nonlinear Analysis on Manifolds ---
Monge--Ampere Equations --- Aubin, T. 593--594
B. D. Craven Book Review: \booktitleNon-Linear
Parametric Optimization (B. Bank, J.
Guddat, D. Klatte, B. Kummer and K.
Tammer) . . . . . . . . . . . . . . . . 594--595
Murray S. Klamkin Book Review: \booktitleFundamentals of
Linear Algebra and Analytical Geometry
(Ya. S. Bugrov and S. M. Nokolsky) . . . 595--595
M. S. Klamkin Fundamentals of Linear Algebra and
Analytical Geometry --- Bugrov, Y. S.,
Nokolsky, S. M. . . . . . . . . . . . . 595--595
Paul Slepian Book Review: \booktitleThe Mathematics
of Networks (Stefan A. Burr) . . . . . . 595--596
P. Slepian The Mathematics of Networks --- Burr, S.
A. . . . . . . . . . . . . . . . . . . . 595--596
George T. Yates Book Review: \booktitleMechanics of
Swimming and Flying (Stephen Childress) 596--597
G. T. Yates Mechanics of Swimming and Flying ---
Childress, S. . . . . . . . . . . . . . 596--597
Calvin H. Wilcox Book Review: \booktitleIntegral Equation
Method in Scattering Theory (David
Colton and Rainer Kress) . . . . . . . . 597--598
C. H. Wilcox Integral Equation Method in
Scattering-Theory --- Colton, D., Kress,
R. . . . . . . . . . . . . . . . . . . . 597--598
Alan Weinstein Book Review: \booktitleThe Elements of
Mechanics (Giovanni Gallavotti) . . . . 598--598
A. Weinstein The Elements of Mechanics ---
Gallavotti, G. . . . . . . . . . . . . . 598--598
Earl Glen Whitehead, Jr. Book Review: \booktitleCombinatorial
Enumeration (Ian P. Goulden and David M.
Jackson) . . . . . . . . . . . . . . . . 599--599
E. G. Whitehead Combinatorial Enumeration --- Goulden,
I. P., Jackson, D. M. . . . . . . . . . 599--599
Nicholas D. Kazarinoff Book Review: \booktitleNonlinear
Oscillations, Dynamical Systems, and
Bifurcations of Vector Fields (John
Guckenheimer and Philip Holmes) . . . . 600--601
N. D. Kazarinoff Nonlinear Oscillations, Dynamical
Systems, and Bifurcations of Vector
Fields --- Guckenheimer, J., Holmes, P. 600--601
Reese T. Prosser Book Review: \booktitleGeometric
Quantization in Action (Norman E. Hurt) 602--603
R. T. Prosser Geometric Quantization in Action ---
Hurt, N. E. . . . . . . . . . . . . . . 602--603
Paul F. Zweifel Book Review: \booktitleSpectral Methods
in Linear Transport Theory (H. G. Kaper,
C. G. Lekkerkerker and J. Hejtmanek) . . 604--606
P. F. Zweifel Spectral Methods in Linear Transport
Theory --- Kaper, H. G., Lekkerkerker,
C. G., Hejtmanek, J. . . . . . . . . . . 604--606
Murray S. Klamkin Book Review: \booktitleDiscrete and
System Models (William F. Lucas, Fred S.
Roberts and Robert M. Thrall, eds.) . . 606--608
M. S. Klamkin Discrete and System Models --- Lucas, W.
F., Roberts, F. S., Thrall, R. M. . . . 606--608
Neal Zierler Book Review: \booktitleStudies in
Computer Science (S. V. Pollack, ed.) 608--608
N. Zierler Studies in Computer Science --- Pollack,
S. V. . . . . . . . . . . . . . . . . . 608--608
Leonard Sarason Book Review: \booktitleHyperbolic
Boundary Value Problems (Reiko Sakamoto) 608--609
L. Sarason Hyperbolic Boundary-Value Problems ---
Sakamoto, R. . . . . . . . . . . . . . . 608--609
Charles R. Johnson Book Review: \booktitleTheory of
Technical Change and Economic
Invariance: Application of Lie Groups
(Ryuzo Sato) . . . . . . . . . . . . . . 609--610
C. R. Johnson Theory of Technical Change and Economic
Invariance --- Application of Lie Groups
--- Sato, R. . . . . . . . . . . . . . . 609--610
William R. Spillers Book Review: \booktitleCivil Engineering
Systems Analysis and Design (Alan A.
Smith, Ernest Hinton and Roland W.
Lewis) . . . . . . . . . . . . . . . . . 610--611
W. R. Spillers Civil Engineering Systems-Analysis and
Design --- Smith, A. A., Hinton, E.,
Lewis, R. W. . . . . . . . . . . . . . . 610--611
Murray S. Klamkin Book Review: \booktitleCalculus: Basic
Concepts for High Schools (L. V.
Tarasov) . . . . . . . . . . . . . . . . 611--612
M. S. Klamkin Calculus --- Basic Concepts for High
Schools --- Tarasov, L. V. . . . . . . . 611--612
John Westwater Book Review: \booktitleQuantum Mechanics
of Large Systems (Walter Thirring) . . . 612--615
J. Westwater Quantum Mechanics of Large Systems ---
Thirring, W. . . . . . . . . . . . . . . 612--615
John P. Mayberry Book Review: \booktitleErratum: Fair
Representation (Michel L. Balinski and
H. Peyton Young) . . . . . . . . . . . . 615--615
J. P. Mayberry Correction . . . . . . . . . . . . . . . 615--615
Anonymous Other Books Received . . . . . . . . . . 616--623
Anonymous Articles Appearing in Current and Future
Issues of Other SIAM Journals . . . . . 624--629
Anonymous New Members . . . . . . . . . . . . . . 630--636
Anonymous Treasurer's Report . . . . . . . . . . . 637--637
R. M. M. Mattheij Decoupling and Stability of Algorithms
for Boundary Value Problems . . . . . . 1--44
Simon A. Levin and
Lee A. Segel Pattern Generation in Space and Aspect 45--67
Tom Morley A Simple Proof That the World is
Three-Dimensional . . . . . . . . . . . 69--71
F. W. Steutel Poisson Processes and a Bessel Function
Integral . . . . . . . . . . . . . . . . 73--77
A. N. Philippou Modes of a Random Variable . . . . . . . 79--79
S. W. Wallace Incidence Matrix for a Transportation
Problem . . . . . . . . . . . . . . . . 79--79
M. A. Abdelkader Pendulum in a Variable Medium . . . . . 80--80
Pierre Barrucand An Asymptotic Problem . . . . . . . . . 80--80
G. Chang A Limit of Bernstein Polynomials . . . . 80--80
A. M. Gleason Factorization of a Homogeneous
Polynomial . . . . . . . . . . . . . . . 80--81
Donald Richards Book Review: \booktitleAn Integral on $
S O(3) $ (B. E. Eichinger) . . . . . . . 81--82
D. Richards An Integral on $ {\rm SO}(3) $ . . . . . 81--82
Tian Jinghuang Zeros of a Definite Integral . . . . . . 82--82
A. D. Osborne Book Review: \booktitleA Nonlinear
Differential Equation (M. A. Abdelkader) 83--83
W. E. Hornor and
C. C. Rousseau Book Review: \booktitleA Definite
Integral (B. C. Berndt) . . . . . . . . 84--84
Anonymous Late Solutions . . . . . . . . . . . . . 85--85
M. L. Glasser A Vanishing Definite Integral . . . . . 85--85
Jeffrey L. Arthur Book Review: \booktitleStochastic Models
in Operations Research, Volume II.
Stochastic Optimization (Daniel P.
Heyman and Matthew J. Sobel) . . . . . . 87--88
Hans Berliner Book Review: \booktitleComputers in
Chess-Solving Inexact Search Problems
(M. M. Botvinnik) . . . . . . . . . . . 88--90
Stephen R. Bernfeld Book Review: \booktitleCatastrophe
Theory (V. I. Arnold) . . . . . . . . . 90--91
Charles Blair Book Review: \booktitleLinear
Programming (Katta G. Murty) and Linear
Programming (Vasek Chv\vatal) . . . . . 91--93
R. P. Boas Book Review: \booktitlePrimer of Modern
Analysis (Kennan T. Smith) . . . . . . . 93--94
John Buckmaster Book Review: \booktitleAsymptotic
Treatment of Chemically Reacting Systems
(Ashwani K. Kapila) . . . . . . . . . . 94--95
Charles Conley Book Review: \booktitleGeometrical
Methods in the Theory of Ordinary
Differential Equations (V. I. Arnold) 95--96
John W. Dettman Book Review: \booktitlePartial
Differential Equations of Applied
Mathematics (Erich Zauderer) . . . . . . 96--97
Bryce DeWitt Book Review: \booktitleThe Mathematical
Theory of Black Holes (S. Chandrasekhar) 97--99
Joseph Duffy Book Review: \booktitleKinematics
(Joseph Stiles Beggs) . . . . . . . . . 99--100
Meyer Dwass Book Review: \booktitleIntroductory
Applied Probability (G. P. Beaumont) . . 100--100
Robert J. Elliott Book Review: \booktitleOptimization Over
Time-Volume II: Dynamic Programming and
Stochastic Control (Peter Whittle) . . . 100--101
Lawrence C. Evans Book Review: \booktitleHamilton--Jacobi
Equations in Hilbert Spaces (V. Barbu
and G. DaPrato) . . . . . . . . . . . . 101--102
George A. Hagedorn Book Review: \booktitleScattering Theory
for Many-Body Quantum Mechanical
Systems-Rigorous Results (Israel Michael
Sigal) . . . . . . . . . . . . . . . . . 103--103
William W. Hager Book Review: \booktitleOptimal Processes
on Manifolds (Roel Nottrot) . . . . . . 104--104
Kenneth B. Hannsgen Book Review: \booktitleVolterra Integral
and Differential Equations (T. A.
Burton) . . . . . . . . . . . . . . . . 104--105
Edward J. Haug Book Review: \booktitleVariational
Methods in Theoretical Mechanics (J. T.
Oden and J. N. Reddy) . . . . . . . . . 105--106
Philip Holmes Book Review: \booktitleThe Lorenz
Equations: Bifurcations, Chaos, and
Strange Attractors (Colin Sparrow) . . . 106--110
J. H. B. Kemperman Book Review: \booktitleProbability (A.
N. Shiryayev) . . . . . . . . . . . . . 110--110
Joseph Kestin Book Review: \booktitleA First Course in
the Mathematical Foundations of
Thermodynamics (David R. Owen) . . . . . 110--113
M. S. Krishnamoorthy Book Review: \booktitleThe Unix System
Guidebook: an Introductory Guide for
Serious Users (Peter P. Silvester) . . . 113--114
C. E. Lemke Book Review: \booktitleIntroduction to
Sensitivity and Stability Analysis in
Nonlinear Programming (Anthony V.
Fiacco) . . . . . . . . . . . . . . . . 114--115
Jerry Marsden Book Review: \booktitleBifurcation
Theory, Mechanics and Physics (C. P.
Bruter, A. Aragnol and A. Lichnerowicz,
eds.) . . . . . . . . . . . . . . . . . 116--116
Richard E. Mortensen Book Review: \booktitleIdentification of
Continuous Dynamical Systems-The Poisson
Moment Functional (PMF) Approach (Dines
Chandra Saha and Ganti Prasada Rao) . . 116--118
Chander Prakash Book Review: \booktitleNumerical Methods
in Heat Transfer (R. W. Lewis, K.
Morgan, and B. A. Schreifler, eds.) . . 118--119
M. H. Protter Book Review: \booktitleFirst Order
Elliptic Systems: a Function Theoretic
Approach (Robert P. Gilbert and James L.
Buchanan) . . . . . . . . . . . . . . . 119--121
Joel W. Robbin Book Review: \booktitleIntroduction to
Dynamics (Ian Percival and Derek
Richards) . . . . . . . . . . . . . . . 121--123
G. T. Sallee Book Review: \booktitleAn Introduction
to Convex Polytopes (Arne Bròndsted) . . 123--124
Stanley Sawyer Book Review: \booktitleStochastic
Transport in Discrete Biological Systems
(Eckhart Frehland) . . . . . . . . . . . 124--125
Alwyn Scott Book Review: \booktitleSolitons (P. G.
Drazin) . . . . . . . . . . . . . . . . 125--125
Herbert Spohn Book Review: \booktitleNon-Equilibrium
Entropy and Irreversibility (G.
Lindblad) . . . . . . . . . . . . . . . 125--127
A. S. Wightman Book Review: \booktitleStudies in
Applied Mathematics (Victor Guillemin,
ed.) . . . . . . . . . . . . . . . . . . 127--128
Jean-Phillippe Vial Book Review: \booktitleNonlinear
Programming (Garth P. McCormick) . . . . 128--130
Stanislaw H. Zak Book Review: \booktitleAlgebraic Theory
for Multivariable Linear Systems (H.
Blomberg and R. Ylinen) . . . . . . . . 130--131
S. Zlobec Book Review: \booktitleConstrained
Optimization and Lagrange Multiplier
Rules (Dimitri P. Bertsekas) . . . . . . 131--132
Anonymous Other Books Received . . . . . . . . . . 133--138
Anonymous New Members . . . . . . . . . . . . . . 139--147
Anonymous Elected and Appointed Officials . . . . 148--148
James M. Ortega and
Robert G. Voigt Solution of Partial Differential
Equations on Vector and Parallel
Computers . . . . . . . . . . . . . . . 149--240
J. C. Alexander The Numerics of Computing Geodetic
Ellipsoids . . . . . . . . . . . . . . . 241--247
J. P. Lambert Constructing Nodes for Optimal
Quadrature . . . . . . . . . . . . . . . 249--249
M. L. Glasser An Infinite Sum . . . . . . . . . . . . 250--250
M. S. Klamkin and
O. G. Ruehr An Identity . . . . . . . . . . . . . . 250--250
N. Oden Eigenvalues and Eigenvectors of a Large
Matrix . . . . . . . . . . . . . . . . . 250--250
P. Schweitzer On a Nonlinear Matrix Differential
Equation . . . . . . . . . . . . . . . . 250--250
A. J. Schwenk Book Review: \booktitleA Covering
Problem (J. Vijay) . . . . . . . . . . . 250--252
J. A. Wilson Book Review: \booktitleA $q$-Extension
of Cauchy's Beta Integral (Richard
Askey) . . . . . . . . . . . . . . . . . 252--253
M. L. Glasser Book Review: \booktitleAnother Definite
Integral (M. L. Glasser) . . . . . . . . 254--254
George Gasper Book Review: \booktitleEvaluation of a
Hypergeometric Function (Otto G. Ruehr) 255--255
G. Gasper Evaluation of a Hypergeometric Function 255--255
Mark Kantrowitz and
T. M. Hagstrom Book Review: \booktitleA Minimum Value
(M. S. Klamkin) . . . . . . . . . . . . 255--256
M. Kantrowitz A Minimum Value . . . . . . . . . . . . 255--256
T. M. Hagstrom and
W. B. Jordan A Minimum Value . . . . . . . . . . . . 256--256
Steve Alpern Book Review: \booktitleGeometric Games
and Their Applications (W. H. Ruckle) 257--258
Brian Alspach Book Review: \booktitleIntroductory
Combinatorics (Kenneth P. Bogart) . . . 258--259
W. F. Ames Book Review: \booktitleSystems of
Nonlinear Partial Differential Equations
(J. M. Ball, ed.) . . . . . . . . . . . 259--260
Lowell W. Beineke Book Review: \booktitleGraph Theory,
Lagów 1981 (M. Borowiecki, J. W. Kennedy
and M. M. Syslo, eds.) . . . . . . . . . 260--261
Melvyn S. Berger Book Review: \booktitleGeometrical
Methods of Nonlinear Analysis (M. A.
Krasnosel'skii and P. P. Zabreiko) . . . 261--262
George Berzsenyi Book Review: \booktitleProblem-Solving
Through Problems (Loren C. Larson) . . . 262--263
Frederick J. Beutler Book Review: \booktitleA First Course in
Bulk Queues (M. L. Chaudhry and J. G. C.
Templeton) . . . . . . . . . . . . . . . 263--264
Charles Blair Book Review: \booktitleProblem
Complexity and Method Efficiency in
Optimization (A. S. Nemirovsky and D. B.
Yudin) . . . . . . . . . . . . . . . . . 264--265
Charles K. Chui Book Review: \booktitleKalman Filtering
Theory (A. V. Balakrishnan) . . . . . . 265--265
Margaret Cozzens Book Review: \booktitleMathematical
Models in the Social and Behavioral
Sciences (Anatol Rapoport) . . . . . . . 266--267
Jack Dongarra Book Review: \booktitleA New Approach to
Scientific Computation (Ulrich W.
Kulisch and Willard L. Miranker, eds.) 267--268
Wendell H. Fleming Book Review: \booktitleGeneralized
Solutions of Hamilton--Jacobi Equations
(P.-L. Lions) . . . . . . . . . . . . . 268--269
C. W. Gear Book Review: \booktitleDiscretization
Methods for Stable Initial Value
Problems (Eckart Gekeler) . . . . . . . 269--269
Lev Ginzburg Book Review: \booktitleDemography
Through Problems (Nathan Keyfitz and
John A. Beekman) . . . . . . . . . . . . 269--270
J. A. Goguen Book Review: \booktitleFuzzy Sets and
Systems: Theory and Applications (Didier
Dubois and Henri Prade) . . . . . . . . 270--274
George A. Hagedorn Book Review: \booktitleScattering Theory
by the Enss Method (Peter A. Perry) (B.
Simon, ed.) . . . . . . . . . . . . . . 274--275
Daniel P. Heyman Book Review: \booktitleQueues and Point
Processes (Peter Franken, Dieter König,
Ursula Arndt and Volker Schmidt) . . . . 275--276
Dale T. Hoffman Book Review: \booktitleApproval Voting
(Steven J. Brams and Peter C. Fishburn) 276--278
B. R. Hunt Book Review: \booktitleSelf-Organization
and Associative Memory (Teuvo Kohonen) 278--279
Mourad E. H. Ismail Book Review:
\booktitle$q$-Hypergeometric Functions
and Applications (H. Exton) . . . . . . 279--281
A. K. Kapila Book Review: \booktitleTheory of Laminar
Flames (J. D. Buckmaster and G. S. S.
Ludford) . . . . . . . . . . . . . . . . 281--283
Eusebio L. Koh Book Review: \booktitleThe Convolution
Product (Wilhelm Kecs) . . . . . . . . . 283--285
K. O. Kortanek Book Review: \booktitleLinear
Optimization and Approximation (Klaus
Glashoff and Sven-Åke Gustafson) . . . . 285--286
David S. Malkus Book Review: \booktitleThe Finite
Element Method --- a Basic Introduction
for Engineers (K. C. Rockey, H. R.
Evans, D. W. Griffiths, and D. A.
Nethercot) and Finite Elements: an
Introduction for Engineers (R. K.
Livesley) . . . . . . . . . . . . . . . 286--288
Andrzej Manitius Book Review: \booktitleOptimization and
Nonsmooth Analysis (Frank H. Clarke) . . 288--291
N. Harris McClamroch Book Review: \booktitleA Guide to
Simulation (Paul Bratley, Bennett L.
Fox, and Linus E. Schrage) . . . . . . . 292--293
Robert McKelvey and
Roland Lamberson Book Review: \booktitlePolitical and
Related Models (Steven J. Brams, William
F. Lucas and Philip D. Strafin, Jr.,
eds.) . . . . . . . . . . . . . . . . . 293--294
Alan Mironer Book Review: \booktitleA First Course in
Fluid Dynamics (A. R. Paterson) . . . . 294--295
Stephen Merrill Book Review: \booktitleRandom
Perturbations of Dynamical Systems (M.
I. Freidlin and A. D. Wentzell) . . . . 295--296
R. E. Moore Book Review: \booktitleIntroduction to
Interval Computations (Götz Alefeld and
Jürgen Herzberger) . . . . . . . . . . . 296--297
T. A. Porsching Book Review: \booktitleThe Method of
Differential Approximation (Yu. I.
Shokin) . . . . . . . . . . . . . . . . 297--298
Werner C. Rheinboldt Book Review: \booktitleComputational
Methods in Bifurcation Theory and
Dissipative Structures (M. Kubícek and M.
Marek) . . . . . . . . . . . . . . . . . 298--299
Azriel Rosenfeld Book Review: \booktitleThe Measurement
of Visual Motion (Ellen Catherine
Hildreth) . . . . . . . . . . . . . . . 299--300
Lee A. Segel Book Review: \booktitleSynergetics of
the Brain (E. Basar, H. Flohr, H. Haken
and A. J. Mandell, eds.) . . . . . . . . 300--301
Stephen B. Seidman Book Review: \booktitleStructural Models
in Anthropology (Per Hags and Frank
Harary) . . . . . . . . . . . . . . . . 301--303
Martin Shubik Book Review: \booktitleGame Theory
(Guillermo Owen) . . . . . . . . . . . . 303--305
Sabetai Unguru Book Review: \booktitleAstronomy and
History-Selected Essays (O. Neugebauer) 305--309
Glenn F. Webb Book Review: \booktitleSemigroups of
Linear Operators and Applications to
Partial Differential Equations (A. Pazy) 309--311
Calvin H. Wilcox Book Review: \booktitleThe Analysis of
Linear Partial Differential Operators I,
II (Lars Hörmander) . . . . . . . . . . . 311--313
David R. Owen Book Review: \booktitleAuthor's Comments
on Joseph Kestin's Review of: a First
Course in the Mathematical Foundations
of Thermodynamics (David R. Owen) . . . 313--314
Anonymous Other Books Received . . . . . . . . . . 315--327
Anonymous New Members . . . . . . . . . . . . . . 328--334
Ralph L. Disney and
Dieter König Queueing Networks: a Survey of Their
Random Processes . . . . . . . . . . . . 335--403
A. Papoulis Levinson's Algorithm, Wold's
Decomposition, and Spectral Estimation 405--441
David J. Marcus Probability of Winning a Game of
Racquetball . . . . . . . . . . . . . . 443--444
V. Balakotaiah A Multi-Variable Extremum Problem . . . 445--445
S. Damjanovic A Bessel Function Integral . . . . . . . 445--445
I. Elishakoff and
D. Livshits Sums of Powers of Roots of a
Transcendental Equation . . . . . . . . 446--446
D. M. Petkovi\'c Infinite Sums of Bessel Functions . . . 446--446
A. Sharma and
Murray S. Klamkin Extension of Routh's Theorem to
Spherical Triangles . . . . . . . . . . 446--447
Anatole Beck Book Review: \booktitleAn Optimal Search
(Richard Bellman) . . . . . . . . . . . 447--448
W. A. Al-Salam Book Review: \booktitleA Weyl Fractional
Integral (H. M. Srivastava) . . . . . . 448--449
J. A. Wilson and
J. A. MacBain Book Review: \booktitleA Resistance
Problem (E. N. Gilbert and L. A. Shepp) 449--452
John A. Crow Book Review: \booktitleA System of
Ordinary Differential Equations (Gengzhe
Chang) . . . . . . . . . . . . . . . . . 452--453
O. P. Lossers Book Review: \booktitlePatterns in a
Sequence of Symmetric Bernoulli Trials
(Y. P. Sabharwal and V. K. Malhotra) . . 453--454
Eldon Hansen Book Review: \booktitleA Summation of
Bessel Functions (Henry E. Fettis) . . . 455--457
P. M. Anselone Book Review: \booktitleSpectral
Approximation of Linear Operators
(Françoise Chatelin) . . . . . . . . . . 459--459
John Baxter Book Review: \booktitleClassical
Potential Theory and Its Probabilistic
Counterpart (J. L. Doob) . . . . . . . . 460--462
Kenneth N. Berk Book Review: \booktitleMultivariate
Descriptive Statistical
Analysis-Correspondence Analysis and
Related Techniques for Large Matrices
(Ludovic Lebart, Alain Morineau, and
Kenneth M. Warwick) . . . . . . . . . . 462--463
A. T. Bharucha-Reid Book Review: \booktitleRandom Linear
Operators (A. V. Skorohod) . . . . . . . 463--464
Fred Brauer Book Review: \booktitlePopulation
Biology (Simon A. Levin, ed.) . . . . . 464--465
Stan Fromovitz Book Review: \booktitleMathematical
Methods in Management (Geoffrey Gregory) 465--465
J. D. Gibbon Book Review: \booktitleNonlinear Waves
(Lokenath Debnath, ed.) . . . . . . . . 465--466
P. R. Graves-Morris Book Review: \booktitlePadé Approximants
for Operators: Theory and Applications
(Annie Cuyt) . . . . . . . . . . . . . . 467--467
Horst W. Hamacher Book Review: \booktitleAlgebraische
Methoden in der Ganzzahligen Optimierung
(Joachim Piehler) . . . . . . . . . . . 467--468
J. Lumley Book Review: \booktitleDevelopments in
the Theory of Turbulence (D. C. Leslie) 468--469
Michael S. Mock Book Review: \booktitleAnalysis and
Simulation of Semiconductor Devices
(Siegfried Selberherr) . . . . . . . . . 469--470
Zbigniew Nitecki Book Review: \booktitleIterates of Maps
on an Interval (Chris Preston) . . . . . 470--471
Roger Pinkham Book Review: \booktitleAbstract Algebra
--- a Computational Approach (Charles C.
Sims) and A CLASSLIB User's Manual
(Charles C. Sims) . . . . . . . . . . . 471--472
Marshall Slemrod Book Review: \booktitleCompressible
Fluid Flow and Systems of Conservation
Laws in Several Space Variables (A.
Majda) . . . . . . . . . . . . . . . . . 472--473
Anonymous Other Books Received . . . . . . . . . . 473--479
Anonymous New Members . . . . . . . . . . . . . . 480--484
Joseph B. Keller Semiclassical Mechanics . . . . . . . . 485--504
P. Deuflhard Recent Progress in Extrapolation Methods
for Ordinary Differential Equations . . 505--535
A. Griewank On Solving Nonlinear Equations with
Simple Singularities or Nearly Singular
Solutions . . . . . . . . . . . . . . . 537--563
A. C. King and
M. E. Mortimer Approximating Factorials: a Difference
Equation Approach . . . . . . . . . . . 565--567
Denis Blackmore and
Lu Ting Surface integral of Its Mean Curvature
Vector . . . . . . . . . . . . . . . . . 569--572
M. L. Glasser An Integral Identity . . . . . . . . . . 573--573
A. H. Nuttall A Conjectured Definite Integral . . . . 573--573
J. E. Wilkins Radius of Convergence of a Power
Serie\`\i . . . . . . . . . . . . . . . 573--574
R. Askey Basic Hypergeometric Extensions of Some
Integrals . . . . . . . . . . . . . . . 574--574
J. L. Brenner and
W. A. Newcomb and
O. G. Ruehr An Inequality . . . . . . . . . . . . . 574--574
S. Lj. Damjanovia A Hypergeometric Function Integral . . . 574--574
G. E. Andrews A Partition Function Identity . . . . . 575--575
E. O. George and
C. C. Rousseau A Moment Generating Function . . . . . . 575--575
H. M. Srivastava An Identity for Double Hypergeometric
Series . . . . . . . . . . . . . . . . . 575--576
Eldon Hansen Series Involving Bessel Functions . . . 576--576
M. S. Klamkin Inequality for a Simplex . . . . . . . . 576--576
E. Onofri A Nonlinear Variational Problem . . . . 576--578
B. Halphen and
S. L. Paveri-Fontana Book Review: \booktitleOn the Motion of
a Trailer-Truck (J. C. Alexander) . . . 578--579
B. Halphen and
S. L. Paverifontana On the Motion of a Trailer-Truck . . . . 578--579
I. G. Macdonald A Hyper Volume . . . . . . . . . . . . . 579--580
Richard Stanley Book Review: \booktitleA Hyper-Volume
(E. E. Doberkat) . . . . . . . . . . . . 579--580
Jeffrey L. Arthur Book Review: \booktitleAn Introduction
to Stochastic Modeling (Howard M. Taylor
and Samuel Karlin) . . . . . . . . . . . 581--582
Thomas F. Banchoff Book Review: \booktitleInvitation to
Geometry (Z. A. Melzak) . . . . . . . . 582--583
Andrew J. Berner Book Review: \booktitleFormal
Specification of Interactive Graphics
Programming Languages (William R.
Mallgren) . . . . . . . . . . . . . . . 583--584
Dimitri P. Bertsekas Book Review: \booktitleNetwork Flows and
Monotropic Optimization (R. T.
Rockafellar) . . . . . . . . . . . . . . 585--589
Tomas Björk Book Review: \booktitleNonlinear
Filtering and Smoothing --- an
Introduction to Martingales, Stochastic
Integrals and Estimation (Venkatarama
Krishnan) . . . . . . . . . . . . . . . 589--590
Peter Bradshaw Book Review: \booktitleThe Mathematical
Theory of Turbulence (M. M. Stanisi\'c) 590--592
Bryan Ellickson Book Review: \booktitleMarket Demand ---
an Analysis of Large Economies with
Non-Convex Preferences (Walter Trockel) 592--593
Gerald Farin Book Review: \booktitleGeometry of a
Spatial Form. Analysis, Synthesis,
Concept Formulation and Space Vision for
CAD (Peter C. Gasson) . . . . . . . . . 593--594
Ronald B. Guenther Book Review: \booktitleIntroduction to
Partial Differential Equations with
Applications (Mark A. Pinsky) . . . . . 594--594
Frank A. Haight Book Review: \booktitleMathematical
Techniques of Applied Probability
(Jeffrey J. Hunter) . . . . . . . . . . 595--596
Hans G. Kaper Book Review: \booktitleOrdinary
Differential Equations in $ R^n
$-Problems and Methods (L. C. Piccinini,
G. Stampacchia and G. Vidossich) . . . . 596--598
J. Kevorkian Book Review: \booktitlePerturbation
Methods in Heat Transfer (A. Aziz and T.
Y. Na) . . . . . . . . . . . . . . . . . 598--600
Erich W. Marchand Book Review: \booktitleOptique de
Fourier en Microscopie Électronique (A.
Lannes and J. Ph. Pérez) . . . . . . . . 600--601
Roger S. Pinkham Book Review: \booktitleAnalysis of
Survival Data (D. R. Cox and D. Oakes) 602--602
Bert W. Rust Book Review: \booktitleConjugate Duality
and the Exponential Fourier Spectrum
(Wray Britton) . . . . . . . . . . . . . 602--605
Larry L. Schumaker Book Review: \booktitleComputational
Methods for Parsimonious Data Fitting
(Marjan Ribaric) . . . . . . . . . . . . 605--606
David F. Shanno Book Review: \booktitleCombinatorial
Optimization for Undergraduates (L. R.
Foulds) . . . . . . . . . . . . . . . . 606--607
Martin Shubik Book Review: \booktitleGames, Theory and
Applications (L. C. Thomas) . . . . . . 608--608
Srinivasa S. R. Varadhan Book Review: \booktitleAn Introduction
to the Theory of Large Deviations (D. W.
Stroock) . . . . . . . . . . . . . . . . 608--610
Anonymous Other Books Received . . . . . . . . . . 610--617
Anonymous New Members . . . . . . . . . . . . . . 618--621
Anonymous Report of the Treasurer for the Year
Ending December 31, 1984 . . . . . . . . 622--623
Ulrich W. Kulisch and
Willard L. Miranker The Arithmetic of the Digital Computer:
a New Approach . . . . . . . . . . . . . 1--40
K. R. Meyer Counter-Examples in Dynamical Systems
via Normal Form Theory . . . . . . . . . 41--51
Joyce R. McLaughlin Analytical Methods for Recovering
Coefficients in Differential Equations
from Spectral Data . . . . . . . . . . . 53--72
Jonathan Bell Optimizing Pacemaker Battery Life . . . 73--77
Yves Nievergelt Elementary Inversion of Radon's
Transform . . . . . . . . . . . . . . . 79--84
J. C. Moorhouse and
J. V. Baxley An Optimal Control Problem . . . . . . . 85--85
D. E. Knuth A Random Knockout Tournament . . . . . . 85--86
Richard Askey On the Sign of a Set of Hypergeometric
Functions . . . . . . . . . . . . . . . 86--86
S. Lj. Damjanovi\'c An Identity for a ${}_4 F_3 $
Hypergeometric Function . . . . . . . . 86--87
M. Henkel and
J. Lacki Conjectured Trigonometrical Identities 87--88
Noam Elkies Book Review: \booktitleAn Isoperimetric
Inequality (M. S. Klamkin) . . . . . . . 88--89
N. Elkies and
M. S. Klamkin An Isoperimetric Inequality . . . . . . 88--89
M. M. Derriennic Book Review: \booktitleA Limit of
Bernstein Polynomials (G. Chang) . . . . 89--90
M. M. Derriennic and
G. Chang and
E. Lee and
R. Rice and
H. P. Yang A Limit of Bernstein Polynomials . . . . 89--90
Mark J. Ablowitz Book Review: \booktitleBilinear
Transformation Method (Yoshimasa
Matsuno) . . . . . . . . . . . . . . . . 91--92
W. F. Ames Book Review: \booktitleNumerical
Solution of Partial Differential
Equations: Theory, Tools and Case
Studies (D. P. Laurie. ed.) . . . . . . 92--92
Stuart S. Antman Book Review: \booktitleLocal Bifurcation
and Symmetry (A. Vanderbauwhede) . . . . 93--94
Panos J. Antsaklis Book Review: \booktitleObservers for
Linear Systems (J. O'Reilly) . . . . . . 94--97
Victor Barcilon Book Review: \booktitleInverse Problems
(D. W. McLaughlin) . . . . . . . . . . . 97--98
H. G. Dales and
D. G. Crighton Book Review: \booktitleOperational
Calculus --- a Theory of Hyperfunctions
(K. Yosida) . . . . . . . . . . . . . . 98--99
Joseph Duffy Book Review: \booktitleComputer Aided
Analysis and Optimization of Mechanical
System Dynamics (E. J. Haug, ed.) . . . 99--100
Paul C. Fife Book Review: \booktitleGlobal Solutions
of Reaction-Diffusion Systems (Franz
Rothe) . . . . . . . . . . . . . . . . . 100--102
Stan Fromovitz Book Review: \booktitleMethods for
Solving Incorrectly Posed Problems (V.
A. Morozov) . . . . . . . . . . . . . . 102--102
James H. Graham Book Review: \booktitleRobotics and
Artificial Intelligence (M. Brady, L. A.
Gerhardt and H. F. Davidson, ed.) . . . 102--104
Winfried K. Grassman Book Review: \booktitleApproximation and
Weak Convergence Methods for Random
Processes with Applications to
Stochastic Systems Theory (Harold J.
Kushner) . . . . . . . . . . . . . . . . 104--104
Alan Hastings Book Review: \booktitleContinuous and
Discrete Dynamics Near Manifolds of
Equilibria (Bernd Aulbach) . . . . . . . 105--105
Harry Hochstadt Book Review: \booktitleDifferential
Equations (A. N. Tikhonov, A. B.
Vasil'eva and A. G. Sveshnikov) . . . . 105--106
Philip Holmes Book Review: \booktitleChaos (Hao
Bai-Lin) . . . . . . . . . . . . . . . . 106--109
Robert B. Kelman Book Review: \booktitleApplications of
Discrete and Continuous Fourier Analysis
(H. Joseph Weaver) . . . . . . . . . . . 109--109
Janusz Kowalik Book Review: \booktitleSupercomputers
and Parallel Computation (D. J. Paddon,
ed.) . . . . . . . . . . . . . . . . . . 109--111
Mukkai S. Krishnamoorthy Book Review:
\booktitleFORTRAN-Scientific Subroutine
Library (by Peerless Engineering
Service) . . . . . . . . . . . . . . . . 111--112
Robert J. Lambert Book Review: \booktitleNumerical
Solution of Differential
Equations-Second Edition (M. K. Jain) 112--113
James A. Liggett Book Review: \booktitleBoundary Integral
Equation Analyses of Singular,
Potential, and Biharmonic Problems
(Derek B. Ingham and Mark A. Kelmanson) 113--115
T. A. Marsland Book Review: \booktitleChess Skill in
Man and Machine-Second Edition (Peter W.
Frey, ed.) . . . . . . . . . . . . . . . 115--116
M. Z. Nashed Book Review: \booktitleThe Theory of
Tikhonov Regularization for Fredholm
Equations of the First Kind (C. W.
Groetsch) . . . . . . . . . . . . . . . 116--118
R. E. O'Malley, Jr. Book Review: \booktitleNonlinear
Singular Perturbation Phenomena: Theory
and Application (K. W. Chang and F. A.
Howes) . . . . . . . . . . . . . . . . . 118--120
Allen C. Pipkin Book Review: \booktitleOrienting
Polymers: Proceedings, Minneapolis 1983
(J. L. Ericksen, ed.) . . . . . . . . . 120--120
Anthony Ralston Book Review: \booktitleThe
Carnegie-Mellon Curriculum for
Undergraduate Computer Science (Mary
Shaw, ed.) . . . . . . . . . . . . . . . 120--123
Alexander Samarov Book Review: \booktitleNonparametric
Functional Estimation (B. L. S. Prakasa
Rao) . . . . . . . . . . . . . . . . . . 123--125
Martin Schechter Book Review: \booktitleElliptic Problems
in Nonsmooth Domains (P. Grisvard) . . . 125--125
Martin Schechter Book Review: \booktitleA Course in
Functional Analysis (John B. Conway) . . 126--126
Marshall Slemrod Book Review: \booktitleRational
Thermodynamics, Second Edition (C.
Truesdell) . . . . . . . . . . . . . . . 126--127
Gilbert Strang Book Review: \booktitleOptimal Shape
Design for Elliptic Systems (Olivier
Pironneau) . . . . . . . . . . . . . . . 127--128
A. H. Stroud Book Review: \booktitleMethods of
Numerical Integration-Second Edition
(Philip J. Davis and Philip Rabinowitz) 128--128
G. S. Watson Book Review: \booktitleGeneralized
Linear Models (P. Mccullagh and J. A.
Nelder) . . . . . . . . . . . . . . . . 128--130
Ralph A. Willoughby Book Review: \booktitleSparse Matrix
Technology (Sergio Pissanetsky) . . . . 130--131
Jet Wimp Book Review: \booktitleA Treatise on
Generating Functions (H. M. Srivastava
and H. L. Manocha) . . . . . . . . . . . 131--135
Anonymous Other Books Recieved . . . . . . . . . . 135--142
Anonymous New Members . . . . . . . . . . . . . . 143--150
Anonymous Elected and Appointed Officials . . . . 151--151
Seymour V. Parter Iterative Methods for Elliptic Problems
and the Discovery of ``q'' . . . . . . . 153--175
Robert L. Higdon Initial-Boundary Value Problems for
Linear Hyperbolic Systems . . . . . . . 177--217
Charles W. Bert Falling Dominoes . . . . . . . . . . . . 219--224
Richard C. Pappas Differential-Geometric Solution of a
Problem in Electrostatics . . . . . . . 225--227
T. Morley Correction . . . . . . . . . . . . . . . 229--229
Tom Morley Errata: ``A simple proof that the world
is three-dimensional'' [SIAM Rev. \bf 27
(1985), no. 1, 69--71 and MR 86f:35111] 229--229
Richard D. Spinetto An Optimal Error Distribution Problem 231--231
John H. Halton Two Algebraic Problems . . . . . . . . . 231--232
Anthony D. Rawlins On the Roots of Bessel Function Equation 232--233
Jerold R. Bottiger and
David K. Cohoon A Normalization Constant . . . . . . . . 233--233
M. L. Glasser and
H. E. Fettis A Fourier Sine Series . . . . . . . . . 233--233
Wallace Franck Book Review: \booktitleAn Optimal Search
(Richard Bellman) . . . . . . . . . . . 233--234
W. Vanassche and
J. A. Crow and
T. A. Grandine and
Z. J. Kabala and
H. J. Seiffert and
W. B. Jordan An Asymptotic Problem . . . . . . . . . 234--238
Walter Van Assche Book Review: \booktitleAn Asymptotic
Problem (Pierre Barrucand) . . . . . . . 234--238
T. L. McCoy Book Review: \booktitleConstructing
Nodes for Optimal Quadrature (J. P.
Lambert) . . . . . . . . . . . . . . . . 238--240
T. L. Mccoy and
Z. K. Kabala and
R. E. Shafer Constructing Nodes for Optimal
Quadrature . . . . . . . . . . . . . . . 238--240
David S. Watkins Book Review: \booktitleEigenvalues and
Eigenvectors of a Large Matrix (N. Oden) 240--241
D. S. Watkins and
C. R. Crawford Eigenvalues and Eigenvectors of a Large
Matrix . . . . . . . . . . . . . . . . . 240--241
Gilbert N. Lewis Book Review: \booktitleOn a Nolnlinear
Matrix Differential Equation (P.
Schweitzer) . . . . . . . . . . . . . . 241--242
G. N. Lewis and
W. Bohm and
A. A. Diwan and
A. A. Jagers and
Z. J. Kabala and
D. F. Lockhart On a Nonlinear Matrix
Differential-Equation . . . . . . . . . 241--242
C. Georghiou and
I. P. E. Kinnmark Book Review: \booktitleAn Infinite Sum
(M. L. Glasser) . . . . . . . . . . . . 242--242
C. Georghiou and
I. P. E. Kinnmark and
E. P. Gray and
W. B. Jordan and
K. W. Lau and
O. Ruehr An Infinite Sum . . . . . . . . . . . . 242--242
A. J. Bosch and
F. W. Steutel Book Review: \booktitleAn Identity (M.
S. Klamkin and O. G. Ruehr) . . . . . . 243--244
A. J. Bosch and
F. W. Steutel and
S. L. Damjanovic and
A. A. Jagers and
W. B. Jordan and
G. Parker An Identity . . . . . . . . . . . . . . 243--244
Abraham Berman Book Review: \booktitleNonnegative
Matrices in Dynamic Programming (W. H.
M. Zijm) . . . . . . . . . . . . . . . . 245--246
George Berzsenyi Book Review: \booktitleProblem Book for
First Year Calculus (George W. Bluman) 246--247
Garrett Birkhoff Book Review: \booktitleApplications of
Abstract Algebra (George Mackiw) . . . . 247--247
Albert A. Blank Book Review: \booktitleMultivariable
Analysis (G. Baley Price) . . . . . . . 247--248
George W. Bluman Book Review: \booktitleGroup Invariance
in Engineering Boundary Value Problems
(R. Seshadri and T. Y. Na) . . . . . . . 248--249
Jeffrey A. Brumfield Book Review: \booktitleComputer
Performance Modeling Handbook (Stephen
S. Lavenberg, ed.) . . . . . . . . . . . 249--250
Don Coppersmith Book Review: \booktitleHow to Multiply
Matrices Faster (Victor Pan) . . . . . . 250--252
James W. Demmel Book Review: \booktitleMatrix
Computations (Gene H. Golub and Charles
F. van Loan) . . . . . . . . . . . . . . 252--255
Joel Franklin Book Review: \booktitleFixed Point
Theorems with Applications to Economics
and Game Theory (Kim C. Border) . . . . 255--255
H. I. Freedman Book Review: \booktitleConcepts and
Models of a Quantitative Sociology-The
Dynamics of Interacting Populations (W.
Weidlich and G. Haag) . . . . . . . . . 255--256
Susan Friedlander Book Review: \booktitleImaging the
Earth's Interior (Jon F. Claerbou) . . . 256--257
James E. Gentle Book Review: \booktitleStatistical
Computation (J. H. Maindonald) . . . . . 257--259
Leon Glass Book Review: \booktitleModeling Dynamic
Phenomena in Molecular and Cellular
Biology (Lee A. Segel) . . . . . . . . . 259--260
William W. Hager Book Review: \booktitleComputational
Functional Analysis (Ramon E. Moore) . . 260--260
James D. Hess Book Review: \booktitleTinbergen
Lectures on Organization Theory (Martin
J. Beckmann) . . . . . . . . . . . . . . 260--261
David J. Kaup Book Review: \booktitleAdvances in
Nonlinear Waves-Volumes I/II (Lokenath
Debnath, ed.) . . . . . . . . . . . . . 261--262
W. David Kelton Book Review: \booktitleElements of
Simulation (Byron J. T. Morgan) . . . . 262--265
N. C. Kenkel Book Review: \booktitleCanonical
Analysis --- a Review with Application
in Ecology (R. Gittins) . . . . . . . . 265--266
Eusebio L. Koh Book Review: \booktitleIntegral
Transforms and their Applications ---
Second Edition (B. Davies) . . . . . . . 266--266
Edith H. Luchins Book Review: \booktitleDiscrete
Mathematics (Kenneth A. Ross and Charles
R. B. Wright) and Applied Combinatorics
(Fred S. Roberts) . . . . . . . . . . . 267--269
Anne Magnon Book Review: \booktitleSemi-Riemannian
Geometry-with Applications to Relativity
(Barrett O'Neill) . . . . . . . . . . . 269--270
N. Marcuvitz Book Review: \booktitleSound Propagation
in Stratified Fluids (Calvin H. Wilcox) 270--271
Kenneth R. Meyer Book Review: \booktitleSingularities and
Groups in Bifurcation Theory, Volume I
(Martin Golubitsky and David G.
Schaeffer) . . . . . . . . . . . . . . . 271--272
Thomas R. Morgan Book Review: \booktitleDeconvolution
(Anton Ziolkowski) . . . . . . . . . . . 272--273
Tinsley J. Oden Book Review: \booktitleGalerkin Finite
Element Methods for Parabolic Problems
(Vidar Thomée) . . . . . . . . . . . . . 273--275
Sidney C. Port Book Review: \booktitleProbability,
Random Variables, and Stochastic
Processes-Second Edition (Athanasios
Papoulis) . . . . . . . . . . . . . . . 275--276
Chander Prakash Book Review: \booktitleNumerical Heat
Transfer (T. M. Shin) . . . . . . . . . 276--277
Andrea Pugliese Book Review: \booktitleDeterministic
Aspects of Mathematical Demography (John
Impagliazzo) . . . . . . . . . . . . . . 277--278
Hans Sagan Book Review: \booktitleBoundary Methods:
an Algebraic Theory (Ismael Herrera) . . 278--279
Richard F. Serfozo Book Review: \booktitleAsymptotic
Methods in Queueing Theory (A. A.
Borovkov) . . . . . . . . . . . . . . . 279--283
Philip W. Smith Book Review: \booktitle$n$-Widths in
Approximation Theory (Allan Pinkus) . . 283--284
Richard Tapia Book Review: \booktitleEngineering
Optimization: Methods and Applications
(G. V. Reklaitis, A. Ravindran and K. M.
Ragsdell) . . . . . . . . . . . . . . . 284--285
Calvin H. Wilcox Book Review: \booktitleThe Analysis of
Linear Partial Differential Operators.
Vol. III: Pseudo-Differential Operators
(Lars Hörmander) and \booktitleThe
Analysis of Linear Partial Differential
Operators. Vol. IV: Fourier Integral
Operators (Lars Hörmander) . . . . . . . 285--287
Wayne Wolf Book Review: \booktitleComplexity Issues
in VLSI-Optimal Layouts for the
Shuffle-Exchange Graph and Other
Networks (Frank Thomson Leighton) . . . 287--288
Anonymous Other Books Recieved . . . . . . . . . . 288--295
Anonymous New Members . . . . . . . . . . . . . . 296--305
Anonymous Elected and Appointed Officials . . . . 306--306
George H. Handelman Some Reminiscences about Richard C.
DiPrima:1927-1984 . . . . . . . . . . . 307--313
J. T. Stuart Taylor-Vortex Flow: a Dynamical System 315--342
Frederick F. Ling Asymptotic Analyses in Isothermal Fluid
Film Lubrication Theories . . . . . . . 343--366
P. M. Pardalos and
J. B. Rosen Methods for Global Concave Minimization:
a Bibliographic Survey . . . . . . . . . 367--379
Piero Bassanini Interference in Thin Films . . . . . . . 381--384
Thomas J. Lardner Minimum Value of a Projectile Velocity 385--388
James F. Epperson Analysis and Implementation of an Oxygen
Absorption Model . . . . . . . . . . . . 389--393
Tze-San Lee On the Uniqueness of a Minimum Problem 395--395
John Makhoul Conjectured Location of Maximum
Amplitude in an All-Pass Sequence . . . 395--397
J. S. Huang Worst Polynomial Approximation to $ f(x)
= x $ . . . . . . . . . . . . . . . . . 397--397
S. W. Wallace A Stochastic Transportation Problem . . 397--397
DankMar Boöning A Uniqueness Problem . . . . . . . . . . 397--398
David G. Cantor Book Review: \booktitleA multi-Variable
Extremum Problem (V. Balakotaiah) . . . 398--399
D. G. Cantor A Multivariable Extremum Problem . . . . 398--399
S. Damjanovic A Bessel Function Integral . . . . . . . 399--400
I. Elishakoff and
D. Livshits Sums of Powers of Roots of a
Transcendental Equation . . . . . . . . 400--402
W. B. Jordan Sums of Powers of Roots of a
Transcendental Equation . . . . . . . . 400--402
M. L. Glasser Book Review: \booktitleInfinite Sums of
Bessel Functions (D. M. Petkovi\'c) . . 402--403
W. B. Jordan Book Review: \booktitleExtension of
Routh's Theorem to Spherical Triangles
(A. Sharma and Murray S. Klamkin) . . . 403--404
C. E. Tripp Late Solution . . . . . . . . . . . . . 404--404
W. F. Ames Book Review: \booktitleInequality
Problems in Mechanics and Applications:
Convex and Nonconvex Enemy Functions (P.
D. Panagiotopoulos) . . . . . . . . . . 405--406
Hassan Aref Book Review: \booktitleChaos, Fractals,
and Dynamics (P. Fischer and William R.
Smith, eds.) . . . . . . . . . . . . . . 406--407
Guy W. Cherry Book Review: \booktitleComputer
Algebra-Symbolic and Algebraic
Computation. 2nd Edition (B. Buchberger,
G. E. Collins and R. Loos, ed.) . . . . 407--408
James A. Cochran Book Review: \booktitleIntroduction to
Integral Equations with Applications
(Abdul J. Jerri) . . . . . . . . . . . . 408--409
F. Colonius Book Review: \booktitleOscillation
Theory of Optimal Processes (George M.
Smirnov) . . . . . . . . . . . . . . . . 410--411
C. Corduneanu and
A. Korzeniowski Book Review: \booktitleStochastic
Functional Differential Equations (S-E.
A. Mohammed) . . . . . . . . . . . . . . 411--413
Subhendu K. Datta Book Review: \booktitleThe Excitation
and Propagation of Elastic Waves (J. A.
Hudson) . . . . . . . . . . . . . . . . 413--414
Stanley C. Eisenstat Book Review: \booktitleDirect Methods
for Sparse Matrices (Ole òsterby and
Zahari Zlatev) . . . . . . . . . . . . . 414--414
Richard Franke Book Review: \booktitleThe Elements of
Graphing Data (William S. Cleveland) . . 414--416
Robert M. Freund Book Review: \booktitleComplementary
Pivoting on a Pseudomanifold Structure
with Applications in the Decision
Sciences (F. J. Gould and J. W. Tolls) 416--417
Eldon Hansen Book Review: \booktitleNumerical Methods
for Unconstrained Optimization and
Nonlinear Equations (J. E. Dennis, Jr.,
and Robert B. Schnabel) . . . . . . . . 417--419
Daniel P. Heyman Book Review: \booktitleThe M/M/Infinity
Service System with Ranked Servers in
Heavy Traffic (G. F. Newell) . . . . . . 419--420
Mark Holmes Book Review: \booktitleProblems in
Perturbation (Ali Hasan Nayfeh) . . . . 420--421
F. A. Homles Book Review:
\booktitleSingular-Perturbation Theory:
an Introduction with Applications
(Donald R. Smith) . . . . . . . . . . . 421--423
David Jowett Book Review: \booktitleInfinitely
Divisible Statistical Experiments
(Arnold Janssen, Hartmut Milbrodt, and
Helmut Strasser) . . . . . . . . . . . . 423--424
Frank B. Knight Book Review: \booktitleBrownian Motion
and Stochastic Flow Systems (J. Michael
Harrison) . . . . . . . . . . . . . . . 424--426
Hél\`ene Lanchon Book Review: \booktitleLes Methodes de
L'homogénéisation: Théorie et Applications
en Physique (D. J. Berg-Man, J. L.
Lions, G. C. Papanicolaou, F. Murat, L.
Tartar and E. Sanchez-Palencia) . . . . 426--427
K. K. Lee Book Review: \booktitleApplied
Differential Geometry (William L. Burke) 427--428
Jean Mawhin Book Review: \booktitleConvexity Methods
in Variational Calculus (Peter Smith) 428--430
Kevin P. Meade Book Review: \booktitleThe Finite
Element Method Displayed (Gouri Dhatt
and Gilbert Touzot) . . . . . . . . . . 430--431
Subrata Mukherjee Book Review: \booktitleTopics in
Boundary Element Research. Volume 1,
Basic Principles and Applications (C. A.
Brebbia, ed.) . . . . . . . . . . . . . 431--432
Robert M. Nauss Book Review: \booktitleLinear and
Nonlinear Programming --- an
Introduction to Linear Methods in
Mathematical Programming (Roger Hartley) 432--433
Frank W. J. Olver Book Review: \booktitleLinear Turning
Point Theory (Wolfgang Wasow) . . . . . 433--435
Edward W. Packel Book Review: \booktitleA General Theory
of Optimal Algorithms (J. F. Traub and
H. Wozniakowski) . . . . . . . . . . . . 435--437
John H. Rowland Book Review: \booktitleComputational
Mathematics --- an Introduction to
Numerical Approximation (T. R. F.
Nonweilerz) . . . . . . . . . . . . . . 437--438
Howard M. Taylor Book Review: \booktitleProbabilistic
Models of Cumulative Damage (J. L.
Bogdanoff and F. Kozin) . . . . . . . . 438--440
Bram van Leer Book Review: \booktitleComputational
Methods for Fluid Flow (Roger Peyret and
Thomas D. Taylor) . . . . . . . . . . . 440--442
J. T. P. Yao Book Review: \booktitleProbabilistic
Methods in Structural Engineering (G.
Augusti, A. Baratta and F. Casciati) . . 442--443
Victor Pan Author's Comments on Don Coppersmith's
Review . . . . . . . . . . . . . . . . . 443--444
Anonymous Other Books Received . . . . . . . . . . 444--451
Anonymous New Members . . . . . . . . . . . . . . 452--456
Anonymous Elected and Appointed Officials . . . . 457--457
Moser Jürgen Recent Developments in the Theory of
Hamiltonian Systems . . . . . . . . . . 459--485
Jürgen Moser Recent Developments in the Theory of
Hamiltonian Systems . . . . . . . . . . 459--485
M. J. D. Powell Convergence Properties of Algorithms for
Nonlinear Optimization . . . . . . . . . 487--500
J. L. Nazareth Conjugate Gradient Methods Less
Dependent on Conjugacy . . . . . . . . . 501--511
David Strauss On a General Class of Models for
Interaction . . . . . . . . . . . . . . 513--527
Layne T. Watson Numerical Linear Algebra Aspects of
Globally Convergent Homotopy Methods . . 529--545
T. S. Lee A Complete Russels Method for the
Transportation Problem . . . . . . . . . 547--549
Lee Tze-San A Complete Russel's Method for the
Transportation Problem . . . . . . . . . 547--549
Michael F. Hyde Financial Planning in an Inflationary
Economy . . . . . . . . . . . . . . . . 551--564
C. L. Frenzen Sign Pattern of Terms of a Maclaurin
Series . . . . . . . . . . . . . . . . . 565--565
David Singmaster Maximum Stability . . . . . . . . . . . 565--565
G. C. Wake A Nonlinear Difference Equation . . . . 566--567
P. R. Vein A Conjectured Minimum Degree
Determinantal Polynomial . . . . . . . . 567--567
P. A. Roediger and
J. G. Mardo An OC Curve Inequality . . . . . . . . . 568--568
C. J. Bouwkamp Book Review: \booktitleA Conjectured
Definite Integral (A. H. Nuttall) . . . 568--569
J. A. Goldstein and
Kosaki H. Book Review: \booktitleAn Integral
Identity (M. L. Glasser) . . . . . . . . 570--570
J. A. Goldstein and
H. Kosaki An Integral Identity . . . . . . . . . . 570--570
W. B. Jordan Book Review: \booktitleRadius of
Convergence of a Power Series (J. E.
Wilkins) . . . . . . . . . . . . . . . . 570--572
W. B. Jordan Radius of Convergence of a Power Series 571--572
M. L. Glasser Book Review: \booktitleA Hypergeometric
Function Integral (S. Lj. D Iuanovi\'c) 572--573
H.-J. Seiffert Book Review: \booktitleAn Inequality (J.
L. Brenner, W. A. Newcomb and O. G.
Rueh) . . . . . . . . . . . . . . . . . 573--574
H. J. Seiffert An Inequality . . . . . . . . . . . . . 574--574
R. Askey Basic Hypergeometric Extensions of Some
Integrals . . . . . . . . . . . . . . . 574--575
R. G. Buschman Book Review: \booktitleA Moment
Generating Function (E. Q. George and C.
C. Rousseau) . . . . . . . . . . . . . . 575--576
W. A. Al-Salam and
J. L. Fields Book Review: \booktitleAn Identity for
Double Hypergeometric Series (H. M.
Srivastava) . . . . . . . . . . . . . . 576--578
W. A. Alsalam An Identity for Double Hypergeometric
Series . . . . . . . . . . . . . . . . . 576--578
O. P. Lossers Book Review: \booktitleSeries Involving
Bessel Functions (Eldon Hansen) . . . . 578--579
M. S. Klamkin Inequality for a Simplex . . . . . . . . 578--580
O. P. Lossers Series Involving Bessel-Functions . . . 579--579
M. S. Klamkin Book Review: \booktitleInequality for a
Simplex (M. S. Klamkin) . . . . . . . . 579--580
G. R. Blakley Book Review: \booktitleSecure Speech
Communications (Henry J. Beker and Fred
C. Piper) . . . . . . . . . . . . . . . 581--582
C. Y. Chao Book Review: \booktitleGraphs and
Algorithms (M. Gondran and M. Minoux) 583--584
B. D. Craven Book Review: \booktitleTheory of
Multiobjective Optimization (Yoshikazu
Sawaragi, Hirotaka Nakayama and Tetsuzo
Tanino) . . . . . . . . . . . . . . . . 584--586
T. A. Cruse Book Review: \booktitleThe Boundary
Integral Equation Method in Axisymmetric
Stress Analysis Problems (A. A. Bakr) 586--586
Theodore Eisele Book Review: \booktitleEntropy, Large
Deviations, and Statistical Mechanics
(Richard S. Ellis) . . . . . . . . . . . 586--587
I. J. Good Book Review: \booktitleStatistical
Inference Based on Ranks (Thomas P.
Hettmansperger) . . . . . . . . . . . . 587--588
Edward J. Haug Book Review: \booktitleMethods of
Functional Analysis for Application in
Solid Mechanics (Jayme Mason) . . . . . 588--589
Peter Henrici Book Review: \booktitleIntroduction to
Applied Mathematics by Gilbert Strang 590--592
Nicholas D. Kazarinoff Book Review: \booktitleMethods in the
Qualitative Theory of Dynamical Systems
in Astrophysics and Gas Dynamics (Oleg
I. Bogoyavlensky) . . . . . . . . . . . 592--593
Joseph B. Keller Book Review: \booktitleStochastic Wave
Propagation (Kazimierz Sobczyk) . . . . 593--594
N. C. Kenkel Book Review: \booktitleEnvironmental and
Natural Resource Mathematics (Robert W.
McKelvey, ed.) . . . . . . . . . . . . . 594--595
Pramod Khargonekar Book Review: \booktitleSystem Theory: a
Hilbert Space Approach (Avraham Feintuch
and Richard Saeks) . . . . . . . . . . . 595--597
Robin McLeod Book Review: \booktitleThe Mathematical
Description of Shape and Form (E. A.
Lord and C. B. Wilson) . . . . . . . . . 597--599
Christopher R. Odgers Book Review: \booktitleComputer
Animation: Theory and Practice (Nadia
Magnenat-Thalmann and Daniel Thalmann) 600--601
Thomas A. Porsching Book Review: \booktitleProgress and
Supercomputing in Computational Fluid
Dynamics: Proceedings of U.S.--Israel
Workshop, 1984 (Earll M. Murman and Saul
S. Abarbanel, eds.) . . . . . . . . . . 601--601
Bram van Leer Book Review: \booktitleComputational
Fluid Mechanics and Heat Transfer (Dale
A. Anderson, John C. Tannehill and
Richard H. Pletcher) . . . . . . . . . . 602--603
Anonymous Other Books Reviews . . . . . . . . . . 604--612
Anonymous New Members . . . . . . . . . . . . . . 613--618
Anonymous Report of the Treasure for the Year
Ending December 31, 1985 . . . . . . . . 619--620
John W. Tukey Configural Polysampling . . . . . . . . 1--20
E. Polak On the Mathematical Foundations of
Nondifferentiable Optimization in
Engineering Design . . . . . . . . . . . 21--89
Donald R. Smith Decoupling and order reduction via the
Riccati transformation . . . . . . . . . 91--113
Chr. Kaas-Petersen Continuation Methods as the Link Between
Perturbation Analysis and Asymptotic
Analysis . . . . . . . . . . . . . . . . 115--120
Moshe Deutsch The Attenuated Abel Transform . . . . . 121--121
Donald Richards and
Stamatis Cambanis A Multinomial Summation . . . . . . . . 121--122
M. L. Glasser A Definite Integral . . . . . . . . . . 122--123
N. M. Blachman A Generalization of Student's $t$
Distribution . . . . . . . . . . . . . . 123--123
A. N. Philippou Asymptotic Reliability of Consecutive
$k$-out-of- $n$: $F$ System . . . . . . 123--124
James H. Case Book Review: \booktitleAn Optimal
Control Problem (J. C. Moorhouse and J.
V. Baxley) . . . . . . . . . . . . . . . 124--127
J. H. Case An Optimal Control Problem . . . . . . . 124--127
D. E. Knuth and
O. P. Lossers Book Review: \booktitleA Random Knockout
Tournament (D. E. Knuth) . . . . . . . . 127--129
D. E. Knuth A Random Knockout Tournament . . . . . . 127--129
Richard Askey and
S. Lj. Damjanovi\'c Book Review: \booktitleOn the Sign of a
Set of Hypergeometric Functions (Richard
Askey) . . . . . . . . . . . . . . . . . 129--131
M. Rahman On the Sign of a Set of Hypergeometric
Functions . . . . . . . . . . . . . . . 129--131
S. Lj. Damjanovi\'c An Identity for a ${}_4 F_3 $
Hypergeometric Function . . . . . . . . 131--132
M. Rahman An Identity for a 4F3 Hypergeometric
Function . . . . . . . . . . . . . . . . 131--132
S. W. Graham and
O. Ruehr and
O. P. Lossers Book Review: \booktitleConjectured
Trigonometrical Identities (M. Henkel
and J. Lacki) . . . . . . . . . . . . . 132--135
S. W. Graham and
O. Ruehr and
O. P. Lossers and
M. Renardy Conjectured Trigonometrical Identities 132--135
Anonymous Book Review: \booktitleLate Solutions
(S. Lj. Damjanovi\'c) . . . . . . . . . 135--135
P. K. Banerjee Book Review: \booktitleTopics in
Boundary Element Research. Volume 2:
Time-Dependent and Vibration Problems.
(C. A. Brebbia, ed.) . . . . . . . . . . 137--138
R. P. Boas Book Review: \booktitleApplied and
Computational Complex Analysis. Volume
Three: Discrete Fourier Analysis-Cauchy
Integrals-Construction of Conformal
Maps-Univalent Functions (Peter Henrici.
John Wiley) . . . . . . . . . . . . . . 138--138
E. M. Carter Book Review: \booktitleElementary
Multivariate Analysis for the Behavioral
Sciences-Applications of Basic
Structure. (Clifford E. Lunneborg and
Robert D. Abbott) . . . . . . . . . . . 139--139
Susan Cole Book Review: \booktitleWater Waves and
Ship Hydrodynamics: an Introduction (R.
Timman, A. J. Hermans and G. C. Hsiao) 139--140
Václav Fabian Book Review: \booktitleInstrumental
Variables. (Roger J. Bowden and Darrell
A. Turkington) . . . . . . . . . . . . . 140--142
Stan Fromovitz Book Review: \booktitleAlgorithms and
Approximations for Queueing Systems. (M.
H. van Hoorn) . . . . . . . . . . . . . 142--143
Horst W. Hamacher Book Review: \booktitleOptimisation
Combinatoire --- Méthodes Mathématiques et
Algorithmiques: Programmation
Discr\`ete; Optimisation Combinatoire
Méthodes Mathématiques et Algorithmiques:
Graphes et Programmation Linéaire (Michel
Sakarovitch) . . . . . . . . . . . . . . 143--144
Lev B. Levitin Book Review: \booktitleProbability and
Information. (A. M. Yaglom and I. M.
Yaglom) . . . . . . . . . . . . . . . . 144--146
Donald Ludwig Book Review: \booktitleStochastic
Processes in Demography and Their
Computer Implementation (C. J. Mode) . . 146--149
David S. Malkus Book Review: \booktitleMatrix and Finite
Element Displacement Analysis of
Structures (D. J. Dawe) . . . . . . . . 149--151
Robert H. Martin, Jr. Book Review: \booktitleSemigroups of
Linear Operators and Applications
(Jerome A. Goldstein) . . . . . . . . . 151--153
E. F. Masur Book Review: \booktitleStructural
Optimization. Volume 1: Optimality
Criteria (M. Save and W. Prager, eds.) 153--154
Nilotpal Mitra Book Review: \booktitleGroup Theory in
Physics, Vols. I and II (J. F. Cornwell) 154--155
John C. Nash Book Review: \booktitleRisk Theory-the
Stochastic Basis of Insurance. Third
Edition. (R. E. Beard, T. Pentikainen
and E. Pesonen) . . . . . . . . . . . . 155--156
R. E. O'Malley, Jr. Book Review: \booktitleAveraging Methods
in Nonlinear Dynamical Systems. (J. A.
Sanders and F. Verhulst) . . . . . . . . 157--158
Edward W. Packel Book Review: \booktitleGame Theory in
the Social Sciences Concepts and
Solutions (Martin Shubik) . . . . . . . 158--160
Thomas Parker Book Review: \booktitleInstantons and
Four-Manifolds (Daniel S. Freed and
Karen K. Uhlenbeck) . . . . . . . . . . 160--162
Roger Pinkham Book Review: \booktitleMathematical
Experiments on the Computer (Ulf
Grenander) . . . . . . . . . . . . . . . 162--163
Mark Pinsky Book Review: \booktitleStochastic
Differential Equations. An Introduction
with Applications (B. Oksendal) . . . . 163--164
Vera Piless Book Review: \booktitleProblems In
Combinatorics and Graph Theory (Ioan
Tomescu) . . . . . . . . . . . . . . . . 164--164
Tudor Ratiu Book Review: \booktitleSymmetries for
Dynamical and Hamiltonian Systems (by H.
M. M. ten Eikelder) . . . . . . . . . . 165--166
J. W. Thomas Book Review: \booktitleNumerical Methods
for Scientific and Engineering
Computation (M. K. Jain, S. R. K.
Iyengar and R. K. Jain, eds) . . . . . . 166--167
Anonymous Other Books Received . . . . . . . . . . 167--174
Anonymous New Members . . . . . . . . . . . . . . 175--182
Anonymous Elected and Appointed Officials . . . . 183--183
M. H. Protter Can One Hear the Shape of a Drum ---
Revisited . . . . . . . . . . . . . . . 185--197
David A. Smith and
William F. Ford and
Avram Sidi Extrapolation Methods for Vector
Sequences . . . . . . . . . . . . . . . 199--233
Richard E. Plant and
Marc Mangel Modeling and Simulation in Agricultural
Pest Management . . . . . . . . . . . . 235--261
R. Estrada and
R. P. Kanwal The Carleman Type Singular Integral
Equations . . . . . . . . . . . . . . . 263--290
M. Luisa N. McAllister An Algorithm for Networks of Rules . . . 291--296
C. Robert Appledorn The Entropy of a Poisson Distribution 297--297
Walter Gautschi A Conjectured Inequality for Hermite
Interpolation at the Zeros of Jacobi
Polynomials . . . . . . . . . . . . . . 297--298
John W. Moon An Identity . . . . . . . . . . . . . . 298--299
Edward J. Allen On the Error in Padé Approximation . . . 299--299
Danny Summers Double Summations . . . . . . . . . . . 299--299
Seppo Karrila and
A. A. Jagers Book Review: \booktitleTwo Algebraic
Problems (John H. Halton) . . . . . . . 299--301
S. Karrila and
A. A. Jagers and
J. H. Halton Two Algebraic Problems . . . . . . . . . 299--301
A. A. Jagers Book Review: \booktitleOn the Roots of a
Bessel Function Equation (Anthony D.
Rawlins) . . . . . . . . . . . . . . . . 301--302
A. A. Jagers and
A. D. Rawlins On the Roots of a Bessel-Function
Equation . . . . . . . . . . . . . . . . 301--302
M. L. Glasser Book Review: \booktitleA Normalization
Constant (Jerold R. Bottiger and David
K. Cohoon) . . . . . . . . . . . . . . . 302--303
A. A. Jagers and
M. L. Glasser and
H. E. Fettis Book Review: \booktitleA Fourier Sine
Series (M. L. Glasser and H. E. Fettis) 303--305
Joe H. Chow Book Review: \booktitleLanczos
Algorithms for Large Symmetric
Eigenvalue Computations (Jane K. Cullum
and Ralph A. Willoughby) . . . . . . . . 307--309
Tom Coleman Book Review: \booktitleNumerical
Optimization Techniques (Yurij G.
Evtushenko) . . . . . . . . . . . . . . 309--310
Margaret B. Cozzens Book Review: \booktitleMathematics in
the Social and Life Sciences: Theories,
Models and Methods (M. A. Ball) . . . . 310--311
Ernst-Erich Doberkat Book Review: \booktitleFundamentals of
the Average Case Analysis of Particular
Algorithms (Rainer Kemp) . . . . . . . . 311--314
C. M. Elliott Book Review: \booktitleVariational and
Quasivariational Inequalities
Applications to Free-Boundary Problems
(Claudio Baiocchi And António Capelo) . . 314--315
B. K. Ghosh Book Review: \booktitleSequential
Analysis: Tests and Confidence Intervals
(David Siegmund) . . . . . . . . . . . . 315--318
J. A. Goguen and
J. Meseguer Book Review: \booktitleFundamentals of
Algebraic Specification 1: Equations and
Initial Semantics (H. Ehrig and B. Mahr) 318--322
Raymond N. Greenwell Book Review: \booktitleIntroduction to
Probability Theory (Kiyosi Itô) . . . . . 322--323
C. W. Groetsch Book Review: \booktitleComputational
Methods for Integral Equations (L. M.
Delves and J. L. Mohamed) . . . . . . . 323--324
John Guckenheimer Book Review: \booktitleProbabilistic
Properties of Deterministic Systems
(Andrzej Lasota and Michael C. Mackey) 324--326
Melvin J. Hinich Book Review: \booktitleAn Introduction
to Bispectral Analysis and Bilinear Time
Series Models (T. Subba Rao and M. M.
Gabr) . . . . . . . . . . . . . . . . . 326--329
Rolf Jeltsch Book Review: \booktitleStiff Computation
(Richard C. Aiken, ed.) . . . . . . . . 329--330
Pallee E. T. Jorgensen Book Review: \booktitleHarmonic Analysis
on Symmetric Spaces and Applications I
(Aunxey Terras) . . . . . . . . . . . . 330--332
Leon M. Keer Book Review: \booktitleContact Mechanics
(K. L. Johnson) . . . . . . . . . . . . 332--333
Daniel Ocone Book Review: \booktitleControlled Markov
Processes: Time-Discretization (N. M.
Van Dijk) . . . . . . . . . . . . . . . 333--334
M. H. Protter Book Review: \booktitleThe Boundary
Value Problems of Mathematical Physics
(O. A. Ladyzhenskaya) . . . . . . . . . 334--335
Rouben Rostamain Book Review: \booktitleHeat Conduction
Within Linear Thermoelasticity (William
Alan Day) . . . . . . . . . . . . . . . 335--336
V. S. Varadarajan Book Review: \booktitleGroup
Representations and Special Functions
(by Antoni Wawrzynczyk) . . . . . . . . 336--337
Anonymous Other Books Received . . . . . . . . . . 337--347
Anonymous New Members . . . . . . . . . . . . . . 349--357
A. M. Bruckstein and
T. Kailath Inverse Scattering for Discrete
Transmission-Line Models . . . . . . . . 359--389
J. Kevorkian Perturbation Techniques for Oscillatory
Systems with Slowly Varying Coefficients 391--461
A. J. Bosch Note on the Factorization of a Square
Matrix into Two Hermitian or Symmetric
Matrices . . . . . . . . . . . . . . . . 463--468
S. W. Rienstra Monotonicity of Bessel Functions . . . . 469--469
M. M. Chawla A Column Vector Problem from Numerical
Integration . . . . . . . . . . . . . . 469--470
J. Gevirtz and
O. G. Ruehr A Nonnegative Integral . . . . . . . . . 470--470
Vincent Salmon Safe Car Following . . . . . . . . . . . 470--470
M. S. Klamkin An Optimum Multistage Rocket Design . . 470--471
G. E. Andrews A Partition Function Identity . . . . . 471--473
F. Almgren Book Review: \booktitleEquilibrium
Capillary Surfaces (Robert Finn) . . . . 475--476
Frederick J. Beutler Book Review: \booktitleMathematical
Topics in Telecommunications. Volume 2:
Problems of Randomness in Communication
Engineering (K. W. Cattermole and J. J.
O'Reilly, eds.) . . . . . . . . . . . . 476--477
W. A. Day Book Review: \booktitleLectures on
Viscoelasticity Theory (A. C. Pipkin) 477--478
Rick Durrett Book Review: \booktitleÉcole d'Été de
Probabilités de Saint-Flour XIV (R.
Carmona, H. Kesten and J. B. Walsh; P.
L. Hennequin, ed.) . . . . . . . . . . . 478--478
Stan Fromovitz Book Review: \booktitleIntroduction to
Probability and Mathematical Statistics
(Václav Fabian and James Hannan) . . . . 478--479
Charles R. Johnson Book Review: \booktitleThe Theory of
Matrices. Second Edition (with
Applications) (Peter Lancaster and Miron
Tismenetsky) . . . . . . . . . . . . . . 479--480
Mark H. Karwan Book Review: \booktitleStochastic
Programming with Multiple Objective
Functions (I. M. Stancu-Minasian) . . . 480--481
Josip Loncari\'c Book Review: \booktitleRobot Hands and
the Mechanics of Manipulation (Matthew
T. Mason and J. Kenneth Salisbury, Jr.) 481--483
Ewing Lusk Book Review: \booktitleThe Computer
Modelling of Mathematical Reasoning
(Alan Bundy) . . . . . . . . . . . . . . 483--484
F. R. McMorris Book Review: \booktitleInterval Orders
and Interval Graphs --- a Study of
Partially Ordered Sets (Peter C.
Fishburn) . . . . . . . . . . . . . . . 484--486
Richard R. Patterson Book Review: \booktitleSurface Topology.
(P. A. Firby and C. F. Gardiner) . . . . 486--487
Howard E. Reinhardt Book Review: \booktitleStatistical
Decision Theory and Bayesian Analysis.
Second Edition (James O. Berger) . . . . 487--489
Roland Schinzinger Book Review: \booktitleQualitative
Reasoning about Physical Systems (Daniel
G. Bobrow, eds.) . . . . . . . . . . . . 489--492
R. E. Sheriff Book Review: \booktitleSeismic Wave
Propagation in Stratified Media (B. L.
N. Kennett) . . . . . . . . . . . . . . 492--493
R. E. Showalter Book Review: \booktitleApproximation of
Nonlinear Evolution Systems (Joseph W.
Jerome) . . . . . . . . . . . . . . . . 493--495
Michael Shub Book Review: \booktitleInformation,
Uncertainty, Complexity (J. F. Traub, G.
W. Wasilkowski and H. Wo\'zniakowski) 495--497
Marshall Slemrod Book Review: \booktitleHomogenization
and Effective Moduli of Materials and
Media (J. L. Ericksen, D. Kinderlehrer,
R. Kohn and J.-L. Lions, eds.) . . . . . 497--498
J. L. van Hemmen Book Review: \booktitleThe Theory of
Thermodynamics (J. R. Waldram) . . . . . 498--499
Andrew Vogt Book Review: \booktitleAn Axiomatic
Basis for Quantum Mechanics: Vol. 1,
Derivation of Hilbert Space Structure
(Günther Ludwig) . . . . . . . . . . . . 499--501
Alan Weiser Book Review: \booktitleElliptic Problem
Solvers II (Garrett Birkhoff and Arthur
Schoenstadt, eds.) . . . . . . . . . . . 502--503
Donald M. Wiberg Book Review: \booktitleInstrumental
Variable Methods for System
Identification (Torsten Söderström and
Petre Gheorghe Stoica) . . . . . . . . . 503--505
H. Wo\'zniakowski Book Review: \booktitleNondiscrete
Induction and Iterative Processes (F.-A.
Potra and V. Ptak) . . . . . . . . . . . 505--506
Basilis C. Xanthopoulos Book Review: \booktitleRotating Fields
in General Relativity (Jamal Nazrul
Islam) . . . . . . . . . . . . . . . . . 506--507
Gordon F. Newell Book Review: \booktitleAuthor's Comments
on Daniel P. Heyman's Review of: The
M/M/Infinity Service System with Ranked
Servers in Heavy Traffic (G. F. Newell) 507--508
Anonymous Other Books Received . . . . . . . . . . 508--516
Anonymous New Members . . . . . . . . . . . . . . 517--523
Eitan Tadmor Stability Analysis of Finite Difference,
Pseudospectral and Fourier--Galerkin
Approximations for Time-Dependent
Problems . . . . . . . . . . . . . . . . 525--555
Noel Cressie and
G. M. Laslett Random Set Theory and Problems of
Modeling . . . . . . . . . . . . . . . . 557--574
Nicholas J. Higham A Survey of Condition Number Estimation
for Triangular Matrices . . . . . . . . 575--596
Isom H. Herron The Orr--Sommerfeld Equation on Infinite
Intervals . . . . . . . . . . . . . . . 597--620
Dennis W. Quinn Determining the Input for a Dynamic
System which is not Completely
Controllable . . . . . . . . . . . . . . 621--623
Iraj Saniee A Note on Optimal Waiting Strategies at
Bus Stops . . . . . . . . . . . . . . . 625--629
A. A. Jagers Bounds for Nonlinear Heat Conduction . . 631--631
M. M. Chawla Bounded Polynomials with a Prescribed
Behaviour at the Origin . . . . . . . . 631--632
M. L. Glasser A Definite Integral of Bessel Functions 632--632
M. Stiassnie A Definite Integral from Surface Gravity
Waves . . . . . . . . . . . . . . . . . 632--632
Fikri Kuchuk Three Convolution Integrals . . . . . . 632--633
S. W. Wallace Book Review: \booktitleIncidence Matrix
for a Transportation Problem (S. W.
Wallace) . . . . . . . . . . . . . . . . 633--633
W. B. Jordon Book Review: \booktitleSign Pattern of
Terms of a Maclaurin Series (C. L.
Frenzen) . . . . . . . . . . . . . . . . 634--634
Peter M. Gibson Book Review: \booktitleA Conjectured
Minimum Degree Determinantal Polynomial
(P. R. Vein) . . . . . . . . . . . . . . 634--635
P. M. Gibson A Conjectured Minimum Degree
Determinantal Polynomial . . . . . . . . 634--635
W. B. Jordon and
C. L. Frenzen Sign Pattern of Terms of a Maclaurin
Series . . . . . . . . . . . . . . . . . 634--635
A. A. Jagers Book Review: \booktitleAn OC Curve
Inequality (P. A. Roediger and J. G.
Mardo) . . . . . . . . . . . . . . . . . 636--637
Anonymous Book Review: \booktitleProblem 85-20
(Dec. 1986, p. 574) . . . . . . . . . . 637--637
H. J. Seiffert Correction . . . . . . . . . . . . . . . 637--637
Stuart S. Antman Book Review: \booktitleWeighted Energy
Methods in Fluid Dynamics and Elasticity
(Giovanni P. Galdi and Salvatore
Rionero) . . . . . . . . . . . . . . . . 639--641
Zvi Artstein Book Review: \booktitleDynamic Games and
Applications in Economics. (T. Basar,
ed.) . . . . . . . . . . . . . . . . . . 641--641
Greg Astfalk Book Review: \booktitleAn Introduction
to the Numerical Solution of
Differential Equations (Douglas Quinney) 642--643
Derek P. Atherton Book Review: \booktitleRelay Control
Systems (Ya. Z. Tsypkin) . . . . . . . . 643--647
Dov Bai Book Review: \booktitleMultigrid Methods
for Integral and Differential Equations
(D. J. Paddon and H. Holstein, eds.) . . 647--648
David J. Benney Book Review: \booktitleWave Interactions
and Fluid Flows (A. D. D. Craik) . . . . 648--648
Moustafa T. Chahine Book Review: \booktitleFoundations of
Radiation Hydrodynamics (Dimitri Mihalas
and Barbara Weibel Mihalas) . . . . . . 648--650
W. H. Enright Book Review: \booktitleComputer Science.
A Mathematical Introduction (Art Lew) 650--651
Chris Godsil Book Review: \booktitleGraphical
Evolution. an Introduction to the Theory
of Random Graphs (Edgar M. Palmer) . . . 651--652
Kenneth B. Hannsgen Book Review: \booktitleStability and
Periodic Solutions of Ordinary and
Functional Differential Equations (T. A.
Burton) . . . . . . . . . . . . . . . . 652--654
Philip Holmes Book Review: \booktitleAn Introduction
to Chaotic Dynamical Systems (Robert L.
Devaney); Nonlinear Dynamics and Chaos:
Geometrical Methods for Engineers and
Scientists (J. M. T. Thompson and H. B.
Stewart) (with the Assistance of R.
Ghaffari and C. Franciosi and a
Contribution by H. L. Swinney) . . . . . 654--658
Pramod P. Khargonekar Book Review: \booktitleControl System
Synthesis: a Factorization Approach (M.
Vidyasagar) . . . . . . . . . . . . . . 658--660
K. S. Kölbig Book Review: \booktitleCalculation of
Special Functions, the Gamma Function,
the Exponential Integrals and Error-Like
Functions (C. G. van der Laan and N. M.
Temme) . . . . . . . . . . . . . . . . . 660--661
William F. Lucas Book Review: \booktitleGame Theoretic
Analysis of Voting in Committees
(Bezalel Peleg) . . . . . . . . . . . . 661--663
Marc Mangel Book Review: \booktitleSingular
Perturbation Analysis of Discrete
Control Systems (D. S. Naidu and A. K.
Rao) . . . . . . . . . . . . . . . . . . 664--665
John C. Nash Book Review: \booktitleActuarial
Mathematics (Harry H. Panjer) . . . . . 665--667
R. E. O'Malley, Jr. Book Review: \booktitleA First Look at
Perturbation Theory (James G. Simmonds
and James E. Mann, Jr.) . . . . . . . . 667--667
Rainer H. Picard Book Review: \booktitleA Unified Theory
of Nonlinear Operator and Evolution
Equations with Applications. A New
Approach to Nonlinear Partial
Differential Equations (Mieczyslaw
Altman) . . . . . . . . . . . . . . . . 668--670
James Pickands III Book Review: \booktitleStationary
Sequences and Random Fields (Murray
Rosenblatt) . . . . . . . . . . . . . . 670--671
Joseph M. Pimbley Book Review: \booktitleThe Stationary
Semiconductor Device Equations. (Peter
A. Markowich) . . . . . . . . . . . . . 671--673
Tzvi Raz Book Review: \booktitleSystem
Reliability; Evaluation & Prediction in
Engineering (Alain Pages and Michel
Gondran) . . . . . . . . . . . . . . . . 673--674
W. R. Spillers Book Review: \booktitleApplication of
Structural Systems Reliability Theory
(Palls Thoft-Christensen and Yoshisada
Murotsu) . . . . . . . . . . . . . . . . 674--675
J. Michael Steele Book Review: \booktitleNon-Uniform
Random Variate Generation (Luc Devroye) 675--676
Boleslaw K. Szymanski Book Review: \booktitleVerification and
Validation of Real Time Software (W. J.
Quirk, eds.) . . . . . . . . . . . . . . 676--678
Sylvia Wiegand Book Review: \booktitleLinear Systems
Over Commutative Rings (James W. Brewer,
John W. Bunce and F. S. van Vleck) . . . 678--680
Anonymous Other Books Received . . . . . . . . . . 680--688
Anonymous New Members . . . . . . . . . . . . . . 689--694
Anonymous Report of the Treasurer for the Year
Ended December 31, 1986 . . . . . . . . 695--696
J. L. Lions Exact Controllability, Stabilization and
Perturbations for Distributed Systems 1--68
Joel E. Cohen Subadditivity, Generalized Products of
Random Matrices and Operations Research 69--86
Hal L. Smith Systems of Ordinary Differential
Equations Which Generate an Order
Preserving Flow. A Survey of Results . . 87--113
Tom Morley Radial Wave Propagation and
Distortionless Signaling . . . . . . . . 115--118
D. W. Turner and
F. E. Tidmore and
D. M. Young A Calculus Based Approach to the Blood
Testing Problem . . . . . . . . . . . . 119--122
Dennis S. Bernstein Commuting Matrix Exponentials . . . . . 123--123
A. Gerasoulis and
R. P. Srivastav Conjectured Maximum Term of a Sequence 124--124
M. L. Glasser Zero of Least Modulus . . . . . . . . . 124--124
Weijian Zhang A Conditional Expectation . . . . . . . 124--124
M. S. Klamkin Characterizations of Parabolic Motion 125--125
W. Bohm The Attenuated Abel Transform . . . . . 125--128
W. B. Jordan and
Walter Böhm Book Review: \booktitleThe Attenuated
Abel Transform (Moshe Deutsch) . . . . . 125--128
O. G. Ruehr and
George E. Andrews and
Louis W. Kolitsch Book Review: \booktitleA Multinomial
Summation (Donald Richards and Stamatis
Cambanis) . . . . . . . . . . . . . . . 128--130
M. L. Glasser and
N. Grossman A Definite Integral . . . . . . . . . . 130--132
C. L. Mallows Book Review: \booktitleA Generalization
of Student's $t$ Distribution (N. M.
Blachman) . . . . . . . . . . . . . . . 132--133
C. Georghiou and
A. N. Philippou and
S. Papastauridis Asymptotic Reliability of Consecutive
$K$-Out-Of-$N$-$F$ Systems . . . . . . . 133--134
C. Georghiou and
A. N. Philippou Book Review: \booktitleAsymptotic
Reliability of Consecutive $k$-out-of-$
n \colon F $ Systems (A. N. Philippou) 133--134
Jeffrey L. Arthur Book Review: \booktitleMathematical
Topics in Telecommunications. Vol. 1:
Optimisation Methods in Electronics and
Communications (K. W. Cattermole and J.
J. O'Reilly) . . . . . . . . . . . . . . 135--136
J. M. Ball Book Review: \booktitleQualitative
Methods in Nonlinear Mechanics (J.
Tinsley Oden) . . . . . . . . . . . . . 136--137
Tamer Basar Book Review: \booktitleSocial Choice and
Multicriterion Decision-Making (Kenneth
J. Arrow and Herve Raynaud) . . . . . . 137--138
Jacques Bélair Book Review: \booktitleIntrinsic
Geometry of Biological Surface Growth
(Philip H. Todd) . . . . . . . . . . . . 138--139
Charles Blair Book Review: \booktitleStudies in
Complexity Theory (Ronald V. Book,
Ker-I. Ko, Stephen R. Mahaney and
Kenneth Mcaloon, eds.) . . . . . . . . . 139--140
Wolfgang Boehm Book Review: \booktitleProjective
Geometry and Its Applications to
Computer Graphics (Michael A. Penna and
Richard R. Patterson) . . . . . . . . . 140--141
Charles K. Chui Book Review: \booktitleDigital Filters.
Theory and Applications (N. K. Boss) . . 141--141
Donald Greenspan Book Review: \booktitleNumerical
Solutions of the $N$-Body Problem
(Andrzej Marciniak) . . . . . . . . . . 142--142
Ronald B. Guenther Book Review: \booktitleIntroductory
Optimization Dynamics-Optimal Control
with Economics and Management Science
Applications (Pierre N. V. Tu) . . . . . 142--143
Max Gunzburger Book Review: \booktitleFinite Element
Solution of Boundary Value
Problems-Theory and Computation (O.
Axelsson and V. A. Barker) . . . . . . . 143--144
Edward J. Haug Book Review: \booktitleApplied
Functional Analysis and Variational
Methods in Engineering (J. N. Reddy) . . 144--145
Janusz Kowalik Book Review: \booktitleACTORS: a Model
of Concurrent Computation in Distributed
Systems (Gul Agha) . . . . . . . . . . . 146--146
Claude Lemarechal Book Review: \booktitleMethods of
Descent for Nondifferentiable
Optimization (Krzysztof C. Kiwiel) . . . 146--147
Nathan Marcuvitz Book Review: \booktitleWave Propagation:
an Invariant Imbedding Approach (R.
Bellman and R. Vasudevan) . . . . . . . 147--148
H. F. Mattson, Jr. Book Review: \booktitleA First Course in
Coding Theory (Raymond Hill) . . . . . . 148--150
Kevin P. Meade Book Review: \booktitleFinite Difference
Methods in the Dynamics of Continuous
Media (Julian L. Davis) . . . . . . . . 150--150
George Nagy Book Review: \booktitleRobot Vision
(Berthold Klaus Paul Horn) . . . . . . . 150--152
Yoh-Han Pao Book Review: \booktitleStructural
Methods in Pattern Recognition (Laurent
Miclet; J. Howlett, trans.) . . . . . . 152--153
Robert J. Plemmons Book Review: \booktitleMatrix Analysis
(Roger A. Horn and Charles R. Johnson) 153--154
Alwyn Scott Book Review: \booktitleSolitons in
Molecular Systems (A. S. Davydov; Eugene
S. Kryachko, trans.) . . . . . . . . . . 155--156
H. J. Sussmann Book Review: \booktitleNonlinear Systems
Theory (John L. Casti) . . . . . . . . . 156--165
Jeffrey D. Ullman Book Review: \booktitleMathematics of
Information Processing (Michael Anshel
and William Gewirtz, eds.) . . . . . . . 165--168
Bram Van Leer Book Review: \booktitleNumerical Methods
in Fluid Dynamics: Initial and Initial
Boundary-Value Problems (Gary A. Sod) 168--169
Grant V. Welland Book Review: \booktitleThe Hartley
Transform (Ronald N. Bracewell) . . . . 170--170
Earl Glen Whitehead, Jr. Book Review: \booktitleEnumerative
Combinations Volume I (Richard P.
Stanley) . . . . . . . . . . . . . . . . 170--171
Anonymous Other Books Received . . . . . . . . . . 172--181
Anonymous New Members . . . . . . . . . . . . . . 183--191
Anonymous Elected and Appointed Officials . . . . 192--192
R. E. O'Malley, Jr. On Nonlinear Singularly Perturbed
Initial Value Problems . . . . . . . . . 193--212
Tadeusz P\latkowski and
Reinhard Illner Discrete Velocity Models of the
Boltzmann Equation: a Survey on the
Mathematical ASPECTS of the Theory . . . 213--255
V. Ramaswami Nonlinear matrix equations in applied
probability --- solution techniques and
open problems . . . . . . . . . . . . . 256--263
Nozer D. Singpurwalla Foundational Issues in Reliability and
Risk Analysis . . . . . . . . . . . . . 264--282
Gilbert Strang A Framework for Equilibrium Equations 283--297
Don Batman and
M. S. Klamkin Bounds for the Log Mean Radius for Heat
Conduction in a Multilagged Cylindrical
Pipe . . . . . . . . . . . . . . . . . . 298--300
R. P. Kanwal A Differential Geometric Solution of a
Problem in Electrostatics . . . . . . . 301--301
S. Graham Kelly Development of Normal Mode Theory for
Multi-Degree-of-Freedom Systems Using an
Energy Inner Product . . . . . . . . . . 302--304
Dawn Fisher Pressure Potential in Two Dimensions . . 305--307
Z. Ikonic and
V. Milanovic Exact Solutions of a Differential
Equation . . . . . . . . . . . . . . . . 308--308
John S. Lew Shape of a Roller-Coaster Track . . . . 308--308
Thomas L. Morgan Six Combinatorial Identities . . . . . . 308--309
Seung-Jin Bang An $n$-Space Integral . . . . . . . . . 309--309
G. A. Shah Volume of Intersection of a Cone with a
Sphere . . . . . . . . . . . . . . . . . 310--311
M. Orlowski and
M. Pachter Book Review: \booktitleMaximal Stability
(David Singmaster) . . . . . . . . . . . 311--314
R. J. Evans The Entropy of a Poisson Distribution 314--315
Ronald J. Evans and
J. Boersma Book Review: \booktitleThe Entropy of a
Poisson Distribution (C. Robert
Appledorn) . . . . . . . . . . . . . . . 314--317
J. Boersma The Entropy of a Poisson Distribution 315--317
P. Smith The Entropy of a Poisson Distribution 317--317
M. L. Glasser An Identity . . . . . . . . . . . . . . 317--318
M. L. Glasser and
Lj. Damjanovr Book Review: \booktitleAn Identity (John
W. Moon) . . . . . . . . . . . . . . . . 317--319
S. L. Damjanovic An Identity . . . . . . . . . . . . . . 318--319
C. Georghiou and
C. A. Libis and
O. P. Lossers and
R. E. Shafer and
J. A. Wilson An Identity . . . . . . . . . . . . . . 319--319
Seung-Jin Bang Book Review: \booktitleOn the Error in
Padé Approximation (Edward J. Allen) . . 319--320
S. J. Bang On the Error in Padé Approximation . . . 319--320
Michael. E. Fisher Book Review: \booktitleDouble Summations
(Danny Summers) . . . . . . . . . . . . 320--322
M. E. Fisher Double Summations . . . . . . . . . . . 320--322
W. B. Jordan Double Summations . . . . . . . . . . . 322--322
Johann Baumeister Book Review: \booktitleStability of
Adaptive Systems: Passivity and
Averaging Analysis (B. D. O. Anderson,
R. R. Bitmead, C. R. Johnson, Jr., P. Y.
Kokotovic, R. L. Kosut, I. M. V.
Mareels, L. Praly and B. D. Riedle) . . 323--324
S. R. Bernfeld Book Review: \booktitleDynamics of
Hierarchical Systems: an Evolutionary
Approach (J. S. Nicolis) . . . . . . . . 324--325
Charles Blair Book Review: \booktitleTheory of Linear
and Integer Programming (Alexander
Schrijver) . . . . . . . . . . . . . . . 325--326
C. Calmelet Eluhu Book Review: \booktitleTheory of
Hydromagnetic Stability (Bhimsen K.
Shivamoggi) . . . . . . . . . . . . . . 326--327
J. A. Fejer Book Review: \booktitleThe Propagation
of Radio Waves: The Theory of Radio
Waves of Low Power in the Ionosphere and
Magnetosphere (K. G. Budden) . . . . . . 327--327
Andreas Griewank Book Review: \booktitleNumerical
Derivatives and Nonlinear Analysis
(Harriet Kagiwada, Robert Kalaba, Nima
Rosakhoo, and Karl Spingarn) . . . . . . 327--329
Bruno Gruber Book Review: \booktitleLie Groups and
Algebras with Applications to Physics,
Geometry, and Mechanics (D. H. Sattinger
and O. L. Weaver) . . . . . . . . . . . 329--330
Horst W. Hamacher Book Review: \booktitleMinimal Cost Flow
in Processing Networks, A Primal
Approach (J. Koene) . . . . . . . . . . 330--331
Eugene Isaacson Book Review: \booktitleNumerical
Recipes: The Art of Scientific Computing
(William H. Press, Brian P. Flannery,
Saul A. Teukolsky, and William T.
Vetterling) . . . . . . . . . . . . . . 331--332
James Keesling Book Review: \booktitlePositive Feedback
in Natural Systems (Donald L. DeAngelis,
Wilfred M. Post, and Curtis C. Travis) 332--335
Pramod P. Khargonekar Book Review: \booktitleA Course in
$H$-Subinfinity Control Theory (Bruce A.
Francis) . . . . . . . . . . . . . . . . 335--336
Sukeyuki Kumei Book Review: \booktitleApplications of
Lie Groups to Differential Equations
(Peter J. Olver) . . . . . . . . . . . . 336--337
Andy Liu Book Review: \booktitleApplied
Combinatorics. Second Edition (Alan
Tucker) . . . . . . . . . . . . . . . . 337--339
David S. Malkus Book Review: \booktitleThe Finite
Element Method and Its Applications
(Masatake Mori) . . . . . . . . . . . . 339--340
Nimrod Megiddo Book Review: \booktitleTree Network and
Planar Rectilinear Location Theory (A.
J. W. Kolen) . . . . . . . . . . . . . . 340--341
Richard E. Mortensen Book Review: \booktitleOptimal
Estimation: With An Introduction to
Stochastic Control Theory (Frank L.
Lewis) . . . . . . . . . . . . . . . . . 341--343
Zane C. Motteler Book Review: \booktitleComplex Variables
(Stephen D. Fisher) . . . . . . . . . . 343--344
Robert E. O'Malley, Jr. Book Review: \booktitleAsymptotic
Methods for Relaxation Oscillations and
Applications (Johan Grasman) . . . . . . 344--345
Thomas A. Porsching Book Review: \booktitleNumerical Methods
in Fluid Dynamics-Como, 1983 (F. Brezzi,
ed.) . . . . . . . . . . . . . . . . . . 345--346
Howard E. Reinhardt Book Review: \booktitleProbability and
Statistical Inference (J. G.
Kalbfleisch) . . . . . . . . . . . . . . 347--347
Dennis H. Rouvray Book Review: \booktitleMathematical
Concepts in Organic Chemistry (Ivan
Gutman and Oskar E. Polansky) . . . . . 348--350
Donald G. Saari Book Review: \booktitleFair Allocation
(H. Peyton Young) . . . . . . . . . . . 350--352
Raymond Sedney Book Review: \booktitleNonlinear Conical
Flow (B. M. Bulakh) . . . . . . . . . . 352--353
Frank Stenger Book Review: \booktitleComputational
Complexity (K. Wagner and G. Wechsung) 353--354
Calvin H. Wilcox Book Review: \booktitleInitial Boundary
Value Problems in Mathematical Physics
(R. Leis) . . . . . . . . . . . . . . . 354--355
Anonymous Other Books Received . . . . . . . . . . 355--368
Anonymous New Members . . . . . . . . . . . . . . 369--373
Moody T. Chu On the Continuous Realization of
Iterative Processes . . . . . . . . . . 375--387
Edward W. Packel Do Linear Problems Have Linear Optimal
Algorithms? . . . . . . . . . . . . . . 388--403
R. L. Eubank Optimal Grouping, Spacing,
Stratification, and Piecewise Constant
Approximation . . . . . . . . . . . . . 404--420
Bradley Efron Computer-Intensive Methods in
Statistical Regression . . . . . . . . . 421--449
Fritz Schwarz Symmetries of Differential Equations:
From Sophus Lie to Computer Algebra . . 450--481
R. M. Burton, Jr. and
K. Ravishankar and
E. D. Palmes Convergence to Steady State in a
Diffusional Sampler . . . . . . . . . . 482--486
Eyad H. Abed A Simple Proof of Stability on the
Center Manifold for Hopf Bifurcation . . 487--491
Dan M. Scott and
Gary J. Sherman The Great Shootout . . . . . . . . . . . 492--497
James S. Wolper (Celestial) Navigation on a Riemannian
Earth . . . . . . . . . . . . . . . . . 498--501
C. C. Grosjean A Generalized Hypergeometric-Type
Identity . . . . . . . . . . . . . . . . 502--502
Wojciech Szatzschneider An Inequality . . . . . . . . . . . . . 502--503
M. L. Glasser A Laplace Transform . . . . . . . . . . 503--503
Norbert Ortner and
Peter Wagner Reducing a Double Integral . . . . . . . 503--504
M. S. Klamkin An Inverse Potential Problem . . . . . . 504--504
W. B. Jordan Book Review: \booktitleMonotonicity of
Bessel Functions (S. W. Rienstra) . . . 504--506
W. B. Jordan and
J. A. Cochran Monotonicity of Bessel Functions . . . . 504--506
M. L. Glasser Book Review: \booktitleA Nonnegative
Integral (J. Gevirtz and O. G. Ruehr) 506--507
M. L. Glasser and
J. Gevirtz and
O. G. Ruehr and
C. C. Grosjean and
W. B. Jordan A Nonnegative Integral . . . . . . . . . 506--507
Steven C. Pinault Book Review: \booktitleSafe Car
Following (Vincent Salmon) . . . . . . . 507--508
S. C. Pinault and
R. W. Gatterdam and
J. A. Heminger and
S. L. Paverifontana and
W. B. Jordan Safe Care Following . . . . . . . . . . 507--508
M. S. Klamkin Book Review: \booktitleAn Optimum
Multistage Rocket Design (M. S. Klamkin) 508--509
M. S. Klamkin and
F. Dubeau and
W. B. Jordan and
W. W. Meyer An Optimum Multistage Rocket Design . . 508--509
W. F. Ames Book Review: \booktitleNonlinear
Diffusive Waves (P. L. Sachdev) . . . . 510--510
Charles Blair Book Review: \booktitleThe Simplex
Method: a Probabilistic Analysis (Karl
Heinz Borgwardt) . . . . . . . . . . . . 510--511
G. R. Blakley Book Review: \booktitlePrimality and
Cryptography (Evangelos Kranakis) . . . 511--512
W. H. Fleming Book Review: \booktitleA Stochastic
Maximum Principle for Optimal Control of
Diffusions (U. G. Haussmann) . . . . . . 512--512
Juan A. Gatica Book Review: \booktitleOrdinary
Differential Equations: Introduction to
the Theory of Ordinary Differential
Equations in the Real Domain (Jaroslav
Kurzweil) . . . . . . . . . . . . . . . 512--513
Peter Guttorp Book Review: \booktitleSeries of
Irregular Observations: Forecasting and
Model Building (Robert Azencott and
Didier Dacunha-Castelle) . . . . . . . . 513--514
Daniel P. Heyman Book Review: \booktitlePoint Processes
and Their Statistical Inference (Alan F.
Karr) . . . . . . . . . . . . . . . . . 514--515
James P. Keener Book Review: \booktitlePerturbation
Methods, Bifurcation Theory and Computer
Algebra (Richard H. Rand and Dieter
Armbruster) . . . . . . . . . . . . . . 516--517
R. B. Kellogg Book Review: \booktitleThe Shallow Water
Wave Equations: Formulation, Analysis
and Application (I. Kinnmark) . . . . . 517--518
Robert V. Kohn Book Review: \booktitleDesign
Sensitivity Analysis of Structural
Systems (Edward J. Haug, Kyung K. Choi,
and Vadim Komkov) . . . . . . . . . . . 518--519
Jan Mandel Book Review: \booktitleMulti-Grid
Methods and Applications (Wolfgang
Hackbusch) . . . . . . . . . . . . . . . 519--520
Marialuisa N. McAllister Book Review: \booktitleFuzzy Sets,
Uncertainty, and Information (George J.
Klir and Tina A. Folger) . . . . . . . . 520--522
Kenneth R. Meyer Book Review: \booktitleThe Hamiltonian
Hopf Bifurcation (Jan-Cees van der Meer) 522--523
Alan Mironer Book Review: \booktitleAn Informal
Introduction to Theoretical Fluid
Mechanics (James Lighthill) . . . . . . 523--524
S. Morgenthaler Book Review: \booktitleMathematical
Nonparametric Statistics (Edward B.
Manoukian) . . . . . . . . . . . . . . . 524--525
Etienne Pardoux Book Review: \booktitleMarkov Processes:
Characterization and Convergence
(Stewart N. Ethier and Thomas G. Kurtz) 525--526
Henry Stark Book Review: \booktitleImage
Processing-Continuous to Discrete,
Volume 1: Geometric, Transform, and
Statistical Methods (Edward R. Dougherty
and Charles R. Giardina) . . . . . . . . 526--527
W. D. Wallis Book Review: \booktitlePreference
Modelling (Marc Roubens and Philippe
Vincke) . . . . . . . . . . . . . . . . 527--528
Pei-Zhuang Wang and
Xian-Tu Peng Book Review: \booktitleFuzzy
Mathematical Techniques with
Applications (Abraham Kandel) . . . . . 528--530
Alan Weinstein Book Review: \booktitleManifolds and
Mechanics (Arthur Jones, Alistair Gray,
and Robert Hutton) . . . . . . . . . . . 530--530
Jet Wimp Book Review: \booktitlePi and the AGM: a
Study in Analytic Number Theory and
Computational Complexity (Jonathan M.
Borwein and Peter B. Borwein) . . . . . 530--533
Teivo Pentikäinen Author's comment . . . . . . . . . . . . 533--536
Anonymous Other Books Received . . . . . . . . . . 536--546
Anonymous New Members . . . . . . . . . . . . . . 547--550
Joseph Hersch Book Review: \booktitleIsoperimetric
Monotonicity: Some Properties and
Conjectures (Connections between
Isoperimetric Inequalities) . . . . . . 551--577
Peter C. Fishburn Combinatorial Optimization Problems for
Systems of Subsets . . . . . . . . . . . 578--588
J. M. Borwein and
P. B. Borwein On the Complexity of Familiar Functions
and Numbers . . . . . . . . . . . . . . 589--601
Y. L. Tong Some Majorization Inequalities in
Multivariate Statistical Analysis . . . 602--622
D. A. Smith Correction . . . . . . . . . . . . . . . 623--624
David A. Smith and
William F. Ford and
Avram Sidi Correction to: ``Extrapolation methods
for vector sequences'' . . . . . . . . . 623--624
Albert J. DeSanti A Model for Predicting Aircraft Altitude
Loss in a Pull-Up from a Dive . . . . . 625--628
Ronald E. Mickens Exact Solutions to a Population Model:
The Logistic Equation with Advection . . 629--633
S. Graham Kelly Natural Frequency and Mode Shape
Perturbations for Linear Multidegree of
Freedom Systems . . . . . . . . . . . . 634--638
Mark Levi Stability of the inverted pendulum --- a
topological explanation . . . . . . . . 639--644
J. G. Kingston One-Way Waves . . . . . . . . . . . . . 645--649
M. Pachter Birthday Candles Blowout Problem . . . . 650--650
Y. Hua and
T. K. Sarkar Conditions for Maximizing and Minimizing
Diagonal Elements of a Hermitian Matrix 650--651
A. A. Jagers A Probability Generating Function . . . 651--652
A. Ronveaux and
J. P. Palamin and
P. Palamin Double Sum of Bessel Functions in
Computer Music . . . . . . . . . . . . . 652--652
O. G. Ruehr and
W. R. Young An Inverse Laplace Transform . . . . . . 652--652
J. Kautsky Book Review: \booktitleA Column Vector
Problem From Numerical Integration (M.
M. Chawla) . . . . . . . . . . . . . . . 653--655
A. A. Jagers and
T. Kauffman Bounds for Nonlinear Heat Conduction . . 655--657
A. A. Jagers Book Review: \booktitleBounds for
Nonlinear Heat Conduction (A. A. Jagers) 655--657
W. B. Jordan and
J. Case Bounded Polynomials with a Prescribed
Behavior at the Origin . . . . . . . . . 657--659
W. B. Jordan Book Review: \booktitleBounded
Polynomials with a Prescribed Behavior
at the Origin (M. M. Chawla) . . . . . . 657--659
A. A. Jagers Book Review: \booktitleA Definite
Integral of Bessel Functions (M. L.
Glasser) . . . . . . . . . . . . . . . . 659--660
A. A. Jagers and
N. Grossman and
A. Adams and
O. G. Ruehr and
O. P. Lossers A Definite Integral of Bessel Functions 659--660
Nathaniel Grossman Book Review: \booktitleA Definite
Integral from Surface Gravity Waves (M.
Stiassnie) . . . . . . . . . . . . . . . 660--661
N. Grossman and
M. Ashbaugh and
W. Bohm and
D. R. Breach and
J. Case and
C. Qun and
C. Georghiou and
M. L. Glasser and
J. A. Grzesik and
E. Harrell and
R. N. Hill and
W. B. Jordan and
H. K. Kuiken and
K. W. Lau and
O. P. Lossers and
M. Renardy and
R. Richberg and
O. G. Ruehr and
P. Smith and
J. E. Wilkins A Definite Integral from Surface Gravity
Waves . . . . . . . . . . . . . . . . . 660--661
Walter Böhm Book Review: \booktitleThree Convolution
Integrals (F. Kuchuk) . . . . . . . . . 661--662
W. Bohm 3 Convolution Integrals . . . . . . . . 661--662
Erik J. Balder Book Review: \booktitleControl and
Optimisation: The Linear Treatment of
Nonlinear Problems (J. E. Rubio) . . . . 663--663
Charles Blair Book Review: \booktitleProbabilistic
Analysis of Algorithms: On Computing
Methodologies for Computer Algorithms
Performance Evaluation (Micha Hofri) . . 663--664
G. R. Blakley Book Review: \booktitleTwo Issues in
Public Key Cryptography: RSA Bit
Security and a New Knapsack Type System
(Ben-Zion Chor) . . . . . . . . . . . . 664--665
R. P. Boas Book Review: \booktitleFourier Analysis
(T. W. Körner) . . . . . . . . . . . . . 665--666
John P. Boyd Book Review: \booktitleSpectral Methods
in Fluid Dynamics (C. Canuto, M. Y.
Hussaini, A. Quarteroni, and T. A. Zang) 666--668
C. M. Elliott Book Review: \booktitleFree and Moving
Boundary Problems (John Crank) . . . . . 668--669
Wm. Randolph Franklin Book Review: \booktitleComputational
Geometry: an Introduction (Franco P.
Preparata and Michael Ian Shamos) . . . 669--670
Gerhard Hübner Book Review: \booktitleMarkovian Control
Problems: Functional Equations and
Algorithms (A. Federgruen) . . . . . . . 670--671
Charles R. Johnson Book Review: \booktitleInvariant
Subspaces of Matrices with Applications
(I. Gohberg, P. Lancaster, and L.
Rodman) . . . . . . . . . . . . . . . . 671--672
Howard A. Levine Book Review: \booktitlePartial
Differential Equations: an Introduction
to a General Theory of Linear Boundary
Value Problems (Aleksei A. Dezin; Ralph
P. Boas, trans.) . . . . . . . . . . . . 672--673
Marc Mangel Book Review: \booktitleSingular
Perturbation Methods in Control:
Analysis and Design (Petar Kokotovic,
Hassan K. Khalil, and John O'Reilly) . . 674--675
Kevin P. Meade Book Review: \booktitleDifference
Equations (Ronald E. Mickens) . . . . . 675--675
Edward W. Packel Book Review: \booktitleTeam Theory (K.
H. Kim and F. W. Roush) . . . . . . . . 676--677
Werner C. Rheinboldt Book Review: \booktitleLectures on
Numerical Methods in Bifurcation
Problems (Herbert B. Kelley) . . . . . . 677--677
Jean-François Richard Book Review: \booktitleBayesian Full
Information Analysis of Simultaneous
Equation Models Using Integration by
Monte Carlo (Luc Bauwens) . . . . . . . 677--679
Lee A. Segel Book Review: \booktitleMathematical
Models in Biology (Leah
Edelstein-Keshet) . . . . . . . . . . . 679--680
Herbert Spohn Book Review: \booktitleIntroduction to
Modern Statistical Mechanics (David
Chandler) . . . . . . . . . . . . . . . 680--680
John L. Casti Author's comment . . . . . . . . . . . . 680--683
Anonymous Other Books Received . . . . . . . . . . 683--690
Anonymous New Members . . . . . . . . . . . . . . 691--693
Anonymous Report of the Treasurer for the Year
Ended December 31, 1987 . . . . . . . . 694--695
Alan George and
Joseph W. H. Liu The Evolution of the Minimum Degree
Ordering Algorithm . . . . . . . . . . . 1--19
Tony F. Chan and
Howard C. Elman Fourier Analysis of Iterative Methods
for Elliptic Problems . . . . . . . . . 20--49
Gene H. Golub and
Dianne P. O'Leary Some History of the Conjugate Gradient
and Lanczos Algorithms: 1948--1976 . . . 50--102
Firdaus E. Udwadia Some Results on Maximum Entropy
Distributions for Parameters Known to
Lie in Finite Intervals . . . . . . . . 103--109
Young J. Kim and
Joan L. Aron On the Equality of Average Age and
Average Expectation of Remaining Life in
a Stationary Population . . . . . . . . 110--113
G. J. Manas and
D. H. Meyer On a Problem of Coin Identification . . 114--117
Anonymous Biography . . . . . . . . . . . . . . . 118--119
E. L. Wachspress An Elliptic Function Identity . . . . . 119--119
M. L. Glasser On the Principal Value of a Quadruple
Integral . . . . . . . . . . . . . . . . 119--120
O. G. Ruehr Asymptotic Behavior of a Melting
Interface . . . . . . . . . . . . . . . 120--120
W. Hulsbergen Eigenvalues and Eigenvectors of a
Combinatorial Matrix . . . . . . . . . . 120--121
V. Hnizdo Radiation From a System of Uniformly
Circling Charges . . . . . . . . . . . . 121--122
Anonymous A Multinomial Summation . . . . . . . . 122--125
Bruce Richmond and
Cecil Rousseau Book Review: \booktitleA Multinomial
Summation (Donald Richards and Stamatis
Cambanis) . . . . . . . . . . . . . . . 122--125
Edgar M. E. Wermuth Book Review: \booktitleCommuting Matrix
Exponentials (Dennis S. Bernstein) . . . 125--126
E. M. E. Wermuth and
J. Brenner and
F. S. Leite and
J. F. Queiro Commuting Matrix Exponentials . . . . . 125--126
Michael Renardy Book Review: \booktitleZero of Least
Modulus (M. L. Glasser) . . . . . . . . 126--127
M. Renardy and
W. B. Jordan Zero of Least Modulus . . . . . . . . . 126--127
W. B. Jordan Book Review: \booktitleConjectured
Maximum Term of a Sequence (A.
Gerasoulis and R. P. Srivastav) . . . . 127--129
Frank Mathis Book Review: \booktitleCharacterizations
of Parabolic Motion (M. S. Klamkin) . . 129--131
F. Mathis and
S. Sivakumar Characterizations of Parabolic Motion 129--131
Frederick J. Beutler Book Review: \booktitleDynamic
Programming: Deterministic and
Stochastic Models (Dimitri P. Bertsekas) 132--133
Philip J. Davis Book Review: \booktitlePerturbation
Bounds for Matrix Eigenvalues (Rajendra
Bhatia) . . . . . . . . . . . . . . . . 133--133
G. B. Ermentrout Book Review: \booktitleAutowave
Processes in Kinetic Systems: Spatial
and Temporal Self-Organization in
Physics, Chemistry, Biology, and
Medicine (V. A. Vasiliev, Yu. M.
Romanovskii, D. S. Chernavskii, and V.
G. Yakhno) . . . . . . . . . . . . . . . 133--136
Bruce Geist Book Review: \booktitleFunctional
Analysis and Boundary-Value Problems: an
Introductory Treatment (B. Dayanand
Reddy) . . . . . . . . . . . . . . . . . 136--137
Raymond N. Greenwell Book Review: \booktitleEmpirical
Model-Building and Response Surfaces
(George E. P. Box and Norman R. Draper) 137--139
Cornelius O. Horgan Book Review: \booktitleSaint-Venant's
Problem (Dorin lesan) . . . . . . . . . 139--141
John W. Hutchinson Book Review: \booktitleApplied
Elasticity: Matrix and Tensor Analysis
of Elastic Continua (J. D. Renton) . . . 141--142
Eugene Isaacson Book Review: \booktitleNumerical Recipes
in C: The Art of Scientific Computing
(William H. Press, Brian P. Flannery,
Saul A. Teukolsky, and William T.
Vetterling); Numerical Recipes: Example
Book (C) (William T. Vetterling, Saul A.
Teukolsky, William H. Press, and Brian
P. Flannery) . . . . . . . . . . . . . . 142--142
Palls E. Jorgensen Book Review: \booktitleGroup Structure
of Gauge Theories (L. O'Raifeartaigh) 142--144
Hüseyin Koçak Book Review: \booktitleDeterministic
Chaos: an Introduction; Second revised
Revised Edition (Heinz Georg Schuster) 144--145
Glenn K. Manacher Book Review: \booktitleAlgorithmic Graph
Theory (Alan Gibbons) . . . . . . . . . 145--147
Stephen J. Merrill Stochastic Differential Systems:
Analysis and Filtering . . . . . . . . . 147--147
Gray H. Meisters Book Review: \booktitleGlobal Stability
of Dynamical Systems (Michael Shub with
the collaboration of Albert Fathi and
Remi Langevin; Joseph Christy, trans.) 147--151
John G. Milton Book Review: \booktitleBiograph: a
Graphical Computer Simulation Package
with Exercises to Accompany Lee A.
Segel's Modeling Dynamic Phenomena in
Molecular Cellular Biology (Garrett M.
Odell and Lee A. Segel) . . . . . . . . 151--153
R. E. Mortensen Book Review: \booktitleStochastic
Optimal Control: Theory and Application
(Robert F. Stengel) . . . . . . . . . . 153--154
J. K. Percus Book Review: \booktitleSystems in
Stochastic Equilibrium (Peter Whittle) 154--155
Sidny Port Book Review: \booktitleIntroduction to
Random Processes (Yurii A. Rozanov) . . 155--155
Hartmut Prautzsch Book Review: \booktitleCurve and Surface
Fitting: an Introduction (Peter
Lancaster and Kestutis Salkauskas) . . . 155--157
Richard H. Rand Book Review: \booktitleManifolds and
Mechanics (Arthur Jones, Alistair Gray,
and Robert Hutton) . . . . . . . . . . . 157--158
Ronald G. Rehm Book Review: \booktitleBuoyancy-Induced
Flows and Transport (Benjamin Gebhart,
Yogesh Jaluria, Roop L. Mahajan, and
Bahgat Sammakia) . . . . . . . . . . . . 158--159
Howard E. Reinhardt Book Review: \booktitleIntroduction to
Statistical Inference (Jack Carl Kiefer;
Gary Lorden, ed.) . . . . . . . . . . . 159--160
Robert L. Schiffman Book Review: \booktitleThe Finite
Element Method in the Deformation and
Consolidation of Porous Media (Roland W.
Lewis and Bernard A. Schrefler) . . . . 160--161
James G. Simmonds Book Review: \booktitleShell Theory:
General Methods of Construction (I. N.
Vekua; Ts. Gabeskiria, trans.) . . . . . 161--164
Michael E. Taylor Book Review: \booktitleScattering by
Obstacles ( A. G. Ramm) . . . . . . . . 164--168
A. Murat Tekalp Book Review: \booktitleImage Recovery:
Theory and Application (Henry Stark,
ed.) . . . . . . . . . . . . . . . . . . 168--170
B. H. Tongue Book Review: \booktitleCell-to-Cell
Mapping: a Method of Global Analysis for
Nonlinear Systems (C. S. Hsu) . . . . . 170--171
Grant V. Welland Book Review: \booktitle$Z$ Transform
Theory and Applications (Robert Vich) 171--172
Anonymous Other Books Received . . . . . . . . . . 172--184
Anonymous New members . . . . . . . . . . . . . . 185--189
Anonymous Elected and Appointed Official . . . . . 190--190
Andrew Stuart Nonlinear Instability in Dissipative
Finite Difference Schemes . . . . . . . 191--220
William W. Hager Updating the Inverse of a Matrix . . . . 221--239
Carl D. Meyer Stochastic Complementation, Uncoupling
Markov Chains, and the Theory of Nearly
Reducible Systems . . . . . . . . . . . 240--272
F. Keinert Inversion of Kappa-Plane Transforms and
Applications in Computer Tomography . . 273--298
Fritz Keinert Inversion of $k$-Plane Transforms and
Applications in Computer Tomography . . 273--298
S. Pennell and
J. Deignan Computing the Projected Area of a Cone 299--302
Patrice Marcotte To Serve or not to Serve --- a Badminton
Dilemma . . . . . . . . . . . . . . . . 303--305
Frank Mathis The Effect of Fatigue on Running
Strategies . . . . . . . . . . . . . . . 306--309
Vagn Lundsgaard Hansen Minima for Elastics on Rigid Cylinders 310--317
Leopold Flatto and
Larry Shepp Problem of the Nile . . . . . . . . . . 318--318
Andrew N. Norris A Lagrangian Inequality . . . . . . . . 318--319
Peter Senn An Average Maximum Distance . . . . . . 319--319
Barry D. Ganapol Photon Transport in Plant Canopies . . . 319--320
Murray S. Klamkin Three Particles Moving on a Circle . . . 320--320
Lawrence E. Flynn Book Review: \booktitleShape of a
Roller-Coaster Track (John S. Lew) . . . 320--324
L. E. Flynn Shape of a Roller-Coaster Track . . . . 320--324
Z. Ikonic and
V. Milanovic Exact solutions of a differential
equation . . . . . . . . . . . . . . . . 324--325
John S. Lew and
C. C. Grosjean Book Review: \booktitleExact Solutions
of a Differential Equation (Z. Ikoni\'c
and V. Milanovi\'c) . . . . . . . . . . 324--325
J. S. Lew Exact-Solutions of a
Differential-Equation . . . . . . . . . 324--325
Thomas L. Morgan Six Combinatorial Identities . . . . . . 325--328
T. L. Morgan 6 Combinatorial Identities . . . . . . . 326--328
M. L. Glasser Book Review: \booktitleAn $n$-Space
Integral (Seung-Jin Bang) . . . . . . . 328--329
M. L. Glasser and
C. C. Grosjean An $N$-Space Integral . . . . . . . . . 329--329
Hassan Aref Book Review: \booktitleChaotic
Vibrations: an Introduction for Applied
Scientists and Engineers (Francis C.
Moon) . . . . . . . . . . . . . . . . . 330--331
Johann Baumeister Book Review: \booktitleOptimal Control
(Frank L. Lewis) . . . . . . . . . . . . 331--332
Charles Blair Book Review: \booktitleGeometric
Algorithms and Combinatorial
Optimization (Martin Grotschel, Laszló
Lovász, and Alexander Schrijver) . . . . 332--333
Charles Blair Book Review: \booktitleLinear
Complementarily, Linear and Nonlinear
Programming (K. G. Murty) . . . . . . . 333--334
Anthony M. Bloch Book Review: \booktitleVariational and
Hamiltonian Control Systems (P. E.
Crouch and A. J. van der Schaft) . . . . 334--336
H. K. Cheng Book Review: \booktitleTransonic
Aerodynamics (J. D. Cole and L. P. Cook) 336--338
C. M. Dafermos Book Review: \booktitleMathematical
Problems in Viscoelasticity (Michael
Renardy, William J. Hrusa, and John A.
Nobel) . . . . . . . . . . . . . . . . . 338--339
W. A. Day Book Review: \booktitleBoundary Value
Problems in Linear Viscoelasticity (J.
M. Golden and G. A. C. Graham) . . . . . 339--339
J. R. Dorfman Book Review: \booktitleThe Boltzmann
Equation and Its Applications (Carlo
Cercignani) . . . . . . . . . . . . . . 339--340
Donald Drew Book Review: \booktitleLearning the Art
of Mathematical Modelling (Cross and A.
O. Moscardini); Concepts of Mathematical
Modeling (Walter J. Meyer) . . . . . . . 340--341
Robert W. Easton Book Review: \booktitleLinear Dynamical
Systems. A Revised Edition of
``Dynamical Systems and Their
Applications: Linear Theory'' (John L.
Casti) . . . . . . . . . . . . . . . . . 341--342
Wm. Randolph Franklin Book Review: \booktitleArt Gallery
Theorems and Algorithms (Joseph
O'Rourke) . . . . . . . . . . . . . . . 342--343
D. Greenspan and
B. F. Bowman Book Review: \booktitleNumerical
Algorithms (J. L. Mohamed and J. Walsh,
eds.) . . . . . . . . . . . . . . . . . 343--344
Ronald B. Guenther Book Review: \booktitleDifferential
Geometry, Gauge Theories, and Gravity
(M. Gockeler and T. Schucker) . . . . . 344--344
Mark H. Holmes Book Review: \booktitleMechanoreceptors,
Their Functional Organization (G. N.
Akoev, N. P. Alekseev, and B. V. Krylov) 344--346
Mark H. Holmes Book Review: \booktitleThe Mechanics of
Vibrations of Cylindrical Shells (Stefan
Markus) . . . . . . . . . . . . . . . . 346--347
Robert McNaughton Book Review: \booktitleVarieties of
Formal Languages (J. E. Pin; A. Howie,
trans.) . . . . . . . . . . . . . . . . 347--348
Robert McNaughton Book Review: \booktitleIntroduction to
Formal Languages (G. E. Revesz) . . . . 348--348
William E. Strawderman Book Review: \booktitleStatistical
Analysis with Missing Data (Roderick J.
A. Little and Donald B. Rubin) . . . . . 348--349
John D. Spurrier Book Review: \booktitleMultiple
Comparison Procedures (Yosef Hochberg
and Ajit C. Tamhane) . . . . . . . . . . 349--350
Anonymous Other Books Received . . . . . . . . . . 350--359
Anonymous New Members . . . . . . . . . . . . . . 360--364
L. Thomas Ramsey Best Bounds for the Stability of DARMA
Filters with Constant Coefficients . . . 365--400
Y. S. Choi and
Andrew Majda Amplification of Small-Amplitude
High-Frequency Waves in a Reactive
Mixture . . . . . . . . . . . . . . . . 401--427
Walter W. Piegorsch and
George Casella The Early Use of Matrix Diagonal
Increments in Statistical Problems . . . 428--434
R. E. Meyer A Simple Explanation of the Stokes
Phenomenon . . . . . . . . . . . . . . . 435--445
Lee A. Segel and
Marshall Slemrod The Quasi-Steady-State Assumption: a
Case Study in Perturbation . . . . . . . 446--477
Raymond A. Adomaitis Kites and Bifurcation Theory . . . . . . 478--483
S. Richardson An Identity Arising in a Problem of
Conformal Mapping . . . . . . . . . . . 484--485
J. A. Grzesik Von Neumann's Rejection Technique
Reexamined . . . . . . . . . . . . . . . 486--489
Yves Nievergelt The Mathematics of a Home-Made Parabolic
Reflector . . . . . . . . . . . . . . . 490--492
K. V. Lever The Complexity of the Standard Form of
an Integer . . . . . . . . . . . . . . . 493--494
J. S. Dehesa Upper Bounds for Frequency Moments . . . 494--495
M. L. Glasser Asymptotic Behavior of a Definite
Integral . . . . . . . . . . . . . . . . 495--495
R. E. Shafer Numerical Evaluation of a Slowly
Convergent Series . . . . . . . . . . . 495--495
W. H. Steeb and
C. M. Villet A Conjectured Matrix Inequality . . . . 495--495
O. P. Lossers Book Review: \booktitleA Generalized
Hypergeometric-Type Identity (C. C.
Grosjean) . . . . . . . . . . . . . . . 496--497
Norbert Ortner and
Peter Wagner Book Review: \booktitleA Laplace
Transform (M. L. Glasser) . . . . . . . 497--498
N. Ortner and
P. Wagner A Laplace Transform . . . . . . . . . . 497--498
George A. Barnard Book Review: \booktitleThe History of
Statistics: The Measurement of
Uncertainty Before 1900 (Stephen M.
Stigler) . . . . . . . . . . . . . . . . 499--502
Charles K. Chui Book Review: \booktitleSystems Analysis
by Graphs and Matroids: Structural
Solvability and Controllability (Kazuo
Murota) . . . . . . . . . . . . . . . . 502--503
Thomas F. Coleman and
Earl Zmijewski Book Review: \booktitleDirect Methods
for Sparse Matrices (I. S. Duff, A. M.
Erisman, and J. K Reid) . . . . . . . . 503--504
Fritz Colonius Book Review: \booktitleViscosity
Solutions and Optimal Control (Robert J.
Elliott) . . . . . . . . . . . . . . . . 505--505
L. Pamela Cook Book Review: \booktitleMathematics for
Dynamic Modeling (Edward Beltrami) . . . 505--506
George A. Hagedorn Book Review: \booktitleQuantum
Scattering and Spectral Theory (D. B.
Pearson) . . . . . . . . . . . . . . . . 506--506
Daniel P. Heyman Book Review: \booktitleTraffic Processes
in Queueing Networks: a Markov Renewal
Approach (Ralph L. Disney and Peter C.
Kiessler) . . . . . . . . . . . . . . . 506--507
Nicholas D. Kazarinoff Book Review: \booktitleA Primer of
Diffusion Problems (Richard Ghez) . . . 508--508
Jeffrey C. Lagarias Book Review: \booktitleA Course in
Number Theory and Cryptography (Neil
Koblitz) . . . . . . . . . . . . . . . . 508--510
Kenneth R. Meyer Book Review: \booktitleDynamical Systems
III (V. I. Arnold, ed.) . . . . . . . . 510--510
Parviz Moin Book Review: \booktitleTurbulence in
Fluids: Stochastic and Numerical
Modelling (M. Lesieur); Turbulence and
Random Processes in Fluid Mechanics (M.
T. Landahl and E. Mollo-Christensen) . . 510--512
J. Tinsley Oden Book Review: \booktitleAn Introduction
to the Finite Element Method with
Applications to Nonlinear Problems (R.
E. White) . . . . . . . . . . . . . . . 512--512
J. N. Reddy Book Review: \booktitleHamilton's
Principle in Continuum Mechanics (A.
Bedford) . . . . . . . . . . . . . . . . 512--513
Steven Shaw Book Review: \booktitleVibrations in
Mechanical Systems: Analytical Methods
and Applications (Maurice Roseau) . . . 513--514
B. D. Sleeman Book Review: \booktitleApplied Analysis
(Allan M. Krall) . . . . . . . . . . . . 514--515
Henry Stark Book Review: \booktitleTransforms for
Engineers: a Guide to Signal Processing
(I. G. Beauchamp) . . . . . . . . . . . 515--516
Iradj G. Tadjbakhsh Book Review: \booktitleOptimal
Structural Design under Stability
Constraints (A. Gajewski and M.
Zyckowski) . . . . . . . . . . . . . . . 516--516
T. A. Burton Author's Comment . . . . . . . . . . . . 517--519
Anonymous Other Books Received . . . . . . . . . . 519--526
Anonymous New Members . . . . . . . . . . . . . . 527--532
Peter D. Lax The flowering of applied mathematics in
America. Reprinted from \booktitleA
century of mathematics, Part II,
455--466, Amer. Math. Soc., Providence,
RI, 1989 [see MR 90a:01065] . . . . . . 533--541
P. R. Garabedian Computational Models in Fusion Research 542--559
Nozer D. Singpurwalla A Unifying Perspective on Statistical
Modeling . . . . . . . . . . . . . . . . 560--564
George Dassios and
R. E. Kleinman On Kelvin Inversion and Low-Frequency
Scattering . . . . . . . . . . . . . . . 565--585
Phillip A. Regalia and
Sanjit K. Mitra Kronecker Products, Unitary Matrices and
Signal Processing Applications . . . . . 586--613
Gilbert Strang Wavelets and dilation equations. A brief
introduction . . . . . . . . . . . . . . 614--627
Christopher E. Heil and
David F. Walnut Continuous and Discrete Wavelet
Transforms . . . . . . . . . . . . . . . 628--666
Michael A. B. Deakin Stokes Flow: an Elementary Treatment . . 667--670
J. Y. Jaffray and
J. Ch. Pomerol A Direct Proof of the Kuhn--Tucker
Necessary Optimality Theorem for Convex
and Affine Inequalities . . . . . . . . 671--674
D. K. Cohoon and
R. M. Purcell On the Number of Roots of a
Transcendental Equation . . . . . . . . 675--675
Ralph Kelsey Two Determinant Inequalities . . . . . . 675--675
J. W. Miles A Complement of Weber's Integral . . . . 675--676
David W. Wilson A Functional Equation . . . . . . . . . 676--676
Ted W. Lockhart Probabilistic Ethics . . . . . . . . . . 676--677
Walter Boehm Book Review: \booktitleAn Inequality
(Wojciech Szatzschneider) . . . . . . . 677--678
M. S. Klamkin and
Carl C. Grosjean Book Review: \booktitleAn Inverse
Potential Problem (M. S. Klamkin) . . . 678--682
Anonymous Book Review: \booktitleA Probability
Generating Function (A. A. Jagers) . . . 682--683
D. R. Breach Book Review: \booktitleDouble Sum of
Bessel Functions in Computer Music (A.
Ronveaux, J. P. Palamin, and P. Palamin) 683--684
C. C. Grosjean and
O. G. Ruehr and
W. R. Young and
J. S. Lew Book Review: \booktitleAn Inverse
Laplace Transform (O. G. Ruehr and W. R.
Young) . . . . . . . . . . . . . . . . . 685--686
David C. Arney Book Review: \booktitleNumerical
Solution of the Shallow-Water Equations
(F. W. Wubs) . . . . . . . . . . . . . . 687--688
Holt Ashley Book Review: \booktitleStudies in
Nonlinear Aeroelasticity (Earl H. Dowell
and Marat Ilgamov) . . . . . . . . . . . 688--689
J. C. Butcher Book Review: \booktitleTheory of
Difference Equations: Numerical Methods
and Applications (V. Lakshmikantham and
D. Trigiante) . . . . . . . . . . . . . 689--690
John David Crawford Book Review: \booktitleGlobal
Bifurcations and Chaos: Analytical
Methods (S. Wiggins) . . . . . . . . . . 690--692
Derek Elsworth Book Review: \booktitleBoundary Element
Analysis in Computational Fracture
Mechanics (T. A. Cruse) . . . . . . . . 692--692
W. H. Enright Book Review: \booktitleThe Numerical
Analysis of Ordinary Differential
Equations: Runge--Kutta and General
Linear Methods (J. C. Butcher) . . . . . 693--693
W. H. Fleming Book Review: \booktitlePerturbation
Methods in Optimal Control (Alain
Bensoussan) . . . . . . . . . . . . . . 693--694
Mostafa Ghandehari Book Review: \booktitleCodes and
Cryptography (Dominic Welsh) . . . . . . 694--695
Murli M. Gupta Book Review: \booktitleThe Numerical
Solution of Ordinary and Partial
Differential Equations (Granville
Sewell) . . . . . . . . . . . . . . . . 695--696
U. G. Haussmann Book Review: \booktitleLinear Systems
and Optimal Control (C. K. Chui and G.
Chen) . . . . . . . . . . . . . . . . . 696--698
Katherine Heinrich Book Review: \booktitleCombinatorial
Designs (W. D. Wallis) . . . . . . . . . 698--699
Don Hinton Book Review: \booktitleNon-Oscillation
Domains of Differential Equations with
Two Parameters (Angelo B. Mingarelli and
S. Gotskalk Halvorsen) . . . . . . . . . 699--700
Eugene Isaacson Book Review: \booktitleNumerical
Solution of Boundary Value Problems for
Ordinary Differential Equations (Uri M.
Ascher, Robert M. M. Mattheij, and
Robert D. Russell) . . . . . . . . . . . 700--701
Palls Jorgensen Book Review: \booktitleHarmonic Analysis
on Symmetric Spaces and Applications II
(Audrey Terras) . . . . . . . . . . . . 701--701
Timothy J. Kehoe Book Review: \booktitleMicroeconomic
Theory (Yoshihiko Otani and Mohamed
El-Hodiri) . . . . . . . . . . . . . . . 701--703
Kenneth R. Meyer Book Review: \booktitleSingularities and
Groups in Bifurcation Theory. Volume II
(Martin Golubitsky, Ian Stewart, and
David G. Schaeffer) . . . . . . . . . . 703--704
Andro Mikeli\'c Book Review: \booktitleMathematical
Problems of Statistical Hydromechanics
(M. J. Vishik and A. V. Fursikov) . . . 704--706
Hans B. Nielsen Book Review: \booktitleSensitivity
Analysis in Linear Systems (Assem Deif) 706--707
E. Bruce Pitman Book Review: \booktitleVery Slow Flow of
Solids: Basics of Modeling in
Geodynamics and Glaciology (L. A.
Lliboutry) . . . . . . . . . . . . . . . 707--708
C. Prakash Book Review: \booktitlePhysical and
Computational Aspects of Convective Heat
Transfer; Solutions Manual; and Computer
Programs (Tuncer Cebeci and Peter
Bradshaw) . . . . . . . . . . . . . . . 708--709
Martin Schechter Book Review: \booktitleSemi-Classical
Analysis for the Schrödinger Operator and
Applications (Bernard Helffer) . . . . . 709--709
David Siegmund Book Review: \booktitleStopped Random
Walks: Limit Theorems and Applications
(Allan Gut) . . . . . . . . . . . . . . 709--710
Marshall Slemrod Book Review: \booktitleSensors and
Controls in the Analysis of Distributed
Systems (A. El Jai and A. J. Pritchard) 710--710
Anonymous Other Books Received . . . . . . . . . . 711--720
Anonymous New Members . . . . . . . . . . . . . . 721--725
Anonymous Report of the Treasurer for the Year
Ended December 31, 1988 . . . . . . . . 726--727
A. T. Winfree Stable Particle-Like Solutions to the
Nonlinear Wave Equations of
Three-Dimensional Excitable Media . . . 1--53
K. A. Gallivan and
R. J. Plemmons and
A. H. Sameh Parallel Algorithms for Dense Linear
Algebra Computations . . . . . . . . . . 54--135
David Tudor A Deterministic Model for Herpes
Infections in Human and Animal
Populations . . . . . . . . . . . . . . 136--139
M. A. Abdelkader A Guerrilla Combat Model . . . . . . . . 140--140
I. Herron Two Definite Integrals . . . . . . . . . 140--140
Petter E. Bjòrstad An Inequality in Linear Algebra . . . . 141--141
W. Böhm A Trigonometric Sum . . . . . . . . . . 141--141
M. S. Klamkin An Integral Inequality . . . . . . . . . 141--141
W. B. Jordan Book Review: \booktitleAn Elliptic
Function Identity (E. L. Wachspress) . . 142--143
W. B. Jordan and
E. L. Wachspress An Elliptic Function Identity . . . . . 142--143
W. B. Jordan Book Review: \booktitleOn the Principal
Value of a Quadruple Integral (M. L.
Glasser) . . . . . . . . . . . . . . . . 143--145
W. B. Jordan and
M. L. Glasser On the Principal Value of a Quadruple
Integral . . . . . . . . . . . . . . . . 143--145
G. F. Newell and
O. G. Ruehr Asymptotic Behavior of a Melting
Interface . . . . . . . . . . . . . . . 145--148
G. F. Newell Book Review: \booktitleAsymptotic
Behavior of a Melting Interface (O. G.
Ruehr) . . . . . . . . . . . . . . . . . 145--148
W. Hulsbergen and
A. A. Jagers Eigenvalues and Eigenvectors of a
Combinatorial Matrix . . . . . . . . . . 148--149
W. B. Jordan Book Review: \booktitleRadiation from a
System of Uniformly Circling Charges (V.
Hnizdo) . . . . . . . . . . . . . . . . 149--153
W. B. Jordan and
V. Hnizdo Radiation from a System of Uniformly
Circling Charges . . . . . . . . . . . . 149--154
Anonymous Quickie . . . . . . . . . . . . . . . . 154--154
Thomas E. Armstrong Book Review: \booktitleA Theory of
Heuristic Information in Game-Tree
Search (Chun-Hung Tzeng) . . . . . . . . 155--156
Thomas E. Armstrong A Theory of Heuristic Information in
Game-Tree Research (Chun-Hung Tzeng) . . 155
J. Thomas Beale Book Review: \booktitleNavier--Stokes
Equations (Peter Constantin and Ciprian
Foias) . . . . . . . . . . . . . . . . . 156--158
J. Thomas Beale Navier--Stokes Equations (Peter
Constantin and Ciprian Foias) . . . . . 156
Jonathan Bell Book Review: \booktitleIntroduction to
Theoretical Neurobiology. Volume 1:
Linear Cable Theory and Dendritic
Structure. Volume 2: Nonlinear and
Stochastic Theories (Henry C. Tuckwell) 158--160
F. H. Brownell Book Review: \booktitleSolvable Models
in Quantum Mechanics (S. Albeverio, F.
Gesztesy, R. Hoegh-Krohn, and H. Holden) 160--167
Alfred S. Cavaretta, Jr. Book Review: \booktitleLectures on
Complex Approximation (Dieter Gaier;
Renate McLaughlin, trans.) . . . . . . . 167--168
Jerald P. Dauer Book Review: \booktitleIterative
Aggregation Theory. Mathematical Methods
of Coordinating Detailed and Aggregate
Problems in Large Control Systems (Lev
M. Dudkin, Hya Rabinovich, and Ilya
Vakhutinsky) . . . . . . . . . . . . . . 168--172
Frank Deutsch Book Review: \booktitleNonlinear
Approximation Theory (Dietrich Braess) 172--172
Bruce Ellingwood Book Review: \booktitleReliability of
Randomly Excited Hysteretic Structures
(B. F. Spencer, Jr.) . . . . . . . . . . 172--173
A. F. Fossum Book Review: \booktitleTopics in
Boundary Element Research, Volume 4:
Applications in Geomechanics (C. A.
Brebbia, ed.) . . . . . . . . . . . . . 173--174
Robert P. Gilbert Book Review: \booktitleMethods of
Complex Analysis in Partial Differential
Equations with Applications (Manfred
Kracht and Erwin Kreyszig) . . . . . . . 174--175
Robert P. Gilbert Methods of Complex Analysis in Partial
Differential Equations with Applications
(Manfred Kracht and Erwin Kreyszig) . . 174
Peter Guttorp Book Review: \booktitleAn Introduction
to the Theory of Point Processes (D. J.
Daley and D. Vere-Jones) . . . . . . . . 175--176
Edi Karni Book Review: \booktitleNonlinear
Preference and Utility Theory (Peter C.
Fishburn) . . . . . . . . . . . . . . . 176--178
Chi-Sing Man Book Review: \booktitleA Commentary on
Thermodynamics (William Alan Day) . . . 178--180
Chi-Sing Man A Commentary on Thermodynamics (William
Alan Day) . . . . . . . . . . . . . . . 178
Andrew N. Norris Book Review: \booktitleAcoustics of
Solids (A. I. Seltzer) . . . . . . . . . 180--180
Rainer H. Picard Book Review: \booktitleNonlinear
Evolution Equations and Applications
(Gheorghe Morosanu) . . . . . . . . . . 180--182
B. D. Reddy Book Review: \booktitleMaximum and
Minimum Principles: a Unified Approach,
with Applications. (M. J. Sewell) . . . 182--184
Matti Ruohonen Book Review: \booktitleNon-Life
Insurance Mathematics (Erwin Straub) . . 184--185
Matti Ruohonen Non-Life Insurance Mathematics (Erwin
Straub) . . . . . . . . . . . . . . . . 184
Alwyn Scott Book Review: \booktitleSolitons: an
Introduction (P. G. Drazin and R. S.
Johnson) . . . . . . . . . . . . . . . . 185--186
Alwyn Scott Book Review: \booktitleSolitons: An
Introduction (P. G. Drazin and R. S.
Johnson) . . . . . . . . . . . . . . . . 185
David Siegmund Book Review: \booktitleProbability
Approximations via the Poisson Clumping
Heuristic (D. Aldous) . . . . . . . . . 186--187
Frank Stenger Book Review: \booktitleRational
Approximation of Real Functions (P. P.
Petrushev and V. I. Popov) . . . . . . . 187--188
J. T. Stuart Book Review: \booktitleHamiltonian
Systems: Chaos and Quantization (Alfredo
M. Ozorio de Almeida). \booktitleChaos
and Integrability in Nonlinear Dynamics:
an Introduction (Michael Tabor).
\booktitleAn Introduction to Chaotic
Dynamical Systems (Robert L. Devaney) 188--190
Shlomo Ta'Asan Book Review: \booktitleMultigrid
Solution of the Steady Euler Equations
(S. P. Spekreijse) . . . . . . . . . . . 190--191
Vladimir Tulovsky Book Review: \booktitleMathematical
Analysis and Numerical Methods for
Science and Technology, Volume 2:
Functional and Variational Methods
(Robert Daut ray and Jacques-Louis
Lions; Ian N. Sneddon, trans.) . . . . . 191--192
Arthur S. Wightman Book Review: \booktitleRiemann,
Topology, and Physics, by Michael
Monastyrsky, Freeman J. Dyson, James
King, Victoria King, R. O. Wells, Jr. 192--192
A. G. Ramm Author's Comment . . . . . . . . . . . . 192--193
Anonymous Other Books Received . . . . . . . . . . 193--202
Anonymous New Members . . . . . . . . . . . . . . 203--209
Anonymous Elected and Appointed Officials . . . . 210--210
Steve Smale Some Remarks on the Foundations of
Numerical Analysis . . . . . . . . . . . 211--220
Stuart L. Anderson Random Number Generators on Vector
Supercomputers and Other Advanced
Architectures . . . . . . . . . . . . . 221--251
William L. Briggs and
Van Emden Henson The FFT as a Multigrid Algorithm . . . . 252--261
Howard A. Levine The Role of Critical Exponents in Blowup
Theorems . . . . . . . . . . . . . . . . 262--288
Dorothy Browne Shaffer The Maximum Range of a Projectile in a
Vacuum Revisited . . . . . . . . . . . . 289--293
R. T. Yanushevsky Parametric Feedback Improving Control
Systems Efficiency . . . . . . . . . . . 294--299
P. Th. L. M. van Woerkom Optimization of a Stability Bound . . . 300--300
D. C. Handscomb Impossibility of a Conic Through Six
Points . . . . . . . . . . . . . . . . . 300--301
A. A. Jagers and
E. A. van Doorn Convexity of Functions Which are
Generalizations of the Erlang Loss
Function and the Erlang Delay Function 301--302
K. S. Murray Minimum Value of an Integral . . . . . . 302--302
E. Pincheon and
C. C. Rousseau An Optimization Problem . . . . . . . . 302--302
L. Flatto and
L. Shepp and
M. Renardy and
A. A. Jagers Problem of the Nile . . . . . . . . . . 302--304
Michael Renardy and
A. A. Jagers Book Review: \booktitleProblem of the
Nile (Leopold Flatto and Larry Shepp) 302--304
J. G. Watson and
M. X. Goemans and
J. A. Grzesik and
D. A. Kurtze and
T. S. Lewis and
O. P. Lossers and
I. Mareels and
F. Mathis and
D. Ullman and
J. R. Varma An Average Maximum Distance . . . . . . 304--305
John G. Watson Book Review: \booktitleAn Average
Maximum Distance (Peter Senn) . . . . . 304--305
Barry D. Ganapol Photon Transport in Plant Canopies . . . 305--307
M. S. Klamkin and
W. W. Meyer and
F. Hezhi and
S. G. Kelly and
O. P. Lossers 3 Particles Moving on a Circle . . . . . 307--309
W. Weston Meyer Book Review: \booktitleThree Particles
Moving on a Circle (Murray S. Klamkin) 307--309
Anonymous Quickie . . . . . . . . . . . . . . . . 309--309
Faiz Al-Khayyal Book Review: \booktitleConstrained
Global Optimization: Algorithms and
Applications (P. M. Pardalos and J. B.
Rosen) . . . . . . . . . . . . . . . . . 310--312
S. R. Bernfeld Book Review: \booktitleDifferential
Equations with Discontinuous Righthand
Sides (A. F. Filippov) . . . . . . . . . 312--315
Charles Blair Book Review: \booktitleInteger and
Combinatorial Optimization (George L.
Nemhauser and Laurence A. Wolsey) . . . 315--315
C. Cuvelier Book Review: \booktitleMéthodes des
Éléments Finis pour les Fluides (O.
Pironneau); English translation:
\booktitleFinite Element Methods for
Fluids (O. Pironneau) . . . . . . . . . 315--316
I. J. Good Book Review: \booktitleFractals
Everywhere (Michael Barnsley) . . . . . 317--318
I. J. Good Fractals Everywhere (Michael Barnsley) 317
Karl Gustafson Book Review: \booktitleStochastic
Processes in the Neurosciences (Henry C.
Tuckwell) . . . . . . . . . . . . . . . 318--322
Karl Gustafson Stochastic Processes in the
Neurosciences (Henry C Tuckwell) . . . . 318
Thomas G. Hallam Book Review: \booktitleThe Theory of
Evolution and Dynamical Systems:
Mathematical Aspects of Selection (Josef
Hofbauer and Karl Sigmund) . . . . . . . 322--323
Thomas G. Hallam The Theory of Evolution and Dynamical
Systems: Mathematical Aspects of
Selection (Josef Hofbauer and Karl
Sigmund) . . . . . . . . . . . . . . . . 322
James Keesling Book Review: \booktitleNatural Resource
Economics: Notes and Problems (Jon M.
Conrad and Colin W. Clark) . . . . . . . 323--325
Anders Lindquist Book Review: \booktitleLinear Stochastic
Systems (Peter E. Caines) . . . . . . . 325--328
R. E. Mayle Book Review: \booktitleHeat Transfer in
Turbulent Mixed Convection (B. S.
Petukhov and A. F. Polyakov; R.
Hainsworth and G. Rybchinskaya, trans.;
B. E. Launder, ed., English edition) . . 328--329
D. Ramkrishna Book Review: \booktitleProcess Modeling
(Morton M. Denn) . . . . . . . . . . . . 329--330
Donald K. Richter Book Review: \booktitleFoundations of
the Theory of General Equilibrium (Yves
Balasko) . . . . . . . . . . . . . . . . 330--331
Donald K. Richter Foundations of the Theory of General
Equilibrium (Yves Balasko) . . . . . . . 330
Emilio O. Roxin Book Review: \booktitleOptimal Periodic
Control (Fritz Colonius) . . . . . . . . 331--332
Emilio O. Roxin Optimal Periodic Control (Fritz
Colonius) . . . . . . . . . . . . . . . 331
Martin Shubik Book Review: \booktitleStability and
Perfection of Nash Equilibria (Eric van
Damme) . . . . . . . . . . . . . . . . . 332--333
Martin Shubik Stability and Perfection of Nash
Equilibria (Eric van Damme) . . . . . . 332
Henry Stark Book Review: \booktitleMorphological
Methods in Image and Signal Processing
(Charles R. Giardina and Edward R.
Dougherty) . . . . . . . . . . . . . . . 333--333
Uwe Zimmermann Book Review: \booktitleDiscrete
Optimization (R. Gary Parker and Ronald
L. Rardin) . . . . . . . . . . . . . . . 333--334
Anonymous Other Books Received . . . . . . . . . . 335--343
Anonymous New Members . . . . . . . . . . . . . . 344--353
C. Cuvelier and
R. M. S. M. Schulkes Some Numerical Methods for the
Computation of Capillary Free Boundaries
Governed by the Navier--Stokes Equations 355--423
U. Kirchgraber and
D. Stoffer Chaotic Behaviour in Simple Dynamical
Systems . . . . . . . . . . . . . . . . 424--452
E. O. Tuck and
L. W. Schwartz A Numerical and Asymptotic Study of Some
Third-Order Ordinary Differential
Equations Relevant to Draining and
Coating Flows . . . . . . . . . . . . . 453--469
Walter W. Piegorsch and
George Casella Erratum. Inverting a sum of matrices:
``The early use of matrix diagonal
increments in statistical problems''
[SIAM Rev. \bf 31 (1989), no. 3,
428--434 and MR 90g:65044] . . . . . . . 470--470
W. W. Piegorsch and
G. Casella Inverting a Sum of Matrices . . . . . . 470--470
S. Richardson How \em Not to Tackle Some Singular
Perturbation Problems . . . . . . . . . 471--473
Bernard D. Flury Acceptance-Rejection Sampling Made Easy 474--476
A. N. Norrts and
Y. Yang Conjectured Identities from an Acoustic
Scattering Problem . . . . . . . . . . . 477--477
Johannes Verlinde Two Integrals Arising from a Cloud Model 478--478
Richard B. Evans A Two-Point Boundary Problem for Airy
Functions . . . . . . . . . . . . . . . 478--479
Lih-Yuan Deng Elements of Maximum Order in a Matrix
Group . . . . . . . . . . . . . . . . . 479--479
Gaoyuan Wei A Multidimensional Integral . . . . . . 479--479
C. C. Grosifan and
W. B. Jordan Asymptotic Behavior of a Definite
Integral . . . . . . . . . . . . . . . . 480--481
C. C. Grosjean Book Review: \booktitleAsymptotic
Behavior of a Definite Integral (M. L.
Glasser) . . . . . . . . . . . . . . . . 480--481
A. Gibbs and
J. P. Boyd and
S. P. Chicatelli and
J. A. Crow and
C. Dorman and
M. Gupta and
A. Genz and
C. C. Grosjean and
H. Guggenheimer and
M. Haag and
S. Haber and
K. Imre and
H. Weitzner and
W. B. Jordan and
J. F. Kinkel and
D. A. Kurtze and
J. K. Larsen and
K. W. Lau and
P. D. Mccray and
A. J. Oconnor and
M. Renardy and
R. S. Sezginer and
E. L. Smith and
H. A. Steinberg and
R. Terrell and
P. Wagner and
N. Waller and
J. E. Wilkins and
G. Wilson and
J. C. Xu Numerical Evaluation of a Slowly
Convergent Series . . . . . . . . . . . 481--483
Alan Gibes Book Review: \booktitleNumerical
Evaluation of a Slowly Convergent Series
(R. E. Shafer) . . . . . . . . . . . . . 481--483
A. A. Jagers Book Review: \booktitleA Conjectured
Matrix Inequality (W. H. Steeb and C. M.
Villet) . . . . . . . . . . . . . . . . 483--484
A. A. Jagers and
W. Boehm and
C. C. Grosjean and
R. Mathias and
A. Y. Ozban and
M. Renardy and
R. S. Sezginer and
W. So and
B. A. Watson and
J. C. Xu A Conjectured Matrix Inequality . . . . 483--484
Roger Alexander Book Review: \booktitleSolving Ordinary
Differential Equations I: Nonstiff
Problems (E. Hairer, S. P. Nòrsett, and
G. Wanner) . . . . . . . . . . . . . . . 485--486
Stuart S. Antman Book Review: \booktitleDynamics of
Multibody Systems (R. E. Roberson and R.
Schwertassek) . . . . . . . . . . . . . 486--487
Jonathan G. Bell Book Review: \booktitleMathematical
Biology (J. D. Murray) . . . . . . . . . 487--489
John P. Boyd Book Review: \booktitleAn Introduction
to the Numerical Analysis of Spectral
Methods (Bertrand Mercier) . . . . . . . 489--490
John P. Boyd An Introduction to the Numerical
Analysis of Spectral Methods (Bertrand
Mercier) . . . . . . . . . . . . . . . . 489
Peter J. Bryant Book Review: \booktitleFrom Equilibrium
to Chaos: Practical Bifurcation and
Stability Analysis (Rudiger Seydel) . . 490--491
Peter J. Bryant From Equilibrium to Chaos: Practical
Bifurcation and Stability Analysis
(Rudiger Seydel) . . . . . . . . . . . . 490
Carmen Chicone Book Review: \booktitleIntroduction to
the Algebraic Theory of Invariants of
Differential Equations (K. S. Sibirsky) 491--493
Charles K. Chui Book Review: \booktitleEstimation,
Control, and the Discrete Kalman Filter
(Donald E. Calin) . . . . . . . . . . . 493--494
Charles K. Chui and
Guanrong Chen Estimation, Control, and the Discrete
Kalman Filter (Donald E Catlin) . . . . 493
Joel E. Cohen Book Review: \booktitlePopulation System
Control (Jian Song and Jingyuan Yu) . . 494--500
Joel E. Cohen Population System Control (Jian Song and
Jingyuan Yu) . . . . . . . . . . . . . . 494
Datta K. Subhendu Book Review: \booktitleWave Propagation
in Solids and Fluids (J. L. Davis) . . . 500--501
Subhendu K. Datta Book Review: \booktitleWave Propagation
in Solids and Fluids (J. L. Davis) . . . 500
Robert L. Devaney Book Review: \booktitlePractical
Numerical Algorithms for Chaotic Systems
(T. S. Parker and L. O. Chua) . . . . . 501--503
Asen L. Dontchev Book Review: \booktitleOptimization and
Identification of Systems Governed by
Evolution Equations on Banach Space (N.
U. Ahmed) . . . . . . . . . . . . . . . 503--503
Wendell H. Fleming Book Review: \booktitleOptimal Control
of Diffusion Processes (Vivek S. Borkar) 503--504
Horst W. Hamacher Book Review: \booktitleTheoretical and
Computational Aspects of Simulated
Annealing (P. J. M. van Laarhoven);
\booktitleSimulated Annealing: Theory
and Applications (P. J. M. van Laarhoven
and E. H. L. Aarts) . . . . . . . . . . 504--506
A. K. Kapila Book Review: \booktitleMathematics in
Industrial Problems Mathematics in
Industrial Problems, Part 2. (Avner
Friedman) . . . . . . . . . . . . . . . 506--507
A. K. Kapila Mathematics in Industrial Problems and
Mathematics in Industrial Problems, Part
2 (Avner Friedman) . . . . . . . . . . . 506
A. K. Kapila Book Review: \booktitleDynamics of
Curved Fronts (Pierre Pelce, ed.) . . . 507--507
Robert B. Kelman Book Review: \booktitleTheory of
Discrete and Continuous Fourier Analysis
(H. Joseph Weaver) . . . . . . . . . . . 507--508
A. K. Kapila Dynamics of Curved Fronts (Pierre Pelce) 507
W. David Kelton Book Review: \booktitlePrinciples of
Random Variate Generation (John
Dagpunar) . . . . . . . . . . . . . . . 508--511
W. David Kelton Principles of Random Variate Generation
(John Dagpunar) . . . . . . . . . . . . 508
T. R. Kirkpatrick Book Review: \booktitleClassical
Equilibrium Statistical Mechanics (Colin
J. Thompson) . . . . . . . . . . . . . . 511--511
Gordon Latta Book Review: \booktitleHandbook of
Differential Equations (Daniel
Zwilliger) . . . . . . . . . . . . . . . 511--512
T. R. Kirkpatrick Classical Equilibrium Statistical
Mechanics (Colin J Thompson) . . . . . . 511
Gordon Latta Handbook of Differential Equations
(Daniel Zwilliger) . . . . . . . . . . . 511
David S. Malkus Book Review: \booktitleFinite Element
Methods (H. R. Schwarz; J. R. Whiteman,
ed.;Caroline M. Whiteman, trans.) . . . 512--513
Marc Mangel Book Review: \booktitleAn Introduction
to Mathematical Physiology and Biology
(J. Mazumdar) . . . . . . . . . . . . . 513--514
Marc Mangel An Introduction to Mathematical
Physiology and Biology (J Mazumdar) . . 513
John G. Milton Book Review: \booktitleBiological Delay
Systems: Linear Stability Theory (N.
MacDonald) . . . . . . . . . . . . . . . 514--516
John G. Milton Biological Delay Systems: Linear
Stability Theory (N MacDonald) . . . . . 514
Zbigniew Nitecki Book Review: \booktitleNon-Linear
Oscillations. Second edition (Peter
Hagedorn; Wolfram Stadler, trans. and
ed.) . . . . . . . . . . . . . . . . . . 516--517
Peter J. Olver Book Review: \booktitleSymmetries and
Differential Equations (G. W. Bluman and
S. Kumei) . . . . . . . . . . . . . . . 517--519
D. F. Parker Book Review: \booktitleNonlinear
Evolution Equations (J. K. Engelbrecht,
V. E. Fridman, and E. N. Pelinovski) . . 519--520
Harold Weitzner Book Review: \booktitleIntroduction to
Nonlinear Fluid-Plasma Waves (Bhimsen K.
Shivamoggi) . . . . . . . . . . . . . . 520--521
P. H. Wittke Book Review: \booktitleA Unified
Approach to Zero-Crossings and
Nonuniform Sampling: Of Single and
Multidimensional Signals and Systems
(Farokh A. Marvasti) . . . . . . . . . . 521--522
Anonymous Other Books Received . . . . . . . . . . 522--530
Anonymous New Members . . . . . . . . . . . . . . 531--535
A. C. Lazer and
P. J. Mckenna Large-Amplitude Periodic Oscillations in
Suspension Bridges: Some New Connections
with Nonlinear Analysis . . . . . . . . 537--578
G. W. Stewart Stochastic Perturbation Theory . . . . . 579--610
Achiya Dax The Convergence of Linear Stationary
Iterative Processes for Solving Singular
Unstructured Systems of Linear Equations 611--635
Clark Jeffries Code Recognition with Neural Network
Dynamical Systems . . . . . . . . . . . 636--651
S. Graham Kelly Nonlinear Phenomena in a Column of
Liquid in a Rotating Manometer . . . . . 652--659
Peter S. Bernard Convective Diffusion in Two-Dimensional
Incompressible Linear Flow . . . . . . . 660--666
John E. Angus Generalization of the ``universal pivot
function'' and its use in constructing
confidence intervals and sets . . . . . 667--670
M. A. B. Deakin Addition . . . . . . . . . . . . . . . . 671--671
Michael A. B. Deakin Addendum: ``Stokes flow: an elementary
treatment'' [SIAM Rev. \bf 31 (1989),
no. 4, 667--670 and MR 90k:76043] . . . 671--671
Paul Schweitzer Simultaneous Functional Equations . . . 672--672
Ken Lever Exponentially Windowed Estimates of a
Periodically Sampled Time-Series, and
Its First and Second Derivatives Using
Quadratic Regression . . . . . . . . . . 672--673
Dennis S. Bernstein Orthogonal Matrices and the Matrix
Exponential . . . . . . . . . . . . . . 673--673
M. S. Klamkin Cyclic Pursuit with Lead Angle (Quickie) 673--673
Anonymous Cyclic Pursuit with Lead Angle (Quickie) 674--674
D. P. Laurie and
B. Tibken Late Solutions . . . . . . . . . . . . . 674--674
Robert E. Terrell and
H. L. Abbott Book Review: \booktitleThe Complexity of
the Standard Form of an Integer (K. V.
Lever) . . . . . . . . . . . . . . . . . 674--681
R. E. Terrell and
K. V. Lever and
G. Mccaughan The Complexity of the Standard Form of
an Integer . . . . . . . . . . . . . . . 674--681
Michael Renardy Book Review: \booktitleTwo Determinant
Inequalities (Ralph Kelsey) . . . . . . 681--682
M. Renardy and
M. D. Asic and
D. Hewgill and
P. Vandendriessche and
A. A. Jagers and
E. Loucks and
G. Taubin and
P. J. Thomas Two Determinant Inequalities . . . . . . 681--682
D. K. Cohoon and
R. M. Purcell and
Michael Renardy and
C. C. Grosjean On the Number of Roots of a
Transcendental Equation . . . . . . . . 682--683
M. Renardy and
C. C. Grosjean and
W. B. Jordan On the Number of Roots of a
Transcendental Equation . . . . . . . . 682--683
Norbert Ortner and
M. L. Glasser Book Review: \booktitleA Complement of
Weber's Integral (J. W. Miles) . . . . . 683--684
N. Ortner and
M. L. Glasser and
C. C. Grosjean and
M. Renardy A Complement of Weber Integral . . . . . 683--684
D. G. Rogers and
Peter Borwein Book Review: \booktitleA Functional
Equation (David W. Wilson) . . . . . . . 684--686
D. G. Rogers and
P. Borwein and
D. R. Breach and
J. L. Buhite and
A. G. Gibbs and
C. C. Grosjean and
H. Guggenheimer and
R. Ingle and
W. B. Jordan and
D. A. Kurtze and
G. N. Lewis and
L. J. Mathis and
F. Mathis and
D. C. Nairn and
M. Renardy and
H. J. Seiffert and
J. Vankan and
H. Wiener A Functional Equation . . . . . . . . . 684--686
R. Ingle and
A. Genz and
P. Wollan and
T. W. Lockhart Probabilistic Ethics . . . . . . . . . . 686--688
Ted W. Lockhart and
Robert Ingle and
Peter Wollan Probabilistic Ethics . . . . . . . . . . 686--688
Jonathan Borwein Book Review: \booktitleGeneralized
Concavity (Mordecai Avriel, Walter E.
Diewert, Siegfried Schaible, and Israel
Zang) . . . . . . . . . . . . . . . . . 689--690
James W. Demmel Book Review: \booktitleMatrix
Computations; Second Edition (Gene Golub
and Charles F. Van Loan) . . . . . . . . 690--691
Hendrik A. Dijkstra Book Review: \booktitleLow-Gravity Fluid
Mechanics: Mathematical Theory of
Capillary Phenomena (A. D. Myshkis, V.
G. Babskii, N. D. Kopachevskii, L. A.
Slobozhanin, and A. D. Tyuptsov; R. S.
Wadhwa, trans.) . . . . . . . . . . . . 691--693
Richard T. Durrett Book Review: \booktitlePercolation
(Geoffrey Grimmett) . . . . . . . . . . 693--693
Alp Eden Book Review: \booktitleVibration and
Coupling of Continuous Systems:
Asymptotic Methods (Jacqueline Sanchez
Hubert and Enrique Sanchez Palencia) . . 693--694
Richard T. Durrett Percolation (Geoffrey Grimmett) . . . . 693
Alp Eden Vibration and Coupling of Continuous
Systems: Asymptotic Methods (Jacqueline
Sanchez Hubert and Enrique Sanchez
Palencia) . . . . . . . . . . . . . . . 693
Ali Feliachi Book Review: \booktitleControl of
Partially-Known Dynamical Systems (A. A.
Bahnasawi and M. S. Mahmoud) . . . . . . 694--695
Ferdinand Freudenstein Book Review: \booktitleRational
Kinematics (Jorge Angeles) . . . . . . . 695--696
J. Haug Edward Book Review: \booktitleVariational
Principles of Continuum Mechanics with
Engineering Applications. Volume 2:
Introduction to Optimal Design Theory
(Vadim Komkov) . . . . . . . . . . . . . 696--697
Edward J. Haug Variational Principles of Continuum
Mechanics with Engineering Applications.
Volume 2: Introduction to Optimal Design
Theory (Vadim Komkov) . . . . . . . . . 696
K.-Peter Holz Book Review: \booktitleComputational
Hydraulics: an Introduction (Cornelis B.
Vreugdenhil) . . . . . . . . . . . . . . 697--698
K.-Peter Holz Computational Hydraulics: An
Introduction (Cornelis B Vreugdenhil) 697
Nicholas D. Kazarinoff Book Review: \booktitleElements of
Differentiable Dynamics and Bifurcation
Theory (David Ruelle) . . . . . . . . . 698--698
Nicholas D. Kazarinoff Elements of Differentiable Dynamics and
Bifurcation Theory (David Ruelle) . . . 698
M. S. Klamkin Book Review: \booktitlePolynomials (E.
J. Barbeau) . . . . . . . . . . . . . . 699--700
John C. Nash Book Review: \booktitleIntroduction to
Numerical Linear Algebra and
Optimisation (Philippe G. Ciarlet with
Bernadette Miara and Jean-Marie Thomas;
A. Buttigieg, trans.) . . . . . . . . . 700--702
Yoh-Han Pao Book Review: \booktitleFundamentals of
Pattern Recognition (Monique Pavel) . . 702--702
E. Bruce Pitman Book Review: \booktitleAnalysis of
Skeletal Structural Systems in the
Elastic and Elastic-Plastic Range (Adam
Borkowski) . . . . . . . . . . . . . . . 702--703
Yoh-Han Pao Fundamentals of Pattern Recognition
(Monique Pavel) . . . . . . . . . . . . 702
E. Bruce Pitman Analysis of Skeletal Structural Systems
in the Elastic and Elastic-Plastic Range
(Adam Borkowski) . . . . . . . . . . . . 702
Gustavo Ponce Book Review: \booktitleInitial-Boundary
Value Problems and the Navier--Stokes
Equations (Heinz-Otto Kreiss and Jens
Lorenz) . . . . . . . . . . . . . . . . 703--704
Gustavo Ponce Initial-Boundary Value Problems and the
Navier--Stokes Equations (Heinz-Otto
Kreiss and Jens Lorenz) . . . . . . . . 703
F. J. Radermacher Book Review: \booktitleProbabilistic
Reasoning in Intelligent Systems:
Networks of Plausible Inference (Judea
Pearl) . . . . . . . . . . . . . . . . . 704--707
F. J. Rademacher Probabilistic Reasoning in Intelligent
Systems: Networks of Plausible Inference
(Judea Pearl) . . . . . . . . . . . . . 704
R. D. Russell Book Review: \booktitleContinuous
Decoupling Transformations for Linear
Boundary Value Problems (P. M. van Loon) 707--708
M. Erol Sezer Book Review: \booktitleLarge Scale
Systems: Decentralization, Structure
Constraints and Fixed Modes (L. Trave,
A. Titli, and A. Tarras) . . . . . . . . 708--709
Anonymous Other Books Received . . . . . . . . . . 709--717
Anonymous New Members . . . . . . . . . . . . . . 718--720
Anonymous Report of the Treasurer for the Year
Ended December 31, 1989 . . . . . . . . 721--722
P. E. Gill and
W. Murray and
M. A. Saunders and
M. H. Wright Inertia-Controlling Methods for General
Quadratic Programming . . . . . . . . . 1--36
Ivars Peterson Searching for New Mathematics . . . . . 37--42
Theo S. H. Driessen A Survey of Consistency Properties in
Cooperative Game Theory . . . . . . . . 43--59
Manfred Padberg and
Giovanni Rinaldi A Branch-and-Cut Algorithm for the
Resolution of Large-Scale Symmetric
Traveling Salesman Problems . . . . . . 60--100
Kurt Kreith Establishing Hyperbolic Green's
Functions via Leibniz's Rule . . . . . . 101--105
Stephen P. Huestis Some Comments on the Optimization
Problem for Shear Stress Magnitude . . . 106--108
John MacBain and
Bruce Secrest Source Identification in Remote Sensing
Problems . . . . . . . . . . . . . . . . 109--113
C. C. Grosjean Two Trigonometric Multiple Integrals . . 114--114
D. B. Jevti\'c Optimum Multiple Access Coding . . . . . 114--115
M. A. Abdelkader A Third-Order Differential Equation . . 115--115
C. A. Oster Limit of a Definite Integral . . . . . . 115--116
Masaaki Sibuya An Identity for Sums of Binomial
Coefficients . . . . . . . . . . . . . . 116--116
Anonymous An Inequality . . . . . . . . . . . . . 116--118
Wojciech Szatzschneider An Inequality . . . . . . . . . . . . . 116--118
Anonymous 3 Particles Moving on a Circle . . . . . 118--119
W. Weston Meyer Book Review: \booktitleThree Particles
Moving on a Circle (Murray S. Klamkin) 118--119
Anonymous Two Definite Integrals . . . . . . . . . 120--122
C. C. Grosjean Book Review: \booktitleTwo Definite
Integrals (I. Herron) . . . . . . . . . 120--122
Gilbert N. Lewis Book Review: \booktitleGuerrilla Combat
Model (M. A. Abdelkader) . . . . . . . . 122--124
James A. Wilson and
W. Bohm and
C. C. Grosjean and
D. Pickett Book Review: \booktitleA Trigonometric
Sum (W. Böhm) . . . . . . . . . . . . . . 124--124
Boris Mityagin Book Review: \booktitleAn Inequality in
Linear Algebra (Petter E. Bjòrstad) . . . 125--127
B. Mityagin An Inequality in Linear Algebra . . . . 125--127
Anonymous Book Review: \booktitleTwo Trigonometric
Multiple Integrals (Quickie) . . . . . . 127--128
W. F. Ames Book Review: \booktitleThe Riemann
Problem and Interaction of Waves in Gas
Dynamics (Tung Chang and Ling Hsiao) . . 129--129
A. J. Baker Book Review: \booktitleFinite Element
Methods for Viscous Incompressible
Flows: a Guide to Theory, Practice, and
Algorithms (Max D. Gunzburger) . . . . . 129--131
W. F. Ames The Riemann Problem and Interaction of
Waves in Gas Dynamics (Tung Chang and
Ling Hsiao) . . . . . . . . . . . . . . 129
M. S. Berger Book Review: \booktitleMathematical
Analysis of Nonlinear Dynamic Processes:
an Introduction to Processes Governed by
Partial Differential Equations (K.-U.
Grusa) . . . . . . . . . . . . . . . . . 131--131
L. L. Campbell Book Review: \booktitleAn Introduction
to Digital Signal Processing (John H.
Karl) . . . . . . . . . . . . . . . . . 131--132
E. Rodney Canfield Book Review: \booktitleCombinatorial
Search (Martin Aigner) . . . . . . . . . 132--133
E. Rodney Canfield Combinatorial Search (Martin Aigner) . . 132
Guanrong Chen Book Review: \booktitleNumerical
Solution of Optimal Control Problems
with State Constraints by Sequential
Quadratic Programming in Function Spaces
(K. C. P. Machielsen) . . . . . . . . . 133--135
Susan Cole Book Review: \booktitlePartial
Differential Equations: Analytical
Solution Techniques (J. Kevorkian) . . . 135--136
Ellis Cumberbatch Book Review: \booktitleMathematical
Modelling: a Case Study Approach (R. R.
Clements) . . . . . . . . . . . . . . . 136--136
E. N. Dancer Book Review: \booktitleElementary
Stability and Bifurcation Theory (Gerard
Loos and Daniel D. Joseph) . . . . . . . 136--137
Paul Davis Book Review: \booktitleApplied
Mathematics: a Contemporary Approach (J.
David Logan) . . . . . . . . . . . . . . 137--139
Leah Edelstein-Keshet Book Review: \booktitleMathematical
Methods and Models in the Biological
Sciences Vol. 1 (Martin Eisen) . . . . . 139--141
Leah Edelstein-Keshet Mathematical Methods and Models in the
Biological Sciences (Martin Eisen) . . . 139
Derek Elsworth Book Review: \booktitleSlope Analysis
Using Boundary Elements (Y. S. Jiang) 141--142
G. C. Goodwin Book Review: \booktitleStochastic
Optimal Control Theory with Application
in Self-Tuning Control (K. J. Hunt) . . 142--144
Murli M. Gupta Book Review: \booktitleNumerical Methods
and Software (David Kahaner, Cleve
Moler, and Stephen Nash) . . . . . . . . 144--147
Murli M. Gupta Numerical Methods and Software (David
Kahaner, Cleve Moler, and Stephen Nash) 144
Kenneth B. Hannsgen Book Review: \booktitleRetarded
Dynamical Systems: Stability and
Characteristic Functions (G. Stépán) . . . 147--147
John L. Johnson Book Review: \booktitleNumerical
Simulation and Optimal Control in Plasma
Physics: With Applications to Tokamaks
(Jacques Blum) . . . . . . . . . . . . . 147--150
John L. Johnson Numerical Simulation and Optimal Control
in Plasma Physics: With Applications to
Tokamaks (Jacques Blum) . . . . . . . . 147
N. C. Kenkel Book Review: \booktitleMathematical
Modeling in Ecology: a Workbook for
Students (Clark Jeffries) . . . . . . . 150--151
N. C. Kenkel Mathematical Modeling in Ecology: a
Workbook for Students (Clark Jeffries) 150
F. L. Lewis Book Review: \booktitleSingular Control
Systems (L. Dai) . . . . . . . . . . . . 151--152
Jean Mawhin Book Review: \booktitleStability
Analysis of Nonlinear Systems (V.
Lakshmikantham, S. Leela, and A. A.
Martynyuk) . . . . . . . . . . . . . . . 152--154
Brian P. McCall Book Review: \booktitleMulti-Armed
Bandit Allocation Indices (J. C.
Gittins) . . . . . . . . . . . . . . . . 154--155
John G. Milton Book Review: \booktitleDepth Perception
in Frogs and Toads: a Study in Neural
Computing (Donald House) . . . . . . . . 155--156
John G. Milton Depth Perception in Frogs and Toads: a
Study in Neural Computing (Donald House) 155
Richard E. Mortensen Book Review:
\booktitleInfinite-Dimensional Dynamical
Systems in Mechanics and Physics (Roger
Temam) . . . . . . . . . . . . . . . . . 156--158
Richard E. Mortensen Infinite-Dimensional Dynamical Systems
in Mechanics and Physics (Roger Temam) 156
Zenon Mroz Book Review: \booktitleStructural Design
Via Optimality Criteria: The Prager
Approach to Structural Optimization
(George I. N. Rozvany) . . . . . . . . . 158--159
J. R. Ockendon Book Review: \booktitleNonequilibrium
Condensation in High-Speed Gas Flows
(Yuri A. Ryzhov, Ul'yan G. Pirumov, and
Vladimir N. Gorbunov; V. A.
Khokhrayakov, trans.) . . . . . . . . . 159--160
Andrew Vogt Book Review: \booktitleAn Introduction
to Hilbert Space and Quantum Logic
(David W. Cohen) . . . . . . . . . . . . 160--161
Andrew Vogt An Introduction to Hilbert Space and
Quantum Logic (David W Cohen) . . . . . 160
William O. Williams Book Review: \booktitleContinua with
Microstructure (Gianfranco Capriz) . . . 161--163
William O. Williams Continua with Microstructure (Gianfranco
Capiz) . . . . . . . . . . . . . . . . . 161
Anonymous New Members . . . . . . . . . . . . . . 164--172
Anonymous Elected and Appointed Officials . . . . 173--173
Ravindra K. Ahuja and
Thomas L. Magnanti and
James B. Orlin Some Recent Advances in Network Flows 175--219
Richard E. Stone and
Craig A. Tovey The Simplex and Projective Scaling
Algorithms as Iteratively Reweighted
Least Squares Methods . . . . . . . . . 220--237
Henry Hermes Nilpotent and High-Order Approximations
of Vector Field Systems . . . . . . . . 238--264
Frank H. Mathis A Generalized Birthday Problem . . . . . 265--270
L. J. Gray Storage Tank Design . . . . . . . . . . 271--274
C. E. Carroll Variational Problem for Overlapping
Laser Pulses . . . . . . . . . . . . . . 275--276
Larry G. Blaine A Probability Integral . . . . . . . . . 276--276
Philip Korman An Upper Bound . . . . . . . . . . . . . 276--276
Frank Schmidt and
Rodica Simion Even Minus Odd Involutions in the
Symmetric Group . . . . . . . . . . . . 276--277
Ignace I. Kolodner Convexity for the Self-Circumference of
a Unit Disk . . . . . . . . . . . . . . 277--277
P. T. L. M. Hanau and
M. Eslami Optimization of a Stability Bound . . . 277--281
P. Th. L. M. van Woerkom and
P. Th. L. M. Hanau and
Mansour Eslami Book Review: \booktitleOptimization of a
Stability Bound (P. Th. L. M. van
Woerkom) . . . . . . . . . . . . . . . . 277--281
A. A. Jagers and
E. A. van Doorn Convexity of Functions Which are
Generalizations of the Erlang Loss
Function and the Erlang Delay Function 281--282
Anonymous Quickie . . . . . . . . . . . . . . . . 283--283
Hassan Aref Book Review: \booktitleLindenmayer
Systems, Fractals, and Plants
(Przemyslaw Prusinkiewicz and James
Hanan) . . . . . . . . . . . . . . . . . 284--285
Hassan Aref Lindenmayer Systems, Fractals, and
Plants (Przemyslaw Prusinkiewicz and
James Hanan) . . . . . . . . . . . . . . 284
K. A. Ariyawansa Book Review: \booktitleABS Projection
Algorithms: Mathematical Techniques for
Linear and Nonlinear Equations (Jozsef
Abaffy and Emilio Spedicato) . . . . . . 285--286
K. A. Ariyawansa ABS Projection Algorithms: Mathematical
Techniques for Linear and Nonlinear
Equations (Jozsef Abaffy and Emilio
Spedicato) . . . . . . . . . . . . . . . 285
George A. Barnard Book Review: \booktitleA History of
Probability and Statistics: And Their
Applications before 1750 (Anders Hald) 286--290
George A. Barnard A History of Probability and Statistics:
And Their Applications Before 1750
(Anders Hald) . . . . . . . . . . . . . 286
Johann Baumeister Book Review: \booktitleAdaptive Control
and Identification: Conflict or Conflux?
(J. W. Polderman) . . . . . . . . . . . 290--291
Kenneth N. Berk Book Review: \booktitleFundamentals of
Mathematical Statistics (H. T. Nguyen
and G. S. Rogers) . . . . . . . . . . . 291--292
Anthony M. Bloch Book Review: \booktitleNonlinear
Dynamical Control Systems (H. Nijmeijer
and A. J. van der Schaft) . . . . . . . 292--294
George Bluman Book Review: \booktitleNonlinear
Boundary Value Problems in Science and
Engineering (C. Rogers and W. F. Ames) 294--296
Vladimir G. Boltyanski Book Review: \booktitleGames, Set, &
Math: Enigmas and Conundrums (Ian
Stewart) . . . . . . . . . . . . . . . . 296--297
Vladimir G. Boltyanski Games, Set, and Math: Enigmas and
Conundrums (Ian Stewart) . . . . . . . . 296
Vladimir G. Boltyanski Book Review: \booktitleHow Does One Cut
a Triangle? (Alexander Soifer) . . . . . 297--299
Vladimir G. Boltyanski How Does One Cut a Triangle? (Alexander
Soifer) . . . . . . . . . . . . . . . . 297
Guy Bouchitte Book Review: \booktitleDirect Methods in
the Calculus of Variations (B.
Dacorogna) . . . . . . . . . . . . . . . 299--300
Jon H. Davis Book Review: \booktitleNonnegative
Matrices in Dynamic Systems (Abraham
Berman, Michael Neumann, and Donald J.
Stern) . . . . . . . . . . . . . . . . . 300--301
Tony DeRose Book Review: \booktitleCurves and
Surfaces for Computer Aided Geometric
Design: a Practical Guide (Gerald Farin) 301--302
Tony DeRose Curves and Surfaces for Computer Aided
Geometric Design: a Practical Guide
(Gerald Farin) . . . . . . . . . . . . . 301
Joseph Duffy Book Review: \booktitleIntroduction to
Theoretical Kinematics (J. M. McCarthy) 302--302
Dilip N. Ghosh Roy Book Review: \booktitleInverse Problems
in Quantum Scattering Theory (K. Chadan
and P. C. Sabatier) . . . . . . . . . . 302--306
Andrew V. Goldberg and
Dan Gusfield Book Review: \booktitlePotokovije
Algoritmij (Flow Algorithms) (G. M.
Adel'son-Vel'ski, E. A. Dinits, and A.
V. Karzanov) . . . . . . . . . . . . . . 306--314
Timothy J. Healey Book Review: \booktitleSingularity
Theory, Rod Theory and Symmetry-Breaking
Loads (John F. Pierce) . . . . . . . . . 314--315
K. Hutter Book Review: \booktitleElectrodynamics
of Continua (A. Cemal Eringen and Gerard
A. Maugin) . . . . . . . . . . . . . . . 315--320
Fei-Fei Jin Book Review: \booktitleVacillation and
Predictability Properties of Low-Order
Atmospheric Spectral Models (H. E.
deSwart) . . . . . . . . . . . . . . . . 320--321
Nicholas D. Kazarinoff Book Review: \booktitleJoseph Liouville
1809-1882: Master of Pure and Applied
Mathematics (Jesper Lützen) . . . . . . . 321--323
W. Kern Book Review: \booktitleSimulated
Annealing and Boltzmann Machines: a
Stochastic Approach to Combinatorial
Optimization and Neural Computing (Emile
Aarts and Jan Korst) . . . . . . . . . . 323--323
Mukkai S. Krishnamoorthy Book Review: \booktitleThe Stable
Marriage Problem: Structure and
Algorithms (Dan Gusfield and Robert W.
Irving) . . . . . . . . . . . . . . . . 323--324
W. Kern Simulated Annealing and Boltzmann
Machines: a Stochastic Approach to
Combinatorial Optimization and Neural
Computing (Emile Aarts and Jan Korst) 323
Alan C. Lazer Book Review: \booktitleCritical Point
Theory and Hamiltonian Systems (Jean
Mawhin and Michel Willem) . . . . . . . 324--327
Alan C. Lazer Critical Point Theory and Hamiltonian
Systems (Jean Mawhin and Michel Willem) 324
Herbert E. Lindberg Book Review: \booktitleDynamic Stability
of Suddenly Loaded Structures (George J.
Simitses) . . . . . . . . . . . . . . . 327--328
Herbert E. Lindberg Dynamic Stability of Suddenly Loaded
Structures (George J Simitses) . . . . . 327
R. S. MacKay Book Review: \booktitleChaotic Evolution
and Strange Attractors: The Statistical
Analysis of Time Series for
Deterministic Nonlinear Systems (David
Ruelle) . . . . . . . . . . . . . . . . 328--329
R. S. MacKay Chaotic Evolution and Strange
Attractors: The Statistical Analysis of
Time Series for Deterministic Nonlinear
Systems (David Ruelle) . . . . . . . . . 328
J. H. McCabe Book Review: \booktitleContinued
Fractions in Statistical Applications
(K. O. Bowman and L. R. Shenton) . . . . 329--330
Peter J. Olver Book Review: \booktitleDifferential
Equations: Their Solution Using
Symmetries (Hans Stephani) (Malcolm
MacCallum, ed.) . . . . . . . . . . . . 330--332
Peter J. Olver Differential Equations: Their Solution
Using Symmetries (Hans Stephani) . . . . 330
Philip Protter Book Review: \booktitleLimit Theorems
for Stochastic Processes (J. Jacod and A
. N. Shiryaev) . . . . . . . . . . . . . 332--333
Anand Rangarajan Book Review: \booktitleVisual
Reconstruction (Andrew Blake and Andrew
Zisserman) . . . . . . . . . . . . . . . 333--334
Anand Rangarajan Visual Reconstruction (Andrew Blake and
Andrew Zisserman) . . . . . . . . . . . 333
Clark Robinson Book Review: \booktitleChaotic Dynamics
of Nonlinear Systems (S. Neil Rasband) 334--335
John B. Rundle Book Review: \booktitlePrinciples of
Earthquake Source Mechanics (B. V.
Kostrov and Shamita Das) . . . . . . . . 335--337
Alwyn Scott Book Review: \booktitleAsymptotic
Analysis of a Class of Perturbed
Korteweg--de Vries Initial Value
Problems (F. DeKerf) . . . . . . . . . . 337--338
Alwyn Scott Book Review: \booktitleAsymptotic
Analysis of a Class of Perturbed
Korteweg--de Vries Initial Value
Problems (F. DeKerf) . . . . . . . . . . 337
Joel A. Smoller Book Review: \booktitleThe Analysis of
Linear Partial Differential Operators, I
(Lars Hörmander) . . . . . . . . . . . . 338--338
Yieh-Hei Wan Book Review: \booktitleThe Hyperbolic
Map and Applications to the Linear
Quadratic Regulator (B. J. Daiuto, T. T.
Hartley, and S. P. Chicatelli) . . . . . 338--338
S. Zlobec Book Review: \booktitle2-Inverses and
Their Statistical Application (Albert J.
Getson and Francis C. Hsuan) . . . . . . 338--340
Joel A. Smoller The Analysis of Linear Partial
Differential Operators, I (Lars
Hormander) . . . . . . . . . . . . . . . 338
Anonymous New Members . . . . . . . . . . . . . . 341--348
Andrew J. Majda Vorticity, Turbulence, and Acoustics in
Fluid Flow . . . . . . . . . . . . . . . 349--388
David H. Bailey and
Paul N. Swarztrauber The Fractional Fourier Transform and
Applications . . . . . . . . . . . . . . 389--404
Victor Eijkhout and
Panayot Vassilevski The role of the strengthened
Cauchy--Buniakowski\u\i--Schwarz
inequality in multilevel methods . . . . 405--419
Michael T. Heath and
Esmond Ng and
Barry W. Peyton Parallel Algorithms for Sparse Linear
Systems . . . . . . . . . . . . . . . . 420--460
R. E. Stone Correction . . . . . . . . . . . . . . . 461--461
Richard E. Stone and
Craig A. Tovey Erratum: ``The simplex and projective
scaling algorithms as iteratively
reweighted least squares methods'' . . . 461--461
John A. Adam Activator Inhibitor Control of Tissue
Growth . . . . . . . . . . . . . . . . . 462--466
C. R. MacCluer and
Yossi Chait Choosing an Inner Product That Separates
Variables . . . . . . . . . . . . . . . 467--471
M. L. Glasser Exponentials of Certain Hilbert Space
Operators . . . . . . . . . . . . . . . 472--472
Peter Thejll Linear System with Positive Solutions 472--473
Barry Newberger An Infinite Integral . . . . . . . . . . 473--473
H.-J. Seiffert An Inequality for a Family of Means . . 473--473
M. S. Klamkin Point of Minimum Temperature . . . . . . 474--474
J. Boersma Two Integrals Arising from a Cloud Model 474--477
Johannes Verlinde and
J. Boersma and
P. J. de Doelder Book Review: \booktitleTwo Integrals
Arising from a Cloud Model (Johannes
Verlinde) . . . . . . . . . . . . . . . 474--477
C. C. Grosjean and
H. de Meyer and
Alan Gibbs and
Michael Renardy Book Review: \booktitleA Two-Point
Boundary Problem for Airy Functions
(Richard B. Evans) . . . . . . . . . . . 477--479
C. C. Grosjean A Two-Point Boundary Problem for Airy
Functions . . . . . . . . . . . . . . . 477--479
H. O. L. Hollman Elements of Maximum Order in a Matrix
Group . . . . . . . . . . . . . . . . . 479--481
Henk D. L. Hollmann Book Review: \booktitleElements of
Maximum Order in a Matrix Group
(Lih-Yuan Deng) . . . . . . . . . . . . 479--481
C. C. Rousseau Book Review: \booktitleA
Multidimensional Integral (Gaoyuan Wei) 481--483
Anonymous Late Solutions . . . . . . . . . . . . . 483--483
Anonymous Quickie . . . . . . . . . . . . . . . . 483--483
J. W. Dold Book Review: \booktitleMathematical
Problems from Combustion Theory (Jerrold
Bebernes and David Eberly) . . . . . . . 484--486
J. W. Dold Mathematical Problems from Combustion
Theory (Jerrold Bebernes and David
Eberly) . . . . . . . . . . . . . . . . 484
Donald Ludwig Book Review: \booktitleEstimation
Techniques for Distributed Parameter
Systems (H. T. Banks and K. Kunisch) . . 486--487
R. Creighton Buck Book Review: \booktitleModern
Cryptology: a Tutorial (Gilles Brassard) 487--489
R. Creighton Buck Modern Cryptology: a Tutorial (Gilles
Brassard) . . . . . . . . . . . . . . . 487
Xiaosong Liu Book Review: \booktitleIntegral
Manifolds and Inertial Manifolds for
Dissipative Partial Differential
Equations (P. Constantin, C. Foias, B.
Nicolaenko, and R. Temam) . . . . . . . 489--489
Jet Wimp Book Review: \booktitleBasic
Hypergeometric Series (George Gasper and
Mizan Rahman) . . . . . . . . . . . . . 489--493
Jet Wimp Basic Hypergeometric Series (George
Gasper and Mizan Rahman) . . . . . . . . 489
Nicholas D. Kazarinoff Book Review: \booktitleHuygens and
Barrow, Newton and Hooke: Pioneers in
Mathematical Analysis and Catastrophe
Theory from Evolvents to Quasicrystals
(V. I. Arnol'd; trans. by Eric J. F.
Primrose) . . . . . . . . . . . . . . . 493--495
Brian Coomes Book Review: \booktitleMultiphase
Averaging for Classical Systems: With
Applications to Adiabatic Theorems (P.
Lochak and C. Meunier; trans. by H. S.
Dumas) . . . . . . . . . . . . . . . . . 495--496
I. J. Good Book Review: \booktitleThe Science of
Fractal Images (Heinz-Otto Peitgen and
Dietmar Saupe, eds.) . . . . . . . . . . 496--499
Vilmos Totik Book Review: \booktitleThe Averaged
Moduli of Smoothness: With Applications
in Numerical Methods and Approximation
(Blagovest Sendov and Vasil A. Popov;
trans. ed., G. M. Phillips) . . . . . . 499--501
Kurt Jetter Book Review: \booktitleApproximation by
Spline Functions (Günther Nürnberger) . . 501--502
Larry L. Schumaker Book Review: \booktitleSpline Models for
Observational Data (Grace Wahba) . . . . 502--502
Zvi Artstein Book Review: \booktitleOptimization and
Stability Theory for Economic Analysis
(Brian Beavis and Ian Dobbs) . . . . . . 502--503
Zvi Artstein Optimization and Stability Theory for
Economic Analysis (Brian Beavis and Ian
Dobbs) . . . . . . . . . . . . . . . . . 502
Larry L. Schumaker Spline Models for Observational Data
(Grace Wahba) . . . . . . . . . . . . . 502
P. L. Antonelli Book Review: \booktitlePlant and Crop
Modelling (John H. M. Thornley and Ian
R. Johnson) . . . . . . . . . . . . . . 503--504
Stephen L. Campbell Book Review: \booktitleThe Numerical
Solution of Differential-Algebraic
Systems by Runge--Kutta Methods (Ernst
Hairer, Christian Lubich, and Michel
Roche) . . . . . . . . . . . . . . . . . 504--506
Stephen L. Campbell The Numerical Solution of
Differential-Algebraic Systems by
Runge--Kutta Methods (Ernst Hairer,
Christian Lubich, and Michel Roche) . . 504
E. Bruce Pitman Book Review: \booktitleNumerical Methods
for Conservation Laws (Randall J.
LeVeque) . . . . . . . . . . . . . . . . 506--507
David G. Boulware Book Review: \booktitleAspects of
Quantum Field Theory in Curved
Space-Time (S. A. Fulling) . . . . . . . 508--508
Arthur S. Wightman Book Review: \booktitleFinite Quantum
Electrodynamics (G. Scharf) . . . . . . 508--509
J. Dimock Book Review: \booktitleFunctional
Analysis: an Introduction for Physicists
(Nino Boccara) . . . . . . . . . . . . . 509--510
J. Dimock Functional Analysis: An Introduction for
Physicists (Nino Boccara) . . . . . . . 509
George A. Baker, Jr. Book Review: \booktitleMathematical
Foundations of Classical Statistical
Mechanics: Continuous Systems (D. Ya.
Petrina, V. I. Gerasimenko, and P. V.
Malyshev; trans. by P. V. Malyshev and
D. V. Malyshev) . . . . . . . . . . . . 510--510
W. Lord Book Review: \booktitleTopics in
Boundary Element Research. Vol. 6:
Electromagnetic Applications (C. A.
Brebbia, ed.) . . . . . . . . . . . . . 510--511
Jeffrey L. Stuart Book Review: \booktitleMatrix Theory and
Applications (Charles R. Johnson, ed.) 511--512
Anonymous New Members . . . . . . . . . . . . . . 513--518
M. Asch and
W. Kohler and
G. Papanicolaou and
M. Postel and
B. White Frequency Content of Randomly Scattered
Signals . . . . . . . . . . . . . . . . 519--625
James Glimm Nonlinear and Stochastic Phenomena: The
Grand Challenge for Partial Differential
Equations . . . . . . . . . . . . . . . 626--643
W. O. Criminale and
T. F. Mar The Electric Bell as a Nonlinear
Oscillator . . . . . . . . . . . . . . . 644--649
Hassan Sedaghat Measuring the Speed and Altitude of an
Aircraft Using Similar Triangles . . . . 650--654
B. C. Carlson and
M. Vuorinen Inequality of the AGM and the
Logarithmic Mean . . . . . . . . . . . . 655--655
D. J. Newman An Affirmative Action Graph . . . . . . 655--655
John Melville A Linear Integro-Differential Equation 655--656
B. Bertram and
O. G. Ruehr A Finite Part Integral . . . . . . . . . 656--656
M. L. Glasser and
J. Koplowitz Approximation for the Location of the
Center of a Disk . . . . . . . . . . . . 657--657
Wolfgang Berndt Book Review: \booktitleSimultaneous
Functional Equations (Paul Schweitzer) 657--658
W. Berndt Simultaneous Functional Equations . . . 657--658
Ken Lever Exponentially Windowed Estimates of a
Periodically Sampled Time-Series, and
Its First and Second Derivatives Using
Quadratic Regression . . . . . . . . . . 658--661
William C. Waterhouse Book Review: \booktitleOrthogonal
Matrices and the Matrix Exponential
(Dennis S. Bernstein) . . . . . . . . . 661--662
W. C. Waterhouse Orthogonal Matrices and the Matrix
Exponential . . . . . . . . . . . . . . 661--662
Peter Braunfeld Book Review: \booktitleThe Mathematics
of Great Amateurs (Julian Lowell
Coolidge) . . . . . . . . . . . . . . . 663--664
Peter Braunfeld The Mathematics of Great Amateurs
(Julian Lowell Coolidge) . . . . . . . . 663
Kenneth R. Meyer Book Review: \booktitleAn Introduction
to Dynamical Systems (D. K. Arrowsmith
and C. M. Place) . . . . . . . . . . . . 664--664
John S. Maybee Book Review: \booktitlePearls in Graph
Theory: a Comprehensive Introduction (N.
Hartsfield and G. Ringel) . . . . . . . 664--665
R. S. MacKay Book Review: \booktitleChaos in Systems
with Noise (Tomasz Kapitaniak) . . . . . 666--666
Peter J. Bryant Book Review: \booktitleChaotic Dynamics:
an Introduction (Gregory Baker and Jerry
Gollub) . . . . . . . . . . . . . . . . 666--668
Peter J. Bryant Chaotic Dynamics: An Introduction
(Gregory Baker and Jerry Gollub) . . . . 666
R. S. MacKay Chaos in Systems with Noise (Tomasz
Kapitaniak) . . . . . . . . . . . . . . 666
Robert L. Devaney Book Review: \booktitleMeasure,
Topology, and Fractal Geometry (Gerald
A. Edgar) . . . . . . . . . . . . . . . 668--669
Robert W. Easton Book Review: \booktitleOrdinary
Differential Equations: An Introduction
to Nonlinear Analysis (Herbert Amann;
Gerhard Metzen, trans.) . . . . . . . . 669--670
Roger Waxler Book Review: \booktitleA Course in
Mathematics for Students of Physics.
Volume 2 (Paul Bamberg and Shlomo
Sternberg) . . . . . . . . . . . . . . . 670--671
Roger Waxler A Course in Mathematics for Students of
Physics, Vol. 2 (Paul Bamberg and Shlomo
Sternberg) . . . . . . . . . . . . . . . 670
Tze Leung Lai Book Review: \booktitleOptimization of
Stochastic Systems: Topics in
Discrete-Time Dynamics (Masanao Aoki) 671--672
Leung Lai Tze Optimization of Stochastic Systems:
Topics in Discrete-Time Dynamics
(Masanao Aoki) . . . . . . . . . . . . . 671
Huijun Yang Book Review: \booktitleAsymptotic
Modeling of Atmospheric Flows (R.
Zeytounian) . . . . . . . . . . . . . . 672--673
James Glimm Book Review: \booktitleThe Physics of
Fluid Turbulence (W. D. McComb) . . . . 673--674
Jorge Pullin Book Review: \booktitleGeneral
Relativity. An Introduction to the
Theory of the Gravitational Field (Hans
Stephani; Martin Pollock and John
Stewart, trans.; John Stewart, ed.) . . 674--675
Romesh Saigal Book Review: \booktitleNumerical
Continuation Methods, An Introduction
(Eugene Allgower and Kurt Georg) . . . . 675--675
Carl L. Gardner Book Review: \booktitleSemiconductor
Equations (P. A. Markowich, C. A.
Ringhofer, and C. Schmeiser) . . . . . . 675--677
Romesh Saigal Numerical Continuation Methods, An
Introduction (Eugene Allgower and Kurt
Georg) . . . . . . . . . . . . . . . . . 675
Melvin J. Hinich Book Review: \booktitleStatistical
Spectral Analysis: a Nonprobabilistic
Theory (William A. Gardner) . . . . . . 677--678
Joseph Duffy Book Review: \booktitleKinematic
Geometry of Mechanisms (K. H. Hunt) . . 678--679
W. R. Spillers Book Review: \booktitleAn Introduction
to the History of Structural Mechanics,
Part I: Statics and Resistance of
Solids, Part II: Vaulted Structures and
Elastic Systems (Edoardo Benvenuto) . . 679--680
W. R. Spillers An Introduction to the History of
Structural Mechanics Part I: Statics and
Resistance of Solids, Part II: Vaulted
Structures and Elastic Systems (Edoardo
Benvenuto) . . . . . . . . . . . . . . . 679
Alan Weiser Book Review: \booktitleMultilevel
Adaptive Methods for Partial
Differential Equations (Stephen F.
McCormick) . . . . . . . . . . . . . . . 680--681
Arthur Sherman Book Review: \booktitleMathematical
Modelling. A Tool for Problem Solving in
Engineering, Physical, Biological and
Social Sciences (D. N. P. Murthy, N. W.
Page, and E. Y. Rodin) . . . . . . . . . 681--682
Joseph W. Jerome Book Review: \booktitleElectro-Diffusion
of Ions (Isaak Rubinstein) . . . . . . . 682--684
Joseph W. Jerome Electro-Diffusion of Ions (Isaak
Rubinstein) . . . . . . . . . . . . . . 682
Faiz Al-Khayyal and
Panos Pardalos Book Review: \booktitleNew Computer
Methods for Global Optimization (H.
Ratschek and J. Rokne) . . . . . . . . . 684--686
Gerhard Hübner Book Review: \booktitleAdaptive Markov
Control Processes (D. Hernandez-Lerma) 686--687
Philip M. Dixon Book Review: \booktitleParameter
Estimation in Ecology: The Link between
Data and Models (O. Richter and D.
Söndgerath) . . . . . . . . . . . . . . . 687--688
Matti Ruohonen Book Review: \booktitleAspects of Risk
Theory (Jan Grandell) . . . . . . . . . 688--689
Matti Ruohonen Aspects of Risk Theory (Jan Grandell) 688
Anonymous New Members . . . . . . . . . . . . . . 690--692
Anonymous Report of the Treasurer for the Year
Ended December 31, 1990 . . . . . . . . 693--694
James P. Keener and
John J. Tyson The Dynamics of Scroll Waves in
Excitable Media . . . . . . . . . . . . 1--39
P. L. Butzer and
R. L. Stens Sampling Theory for Not Necessarily
Band-Limited Functions: a Historical
Overview . . . . . . . . . . . . . . . . 40--53
Qiang Du and
Max D. Gunzburger and
Janet S. Peterson Analysis and Approximation of the
Ginzburg--Landau Model of
Superconductivity . . . . . . . . . . . 54--81
Joseph W. H. Liu The Multifrontal Method for Sparse
Matrix Solution: Theory and Practice . . 82--109
John E. Angus Some Bounds on the Error in
Approximating Transition Probabilities
in Continuous-Time Markov Processes . . 110--113
M. Goldberg and
D. L. Powers A Machine-Tool Design . . . . . . . . . 114--117
Ahmed I. Zayed Existence of a Boundary-Value Problem
with Prescribed Eigenvalues . . . . . . 118--119
A. A. Jagers and
E. M. J. Hinessen A Definite Integral Arising in Ohmic
Dissipation . . . . . . . . . . . . . . 120--120
Andy Liu On Winning in the Game of Lotto . . . . 120--120
D. J. Newman Expected Type of Triangle . . . . . . . 120--120
M. S. Klamkin Extreme Gravitational Attraction . . . . 120--121
William. F. Ford Book Review: \booktitleA Third-Order
Differential Equation (M. A. Abdelkader) 121--122
W. F. Ford and
C. C. Grosjean and
H. Demeyer and
W. B. Jordan and
A. C. King and
A. D. Osborne and
J. E. Wilkins A 3rd-Order Differential-Equation . . . 121--122
Peter Wagner Book Review: \booktitleLimit of a
Definite Integral (C. A. Oster) . . . . 122--123
P. Wagner and
A. Gibbs and
N. L. Glasser and
C. C. Grosjean and
W. B. Jordan and
N. Ortner and
D. Pickett and
M. Renardy and
P. Svobodny and
J. A. Wilson Limit of a Definite Integral . . . . . . 122--123
James A. Wilson Book Review: \booktitleAn Identity for
Sums of Binomial Coefficients (Masaaki
Sibuya) . . . . . . . . . . . . . . . . 123--126
J. A. Wilson and
C. C. Grosjean and
O. P. Lossers and
M. Stamp An Identity for Sums of Binomial
Coefficients . . . . . . . . . . . . . . 123--126
Anonymous Book Review: \booktitleA Definite
Integral Arising in Ohmic Dissipation
(Quickie) . . . . . . . . . . . . . . . 126--126
Anonymous Errata . . . . . . . . . . . . . . . . . 126--126
V. Hnizdo Correction . . . . . . . . . . . . . . . 126--126
Reuben Hersh In Memoriam: Nicholas D. Kazarinoff . . 127--127
R. Hersh Nicholas D. Kazarinoff --- in Memoriam 127--127
Alejandro Uribe Book Review:
\booktitlePseudo-Differential Operators
(S. R. Simanca) . . . . . . . . . . . . 128--129
S. P. Hastings Book Review: \booktitleDifferential
Equations and Dynamical Systems
(Lawrence Perko) . . . . . . . . . . . . 129--131
S. P. Hastings Differential Equations and Dynamical
Systems (Lawrence Perko) . . . . . . . . 129
Chunqing Lu Book Review:
\booktitleReaction-Diffusion Equations.
(K. J. Brown and A. A. Lacey, eds.) . . 131--132
Lu Chunqing Book Review:
\booktitleReaction-Diffusion Equations
(K. J. Brown and A. A. Lacey, eds.) . . 131
D. Kershaw Book Review: \booktitleMathematical
Analysis and Numerical Methods for
Science and Technology Vol. 4. Integral
Equations and Numerical Methods for
Science and Technology (Robert Dautray
and Jacques-Louis Lions) (John C. Amson
translator) . . . . . . . . . . . . . . 132--134
Stuart S. Antman Book Review: \booktitleMechanics: From
Newton's Laws to Deterministic Chaos
(Florian Scheck) . . . . . . . . . . . . 135--137
Stuart S. Antman Mechanics: From Newton's Laws to
Deterministic Chaos (Florian Scheck) . . 135
Guizhang Tu Book Review: \booktitleIntegrable
Systems of Classical Mechanics and Lie
Algebras. Vol. I (A. M. Perelomov; A. G.
Reyman, trans.) . . . . . . . . . . . . 137--138
Tu Guizhang Book Review: \booktitleIntegrable
Systems of Classical Mechanics and Lie
Algebras, Vol. I (A. M. Perelomov; A. G.
Reyman, trans.) . . . . . . . . . . . . 137
Allen C. Pipkin Book Review: \booktitleFluid of Dynamics
of Viscoelastic Liquids (D. D. Joseph) 138--138
Russel Caflisch Book Review: \booktitleTwo Phase Flows
and Waves (Daniel D. Joseph and David G
Schaeffer, eds.) . . . . . . . . . . . . 138--140
J. C. Butcher Book Review: \booktitleDifference
Equations from Differential Equations
(W. J. Lick) . . . . . . . . . . . . . . 140--140
Ellis Cumberbatch Book Review: \booktitleA Concrete
Approach to Mathematical Modelling
(Michael Mesterton-Gibbons) . . . . . . 140--141
Ellis Cumberbatch A Concrete Approach to Mathematical
Modelling (Michael Mesterton-Gibbons) 140
Percy Deift Book Review: \booktitleDirect and
Inverse Problems: Potentials in Quantum
Scattering (Boris Zakhariev and Allina
Suzko; G. Pontecorvo, trans.) . . . . . 141--142
R. E. O'Malley, Jr. Book Review: \booktitleSingular
Perturbations I. Spaces and Singular
Perturbations on Manifolds without
Boundaries (L. S. Frank) . . . . . . . . 142--142
Peter L. Antonelli Book Review: \booktitleThe Algorithmic
Beauty of Plants (Przemyslaw
Prusinkiewicz and Aristid Lindenmayer) 142--143
Peter L. Antonelli The Algorithmic Beauty of Plants
(Przemyslaw Prusinkiewicz and Aristid
Lindenmayer) . . . . . . . . . . . . . . 142
K. Sikorski Book Review: \booktitleHandbook of
Numerical Analysis. Vol. 1: Finite
Difference Methods (Part 1) and Solution
of Equations in $ R^n $ (Part 1) (P. G.
Ciarlet and J L. Lions, eds.) . . . . . 143--146
Rick Durrett Book Review: \booktitleProbability
Metrics and the Stability of Stochastic
Models (Sveltozar T. Rachev) . . . . . . 147--147
Emanuel Parzen Book Review: \booktitleA Statistical
Model: Frederick Mosteller's
Contributions to Statistics, Science,
and Public Policy (S. E. Fienberg, D. C.
Hoaglin, W. H. Kruskal, and J. M. Tanur,
eds.) . . . . . . . . . . . . . . . . . 147--147
M. Luisa N. McAllister Book Review: \booktitlePossibility
Theory: an Approach to Computerized
Processing of Uncertainty (Didier Dubois
and Henri Prade, with the collaboration
of Henri Farreny, Roger Martin-Clouaire,
and Claudette Testemale; E. F. Handing,
trans.) . . . . . . . . . . . . . . . . 147--148
John W. Woods Book Review: \booktitleRandom Signals
and Systems (Richard E. Mortensen) . . . 148--149
Jaroslav Stark Book Review: \booktitleNon-linear
Series: a Dynamical System Approach
(Howell Tong) . . . . . . . . . . . . . 149--151
Jaroslav Stark Non-Linear Series: a Dynamical System
Approach (Howell Tong) . . . . . . . . . 149
Bryan Ellickson Book Review: \booktitleThe Econometric
Analysis of Transition Data (Tony
Lancaster) . . . . . . . . . . . . . . . 151--152
Bryan Ellickson The Econometric Analysis of Transition
Data (Tony Lancaster) . . . . . . . . . 151
Zvi Artstein Book Review: \booktitleExistence and
Optimality of Competitive Equilibria
(Charalambos Aliprantis, Donald Brown,
and Owen Burkinshaw) . . . . . . . . . . 152--153
Zvi Artstein Existence and Optimality of Competitive
Equilibria (Charalambos Aliprantis,
Donald Brown, and Owen Burkinshaw) . . . 152
Grace L. Yang Book Review: \booktitleStochastic
Processes in Epidemic Theory (J.-P.
Gabriel, C. Léfvre and P. Picard, eds.) 153--155
Emanuel Parzen Book Review: \booktitleForecasting,
Structural Time Series and the Kalman
Filter (Andrew C. Harvey) . . . . . . . 155--156
William P. Coleman Book Review: \booktitleNonlinear
Estimation (Gavin J. S. Ross) . . . . . 156--157
Kenneth N. Berk Book Review: \booktitleRegression
Analysis (Ashish Sen and Muni
Srivastava) . . . . . . . . . . . . . . 157--158
Nicholas D. Kazarinoff Book Review: \booktitleIBM's 360 and
Early 370 Systems (Emerson W. Pugh, Lyle
R. Johnson, and John H. Palmer) . . . . 158--158
Philippe G. Ciarlet Book Review: \booktitleAuthor's reply to
the review of Introduction to Numerical
Linear Algebra and Optimisation (P. G.
Ciarlet) . . . . . . . . . . . . . . . . 159--159
John Nash The Reviewer's Response to Ciarlet's
Reply . . . . . . . . . . . . . . . . . 159--159
P. G. Ciarlet Author's reply to the review of
Introduction to Numerical Linear Algebra
and Optimization . . . . . . . . . . . . 159
Anonymous New Members . . . . . . . . . . . . . . 160--165
Anonymous Elected and Appointed Officials . . . . 166--166
Clovis C. Gonzaga Path-Following Methods for Linear
Programming . . . . . . . . . . . . . . 167--224
Victor Pan Complexity of Computations with Matrices
and Polynomials . . . . . . . . . . . . 225--262
Asen Dontchev and
Frank Lempio Difference Methods for Differential
Inclusions: a Survey . . . . . . . . . . 263--294
Frank Morgan Calculus, Planets, and General
Relativity . . . . . . . . . . . . . . . 295--299
David Tudor Modeling the Effect of Public Health
Campaigns on the Spread of Aids . . . . 300--303
John E. Angus An Alternative Derivation of Asymptotic
Normality for Sample Quantiles . . . . . 304--306
J. O. Fellman Maximum Value of a Shear Stress . . . . 307--307
C. C. Grosjean Three Infinite Sums . . . . . . . . . . 307--308
Paul Erd\Hos An Extremal Problem . . . . . . . . . . 308--308
K. S. Murray A Set of Maxima Problems . . . . . . . . 308--308
Mark A. Pinsky Asymptotic Solution of the Telegraph
Equation . . . . . . . . . . . . . . . . 308--309
Paul Erd\Hos Book Review: \booktitleOptimum Multiple
Access Coding (D.B. Jevti\'c) . . . . . 309--310
P. Erd\Hos Optimum Multiple Access Coding . . . . . 309--310
D. Allwrigh Variational Problem for Overlapping
Laser Pulses . . . . . . . . . . . . . . 310--312
David Allwright Book Review: \booktitleVariational
Problem for Overlapping Laser Pulses (C.
E. Carroll) . . . . . . . . . . . . . . 310--312
A. R. Miller Book Review: \booktitleA Probability
Integral (Larry G. Blaine) . . . . . . . 312--315
Robert B. Israel Book Review: \booktitleEven Minus Odd
Involutions in the Symmetric Group
(Frank Schmidt and Rodica Simion) . . . 315--317
R. B. Israel Even Minus Odd Involutions in the
Symmetrical Group . . . . . . . . . . . 315--317
Ignace I. Kolodner Convexity for the Self Circumference of
a Unit Disk . . . . . . . . . . . . . . 317--323
Anonymous Book Review: \booktitleA Set of Maxima
Problems (Quickie) . . . . . . . . . . . 323--324
Kenneth N. Berk Book Review: \booktitleSubset Selection
in Regression (A. J. Miller) . . . . . . 325--326
Frederick J. Beutler Book Review: \booktitleComputer Networks
and Systems: Queueing Theory and
Performance Evaluation (Thomas G.
Robertazzi) . . . . . . . . . . . . . . 326--327
Alan K. Jones Book Review: \booktitleGeometric & Solid
Modeling: an Introduction (Christoph M.
Hoffman) . . . . . . . . . . . . . . . . 327--329
Alan K. Jones Geometric and Solid Modeling: An
Introduction (Christoph M Hoffman) . . . 327
Peter D. Scott Book Review: \booktitleMinimalist Mobile
Robotics. A Colony-Style Architecture
for an Artificial Creature (Jonathan H.
Connell) . . . . . . . . . . . . . . . . 329--330
George A. Baker, Jr. Book Review: \booktitleMathematical
Foundations of Classical Statistical
Mechanics: Continuous Systems (D. Ya.
Petrina, V. I. Gerasimenko, and P. V.
Malyshev) . . . . . . . . . . . . . . . 330--331
H. K. Cheng Book Review: \booktitleAirfoil Design
and Data (Richard Eppler) . . . . . . . 331--333
H. K. Cheng Airfoil Design and Data (Richard Eppler) 331
Robert L. Devaney Book Review: \booktitleFractals: An
Animated Discussion with Edward Lorenz
and Beno\^\it Mandelbrot (H.-O. Peitgen,
H. Jurgens, D. Saupe, and C. Zahlten) 333--335
J. H. B. Kemperman Book Review: \booktitleRandom Walk in
Random and Non-Random Environments (Pál
Revesz) . . . . . . . . . . . . . . . . 335--335
Murray S. Klamkin Book Review: \booktitleUnsolved Problems
in Intuitive Mathematics, Vol. II,
Unsolved Problems in Geometry (H. T.
Croft, K. J. Falconer, and R. K Guy) . . 335--338
J. H. B. Kemperman Random Walk in Random and Non-Random
Environments (Pal Revesz) . . . . . . . 335
Charles J. Mode Book Review: \booktitleRandom Number
Generators and Simulation, by Istvan
Deak . . . . . . . . . . . . . . . . . . 338--341
Roger Pinkham Book Review: \booktitleApplied
Nonparametric Regression (Wolf gang
Hardle) . . . . . . . . . . . . . . . . 341--342
Roger Pinkham Applied Nonparametric Regression
(Wolfgang Hardle) . . . . . . . . . . . 341
Daniel Port Book Review: \booktitleA Course in
Simulation (Sheldon M. Ross) . . . . . . 342--343
Tudor Ratiu Book Review: \booktitleConvexity Methods
in Hamiltonian Mechanics (Ivar Ekeland) 343--345
Tudor Ratiu Convexity Methods in Hamiltonian
Mechanics (Ivar Ekeland) . . . . . . . . 343
Matti Ruohonen Book Review: \booktitleEngineering
Risks: Evaluation and Valuation (Ulrich
Hauptmanns and Wolfgang Werner) . . . . 345--346
Matti Ruohonen Engineering Risks: Evaluation and
Valuation (Ulrich Hauptmanns and
Wolfgang Werner) . . . . . . . . . . . . 345
Lars B. Wahlbin Book Review: \booktitleNonlinear
Elliptic and Evolution Problems and
Their Finite Element Approximations (A.
\vZeni\vsek) . . . . . . . . . . . . . . 346--347
Donald B. White Book Review: \booktitleSampling of
Populations: Methods and Applications
(Paul Levy and Stanley Lemeshow) . . . . 347--349
Donald B. White Sampling of Populations: Methods and
Applications (Paul Levy and Stanley
Lemeshow) . . . . . . . . . . . . . . . 347
Anonymous New Members . . . . . . . . . . . . . . 350--359
Marc A. Berger Random Affine Iterated Function Systems:
Curve Generation and Wavelets . . . . . 361--385
Clark Jeffries A New Conservation Law for Classical
Electrodynamics . . . . . . . . . . . . 386--405
Rudolf Schmid Strings, Knots, and Quantum Groups: a
Glimpse at Three 1990 Fields Medalists 406--425
F. C. Hoppensteadt Signal Processing by Model Neural
Networks . . . . . . . . . . . . . . . . 426--444
O. Arino Some Spectral Properties for the
Asymptotic Behavior of Semigroups
Connected to Population Dynamics . . . . 445--476
Stephen P. Huestis Interpolation Formulas for Oversampled
Band-Limited Functions . . . . . . . . . 477--481
Brian J. McCartin An Alternative Analysis of Duffing's
Equation . . . . . . . . . . . . . . . . 482--491
Paul B. Massell A Quick Way to Prove the Existence of
Centers in Two-Dimensional Almost Linear
Systems . . . . . . . . . . . . . . . . 492--495
Malts Henkel On Alternating Multiple Sums . . . . . . 496--496
Mark Stamp Circular Binary Sequences . . . . . . . 496--497
Gerhard Metzen and
Cecil Rousseau A Family of Cubic Equations . . . . . . 497--497
D. B. Jevti\'c Optimum Disjoint Constant-Weight
Codebooks for Multiple-Access OR
Channels . . . . . . . . . . . . . . . . 497--498
M. A. Chaudhry and
S. M. Zubair Two Integrals Arising in Generalized
Inverse Gaussian Model and Heat
Conduction Problems . . . . . . . . . . 498--498
R. E. Terrell Book Review: \booktitleExponentials of
Certain Hilbert Space Operators (M. L.
Glasser) . . . . . . . . . . . . . . . . 498--500
Michael Renardy Book Review: \booktitleLinear System
with Positive Solutions (Peter Thejll) 500--502
M. Renardy Linear-System with Positive Solutions 500--502
A. A. Jagers Book Review: \booktitleAn Inequality for
a Family of Means (H.-J. Seiffert) . . . 502--502
Richard Askey Book Review: \booktitleHypergeometric
Functions and Their Applications (James
B. Seaborn) . . . . . . . . . . . . . . 503--503
Dimitri E. Beskos Book Review: \booktitleElastic Contact
Analysis by Boundary Elements (S.
Takahasi) . . . . . . . . . . . . . . . 503--504
Richard Askey Hypergeometric Functions and Their
Applications (James B Seaborn) . . . . . 503
C. Corduneanu Book Review: \booktitleFunctional
Differential Equations with Infinite
Delay (Y. Hino, S. Murakami, and
T.Naito) . . . . . . . . . . . . . . . . 504--506
L. C. A. Corsten Book Review: \booktitleStatistical
Methods: The Geometric Approach (David
J. Saville and Graham R. Wood) . . . . . 506--508
Wm. J. Firey Book Review: \booktitleGeometric Etudes
in Combinatorial Mathematics (Vladimir
G. Boltyanski and Alexander Soifer) . . 508--508
Ronald B. Guenther Book Review: \booktitleAugustin-Louis
Cauchy: a Biography (Bruno Belhoste;
Frank Ragland, transl.) . . . . . . . . 508--509
William J. Firey Geometric Etudes in Combinatorial
Mathematics (Vladimir G Boltyanski and
Alexander Soifer) . . . . . . . . . . . 508
Harry Hochstadt Book Review: \booktitleIntegral
Equations, A Practical Treatment, From
Spectral Theory to Applications (David
Porter and David S. G. Stirling) . . . . 509--511
D. S. Jones Book Review: \booktitleThe Scientific
Letters and Papers of James Clerk
Maxwell Volume 1: 1846--1862. (P. M.
Harman ed.) . . . . . . . . . . . . . . 511--513
Gearoid P. Mac Sithigh Book Review: \booktitleMathematical
Elasticity Volume One: Three-Dimensional
Elasticity (Phillipe G. Ciarlet) . . . . 513--514
Gearoid P. Mac Sithigh Book Review: \booktitleMathematical
Elasticity: Volume One:
Three-Dimensional Elasticity (Phillipe
G. Ciarlet) . . . . . . . . . . . . . . 513
J. Mecke Book Review: \booktitleFactorization
Calculus and Geometric Probability (R.
V. Ambartzumian) . . . . . . . . . . . . 514--514
Joseph O'Rourke Book Review: \booktitleMathematics in
Action (Stan Wagon) . . . . . . . . . . 515--516
Steven J. Pflederer Book Review: \booktitleNumerical
Control: Making a New Technology (J.
Francis Reintjes) . . . . . . . . . . . 517--517
Rainer Picard Book Review: \booktitleSingular
Electromagnetic Fields and Sources (J.
Van Bladel) . . . . . . . . . . . . . . 517--518
Tzvi Raz Book Review: \booktitleThe Art of
Computer Systems Performance Analysis:
Techniques for Experimental Design,
Measurement, Simulation, and Modeling
(Raj Jain) . . . . . . . . . . . . . . . 518--519
Tzvi Raz The Art of Computer Systems Performance
Analysis: Techniques for Experimental
Design, Measurement, Simulation, and
Modeling (Raj Jain) . . . . . . . . . . 518
Michael Wester Book Review: \booktitleMathematics: a
System for Doing Mathematics by
Computer, Second Edition (Stephen
Wolfram) . . . . . . . . . . . . . . . . 519--522
Anonymous New Members . . . . . . . . . . . . . . 523--527
S. J. Chapman and
S. D. Howison and
J. R. Ockendon Macroscopic Models for Superconductivity 529--560
Per Christian Hansen Analysis of discrete ill-posed problems
by means of the $ {L} $-curve . . . . . 561--580
Jinchao C. Xu Iterative Methods by Space Decomposition
and Subspace Correction . . . . . . . . 581--613
M. Hajmirzaahmad and
A. M. Krall Singular 2nd-Order Operators --- the
Maximal and Minimal Operators, and
Self-Adjoint Operators in Between . . . 614--634
Mojdeh Hajmirzaahmad and
Allan M. Krall Singular Second-Order Operators: The
Maximal and Minimal Operators, and
Self-adjoint Operators In Between . . . 614--634
Louise E. Moser Calculus and Probability Determine the
Performance of a Disk Drive . . . . . . 635--641
Stephen P. Huestis Smallest Nonnegative Solutions to Linear
Inverse Problems . . . . . . . . . . . . 642--647
A. J. E. M. Janssen and
J. B. M. Melissen An Unexpected Result in Classical
Electrostatics . . . . . . . . . . . . . 648--648
D. B. Jevti\'c Optimum Time to Empty a Random Access
FHMA System . . . . . . . . . . . . . . 648--649
C. C. Grosjean A Finite Sum of Products of Binomial
Coefficients . . . . . . . . . . . . . . 649--649
Johann Walter World Lines of Photons and
Distributional Solutions with Small
Support of the Homogeneous Wave Equation 649--649
P. R. Graves-Morris A Determinant Identity . . . . . . . . . 649--650
John Quinn Book Review: \booktitleA Center of
Gravity Perturbation (M. S. Klamkin) . . 650--652
J. Quinn A Center of Gravity Perturbation . . . . 650--652
H. J. Broersma and
A. Liu and
L. V. Saxton An Affirmative-Action Graph . . . . . . 652--653
H. J. Broersma and
H. J. Broersma and
Andy Liu and
L. V. Saxton Book Review: \booktitleAn Affirmative
Action Graph (D. J. Newman) . . . . . . 652--653
B. Braden and
B. Danloy and
F. Schmidt Inequality of the AGM and the
Logarithmic Mean . . . . . . . . . . . . 653--654
John Todd and
Bill Braden and
Bernard Danloy and
Frank Schmidt Book Review: \booktitleInequality of the
AGM and the Logarithmic Mean (B. C.
Carlson and M. Vuorinen) . . . . . . . . 653--654
John Melville Book Review: \booktitleA Linear
Integro-Differential Equation (John
Melville) . . . . . . . . . . . . . . . 654--656
J. Melville A Linear Integrodifferential Equation 654--656
J. Boersma and
P. J. de Doelder Book Review: \booktitleA Finite Part
Integral (B. Bertram and O. G. Ruehr) 656--658
J. Boersma and
P. J. Dedoelder A Finite Part Integral . . . . . . . . . 656--658
H. L. Abbott Book Review: \booktitleApproximation for
the Location of the Center of a Disk (M.
L. Glasser and J. Koplowitz) . . . . . . 658--661
Brian Alspach Book Review: \booktitleAn Introduction
to Combinatorics (Alan Slomson) . . . . 662--662
Brian Alspach An Introduction to Combinatorics (Alan
Slomson) . . . . . . . . . . . . . . . . 662
David C. Arney Book Review: \booktitlePractical
Time-Stepping Schemes (W. L. Wood) . . . 663--663
Guanrong Chen Book Review: \booktitleLinear Controller
Design: Limits of Performance (Stephen
P. Boyd and Craig H. Barratt) . . . . . 663--665
Chen Guanrong Book Review: \booktitleLinear Controller
Design: Limits of Performance (Stephen P
Boyd and Craig H. Barratt) . . . . . . . 663
Luca Disci Book Review: \booktitleThe Riccati
Equation (S. Bittanti, A. J. Laub, and J
C. Willems) . . . . . . . . . . . . . . 665--666
Luca Dieci Book Review: \booktitleThe Riccati
Equation (S. Bittanti, A. J. Laub, and
J. C. Willems, eds.) . . . . . . . . . . 665
Richard T. Durrett Book Review: \booktitleIntersections of
Random Walks (Gregory F. Lawler) . . . . 666--666
Desmond J. Higham Book Review: \booktitleOrder Stars (A.
Iserles and S. P. Nòrsett) . . . . . . . 666--668
Robert B. Kelman Book Review: \booktitleAlgorithms for
Discrete Fourier Transform and
Convolution (Richard Tolimieri, Myoung
An, and Chao Lu) . . . . . . . . . . . . 668--669
Robert B. Kelman Algorithms for Discrete Fourier
Transform and Convolution (Richard
Tolimieri, Myoung An, and Chao Lu) . . . 668
Lucien Le Cam Book Review: \booktitleComparison of
Statistical Experiments (Erik Torgersen) 669--671
Robert F. Ling Book Review: \booktitleApplied
Multivariate Data Analysis, Vol. I:
Regression and Experimental Design (J.
D. Jobson) . . . . . . . . . . . . . . . 671--673
François Loeser Book Review: \booktitleGeneralized
Hypergeometric Functions (Bernard Dwork) 673--675
François Loeser Generalized Hypergeometric Functions
(Bernard Dwork) . . . . . . . . . . . . 673
Jorma Louko Book Review: \booktitleAn Introduction
to General Relativity (L. P. Hughston
and K. P. Tod) . . . . . . . . . . . . . 675--675
Daniel F. McCaffrey Book Review: \booktitleGeneralized
Additive Models (T. J. Hastie and R. J.
Tibshirani) . . . . . . . . . . . . . . 675--678
Anthony N. Michel Book Review: \booktitleCode Recognition
and Set Selection with Neural Networks
(Clark Jeff fries) . . . . . . . . . . . 678--679
Anthony N. Michael Code Recognition and Set Selection with
Neural Networks (Clark Jeffries) . . . . 678
J. R. Ockendon Book Review: \booktitleMathematics in
Industrial Problems:Part 4 (Avner
Friedman) . . . . . . . . . . . . . . . 679--680
J. R. Ockendon Mathematics in Industrial Problems: Part
4 (Avner Friedman) . . . . . . . . . . . 679
Clark Robinson Book Review: \booktitleChaotic Behavior
of Deterministic Dissipative Systems
(Milos Marek and Igor Schreiber) . . . . 680--681
Clark Robinson Chaotic Behavior of Deterministic
Dissipative Systems (Milos Marek and
Igor Schreiber) . . . . . . . . . . . . 680
Richard Rochberg Book Review: \booktitleWavelets and
Singular Integrals on Curves and
Surfaces (Guy David) . . . . . . . . . . 681--682
Richard Rochberg Wavelets and Singular Integrals on
Curves and Surfaces (Guy David) . . . . 681
Emilio O. Roxin Book Review: \booktitleStability of
Functional Differential Equations (V. B.
Kolmanovskii and V. R. Nosov) . . . . . 682--684
Ramalingam Shanmugam Book Review: \booktitlePoint Processes
and Their Statistical Inference (Alan F.
Karr) . . . . . . . . . . . . . . . . . 684--684
B. D. Sleeman Book Review: \booktitleTwo Parameter
Eigenvalue Problems in Ordinary
Differential Equations (M. Faierman) . . 684--687
Ramalingam Shanmugam Point Processes and Their Statistical
Inference (Alan F Karr) . . . . . . . . 684
P. S. Symonds Book Review: \booktitleIntroduction to
Optimization of Structures (N. V.
Banichuk) . . . . . . . . . . . . . . . 687--689
Henry Warchall Book Review: \booktitleSolitons in
Physics, Mathematics, and Nonlinear
Optics (P. J. Olver and D. H. Sattinger,
eds.) . . . . . . . . . . . . . . . . . 689--691
Huseyin Küçak Natural Minimal Surfaces: Via Theory and
Computation With David Hoffman . . . . . 691--692
Huseyin Kocak Natural Minimal Surfaces: Via Theory and
Computation (with David Hoffman) . . . . 691
Anonymous New Members . . . . . . . . . . . . . . 693--696
Anonymous Report of the Treasurer For The Year
Ended December 31, 1991 . . . . . . . . 697--698
Sunetra Gupta and
Roy M. Anderson and
Robert M. May Mathematical Models and the Design of
Public Health Policy: HIV and Antiviral
Therapy . . . . . . . . . . . . . . . . 1--16
Nozer D. Singpurwalla and
Simon Wilson The Warranty Problem: Its Statistical
and Game Theoretic Aspects . . . . . . . 17--42
John A. Jacquez and
Carl P. Simon Qualitative Theory of Compartmental
Systems . . . . . . . . . . . . . . . . 43--79
James P. Keener The Perron--Frobenius Theorem and the
Ranking of Football Teams . . . . . . . 80--93
Jack W. Macki and
Paolo Nistri and
Pietro Zecca Mathematical Models for Hysteresis . . . 94--123
Joel E. Cohen Erratum: ``Subadditivity, generalized
products of random matrices and
operations research'' [SIAM Rev. \bf 30
(1988), no. 1, 69--86 and MR 89g:60300] 124--124
J. E. Cohen Subadditivity, Generalized Products of
Random Matrices and Operations Research
(Vol 30, Pg 69, 1988) . . . . . . . . . 124--124
J. W. Dold A Note on Integral Properties of
Periodic Orbits . . . . . . . . . . . . 125--129
G. F. Carey and
H. T. Dinh A Grid Anomaly in Quadrilateral Elements 130--134
David L. Powers Probabilities for a Cuboctahedral Die 135--136
M. L. Glasser Two Definite Integrals Arising in Light
Transmission Through a Crystal . . . . . 136--136
Marvin Marcus A Convex Set . . . . . . . . . . . . . . 136--136
K. S. Murray Ellipsoid of Inertia of a Regular
Simplex . . . . . . . . . . . . . . . . 136--136
Robert B. Cooper An Infinite Sum of Erlang Loss Functions 137--137
Michael Renardy Book Review: \booktitleOn Winning in the
Game of Lotto (Andy Liu) . . . . . . . . 137--139
M. Renardy On Winning in the Game of Lotto . . . . 137--139
Carl C. Grosjean Book Review: \booktitleExpected Type of
Triangle (D. J. Newman) . . . . . . . . 139--141
C. C. Grosjean Expected Type of Triangle . . . . . . . 139--141
Anonymous Book Review: \booktitleEllipsoid of
Inertia of a Regular Simplex (Quickie) 141--141
David H. Bailey Book Review: \booktitleComputational
Frameworks for the Fast Fourier
Transform (Charles Van Loan) . . . . . . 142--143
David H. Bailey Computational Frameworks for the Fast
Fourier Tranform (Charles Van Loan) . . 142
George Bojadziev Book Review: \booktitleSystems of
Nonlinear Partial Differential
Equations, Applications to Biology and
Engineering (Anthony W. Leung) . . . . . 143--145
Peter J. Bryant Book Review: \booktitleWeak Chaos and
Quasi-Regular Patterns (G. M. Zaslavsky,
R. Z. Sagdeev, D. A. Usikov, and A. A.
Chernikov) . . . . . . . . . . . . . . . 145--146
Bradley P. Carlin Book Review: \booktitleTools for
Statistical Inference: Observed Data and
Data Augmentation Methods (Martin A.
Tanner) . . . . . . . . . . . . . . . . 146--147
George Cybenko Book Review: \booktitleComputation and
Cognition (C. William Gear, ed.) . . . . 147--148
Bernard Fluky Book Review: \booktitleA User's Guide to
Principal Components (Edward Jackson) 148--149
Bernard Flury A User's Guide to Principal Components
(Edward Jackson) . . . . . . . . . . . . 148
H. Leon Harter Book Review: \booktitleOrder Statistics
and Inference: Estimation Methods (N.
Balakrishnan and A. Clifford Cohen) . . 149--150
Christiaan Heij Book Review: \booktitleImplicit Linear
Systems (J. D. Aplevich) . . . . . . . . 150--151
Reuben Hersh Book Review: \booktitleEthnomathematics:
a Multicultural View of Mathematical
Ideas (Marcia Ascher) . . . . . . . . . 151--153
Reuben Hersh Ethnomathematics: a Multicultural View
of Mathematical Ideas (Marcia Ascher) 151
A. H. G. Rinnooy Kan and
A. van Vliet Book Review: \booktitleProbabilistic
Analysis of Packing and Partitioning
Algorithms (E. G. Coffman, Jr. and
George S. Lueker) . . . . . . . . . . . 153--154
Klaus Kirchgässner Book Review: \booktitleInstabilities and
Fronts in Extended Systems (Pierre
Collet and Jean-Pierre Eckmann) . . . . 154--155
Klaus Kirchgassner Instabilities and Fronts in Extended
Systems (Pierre Collet and Jean-Pierre
Eckmann) . . . . . . . . . . . . . . . . 154
Janusz S. Kowalik and
Karel Zikan Book Review: \booktitleNumerical Linear
Algebra and Optimization: Vol. 1 (Philip
E. Gill, Walter Murray, and Margaret H.
Wright) . . . . . . . . . . . . . . . . 155--158
Jean Mawhin Book Review: \booktitleNon-Linear
Phenomena in Science and Engineering
(George Rowlands) . . . . . . . . . . . 158--159
Jean Mawhin Non-Linear Phenomena in Science and
Engineering (George Rowlands) . . . . . 158
J. H. McCabe Book Review: \booktitleHistory of
Continued Fractions and Padé Approximants
(Claude Brezinski) . . . . . . . . . . . 159--160
J. H. McCabe History of Continued Fractions and Padé
Approximants (Claude Brezinski) . . . . 159
Yoh-Han Pao Book Review: \booktitleStatistical
Pattern Recognition. Second edition
(Keinosuke Fukunaga) . . . . . . . . . . 161--161
A. G. Ramm Book Review: \booktitleShort-Wavelength
Diffraction Theory (V. M. Babic and V.
S. Buldyrev) . . . . . . . . . . . . . . 161--164
Pao Yoh-Han Statistical Pattern Recognition
(Keinosuke Fukunaga) . . . . . . . . . . 161
J. N. Reddy Book Review: \booktitleMechanics of
Solids and Fluids (Franz Ziegler) . . . 164--165
J. N. Reddy Mechanics of Solids and Fluids (Franz
Ziegler) . . . . . . . . . . . . . . . . 164
Badrinath Roysam Book Review: \booktitleComputational
Vision (Harry Wechsler) . . . . . . . . 165--166
Badrinath Roysam Computational Vision (Harry Wechsler) 165
Andrew Rukhin Book Review: \booktitleBayesian
Estimation and Experimental Design in
Linear Regression Models (Jürgen Pilz) 166--167
Andrew Rukhin Bayesian Estimation and Experimental
Design in Linear Regression Models
(Jurgen Pilz) . . . . . . . . . . . . . 166
Rüdiger Seydel Book Review: \booktitleThe Art of
Modeling Dynamic Systems: Forecasting
for Chaos, Randomness, and Determinism
(Foster Morrison) . . . . . . . . . . . 167--168
Rudiger Seydel The Art of Modeling Dynamic Systems:
Forecasting for Chaos, Randomness, and
Determinism (Foster Morrison) . . . . . 167
G. W. Stewart Book Review: \booktitleTopics in Matrix
Analysis (Roger A. Horn and Charles R.
Johnson) . . . . . . . . . . . . . . . . 168--169
John Urbas Book Review: \booktitleRegularity Theory
for Quasilinear Elliptic Systems and
Monge--Ampere Equations in Two
Dimensions (Friedmar Schulz) . . . . . . 169--172
John Urbas Regularity Theory for Quasilinear
Elliptic Systems and Monge--Ampere
Equations in Two Dimensions (Friedmar
Schulz) . . . . . . . . . . . . . . . . 169
Wolfgang Wetterling Book Review: \booktitleParametric
Optimization: Singularities,
Pathfollowing and Jumps (J. Guddat and
F. Guerra Vasquez with H. Th. Jongen) 172--172
Stephen Whitaker Book Review: \booktitleInterfacial
Transport Phenomena (John C. Slattery) 172--174
Ralph A. Willoughby Book Review: \booktitleNumerical
Mathematics (Gunther Hammerline and
Karl-Heinz Hoffman; Larry Schumaker,
trans.) . . . . . . . . . . . . . . . . 174--175
Anonymous New Members . . . . . . . . . . . . . . 176--181
Anonymous Elected and Appointed Officials . . . . 182--182
R. Tyrrell Rockafellar Lagrange Multipliers and Optimality . . 183--238
Andrea Bertozzi and
James McKenna Multidimensional Residues, Generating
Functions, and Their Application to
Queueing Networks . . . . . . . . . . . 239--268
Karl Sigman and
Ronald W. Wolff A Review of Regenerative Processes . . . 269--288
John Miles The Electric Bell Revisited . . . . . . 289--293
Tamás Lengyel A combinatorial identity and the World
Series . . . . . . . . . . . . . . . . . 294--297
J. Billingham An Infinite Integral . . . . . . . . . . 298--298
A. A. Jagers A Constrained Minimum Problem . . . . . 298--298
Bill Sands A Maximum Volume . . . . . . . . . . . . 298--298
M. L. Glasser An Infinite Integral of Four Bessel
Functions . . . . . . . . . . . . . . . 299--299
Steven Laffin All Purpose Stamp Design . . . . . . . . 299--299
Russell L. Mallet Book Review: \booktitleMaximum Value of
a Shear Stress (J. O. Fellman) . . . . . 299--304
R. L. Mallett Maximum Value of a Shear Stress . . . . 299--304
W. B. Jordan and
C. C. Grosjean Book Review: \booktitleThree Infinite
Sums (C. C. Grosjean) . . . . . . . . . 304--306
W. B. Jordan 3 Infinite Sums . . . . . . . . . . . . 304--306
M. Renardy Asymptotic Solution of the Telegraph
Equation . . . . . . . . . . . . . . . . 306--307
Michael Renardy Book Review: \booktitleAsymptotic
Solution of the Telegraph Equation (Mark
A. Pinsky) . . . . . . . . . . . . . . . 306--307
Anonymous Book Review: \booktitleAn Infinite
Integral (Quickie) . . . . . . . . . . . 307--307
Hassan Aref Review: \booktitleTransition to Chaos:
The Orbit Diagram and the Mandelbrot
Set, with Robert L. Devaney . . . . . . 308--309
Rudolf Beran Book Review: \booktitleStatistical
Intervals: a Guide for Practitioners
(Gerald J. Hahn and William Q. Meeker) 309--310
Paul Blanchard Book Review: \booktitleIteration of
Rational Functions (Alan F. Beardon) . . 310--312
M. E. Brewster Book Review: \booktitleAn Introduction
to Wavelets (Charles K. Chui) . . . . . 312--313
Vaclav Dupac Book Review: \booktitleAdaptive
Algorithms and Stochastic Approximations
(A. Benveniste, M. Métivier, and P.
Priouret) . . . . . . . . . . . . . . . 313--314
Bryson Brown Book Review: \booktitleA Journey into
Gravity and Spacetime (John A. Wheeler) 314--315
Peter Duren Book Review: \booktitleInequalities:
Fifty Years on from Hardy, Littlewood
and Pólya (W. Norrie Everitt, ed.) . . . 315--316
Alex Figotin Book Review: \booktitleSpectral Theory
of Random Schrödinger Operators (René
Carmona and Jean Lacroix) . . . . . . . 316--318
Alex Figotin Spectral Theory of Random Schrödinger
Operators (Rene Carmona and Jean
Lacroix) . . . . . . . . . . . . . . . . 316
George J. Fix Book Review: \booktitleScientific
Computations on Mathematical Problems
and Conjectures (Richard S. Varga) . . . 318--320
Daniel P. Heyman Book Review: \booktitleStochastic Models
in Queueing Theory (J. Medhi) . . . . . 320--321
John F. Hughes Book Review: \booktitleOriented
Projective Geometry: a Framework for
Geometric Computations (Jorge Stolfi) 321--323
John F. Hughes Oriented Projective Geometry: a
Framework for Geometric Computations
(Jorge Stolfi) . . . . . . . . . . . . . 321
N. C. Kenkel Book Review: \booktitleMathematical
Ecology of Plant Species Competition: a
Class of Deterministic Models for Binary
Mixtures of Plant Genotypes (Anthony G.
Pakes and R. A. Maller) . . . . . . . . 323--324
Malgorzta M. Klosek Book Review: \booktitleMarkov Processes:
an Introduction for Physical Scientists
(Daniel T. Gillespie) . . . . . . . . . 324--325
Kumar Joag-dev Book Review: \booktitleFunctional
Equations in Probability Theory (B.
Ramachandran and Ka-Sing Lau) . . . . . 325--326
Arjen K. Lenstra Book Review: \booktitleUses of
Randomness in Algorithms and Protocols
(Joe Kilian) . . . . . . . . . . . . . . 326--328
Arjen K. Lenstra Uses of Randomness in Algorithms and
Protocols (Joe Kilian) . . . . . . . . . 326
Joseph F. McGrath Book Review: \booktitleA Primer on
Integral Equations of the First Kind:
The Problem of Deconvolution and
Unfolding (G. Milton Wing with the
assistance of John D. Zahrt) . . . . . . 328--330
Peter Orlik Book Review: \booktitleVerification of
Sequential and Concurrent Programs
(Krzysztof R. Apt and Ernst-Rudiger
Olderog) . . . . . . . . . . . . . . . . 330--331
John C. Mitchell Book Review: \booktitleVerification of
Sequential and Concurrent Programs
(Krzysztof R. Apt and Ernst-Rudiger
Olderog) . . . . . . . . . . . . . . . . 330
Peter Orlik Book Review: \booktitleMatroid
Applications (Neil White, ed.) . . . . . 331--331
P. D. Panagiotopoulos Book Review: \booktitleConvex Models of
Uncertainty in Applied Mechanics (Yakov
Ben-Haim and Isaac Elishakoff) . . . . . 331--332
P. D. Panagiotopoulos Convex Models of Uncertainty in Applied
Mechanics (Yakov Ben-Haim and Isaac
Elishakoff) . . . . . . . . . . . . . . 331
Nigel Perry Book Review: \booktitleLazy Functional
Languages: Abstract Interpretation and
Compilation (Geoffrey Burn) . . . . . . 332--334
Nigel Perry Lazy Functional Languages: Abstract
Interpretation and Compilation (Geoffrey
Burn) . . . . . . . . . . . . . . . . . 332
Tudor Ratiu Book Review: \booktitleTensors and
Manifolds (Robert H. Wasserman) . . . . 334--335
Doris Schattschneider Book Review: \booktitleCrystalline
Symmetries: an Informal Mathematical
Introduction (Marjorie Senechal) . . . . 335--336
Doris Schattschneider Crystalline Symmetries: An Informal
Mathematical Introduction (Marjorie
Senechal) . . . . . . . . . . . . . . . 335
J. C. Simo Book Review: \booktitleMixed and Hybrid
Finite Element Methods (Franco Brezzi
and Michel Fortin) . . . . . . . . . . . 336--339
J. C. Simo Mixed and Hybrid Finite Element Methods
(Franco Brezzi and Michel Fortin) . . . 336
Bikas Kumar Sinha Book Review: \booktitleMinimax Solutions
in Sampling from Finite Populations
(Siegfried Gabler) . . . . . . . . . . . 339--340
Bikas Kumar Sinha Minimax Solutions in Sampling from
Finite Populations (Siegfried Gabler) 339
Deborah Sulsky Book Review: \booktitleMultigrid and
Defect Correction for the Steady
Navier--Stokes Equations Applications to
Aerodynamics (Barry Koren) . . . . . . . 340--341
Deborah Sulsky Multigrid and Defect Correction for the
Steady Navier--Stokes Equations
Applications to Aerodynamics (Barry
Koren) . . . . . . . . . . . . . . . . . 340
John A. Synowiec Book Review: \booktitleIntroduction to
Hilbert Spaces with Applications
(Lokenath Debnath and Piotr
Mikusi\'nski) . . . . . . . . . . . . . 341--342
John A. Synowiec Introduction to Hilbert Spaces with
Applications (Lokenath Debnath and Piotr
Mikusinski) . . . . . . . . . . . . . . 341
Iradj Tadjbakhsh Book Review: \booktitleStrength of
Structural Elements (Z. Brzoska, Z.
Kaczkowski, J. Lipka, Z. Olesiak, and M.
Zyczkowski) . . . . . . . . . . . . . . 342--343
Andrew Vogt Book Review: \booktitleQuantum
Mechanics, Algebras and Distributions
(D. A. Dubin and M. A. Hennings) . . . . 343--345
David F. Walnut Book Review: \booktitleWavelets: a
Tutorial in Theory and Applications
(Charles K Chui, ed.) . . . . . . . . . 345--348
Anonymous New Members . . . . . . . . . . . . . . 349--358
W. G. Pritchard Mathematical Models of Running . . . . . 359--379
R. Hettich and
K. O. Kortanek Semi-Infinite Programming: Theory,
Methods, and Applications . . . . . . . 380--429
David S. Watkins Some Perspectives on the Eigenvalue
Problem . . . . . . . . . . . . . . . . 430--471
Allen R. Miller and
Emanuel Vegh Exact Result for the Grazing Angle of
Specular Reflection from a Sphere . . . 472--480
Pierre T. Kabamba A Note on Navigation Accuracy . . . . . 481--487
C. C. Grosjean A Sextuple Integral from a Cosmological
Model . . . . . . . . . . . . . . . . . 488--488
Rudolf X. Meyer A Unique Vector Sum . . . . . . . . . . 488--488
Richard B. Evans An Integral Relation for Successive
Eigenvalues . . . . . . . . . . . . . . 489--489
D. B. Jevti\'c A Number Theory Problem from
Multiple-Access Adder Channels . . . . . 489--490
John Billingham Two Integrals Arising from a
Reaction-Diffusion Problem . . . . . . . 490--490
W. B. Jordan Book Review: \booktitleLimit of a
Sequence (M. Gaviano) . . . . . . . . . 490--492
D. K. Bhargava Book Review: \booktitleA Resistance
Problem (E. N. Gilbert and L. A. Shepp) 492--493
C. C. Grosjean Book Review: \booktitleExistence of a
Boundary-Value Problem with Prescribed
Eigenvalues (Ahmed I. Zayed) . . . . . . 493--497
J. Boersma and
P. J. Dedoelder On Alternating Multiple Sums . . . . . . 497--500
J. Boersma and
P. J. de Doelder Book Review: \booktitleOn Alternating
Multiple Sums (Malte Henkel and R. A.
Weston) . . . . . . . . . . . . . . . . 497--500
F. Schmidt Book Review: \booktitleCircular Binary
Sequences (Mark Stamp) . . . . . . . . . 500--502
Dennis Jespersen Book Review: \booktitleA Family of Cubic
Equations (Gerhard Metzen and Cecil
Rousseau) . . . . . . . . . . . . . . . 503--503
M. L. Glasser Book Review: \booktitleTwo Integrals
Arising in Generalized Inverse Gaussian
Model and Heat Conduction Problems (M.
A. Chaudry AND S. M. Zubair) . . . . . . 503--504
D. Jespersen A Family of Cubic Equations . . . . . . 503--504
Anonymous Book Review: \booktitleA Sextuple
Integral From a Cosmological Model
(Quickie) . . . . . . . . . . . . . . . 504--505
Anonymous Book Review: \booktitleErrata: a Linear
Integro-Differential Equation (John
Melville) . . . . . . . . . . . . . . . 505--505
J. Melville A Linear Integrodifferential Equation
(Vol 34, Pg 654, 1992) . . . . . . . . . 505--505
Calvin D. Ahlbrandt Book Review: \booktitleIntroduction to
the Calculus of Variations (U.
Brechtken-Mandersheid; P. G. Engstrom.
trans.) . . . . . . . . . . . . . . . . 506--507
Peter Alfeld Book Review: \booktitleZweidimensionale
Spline-Interpolation-Algorithmen (H.
Spath) . . . . . . . . . . . . . . . . . 507--509
Faiz A. Al-Khayyal and
Panos M. Pardalos Book Review: \booktitleGlobal
Optimization (Aimo Törn and Antanas
Zilinskas) . . . . . . . . . . . . . . . 509--510
Faiz A. Al-Khayyal and
Panos M. Pardalos Global Optimization (Aimo Torn and
Antanas Zilinskas) . . . . . . . . . . . 509
Krishna B. Athreya Book Review: \booktitleThe Construction
Theory of Denumerable Markov Processes
(Xiang-Qun Yang) . . . . . . . . . . . . 510--513
Krisha B. Athreya The Construction Theory of Denumerable
Markov Processes (Xiang-qun Yang) . . . 510
Erhan Çinlar Book Review: \booktitleStochastic Flows
and Stochastic Differential Equations
(Hiroshi Kunita) . . . . . . . . . . . . 513--514
Erhan Cinlar Stochastic Flows and Stochastic
Differential Equations (Hiroshi Kunita) 513
Rick Durrett Book Review: \booktitleFrom Markov
Chains to Nonequilibrium Particle
Systems (Mu Fa Chen) . . . . . . . . . . 514--514
Richard S. Falk Book Review: \booktitleMixed and Hybrid
Finite Element Methods (Franco Brezzi
and Michel Fortin) . . . . . . . . . . . 514--517
Richard S. Falk Mixed and Finite Element Methods (Franco
Brezzi and Michel Fortin) . . . . . . . 515
G. Farin Book Review: \booktitleGeometric
Modelling for Numerically Controlled
Machining (K. Marciniak) . . . . . . . . 517--518
G. Farin Geometric Modelling for Numerically
Controlled Machining (K Marciniak) . . . 517
A. M. Fink Book Review: \booktitleOptimality and
Equilibria in Stochastic Games (F.
Thuijsman) . . . . . . . . . . . . . . . 518--519
Peter C. Fishburn Book Review: \booktitleCombinatorics and
Partially Ordered Sets: Dimension Theory
(William T. Trotter) . . . . . . . . . . 519--520
Judith D. Gardiner Book Review: \booktitleFundamentals of
Matrix Computations (David S. Watkins) 520--521
J. Brian Gray Book Review: \booktitleExploratory and
Multivariate Data Analysis (Michel
Jambu) . . . . . . . . . . . . . . . . . 521--524
J. Brian Gray Exploratory and Multivariate Data
Analysis (Michel Jambu) . . . . . . . . 521
F. Haake Book Review: \booktitleFoundations of
Synergetics II, Complex Patterns (A. S.
Mikhailov and A. Yu. Loskutov) . . . . . 524--525
Paul S. Horn Book Review: \booktitleA First Course in
Order Statistics (Barry C. Arnold, N.
Balakrishnan, and H. N. Nagaraja) . . . 525--525
Olav Kallenberg Book Review: \booktitleLectures on the
Coupling Method (Torgny Lindvall) . . . 525--527
Olav Kallenberg Lectures on the Coupling Method (Torgny
Lindvall) . . . . . . . . . . . . . . . 525
J. P. Keating Book Review: \booktitleQuantum
Signatures of Chaos (Fritz Haake) . . . 527--529
J. P. Keating Quantum Signatures of Chaos (Fritz
Haake) . . . . . . . . . . . . . . . . . 527
Joseph P. S. Kung Book Review: \booktitleMatroid
Decomposition (K. Truemper) . . . . . . 529--531
R. J. LeVeque Book Review: \booktitleAdaptive Finite
Element Solution Algorithm for the Euler
Equations (R. A. Shapiro) . . . . . . . 531--532
Jim Pitman Book Review: \booktitleContinuous
Martingales and Brownian Motion (Daniel
Revuz and Mare Yor) . . . . . . . . . . 532--533
Jim Pitman Continuous Martingales and Brownian
Motion (Daniel Revuz and Marc Yor) . . . 532
Anthony Ralston Book Review: \booktitleMicrocomputer
Algorithms, Action from Algebra (John P.
Killingbeck) . . . . . . . . . . . . . . 533--534
Anthony Ralston Microcomputer Algorithms, Action from
Algebra (John P Killingbeck) . . . . . . 533
Robert Schreiber Book Review: \booktitleVery Large Scale
Computation in the 21st Century (Jill P
Mesirov, ed.) . . . . . . . . . . . . . 534--535
Nozer D. Singpurwalla Book Review: \booktitleStatistical
Analysis of Reliability Data (M. J.
Crowder, A. C. Kimber, R. L. Smith, and
T. J. Sweeting) . . . . . . . . . . . . 535--538
Allen Tannenbaum Book Review: \booktitle$ H^\infty
$-Optimal Control and Related Minimax
Design Problems (Tamer Basar and Pierre
Bernhard) . . . . . . . . . . . . . . . 538--540
Allen Tannenbaum $ {H}^\infty $-Optimal Control and
Related Minimax Design Problems (Tamer
Baser and Pierre Bernhard) . . . . . . . 538
Alexander F. Vakakis Book Review: \booktitleTheory of
Vibration: I. An Introduction and II:
Discrete and Continuous Systems (A. A.
Shabana) . . . . . . . . . . . . . . . . 540--541
James S. Wolper Book Review:
\booktitleAlgebraic-Geometric Codes (M.
A. Tsfasman and S. G. Vla\udu\ct) . . . 541--543
Anonymous Selected Collections . . . . . . . . . . 543--545
Anonymous New Members . . . . . . . . . . . . . . 546--550
G. W. Stewart On the Early History of the Singular
Value Decomposition . . . . . . . . . . 551--566
Donald F. Winter On the Stem Curve of a Tall Palm in a
Strong Wind . . . . . . . . . . . . . . 567--579
A. K. Head and
S. D. Howison and
J. R. Ockendon and
S. P. Tighe An Equilibrium Theory of Dislocation
Continua . . . . . . . . . . . . . . . . 580--609
Harry E. Moses and
Reese T. Prosser Propagation of an Electromagnetic Field
Through a Planar Slab . . . . . . . . . 610--620
Masaaki Kijima Numerical Calculation of Ruin
Probabilities for Skip-Free Markov
Chains . . . . . . . . . . . . . . . . . 621--624
Mansour Eslami Optimization of a Stability Bound . . . 625--630
Shaun Bullett and
Jaroslav Stark Renormalizing the Simple Pendulum . . . 631--640
Hong Zhang and
Xiaohuan Wang Optimal Sensor Placement . . . . . . . . 641--641
W. Boehm An Operator Limit . . . . . . . . . . . 642--642
Peter J. Costa Matrix Differentiation Identities . . . 642--642
K. M. Seymour Maximum Gravitational Attraction . . . . 642--642
G. M. L. Gladwell A Unique Real Root . . . . . . . . . . . 643--643
P. C. Schuur and
Rolf Richberg Book Review: \booktitleAn Unexpected
Result in Classical Electrostatics (A.
J. E. M. Janssen and J. B. M. Melissen) 643--645
P. C. Schuur and
R. Richberg An Unexpected Result in Classical
Electrostatics . . . . . . . . . . . . . 643--645
P. Flajolet and
B. Salvy and
Helmut Prodinger Book Review: \booktitleA Finite Sum of
Products of Binomial Coefficients (C. C.
Grosjean) . . . . . . . . . . . . . . . 645--647
P. Flajolet and
B. Salvy and
H. Prodinger and
M. L. Larsen and
J. L. Lavoie A Finite Sum of Products of Binomial
Coefficients . . . . . . . . . . . . . . 645--647
Johann Walter Book Review: \booktitleWorld Lines of
Photons and Distributional Solutions
with Small Support of the Homogeneous
Wave Equation (Johann Walter) . . . . . 647--649
J. Walter World Lines of Photons and Distributed
Solutions with Small Support of the
Homogeneous Wave Equation . . . . . . . 647--649
C. F. Woodcock and
P. R. Graves-Morris Book Review: \booktitleA Determinant
Identity (P. R. Graves-Morris) . . . . . 649--651
C. F. Woodcock and
P. R. Gravesmorris A Determinant Identity . . . . . . . . . 649--651
Ravi P. Agarwal Book Review: \booktitleThe Double
Mellin--Barnes Type Integrals and Their
Applications to Convolution Theory
(Nguyen Thanh Hai and S. B. Yakubovich) 652--652
Joseph A. Ball Book Review: \booktitleMinimum Entropy $
H_\infty $ Control (D. Mustafa and K.
Glover) . . . . . . . . . . . . . . . . 652--655
T. A. Burton Book Review: \booktitleA Course on
Integral Equations (A. C. Pipkin) . . . 655--656
Stephen L. Campbell Book Review: \booktitleMethods of
Solving Singular Systems of Ordinary
Differential Equations (Y. Boyarintsev) 656--658
J. M. Anthony Danby Book Review: \booktitleOrdinary
Differential Equations (G. F. Carrier
and E. E. Pearson) . . . . . . . . . . . 658--659
Robert W. Easton Book Review: \booktitleIntroduction to
Hamiltonian Dynamical Systems and the
$N$-Body Problem (K. R. Meyer and G. R.
Hall) . . . . . . . . . . . . . . . . . 659--659
Richard J. Fateman Book Review: \booktitleAutomatic
Differentiation of Algorithms: Theory,
Implementation, and Application (Andreas
Griewank and George F. Corliss, eds.) 659--660
Ricardo D. Fierro Book Review: \booktitleThe Total Least
Squares Problem: Computational Aspects
and Analysis (S. Van Huffel and J.
Vandewalle) . . . . . . . . . . . . . . 660--662
Joseph Gruendler Book Review: \booktitleNonlinear Systems
(P. G. Drazin) . . . . . . . . . . . . . 662--663
Jerome A. Goldstein Book Review: \booktitleAttractors for
Semigroups and Evolution Equations (Olga
Ladyzhenskaya) . . . . . . . . . . . . . 664--666
Christopher Heil Book Review: \booktitleTen Lectures on
Wavelets, by Ingrid Daubechies . . . . . 666--669
Mike Hurley Book Review: \booktitleThe Global
Dynamics of Cellular Automata (Andrew
Wuensche and Mike Lesser) . . . . . . . 669--670
Mike Hurley The Global Dynamics of Cellular Automata
(Andrew Wuensche and Mike Lesser) . . . 669
Harold Kushner Book Review: \booktitleStability of
Stochastic Differential Equations with
Respect to Semi-martingales (X. Mao) . . 670--671
Y. Meyer Book Review:
\booktitlePseudodifferential Operators
and Nonlinear Partial Differential
Equations (M. E. Taylor) . . . . . . . . 671--672
Walter Morris Book Review: \booktitleThe Linear
Complementarily Problem (R. W. Cottle,
J.-S. Pang, and R. E. Stone) . . . . . . 673--674
Ira S. Moskowitz Book Review: \booktitleInformation
Theory (Robert B. Ash) . . . . . . . . . 674--675
Peter J. Olver Book Review: \booktitleGeometrical
Aspects of Partial Differential
Equations (V. V. Zharinov) . . . . . . . 675--676
Joe Pimbley Book Review: \booktitleQuantum Theory of
the Optical and Electronic Properties of
Semiconductors (H. Haug and Stephan W.
Koch) . . . . . . . . . . . . . . . . . 676--677
George Seifert Book Review: \booktitleOscillation
Theory of Delay Differential Equations
(I. Györi and G. Ladas);
\booktitleOscillation Theory for Neutral
Differential Equations with Delay (D. D.
Bainov and D. P. Mishev) . . . . . . . . 677--678
David J. Shippy Book Review: \booktitleThe Boundary
Integral Approach to Static and Dynamic
Contact Problems (H. Antes and P. D.
Panagiotopoulos) . . . . . . . . . . . . 678--680
Ian H. Sloan Book Review: \booktitleRandom Number
Generation and Quasi-Monte Carlo Methods
(H. Niederreiter) . . . . . . . . . . . 680--681
Andrew J. Sommese Book Review: \booktitleIdeals,
Varieties, and Algorithms --- an
Introduction to Computational Algebraic
Geometry and Commutative Algebra (D.
Cox, J. Little, and D. O'Shea) . . . . . 682--682
Frank Stenger Book Review: \booktitleSinc Methods for
Quadrature and Differential Equations
(J. Lund and K. L. Bowers) . . . . . . . 682--683
David Terman Book Review: \booktitlePatterns and
Waves (Peter Grindrod) . . . . . . . . . 683--684
David Terman Patterns and Waves (Peter Grindrod) . . 683
Pamela H. Vance Book Review: \booktitleKnapsack
Problems: Algorithms and Computer
Implementations (S. Martello and P.
Toth) . . . . . . . . . . . . . . . . . 684--685
Anonymous Selected Collections . . . . . . . . . . 685--686
Anonymous New Members . . . . . . . . . . . . . . 687--692
Anonymous Report of the Treasurer for the Year
Ended December 31, 1992 . . . . . . . . 693--694
R. A. Tapia and
M. W. Trosset An Extension of the Karush--Kuhn--Tucker
Necessity Conditions to Infinite
Programming . . . . . . . . . . . . . . 1--17
Jerome Spanier and
Earl H. Maize Quasi-Random Methods for Estimating
Integrals Using Relatively Small Samples 18--44
A. S. El-Bakry and
R. A. Tapia and
Y. Zhang A Study of Indicators for Identifying
Zero Variables in Interior-Point Methods 45--72
A. S. Elbakry and
R. A. Tapia and
Y. Zhang A Study of Indicators for Identifying
Zero Variables in Interior-Point Methods 45--72
Peter Constantin Geometric Statistics in Turbulence . . . 73--98
Harold S. Shapiro and
Max Tegmark An Elementary Proof That the Biharmonic
Green Function of an Eccentric Ellipse
Changes Sign . . . . . . . . . . . . . . 99--101
David Chappell and
Karen Dury On the Optimal Depletion of a
Nonrenewable Natural Resource Under
Conditions of Increasing Marginal
Extraction Costs . . . . . . . . . . . . 102--106
M. S. Klamkin A Conjectured Heat Flow Problem . . . . 107--107
A. W. Overhauser and
Y. J. Kim An Infinite Sum from a Diffusion Problem 107--107
G. Tokarsky An Impossible Pool Shot? . . . . . . . . 107--108
Barbara S. Bertram and
Otto G. Ruehr Two Integrals Evaluated by Zeta
Functions . . . . . . . . . . . . . . . 108--108
Hong Zhang and
Xiaohuan Wang Optimal Sensor Placement in
Three-Dimensions . . . . . . . . . . . . 108--109
David L. Powers Probabilities for a Cuboctahedral Die 109--110
M. Marcus A Convex Set . . . . . . . . . . . . . . 111--111
Michael Renardy Book Review: \booktitleA Convex Set
(Marvin Marcus) . . . . . . . . . . . . 111--111
M. L. Glasser Two Definite Integrals Arising in Light
Transmission Through a Crystal . . . . . 111--112
Jesper Larsen Book Review: \booktitleTwo Definite
Integrals Arising in Light Transmission
Through a Crystal (M. L. Glasser) . . . 111--112
R. B. Cooper An Infinite Sum of Erlang Loss Functions 112--113
G. F. Newell Book Review: \booktitleAn Infinite Sum
of Erlang Loss Functions (Robert B.
Cooper) . . . . . . . . . . . . . . . . 112--114
J. Billingham An Infinite Integral . . . . . . . . . . 115--115
A. M. J. Davis Book Review: \booktitleAn Infinite
Integral (J. Billingham) . . . . . . . . 115--115
Carl C. Grosjean Errata . . . . . . . . . . . . . . . . . 115--115
D. J. Newman Expected Type of Triangle (Vol 35, Pg
139, 1993) . . . . . . . . . . . . . . . 115--115
Dwight Barkley Book Review: \booktitleChemical Chaos
(Stephen K. Scott) . . . . . . . . . . . 116--116
M. S. Berger Book Review: \booktitleInfinite
Dimensional Morse Theory and Multiple
Solution Problems (K. C. Chang) . . . . 116--117
George Bluman Book Review: \booktitleDifferential
Equations and Group Methods (James M.
Hill) . . . . . . . . . . . . . . . . . 117--117
George Bluman Book Review: \booktitleInfinite
Dimensional Morse Theory and Multiple
Solution Problems (K. C. Chang) . . . . 117--117
Alberto Bressan Book Review: \booktitleMultivalued
Differential Equations (Klaus Deimling
and Walter de Gruyter) . . . . . . . . . 117--119
Alberto Bressan Multivalued Differential Equations
(Klaus Deimling and Walter de Gruyter) 117
Krzysztof Burdzy Book Review: \booktitleThe Self-Avoiding
Walk (Neal Madras and Gordon Slade) . . 119--119
A. Castro Book Review: \booktitleSolvability and
Bifurcations of Nonlinear Equations (P.
Drábek) . . . . . . . . . . . . . . . . . 119--122
Krzysztof Burdzy The Self-Avoiding Walk (Neal Madras and
Gordon Slade) . . . . . . . . . . . . . 119
A. Castro Solvability and Bifurcations of
Nonlinear Equations (P Drabek) . . . . . 119
D. R. J. Chillingworth Book Review: \booktitleFundamentals of
Dynamical Systems and Bifurcation Theory
(M. Medved) . . . . . . . . . . . . . . 122--123
D. R. J. Chillingworth Fundamentals of Dynamical Systems and
Bifurcation (M Medved) . . . . . . . . . 122
David Colton Book Review: \booktitleInverse Problems
in the Mathematical Sciences (Charles W.
Groetsch) . . . . . . . . . . . . . . . 123--124
David Colton Inverse Problems in the Mathematical
Sciences (Charles W Groetsch) . . . . . 123
Steven P. Ellis Book Review: \booktitleA Course on Point
Processes (R.-D. Reiss) . . . . . . . . 124--125
Mostafa Ghandehari Book Review: \booktitleFoundations of
Coding (J. Adamek) . . . . . . . . . . . 125--126
Jeremy J. Gray Book Review: \booktitleGalois'
Dream-Group Theory and Differential
Equations (Michio Kuga) . . . . . . . . 126--126
Don Hinton Book Review: \booktitleHandbook of
Differential Equations, Second Edition
(Daniel Zwillinger) . . . . . . . . . . 126--127
Jeremy J. Gray Galois' Dream-Group Theory and
Differential Equations (Michio Kuga) . . 126
Charles Kenney and
Roy Smith Book Review: \booktitleUncertain Models
and Robust Control (A. Weinmann) . . . . 127--128
Eric S. Key Book Review: \booktitleAn Introduction
to Probability and Stochastic Processes
(M. A. Berger) . . . . . . . . . . . . . 128--129
Hüseyin Koçak Book Review: \booktitleDifferential
Equations Laboratory Workbook: a
Collection of Experiments, Explorations
and Modeling Projects for the Computer
(Robert L. Borrelli, Courtney Coleman,
and William E. Boyce) . . . . . . . . . 129--130
B. A. Kupershmidt Book Review: \booktitleSoliton Equations
and Hamiltonian Systems (L. A. Dickey) 130--131
Gary T. Leavens Book Review: \booktitlePrograms,
Recursion and Unbounded Choice (Wim H.
Hesselink) . . . . . . . . . . . . . . . 131--133
Jose Luis Menaldi Book Review: \booktitleControlled Markov
Processes and Viscosity Solutions
(Wendell H. Fleeting and H. Mete Soner) 133--134
John Milton Book Review: \booktitleMathematics in
Medicine and the Life Sciences (F. C.
Hoppensteadt and C. S. Peskin) . . . . . 134--135
H. Mittelmann Book Review: \booktitlePLTMG: a Software
Package for Solving Elliptic Partial
Differential Equations (Randolph E.
Bank) . . . . . . . . . . . . . . . . . 135--136
James Murdock Book Review: \booktitlePerturbation
Methods for Engineers and Scientists
(Alan W. Bush) . . . . . . . . . . . . . 136--137
James Murdock Perturbation Methods for Engineers and
Scientists (Alan W Bush) . . . . . . . . 136
J. W. Neuberger Book Review: \booktitleSemigroup Theory
with Applications to Systems and Control
(N U. Ahmed) . . . . . . . . . . . . . . 137--139
Michael Renardy Book Review: \booktitleMathematical
Topics in Fluid Mechanics (J. F.
Rodrigues and A. Sequeira) . . . . . . . 139--140
Frank Rizzo Book Review: \booktitleBoundary Integral
and Singularity Methods for Linearized
Viscous Flow (C. Pozrikidis) . . . . . . 140--141
Richard Serfozo Book Review: \booktitleStationary
Stochastic Models (A. Brands, P.
Franken, and B. Lisek) . . . . . . . . . 141--143
Paul C. Shields Book Review: \booktitleProbability,
Random Processes, and Ergodic Properties
(Robert M. Gray) . . . . . . . . . . . . 143--145
Ian Stewart Book Review: \booktitleSymmetry in Chaos
--- a Search for Pattern in Mathematics,
Art, and Nature (Michael Field and
Martin Golubitsky) . . . . . . . . . . . 145--148
Ian Stewart Symmetry in Chaos --- a Search for
Pattern in Mathematics, Art, and Nature
(Michael Field and Martin Golubitsky) 145
W. J. Thron Book Review: \booktitleContinued
Fractions with Applications (Lisa
Lorentzen and Haakon Waadeland) . . . . 148--149
W. J. Thron Continued Fractions with Applications
(Lisa Lorentzen and Haakon Waadeland) 148
Wolfgang Wasow Book Review: \booktitleSingular
Perturbation Methods for Ordinary
Differential Equations (Robert E.
O'Malley, Jr.) . . . . . . . . . . . . . 149--149
Elizabeth Greenwell Yanik Book Review: \booktitleNumerical Recipes
in FORTRAN-The Art of Scientific
Computing 2nd Ed. (W. H. Press, W. T.
Vetterling, S. A. Teukolsky and B. P.
Flannery) . . . . . . . . . . . . . . . 149--149
Anonymous Selected Collections . . . . . . . . . . 150--153
Anonymous New Members . . . . . . . . . . . . . . 154--155
Anonymous Elected and Appointed Officials . . . . 156--156
P. Davis Murray Klamkin --- Dedication . . . . . U1--U1
Ronald V. Book Relativizations of the P =? NP and Other
Problems: Developments in Structural
Complexity Theory . . . . . . . . . . . 157--175
David J. Wollkind and
Valipuram S. Manoranjan and
Limin Zhang Weakly Nonlinear Stability Analyses of
Prototype Reaction-Diffusion Model
Equations . . . . . . . . . . . . . . . 176--214
J. L. Nazareth The Newton and Cauchy Perspectives on
Computational Nonlinear Optimization . . 215--225
Robert C. Rogers Book Review: \booktitleMathematical
Problems of Classical Nonlinear
Electromagnetic Theory (Fredrick Bloom) 217--219
A. M. Stuart and
A. R. Humphries Model Problems in Numerical Stability
Theory for Initial Value Problems . . . 226--257
Yves Nievergelt Total Least Squares: State-of-the-Art
Regression in Numerical Analysis . . . . 258--264
John Banks and
Valentina Dragan Smale's Horseshoe Map via Ternary
Numbers . . . . . . . . . . . . . . . . 265--271
Jürgen Gerlach Accelerated Convergence in Newton's
Method . . . . . . . . . . . . . . . . . 272--276
D. E. Loper On the Ratio of Two Double Integrals . . 277--277
R. C. Moors Path of a Car . . . . . . . . . . . . . 277--277
W. Boehm An Operator Limit . . . . . . . . . . . 277--278
R. W. Cox A Toeplitz Matrix Eigenproblem . . . . . 278--278
M. S. Klamkin A Possible Characterization of Uniformly
Accelerated Motion . . . . . . . . . . . 278--278
N. M. Blachman A Maximum Volume . . . . . . . . . . . . 278--281
H. de Meyer Book Review: \booktitleA Maximum Volume
(Bill Sands) . . . . . . . . . . . . . . 278--281
A. A. Jagers A Constrained Minimum Problem . . . . . 281--283
Steven Laffin and
A. Liu All Purpose Stamp Design . . . . . . . . 283--285
A. R. Miller Book Review: \booktitleAn Infinite
Integral of Four Bessel Functions (M. L.
Glasser) . . . . . . . . . . . . . . . . 285--287
Robert Aebi Book Review: \booktitleSchrödinger
Equations and Diffusion Theory (Masao
Nagasawa) . . . . . . . . . . . . . . . 288--288
Ralph H. Abraham Book Review: \booktitleEncounter with
Chaos (J. Peinke, J. Parisi, O. E.
Rössler, and R. Stoop) . . . . . . . . . 288--289
R. Aebi Schrödinger Equations and Diffusion
Theory (Masao Nagasawa) . . . . . . . . 288
Sergiu Aizicovici Book Review: \booktitleAbstract
Evolution Equations, Periodic Problems
and Applications (Daniel Daners and
Pablo Koch Medina) . . . . . . . . . . . 289--290
S. Aizicovici Abstract Evolution Equations, Periodic
Problems and Applications (Daniel Daners
and Pablo Koch Medina) . . . . . . . . . 289
Ravi P. Agarwal Book Review: \booktitleClassical and New
Inequalities in Analysis (D. S.
Mitrinovic, J. E. Pecaric, and A. M.
Fink) . . . . . . . . . . . . . . . . . 290--290
Judith M. Arms Book Review: \booktitleLectures on
Mechanics (J. E. Marsden) . . . . . . . 290--291
Bart Braden Book Review: \booktitleHandbook of
Writing for the Mathematical Sciences
(Nicholas J. Higham) . . . . . . . . . . 291--292
B. Braden Handbook of Writing for the Mathematical
Sciences (Nicholas J Higham) . . . . . . 291
Peter J. Bryant Book Review: \booktitleNonlinearities in
Action (A. V. Gaponov-Grekhov and M. I.
Rabinovich) . . . . . . . . . . . . . . 292--293
Russel E. Caflisch Book Review: \booktitleVortex Dynamics
(P. G. Saffman) . . . . . . . . . . . . 293--297
S. Roy Choudhury Book Review: \booktitleDynamics and
Bifurcations (Jack K. Hale and Huseyin
Kocak) . . . . . . . . . . . . . . . . . 297--299
J.-F. Colombeau Book Review: \booktitleMultiplication of
Distributions and Applications to
Partial Differential Equations (M.
Oberguggenberger) . . . . . . . . . . . 299--301
Jane Cullum Book Review: \booktitleNumerical Methods
for Large Eigenvalue Problems (Youcef
Saad) . . . . . . . . . . . . . . . . . 301--303
J. Cullum Numerical Methods for Large Eigenvalue
Problems (Youcef Saad) . . . . . . . . . 301
I. H. Dinwoodie Book Review: \booktitleLarge Deviations
Techniques and Applications (Amir Dembo
and Ofer Zeitouni) . . . . . . . . . . . 303--304
I. H. Dinwoodie Large Deviations Techniques and
Applications (Amir Dembo and Ofer
Zeitouni) . . . . . . . . . . . . . . . 303
R. G. Laha Book Review: \booktitleIdentifiability
in Stochastic Models (B. L. S. Prakasa
Rao) . . . . . . . . . . . . . . . . . . 304--307
Joseph M. Mahaffy Book Review: \booktitleThe Dynamics of
Cellular Motility (M. Murase) . . . . . 307--308
H. F. Mattson, Jr. Book Review: \booktitleError Correcting
Codes-Theory and Applications (Alai Poli
and Llorenc Huguet) . . . . . . . . . . 309--313
H. F. Mattson Error Correcting Codes-Theory and
Applications (Alain Poli and Llorenc
Huguet) . . . . . . . . . . . . . . . . 309
Regina Hunter Mladineo Book Review: \booktitleModel Building in
Mathematical Programming (H. P.
Williams) . . . . . . . . . . . . . . . 313--315
William I. Notz Book Review: \booktitleOptimum
Experimental Designs (A. C. Atkinson and
A. N. Donev) . . . . . . . . . . . . . . 315--316
James B. Robertson Book Review: \booktitleContinuous-Time
Markov Chains (W. J. Anderson) . . . . . 316--317
R. C. Rogers Mathematical Problems of Classical
Nonlinear Electromagnetic Theory
(Frederick Bloom) . . . . . . . . . . . 317
D. S. Schmidt Book Review: \booktitleScientific
Programmer's Toolkit --- Turbo Pascal
Edition (M. H. Beilby, R. D. Harding,
and M. R. Manning) . . . . . . . . . . . 319--320
L. Ridgway Scott Book Review: \booktitleHandbook of
Numerical Analysis, Volume II. Finite
Element Methods (Part I) (P. G. Ciarlet
and J. L. Lions, eds.) . . . . . . . . . 320--321
James F. Selgrade Book Review: \booktitleDynamical Systems
--- an Introduction with Applications in
Economics and Biology (Pierre N. V. Tu) 321--322
B. Sturmfels Groebner Bases --- a Computational
Approach to Commutative Algebra (Thomas
Becker and Volker Weispfenning) . . . . 322
Bernd Sturmfels Book Review: \booktitleGröbner Bases ---
a Computational Approach to Commutative
Algebra (Thomas Becker and Volker
Weispfenning) . . . . . . . . . . . . . 323--323
André Vanderbauwhede Book Review: \booktitleTopics in
Bifurcation Theory and Applications
(Gerard Ioss and Moritz Adelmeyer) . . . 323--324
A. Vanderbauwhede Topics in Bifurcation Theory and
Applications (Gerard Iooss and Moritz
Adelmeyer) . . . . . . . . . . . . . . . 323
Yongzhi Xu and
Wei Lin Book Review: \booktitleMethods of
Singular Integral Equations (A.
Dzhuraev) . . . . . . . . . . . . . . . 324--325
Anonymous Selected Collections . . . . . . . . . . 325--327
Anonymous New Members . . . . . . . . . . . . . . 328--340
T. R. Blows and
L. M. Perko Bifurcation of Limit Cycles from Centers
and Separatrix Cycles of Planar Analytic
Systems . . . . . . . . . . . . . . . . 341--376
Björn Jawerth and
Wim Sweldens An Overview of Wavelet Based
Multiresolution Analyses . . . . . . . . 377--412
Robert E. O'Malley, Jr. On Singular Perturbations, Especially
Matching . . . . . . . . . . . . . . . . 413--414
M. Vandyke 19th-Century Roots of the Boundary-Layer
Idea . . . . . . . . . . . . . . . . . . 415--424
Milton Van Dyke Nineteenth-Century Roots of the
Boundary-Layer Idea . . . . . . . . . . 415--424
Julian D. Cole The Development of Perturbation Theory
at Galcit . . . . . . . . . . . . . . . 425--430
Wiktor Eckhaus Fundamental Concepts of Matching . . . . 431--439
A. B. Vasilieva On the Development of Singular
Perturbation Theory at Moscow State
University and Elsewhere . . . . . . . . 440--452
Goong Chen and
Philip J. Morris and
Jian-Xin X. Zhou Visualization of Special Eigenmode
Shapes of a Vibrating Elliptical
Membrane . . . . . . . . . . . . . . . . 453--469
James S. Wolper Turn Performance of Aircraft . . . . . . 470--473
Miriam Seliktar and
Chris Rorres The Flow of Hot Water from a Distant
Hot-Water Tank . . . . . . . . . . . . . 474--479
Shmuel Olek An Accurate Solution to the Multispecies
Lotka--Volterra Equations . . . . . . . 480--488
M. Aslam Chaudhry and
S. M. Zubair Laplace Transform Involving the
Macdonald Function . . . . . . . . . . . 489--489
M. L. Glasser A Nonharmonic Trigonometric Series . . . 489--489
Yunkang Liu A Limit Problem from the Theory of Delay
Equations . . . . . . . . . . . . . . . 490--490
Norbert Ortner A Definite Integral . . . . . . . . . . 490--490
Jeffrey Shallit A Minimization Problem . . . . . . . . . 490--491
H. Holloway and
M. S. Klamkin A Quartic . . . . . . . . . . . . . . . 491--493
Stanley Rabinowitz Book Review: \booktitleA Quartic (H.
Holloway and M. S. Klamkin) . . . . . . 491--493
P. Erd\Hos An Extremal Problem . . . . . . . . . . 493--495
Jean-Louis Nicolas Book Review: \booktitleAn Extremal
Problem (Paul Erd\Hos) . . . . . . . . . 493--495
R. X. Meyer A Unique Vector Sum . . . . . . . . . . 495--496
William C. Waterhouse and
A. A. Jagers Book Review: \booktitleA Unique Vector
Sum (Rudolf K. Meyer) . . . . . . . . . 495--496
R. B. Evans An Integral Relation for Successive
Eigenvalues . . . . . . . . . . . . . . 497--497
Michael Renardy Book Review: \booktitleAn Integral
Relation for Successive Eigenvalues
(Richard B. Evans) . . . . . . . . . . . 497--497
J. Billingham Two Integrals Arising from a
Reaction-Diffusion Problem . . . . . . . 498--499
J. Boersma and
P. J. de Doelder Book Review: \booktitleTwo Integrals
Arising from a Reaction-Diffusion
Problem (John Billingham) . . . . . . . 498--499
Anonymous Errata . . . . . . . . . . . . . . . . . 499--500
Bessy D. Athanasopoulos Book Review: \booktitleMoments in
Probability and Approximation Theory
(George A. Anastassiou) . . . . . . . . 501--502
James V. Beck Book Review: \booktitleThe Mollification
Method and the Numerical Solution of
Ill-Posed Problems (Diego A. Murio) . . 502--503
Peter J. Bickel Book Review: \booktitleInformation
Bounds and Nonparametric Maximum
Likelihood Estimation (Piet Groeneboom
and Jon A. Wellner) . . . . . . . . . . 503--504
Robert L. Devaney Book Review: \booktitleRational
Iteration: Complex Analytic Dynamical
Systems (Norbert Steinmetz) . . . . . . 504--505
R. L. Devaney Book Review: \booktitleComplex Dynamics
(Lennart Carleson and Theodore W.
Gamelin) . . . . . . . . . . . . . . . . 504
Heinz W. Engl Book Review: \booktitleRegularization
Methods for Ill-Posed Problems (V. A.
Morozow) . . . . . . . . . . . . . . . . 505--506
Richard William Farebrother Book Review: \booktitlePitman's Measure
of Closeness --- a Comparison of
Statistical Estimators (Jerome P.
Keating, Robert L. Mason, and Pranab K.
Sen) . . . . . . . . . . . . . . . . . . 507--507
Edward Glass Book Review: \booktitleAn Introduction
to Mathematical Cosmology (J. N. Islam) 507--508
Martin Hanks Book Review: \booktitleConvergence of
Iterations for Linear Equations (Olavi
Nevanlinna) . . . . . . . . . . . . . . 508--509
M. Hanke Convergence of Iterations for Linear
Equations (Olavi Nevanlinna) . . . . . . 508
John Kieffer Book Review: \booktitleElements of
Information Theory (Thomas M. Cover and
Joy A Thomas) . . . . . . . . . . . . . 509--511
Frank Knight Book Review: \booktitleSome Aspects of
Brownian Motion, Part 1 (Marc Yor) . . . 511--512
F. Knight Some Aspects of Brownian Motion, Part 1
(Marc Vor) . . . . . . . . . . . . . . . 511
J. Thomas King Book Review: \booktitleMultigrid Methods
(James H. Bramble) . . . . . . . . . . . 512--514
Erich Novak Book Review: \booktitleInformation-Based
Complexity (by Joseph F. Traub, G. W.
Wasilkowski, and H. Wozniakowski) . . . 514--515
Julian Palmore Book Review: \booktitleChaos, Dynamics
and Fractals: an Algorithmic Approach to
Deterministic Chaos (J. L. McCauley) . . 515--517
Panos M. Pardalos Book Review: \booktitleOptimization
Software Guide (Jorge J. Moré and Stephen
J. Wright) . . . . . . . . . . . . . . . 518--518
Annie Raoult Book Review: \booktitleElliptic
Differential Equations (W. Hackbusch) 518--519
S. Sivaganesan Book Review: \booktitlePredictive
Inference: an Introduction (Seymour
Geisser) . . . . . . . . . . . . . . . . 519--520
S. Sivaganesan Predictive Inference: an Introduction
(Seymour Geisser) . . . . . . . . . . . 519
B. D. Sleeman Book Review: \booktitleInverse Acoustic
and Electromagnetic Scattering Theory
(D. Colton and R. Kress) . . . . . . . . 520--523
Manfred R. Trummer Book Review: \booktitleThe Cauchy
Transform, Potential Theory and
Conformal Mapping (Steven R. Bell) . . . 523--524
Wolfgang Tutschke Book Review: \booktitleTransformations,
Transmutations, and Kernel Functions,
Vol. 1 (H. Begehr and R. P. Gilbert) . . 524--525
Grzegorz W. Wasilkowski Book Review: \booktitleThe Computational
Complexity of Differential and Integral
Equations: an Information-Based Approach
(Arthur G. Werschulz) . . . . . . . . . 525--526
M. Victor Wickerhauser Book Review: \booktitleWavelets:
Algorithms and Applications (Yves Meyer) 526--528
Mladen Victor Wickerhauser Book Review: \em Wavelets: Algorithms
and Applications by Yves Meyer . . . . . 526--528
William A. Gardner Author-s Comment . . . . . . . . . . . . 528--530
W. Gardner Wavelets: Algorithms and Applications
(Yves Meyer): Author's Comment . . . . . 528
Anonymous Selected Collections . . . . . . . . . . 530--531
Anonymous New Members . . . . . . . . . . . . . . 532--536
Stephen D. Casey and
David F. Walnut Systems of Convolution Equations,
Deconvolution, Shannon Sampling, and the
Wavelet and Gabor Transforms . . . . . . 537--577
I. Babuska and
M. Suri The P and H-P Versions of the
Finite-Element Method, Basic Principles
and Properties . . . . . . . . . . . . . 578--632
Ivo Babu\vska and
Manil Suri The $p$ and $h$--$p$ Versions of the
Finite Element Method, Basic Principles
and Properties . . . . . . . . . . . . . 578--632
F. N. H. Robinson Poynting's vector. Comments on a recent
paper by C. Jeffries: ``A new
conservation law for classical
electrodynamics'' [SIAM Rev. \bf 34
(1992), no. 3, 386--405 and MR
93i:78005]. With a reply by Jeffries . . 633--637
Clark Jeffries Poynting's Vector: Comments on a Recent
Paper by Clark Jeffries: Response to a
Commentary by F. N. H. Robinson . . . . 638--641
Kevin Y. K. Ng Symbolic Computations in Operations
Research . . . . . . . . . . . . . . . . 642--648
D. A. Nield Odd-Even Factorization Results for
Eigenvalue Problems . . . . . . . . . . 649--651
John E. Angus The Probability Integral Transform and
Related Results . . . . . . . . . . . . 652--654
R. C. Wittmann and
B. K. Alpert An Integral Occurring in Coherence
Theory . . . . . . . . . . . . . . . . . 655--655
D. B. Jevti\'c A T-Gambler FHMA Ruin . . . . . . . . . 655--656
M. L. Glasser and
J. Boersma and
P. J. de Doelder A Definite Integral . . . . . . . . . . 656--656
M. Meneguette Zeros in the Unit Disk . . . . . . . . . 656--657
G. Blom Overlapping Binary Sequences . . . . . . 657--657
H. Wolkowicz Book Review: \booktitleMatrix
Differentiation Identities (Peter J.
Costa and Stanley Rabinowitz) . . . . . 657--659
H. Wolkowicz Problem Solution 93-17 . . . . . . . . . 657--659
Michael Renardy Book Review: \booktitleAn Operator Limit
(W. Boehm) . . . . . . . . . . . . . . . 659--659
C. C. Grosiean Book Review: \booktitleMaximum
Gravitational Attraction (K. M. Seymour) 660--661
James A. Wilson and
Michael Renardy Book Review: \booktitleA Unique Real
Root (G. M. Gladwell) . . . . . . . . . 661--662
J. A. Wilson and
M. Renardy A Unique Real Root . . . . . . . . . . . 661--662
R. B. Burckel Book Review: \booktitleA History of
Complex Dynamics from Schröder to Fatou
and Julia (Daniel S. Alexander) . . . . 663--664
Nathaniel Chafes Book Review: \booktitleNonlinear
Ordinary Differential Equations (R.
Grimshaw) . . . . . . . . . . . . . . . 664--665
N. Chafee Book Review: \booktitleNonlinear
Ordinary Differential Equations (R.
Grimshaw) . . . . . . . . . . . . . . . 664
T. C. Chang Book Review: \booktitleThe Theory of
Linear Models (Bent Jorgensen) . . . . . 665--666
T. C. Chang Book Review: \booktitleLarge Sample
Methods in Statistics: An Introduction
with Applications (Pranab K. Sen and
Julio M. Singer) . . . . . . . . . . . . 666--666
Richard Churchill Book Review: \booktitleInvertible Point
Transformations and Nonlinear
Differential Equations (Willi-Hans
Steeb) . . . . . . . . . . . . . . . . . 666--666
R. W. Cottle Book Review: \booktitleLinear Programs
and Related Problems (Evar D. Nering and
Albert W. Tucker) . . . . . . . . . . . 666--668
R. Churchill Invertible Point Transformations and
Nonlinear Differential Equations
(Willi-Hans Steeb) . . . . . . . . . . . 666
T. E. Duncan Book Review: \booktitleNumerical Methods
for Stochastic Control Problems in
Continuous Time (Harold J. Kushner and
Paul G. Dupuis) . . . . . . . . . . . . 668--669
Jens Erik Fenstad Book Review: \booktitleHilbert's Tenth
Problem (Y. V. Matiyasevich) . . . . . . 669--671
Kevin Hockett Book Review: \booktitleQualitative
Theory of Dynamical Systems (L. Dingjun
and T. Libang) . . . . . . . . . . . . . 671--672
R. Clarissa Howison Book Review: \booktitleRussian--English,
English--Russian Dictionary on
Probability, Statistics, and
Combinatorics (K. A. Borovkov) . . . . . 672--672
David R. Kincaid Book Review: \booktitleNumerical
Computation Using C (Robert Glassey) . . 672--673
D. R. Kincaid Numerical Computation Using C (Robert
Glassey) . . . . . . . . . . . . . . . . 672
Kelly M. McArthur Book Review: \booktitleNumerical Methods
Based on Sine and Analytic Functions, by
Frank Stenger . . . . . . . . . . . . . 673--674
K. M. McArthur Review: \em Numerical Methods Based on
Sinc and Analytic Functions (Frank
Stenger) . . . . . . . . . . . . . . . . 673--674
K. M. McArthur Numerical Methods Based on Sinc and
Analytic Functions (Frank Stenger) . . . 673
Gunter H. Meyer Book Review: \booktitleApplied Integral
Transforms (M. Ya. Antimirov, A. A.
Kolyshin, and Remi Vaillancourt) . . . . 674--675
N. H. Pavel Book Review: \booktitleFunctional and
Numerical Methods in Viscoplasticity (I.
R. Ionescu and M. Sofonea) . . . . . . . 675--676
Marjorie Senechal Book Review: \booktitleThe Visual Mind
(M. Emmer, ed.) . . . . . . . . . . . . 676--677
Siva Sivaganesan Book Review: \booktitleAn Introduction
to the Bootstrap (Bradley Efron and
Robert J. Tibshirani) . . . . . . . . . 677--678
S. Sivaganesan An Introduction to the Bootstrap
(Bradley Efron and Robert J Tibshirani) 677
Henk van der Vorst Book Review: \booktitleParallel
Numerical Algorithms (T. L. Freeman and
C. Phillips) . . . . . . . . . . . . . . 678--679
Geoff Whittle Book Review: \booktitleOriented Matroids
(A. Bjorner, M. Las Vergnas, B.
Sturmfels, N. White, and G. Ziegler) . . 679--680
Sidney Yakowitz Book Review: \booktitleTime Series
Analysis of Higher Order Crossings (B.
Kedem) . . . . . . . . . . . . . . . . . 680--682
Yinyu Ye Book Review: \booktitleInterior-Point
Polynomial Algorithms in Convex
Programming (Y. Nesterov and A.
Nemirovskii) . . . . . . . . . . . . . . 682--683
Anonymous Selected Collections . . . . . . . . . . 683--686
Anonymous New Members . . . . . . . . . . . . . . 687--689
Anonymous Report of the Treasurer for the Year
Ended December 31, 1993 . . . . . . . . 690--691
Henk J. A. M. Heijmans Mathematical Morphology: a Modern
Approach in Image Processing Based on
Algebra and Geometry . . . . . . . . . . 1--36
Donald G. Saari A Chaotic Exploration of Aggregation
Paradoxes . . . . . . . . . . . . . . . 37--52
C. O. Horgan Anti-plane Shear Deformations in Linear
and Nonlinear Solid Mechanics . . . . . 53--81
Francis J. Vasko and
Kenneth L. Stott Optimizing Continuous Caster Product
Dimensions: An Example of a Nonlinear
Design Problem in the Steel Industry . . 82--84
Arthur T. Benjamin Sensible Rules for Remembering Duals ---
The S--O--B Method . . . . . . . . . . . 85--87
Joseph B. Keller How Many Shuffles to Mix a Deck? . . . . 88--89
Sid Deutsch A Resonant Line Structure Consisting of
Rational Right Triangles . . . . . . . . 90--92
Roberto Bagnara A Unified Proof for the Convergence of
Jacobi and Gauss--Seidel Methods . . . . 93--97
Ma Xin-Rong and
Wang Tian-Ming Two Combinatorial Identities . . . . . . 98--98
M. L. Glasser Exciton Transport . . . . . . . . . . . 98--99
Anonymous Problems and Solutions . . . . . . . . . 98
M. S. Klamkin Non-Symmetric Cyclic Pursuit on a Sphere 99--99
L. A. Skinner Infinite Series of Binomial Coefficients 99--99
D. B. Jevti\'c Sum-Distinct Sets . . . . . . . . . . . 99--100
R. Gulliver and
N. B. Willms A Conjectured Heat-Flow Problem . . . . 100--104
R. Gulliver and
N. B. Willms and
B. Kawohl Book Review: \booktitleA Conjectured
Heat Flow Problem (M. S. Klamkin) . . . 100--105
B. Kawohl A Conjectured Heat-Flow Problem . . . . 104--105
C. C. Grosjean and
I. Nemes and
P. Paule An Infinite Sum from a Diffusion Problem 105--107
István Nemes and
Peter Paule and
James A. Wilson Book Review: \booktitleAn Infinite Sum
from a Diffusion Problem (A. W.
Overhauser and Y J. Kim) . . . . . . . . 105--107
G. Tokarksy An Impossible Pool Shot? . . . . . . . . 107--109
R. G. Buschman Book Review: \booktitleTwo Integrals
Evaluated by Zeta Functions (Barbra S.
Bertram and Otto G. Ruehr) . . . . . . . 110--112
Pascal Préa Book Review: \booktitleOptimal Sensor
Placement in Three Dimensions (Hong
Zhang and Xiaohuan Wang) . . . . . . . . 112--113
P. Prea Optimal Sensor Placement in 3 Dimensions 112--113
Ravi P. Agarwal Book Review: \booktitleGlobal Behavior
of Nonlinear Difference Equations of
Higher Order with Applications (V. L.
Kocic and G. Ladas) . . . . . . . . . . 114--115
V. L. Kocic and
G. Ladas and
Ravi P. Agarwal Global Behavior of Nonlinear Difference
Equations . . . . . . . . . . . . . . . 114
Michael O. Ball Book Review: \booktitleNetwork Flows (R.
K. Ahuja, T. L. Magnanti and J. B.
Orlin) . . . . . . . . . . . . . . . . . 115--116
R. K. Ahuja and
T. L. Magnanti and
J. B. Orlin and
Michael O. Ball Network Flows . . . . . . . . . . . . . 115
J. W. S. Cassels Book Review: \booktitleCatalan's
Conjecture (P. Ribenboim) . . . . . . . 116--117
P. Ribenboim and
J. W. S. Cassels Catalan's Conjecture . . . . . . . . . . 116
C. Corduneanu Book Review: \booktitleEvolutionary
Integral Equations and Applications (J.
Pruss) . . . . . . . . . . . . . . . . . 117--118
J. Pruss and
C. Corduneanu Evolutionary Integral Equations and
Applications . . . . . . . . . . . . . . 117
David Chillingworth Book Review: \booktitleCatastrophe
Theory (Domenico P. L. Cast-Rigiano and
Sandra A. Hayes) . . . . . . . . . . . . 118--119
Domenico P. L. Castrigiano and
Sandra A. Hayes and
David Chillingworth Catastrophe Theory . . . . . . . . . . . 118
Thomas K. Delillo Book Review: \booktitleMoving-Grid
Methods for Time-Dependent Partial
Differential Equations (P. A. Zegeling) 120--121
P. A. Zegeling and
Thomas K. DeLillo Moving-Grid Methods for Time-Dependent
Partial Differential Equations . . . . . 120
A. E. Frazho Book Review: \booktitleSchur's Algorithm
and Several Applications (M. Bakonyi and
T. Constantinescu) . . . . . . . . . . . 121--122
M. Bakonyi and
T. Constantinescu and
A. E. Frazho Schur's Algorithm and Several
Applications . . . . . . . . . . . . . . 121
I. Gladwell Book Review: \booktitleNumerical
Solution of Ordinary Differential
Equations (L. F. Shampine) . . . . . . . 122--123
L. F. Shampine and
I. Gladwell Numerical Solution of Ordinary
Differential Equations . . . . . . . . . 122
Ronald B. Guenther Book Review: \booktitlePartial
Differential Equations in Classical
Mathematical Physics (I. Rubinstein and
L. Rubinstein) . . . . . . . . . . . . . 123--124
I. Rubinstein and
L. Rubinstein and
Ronald B. Guenther Partial Differential Equations in
Classical Mathematical Physics . . . . . 123
Max D. Gunzburger Book Review: \booktitleViscous Vortical
Flows (L. Ting and R. Klein) . . . . . . 124--127
L. Ting and
R. Klein and
Max D. Gunzburger Viscous Vortical Flows . . . . . . . . . 124
Glen Richard Hall Book Review: \booktitleCodes, Puzzles,
and Conspiracy (Dennis Shasha) . . . . . 127--128
Dennis Shasha and
Glen Richard Hall Codes, Puzzles, and Conspiracy . . . . . 127
Christoph M. Hoffmann Book Review: \booktitleComputational
Geometry in C (J. O'Rourke) . . . . . . 128--129
J. O'Rourke and
Christoph M. Hoffmann Computational Geometry in C . . . . . . 128
Philip Holmes Book Review: \booktitleThe Essence of
Chaos (E. N. Lorenz) . . . . . . . . . . 129--131
E. N. Lorenz and
Philip Holmes The Essence of Chaos . . . . . . . . . . 129
W. N. Hudson Book Review: \booktitleOperator-Limit
Distributions in Probability Theory (Z.
J. Jurek and J. D. Mason) . . . . . . . 131--132
Z. J. Jurek and
J. D. Mason and
W. N. Hudson Operator-Limit Distributions in
Probability Theory . . . . . . . . . . . 131
Wolfram Koepf Book Review: \booktitleIntroduction to
Maple (André Heck) . . . . . . . . . . . 132--135
Andre Heck and
Wolfram Koepf Introduction to Maple . . . . . . . . . 132
Kenneth R. Meyer Book Review: \booktitleSingularity
Theory and Equivariant Symplectic Maps
(Thomas J. Bridges and Jacques E.
Furter) . . . . . . . . . . . . . . . . 135--135
Philip Protter Book Review: \booktitleRandom Series and
Stochastic Integrals: Single and
Multiple (Stanislaw Kwapien and Wojbar
A. Woyczynski) . . . . . . . . . . . . . 135--136
Thomas Bridges and
Jacques E. Furter and
Kenneth R. Meyer Singularity Theory and Equivariant
Symplectic Maps . . . . . . . . . . . . 135
Stanislaw Kwapien and
Wojbar A. Woyczynski and
Philip Protter Random Series and Stochastic Integrals:
Single and Multiple . . . . . . . . . . 135
Jeffrey Rauch Book Review: \booktitleRay Methods for
Nonlinear Waves in Fluids and Plasmas
(A. M. Anile, J K Hunter, P. Pantano,
and G. Russo) . . . . . . . . . . . . . 136--137
A. M. Anile and
J. K. Hunter and
P. Pantano and
G. Russo and
Jeffrey Rauch Ray Methods for Nonlinear Waves in
Fluids and Plasmas . . . . . . . . . . . 136
James T. Sandefur Book Review: \booktitleA First Course in
Discrete Dynamical Systems (R. A.
Holmgren) . . . . . . . . . . . . . . . 137--138
R. A. Holmgren and
James T. Sandefur A First Course in Discrete Dynamical
Systems . . . . . . . . . . . . . . . . 137
Hans Triebel Book Review: \booktitleCompleteness of
Root Functions of Regular Differential
Operators (S. Yakubov) . . . . . . . . . 138--138
S. Yakubov and
Hans Triebel Completeness of Root Functions of
Regular Differential Operators . . . . . 138
Anonymous Selected Collections . . . . . . . . . . 139--141
Anonymous New Members . . . . . . . . . . . . . . 142--148
Anonymous Chronicle . . . . . . . . . . . . . . . 142
Anonymous Elected and Appointed Officials . . . . 149--149
Jack J. Dongarra and
David W. Walker Software Libraries for Linear Algebra
Computations on High Performance
Computers . . . . . . . . . . . . . . . 151--180
Richard F. Hartl and
Suresh P. Sethi and
Raymond G. Vickson A Survey of the Maximum Principles for
Optimal Control Problems with State
Constraints . . . . . . . . . . . . . . 181--218
Mark Levi and
Warren Weckesser Stabilization of the Inverted Linearized
Pendulum by High Frequency Vibrations 219--223
K. Veseli\'c Finite Catenary and the Method of
Lagrange . . . . . . . . . . . . . . . . 224--229
Frank H. Mathis and
Lenora Jane Mathis A Nonlinear Programming Algorithm for
Hospital Management . . . . . . . . . . 230--234
David M. Lazoff and
Alan T. Sherman Expected Wire Length between Two
Randomly Chosen Terminals . . . . . . . 235--235
M. L. Glasser An Integral Arising in Computing the
Energy of Crystals . . . . . . . . . . . 235--236
Cecil C. Rousseau and
Otto G. Ruehr Problems and solutions . . . . . . . . . 235--250
Philip Korman Periodic Solutions of a Differential
Equation . . . . . . . . . . . . . . . . 236--236
Paul A. Roediger A Conditional Trace Inequality . . . . . 236--236
Norbert Ortner and
Peter Wagner A Series of Bessel Functions . . . . . . 236--237
Mahmoud H. Annaby Book Review: \booktitleExistence of a
Boundary-Value Problem with Prescribed
Eigenvalues (Ahmed I. Zayed) . . . . . . 237--239
M. H. Annaby Existence of a Boundary-Value Problem
with Prescribed Eigenvalues . . . . . . 237--239
D. B. Jevti\'c A Number Theory Problem from
Multiple-Access Adder Channels . . . . . 240--241
Brian Michalowski Book Review: \booktitlePath of a Car (R.
C. Moore) . . . . . . . . . . . . . . . 241--244
B. Michalowski Path of a Car . . . . . . . . . . . . . 241--244
Paul H. Roberts Book Review: \booktitleOn the Ratio of
Two Double Integrals (D. E. Loper) . . . 244--245
P. H. Roberts On the Ratio of Two Double Integrals . . 244--245
R. J. Chapman Book Review: \booktitleA Toeplitz Matrix
Eigenproblem (R. W. Cox) . . . . . . . . 245--249
J. Chapman A Toeplitz Matrix Eigenproblem . . . . . 245--249
W. B. Jordan and
C. C. Grosjean and
Ernst W. Mayer Book Review: \booktitleA Possible
Characterization of Uniformly
Accelerated Motion (M. S. Klamkin) . . . 249--250
W. B. Jordan A Possible Characterization of Uniformly
Accelerated Motion . . . . . . . . . . . 249--250
Anonymous Errata . . . . . . . . . . . . . . . . . 250--250
W. Boehm An Operator Limit (Vol 36, Pg 659, 1994) 250--250
Karen Ames Book Review: \booktitleAn Introduction
to Nonlinear Partial Differential
Equations (J. D. Logan) . . . . . . . . 251--252
J. D. Logan and
Karen Ames An Introduction to Nonlinear Partial
Differential Equations . . . . . . . . . 251
Alan L. Andrew Book Review: \booktitleNumerical
Solution of Sturm--Liouville Problems
(John D. Pryce) . . . . . . . . . . . . 252--253
John D. Pryce and
Alan L. Andrew Numerical Solution of Sturm--Liouville
Problems . . . . . . . . . . . . . . . . 252
David F. Findley Book Review: \booktitleTime Series:
Forecasting, Simulation, Applications
(Gareth Janacek and Louise Swift) . . . 253--257
Gareth Janacek and
Louise Swift and
David F. Findley Time Series: Forecasting, Simulation,
Applications . . . . . . . . . . . . . . 253
J. D. Gibbon Book Review: \booktitleIntroduction to
Multidimensional Integrable Equations
(B. G. Konopelchenko) . . . . . . . . . 257--258
B. G. Konopelchenko and
J. D. Gibbon Introduction to Multidimensional
Integrable Equations . . . . . . . . . . 257
Daniel Keenan Book Review: \booktitleGeneral Pattern
Theory: a Mathematical Study of Regular
Structures (U. Grenander) . . . . . . . 258--261
U. Grenander and
Daniel Keenan General Pattern Theory: a Mathematical
Study of Regular Structures . . . . . . 258
Jana Jure\'cková Book Review: \booktitleNon-Standard Rank
Tests (A. Janssen and D. M. Mason) . . . 261--262
A. Janssen and
D. M. Mason and
Jana Jureckova Non-Standard Rank Tests . . . . . . . . 261
Suzanne Lenhart Book Review: \booktitleMarkov Models and
Optimization (M. H. A. Davis) . . . . . 262--263
M. H. A. Davis and
Suzanne Lenhart Markov Models and Optimization . . . . . 262
Otto Liess Book Review: \booktitleLinear Partial
Differential Operators in Gevrey Spaces
(Luigi Rodino) . . . . . . . . . . . . . 263--264
Luigi Rodino and
Otto Liess Linear Partial Differential Operators in
Gevrey Spaces . . . . . . . . . . . . . 263
C. Wayne Mastin Book Review: \booktitleFundamentals of
Grid Generation (P. Knupp and S.
Steinberg) . . . . . . . . . . . . . . . 264--265
P. Knupp and
S. Steinberg and
C. Wayne Mastin Fundamentals of Grid Generation . . . . 264
Jean Mawhin Book Review: \booktitleDuality and
Perturbation Methods in Critical Point
Theory (N. Ghoussoub) . . . . . . . . . 265--266
N. Ghoussoub and
Jean Mawhin Duality and Perturbation Methods in
Critical Point Theory . . . . . . . . . 265
Steve McCormick Book Review: \booktitleMathematical
Computational Techniques for Multilevel
Adaptive Methods (U. Rüde) . . . . . . . 266--269
U. Rude and
Steve McCormick Mathematical Computational Techniques
for Multilevel Adaptive Methods . . . . 266
Kenneth R. Meyer Book Review: \booktitleNormal Forms and
Bifurcation of Planar Vector Fields
(Shee-Nee Chow, Chengzhi Li, and Duo
Wang) . . . . . . . . . . . . . . . . . 269--270
Shee-Nee Chow and
Chengzhi Li and
Duo Wang and
Kenneth R. Meyer Normal Forms and Bifurcation of Planar
Vector Fields . . . . . . . . . . . . . 269
Guy Nason Book Review: \booktitleModel-Free Curve
Estimation (M. E. Tartar and M. D. Lock) 270--271
M. E. Tartar and
M. D. Lock and
Guy Nason Model-Free Curve Estimation . . . . . . 270
Paul D. Orkwis Book Review: \booktitleNumerical
Solutions of the Euler Equations for
Steady Flow Problems (Albrecht Eberle,
Arthur Rizzi, and Ernst Heinrich
Hirschel) . . . . . . . . . . . . . . . 271--272
Albrecht Eberle and
Arthur Rizzi and
Ernst Heinrich Hirschel and
Paul D. Orkwis Numerical Solutions of the Euler
Equations for Steady Flow Problems . . . 271
Matthias Gelbrich and
Werner Römisch Book Review: \booktitleNumerical
Solution of Stochastic Differential
Equations (Peter E. Kloeden and Eckhard
Platen) . . . . . . . . . . . . . . . . 272--275
Peter E. Kloeden and
Eckhard Platen and
Matthias Gelbrich and
Werner Romisch Numerical Solution of Stochastic
Differential Equations . . . . . . . . . 272
Amos Ron Book Review: \booktitleBox Splines (C.
de Boor, K. Hollig, and S.
Riemenschneider) . . . . . . . . . . . . 275--276
C. de Boor and
K. Hollig and
S. Riemenschneider and
Amos Ron Box Splines . . . . . . . . . . . . . . 275
Robert D. Skeel Book Review: \booktitleNumerical
Hamiltonian Problems (J. M. Sanz-Serna
and M. P. Calvo) . . . . . . . . . . . . 277--279
J. M. Sanz-Serna and
M. P. Calvo and
Robert D. Skeel Numerical Hamiltonian Problems . . . . . 277
Juergen Scheurle Book Review: \booktitleThe
Couette--Taylor Problem (Pascal Chossat
and Gerard boss) . . . . . . . . . . . . 279--280
Pascal Chossat and
Gerard Iooss and
Juergen Scheurle The Couette--Taylor Problem . . . . . . 279
Douglas S. Shafer Book Review: \booktitleNonlinear
Dynamics and Chaos: With Applications to
Physics, Biology, Chemistry, and
Engineering (Steven H. Strogatz) . . . . 280--281
Steven H. Strogatz and
Douglas S. Shafer Nonlinear Dynamics and Chaos: With
Applications to Physics Biology,
Chemistry, and Engineering . . . . . . . 280
Rod Taber Book Review: \booktitleThe Fuzzy Systems
Handbook: a Practitioner's Guide to
Building, Using, and Maintaining Fuzzy
Systems (Earl Cox) . . . . . . . . . . . 281--282
Earl Cox and
Rod Taber The Fuzzy Systems Handbook: a
Practitioner's Guide to Building, Using,
and Maintaining Fuzzy Systems . . . . . 281
Anonymous Selected Collections . . . . . . . . . . 282--286
Anonymous Later Editions . . . . . . . . . . . . . 286--287
Anonymous New Members . . . . . . . . . . . . . . 288--296
Anonymous Chronicle . . . . . . . . . . . . . . . 288
Thomas Kailath and
Ali H. Sayed Displacement Structure --- Theory and
Applications . . . . . . . . . . . . . . 297--386
Jeffrey S. Rosenthal Convergence Rates for Markov Chains . . 387--405
J. Boersma and
J. Molenaar Geometry of the Shoulder of a Packaging
Machine . . . . . . . . . . . . . . . . 406--422
Stephen M. Alessandrini A Motivational Example for the Numerical
Solution of Two-Point Boundary-Value
Problems . . . . . . . . . . . . . . . . 423--427
Norbert Ortner and
Peter Wagner Series, the Convergence of which Should
be Interpreted in the Sense of L.
Schwartz's Distributions . . . . . . . . 428--435
Pratap N. Sahay Spherical Harmonics Representation of an
Inhomogeneous Plane Wave . . . . . . . . 436--438
William G. Hawkins Analytic Study of the Post Attenuation
Correction Algorithm . . . . . . . . . . 439--440
Anonymous Problems and Solutions . . . . . . . . . 439
Ping Hui Integrals of Bessel and Elliptic
Functions from Heat Conduction . . . . . 440--440
M. V. Bartuccelli and
S. A. Gourley A Conjecture Concerning an Integral
Arising in Population Modelling . . . . 440--441
Rudolf X. Meyer Motion of a String . . . . . . . . . . . 441--441
Murray S. Klamkin A Characterization of Uniformly
Accelerated Motion . . . . . . . . . . . 441--442
Allen R. Miller Book Review: \booktitleLaplace Transform
Involving the Macdonald Function (M.
Aslam Chaudhry and S. M. Zubair) . . . . 442--443
A. R. Miller Laplace Transform Involving the
Macdonald Function . . . . . . . . . . . 442--443
M. L. Glasser A Nonharmonic Trigonometric Series . . . 443--445
J. Boersma Book Review: \booktitleA Nonharmonic
Trigonometric Series (M. L. Glasser) . . 443--448
R. J. Chapman Untitled . . . . . . . . . . . . . . . . 445--448
Yunkang Liu A Limit Problem from the Theory of Delay
Equations . . . . . . . . . . . . . . . 448--450
M. L. Glasser Book Review: \booktitleA Definite
Integral (Norbert Ortner) . . . . . . . 450--451
N. Ortner A Definite Integral . . . . . . . . . . 450--451
Carl C. Grosjean and
Hans E. de Meyer Book Review: \booktitleA Minimization
Problem (Jeffrey Shallit) . . . . . . . 451--458
J. Shallit A Minimization Problem . . . . . . . . . 451--458
Ravi P. Agarwal Book Review: \booktitleNonstandard
Finite Difference Models of Differential
Equations (Ronald E. Mickens) . . . . . 459--459
R. J. Beran Book Review: \booktitleComputer
Intensive Statistical Methods (J. S.
Urban Hjorth) . . . . . . . . . . . . . 459--460
J. S. Urban Hjorth and
R. J. Beran Computer Intensive Statistical Methods 459
Ronald E. Mickens and
Ravi P. Agarwal Nonstandard Finite Difference Models of
Differential Equations . . . . . . . . . 459
Len Bos Book Review: \booktitleComputer Aided
Geometric Design (Josef Hoschek and
Dieter Lasser) . . . . . . . . . . . . . 460--461
Josef Hoschek and
Dieter Lasser and
Len Bos Computer Aided Geometric Design . . . . 460
K. M. Brucks Book Review: \booktitleOne-dimensional
Dynamics (W. de Melo and S. van Strien) 461--462
W. de Melo and
S. van Strien and
K. M. Brucks One-dimensional Dynamics . . . . . . . . 461
Wai Chan Book Review: \booktitleModelling
Covariances and Latent Variables Using
EQS (G. Dunn, B. Everitt, and A.
Pickles) . . . . . . . . . . . . . . . . 462--464
G. Dunn and
B. Everitt and
A. Pickles and
Wai Chan Modelling Covariances and Latent
Variables Using EQS . . . . . . . . . . 462
Frederick Gass Book Review: \booktitleUnderstanding the
Infinite (Shaughan Lavine) . . . . . . . 464--466
Shaughan Lavine and
Frederick Gass Understanding the Infinite . . . . . . . 464
Martin Hanke Book Review: \booktitleIterative
Solution Methods (Owe Axeisson) . . . . 466--467
Owe Axelsson and
Martin Hanke Iterative Solution Methods . . . . . . . 466
K. S. Havner Book Review: \booktitleMathematical
Modelling of Inelastic Deformation (J.
F. Besseling and E. van der Giessen) . . 467--468
J. F. Besseling and
E. van der Giessen and
K. S. Havner Mathematical Modelling of Inelastic
Deformation . . . . . . . . . . . . . . 467
Alan Jeferey Book Review: \booktitleCharacteristics
of Distributed Parameter Systems (A. G.
Butkovskiy and L. M. Pustyl'nikov) . . . 468--469
A. G. Butkovskiy and
L. M. Pustyl'nikov and
Alan Jeffrey Characteristics of Distributed Parameter
Systems . . . . . . . . . . . . . . . . 468
Philip Korman Book Review: \booktitleAn Introduction
to Partial Differential Equations (M.
Renardv and R. C. Rogers) . . . . . . . 469--470
M. Renardy and
R. C. Rogers and
Philip Korman An Introduction to Partial Differential
Equations . . . . . . . . . . . . . . . 469
Gregory F. Lawler Book Review: \booktitleAspects and
Applications of the Random Walk (G. H.
Weiss) . . . . . . . . . . . . . . . . . 470--471
G. H. Weiss and
Gregory F. Lawler Aspects and Applications of the Random
Walk . . . . . . . . . . . . . . . . . . 470
Alexander Mielke Book Review: \booktitleAsymptotic
Behaviour of Solutions of Evolutionary
Equations (M. I. Vishik) . . . . . . . . 471--472
M. I. Vishik and
Alexander Mielke Asymptotic Behaviour of Solutions of
Evolutionary Equations . . . . . . . . . 471
Kenneth J. Palmer Book Review: \booktitleNormally
Hyperbolic Invariant Manifolds in
Dynamical Systems (Stephen Wiggins) . . 472--472
Joseph E. Pasciak Book Review: \booktitleThe Mathematical
Theory of Finite Element Methods
(Susanne C. Brenner and L. Ridgway
Scott) . . . . . . . . . . . . . . . . . 472--473
Susanne C. Brenner and
L. Ridgway Scott and
Joseph E. Pasciak The Mathematical Theory of Finite
Element Methods . . . . . . . . . . . . 472
Stephen Wiggins and
Kenneth J. Palmer Normally Hyperbolic Invariant Manifolds
in Dynamical Systems . . . . . . . . . . 472
Jörg Peters Book Review: \booktitleGeometric
Concepts for Geometric Design (W. Boehm
and H. Prautzsch) . . . . . . . . . . . 473--474
W. Boehm and
H. Prautzsch and
Jorg Peters Geometric Concepts for Geometric Design 473
Alexander Shapiro Book Review: \booktitleMonotone
Structure in Discrete-Event Systems (P.
Glasserman and D. D. Yao) . . . . . . . 474--474
Peter A. Loeb Book Review: \booktitleNonstandard
Methods in the Calculus of Variations
(Curtis Tuckey) . . . . . . . . . . . . 474--475
P. Glasserman and
D. D. Yao and
Alexander Shapiro Monotone Structure in Discrete-Event
Systems . . . . . . . . . . . . . . . . 474
Curtis Tuckey and
Peter A. Loeb Nonstandard Methods in the Calculus of
Variations . . . . . . . . . . . . . . . 474
Ian W. McKeague Book Review: \booktitleStatistical
Models Based on Counting Processes (P.
K. Andersen, Ò. Borgan; R. D. Gill, and
N. Keiding) . . . . . . . . . . . . . . 475--476
P. K. Andersen and
O. Borgan and
R. D. Gill and
N. Keiding and
Ian W. McKeague Statistical Models Based on Counting
Processes . . . . . . . . . . . . . . . 475
D. L. Russel Book Review: \booktitleRepresentation
and Control of Infinite Dimensional
Systems, Vols. 1 and 2 (A. Bensonssan,
G. Da Prato, M. Delfour, and S. Mitter) 476--477
A. Bensoussan and
G. Da Prato and
M. Delfour and
S. Mitter and
D. L. Russell Representation and Control of Infinite
Dimensional Systems, Vols. 1 and 2 . . . 476
Y. L. Tong Book Review: \booktitleStochastic Orders
and Their Applications (Moshe Shaked and
J. George Shanthikumar) . . . . . . . . 477--479
Moshe Shaked and
J. George Shanthikumar and
Y. L. Tong Stochastic Orders and their Applications 477
Franz Winkler Book Review: \booktitleAlgorithmic
Algebra (B. Mishra) . . . . . . . . . . 479--479
V. A. Yakubovich Book Review: \booktitleLinear Matrix
Inequalities in System and Control
Theory (S. Boyd, L. E. Ghaoui, E. Feron,
and V. Balakrishnan) . . . . . . . . . . 479--481
S. Boyd and
L. E. Ghaoui and
E. Feron and
V. Balakrishnan and
V. A. Yakubovich Linear Matrix Inequalities in System and
Control Theory . . . . . . . . . . . . . 479
B. Mishra and
Franz Winkler Algorithmic Algebra . . . . . . . . . . 479
Anonymous Selected Collections . . . . . . . . . . 481--484
Anonymous Later Editions . . . . . . . . . . . . . 484--485
Anonymous Chronicle . . . . . . . . . . . . . . . 486--489
Anonymous New Members . . . . . . . . . . . . . . 486--489
C. O. Horgan Korn's Inequalities and Their
Applications in Continuum Mechanics . . 491--511
Moody T. Chu and
Robert E. Funderlic and
Gene H. Golub A Rank-One Reduction Formula and Its
Applications to Matrix Factorizations 512--530
Tjalling J. Ypma Historical Development of the
Newton--Raphson Method . . . . . . . . . 531--551
Joseph W. Jerome The Approximation Problem for
Drift-Diffusion Systems . . . . . . . . 552--572
Michael W. Berry and
Susan T. Dumais and
Gavin W. O'Brien Using Linear Algebra for Intelligent
Information Retrieval . . . . . . . . . 573--595
A. N. Al-Hussaini A Unified Proof of Two Theorems in
Statistics . . . . . . . . . . . . . . . 596--597
Stephen G. Penrice Applying Elementary Probability Theory
to the NBA Draft Lottery . . . . . . . . 598--602
T. O. Espelid On Floating-Point Summation . . . . . . 603--607
M. L. Glasser A Function Arising in One-Dimensional
Percolation . . . . . . . . . . . . . . 608--608
E. O. George A Property of the Logistic Distribution 608--609
Anonymous Problems and Solutions . . . . . . . . . 608
Brian Sutin An Inequality in Gravitational Theory 609--609
Joe Keane Expansions for Elementary Functions . . 609--610
Marc Chamberland A Problem from Integral Geometry . . . . 610--610
R. I. Joseph Book Review: \booktitleAn Integral
Occurring in Coherence Theory (R. C.
Wittman and B. K. Alpert) . . . . . . . 610--615
J. Boersma and
M. L. Glasser Book Review: \booktitleA Definite
Integral (M. L. Glasser, J. Boersma and
P. J. de Doelder) . . . . . . . . . . . 615--618
Vincent Blondel Book Review: \booktitleZeros in the Unit
Disk (M. Meneguetle) . . . . . . . . . . 619--619
O. P. Lossers Book Review: \booktitleOverlapping
Binary Sequences (G. Blom) . . . . . . . 619--620
J. D. Aplevich Book Review: \booktitleFirst-Order
Representations of Linear Systems
(Margreet Kuijper) . . . . . . . . . . . 621--622
Margreet Kuijper and
J. D. Aplevich First-order Representations of Linear
Systems . . . . . . . . . . . . . . . . 621
Claude Bardos Book Review: \booktitleThe Mathematical
Theory of Dilute Gases (C. Cercignani,
R. Illner, and M. Pulvierenti) . . . . . 622--624
C. Cercignani and
R. Illner and
M. Pulvierenti and
Claude Bardos The Mathematical Theory of Dilute Gases 622
Michael Frazier Book Review: \booktitleA Friendly Guide
to Wavelets (Gerald Kaiser) . . . . . . 624--626
Gerald Kaiser and
Michael Frazier A Friendly Guide to Wavelets . . . . . . 624
H. I. Freedman Book Review: \booktitlePeriodic Motions
(Miklós Farkas) . . . . . . . . . . . . . 626--626
E. Gallopoulos Book Review: \booktitleParallel
Computing Using the Prefix Problem (S.
Lakshmivarahan and Sudarshan K. Dhall) 626--628
Miklos Farkas and
H. I. Freedman Periodic Motions . . . . . . . . . . . . 626
S. Lakshmivarahan and
Sudarshan K. Dhall and
E. Gallopoulos Parallel Computing Using the Prefix
Problem . . . . . . . . . . . . . . . . 626
Edward J. Gilroy Book Review: \booktitleStatistical
Methods for Groundwater Monitoring
(Robert D. Gibbons) . . . . . . . . . . 628--629
Robert D. Gibbons and
Edward J. Gilroy Statistical Methods for Groundwater
Monitoring . . . . . . . . . . . . . . . 628
Christopher W. Myers and
Frank H. Guenther Book Review: \booktitle4An Introduction
to the Modeling of Neural Networks (P.
Peretto) . . . . . . . . . . . . . . . . 629--632
P. Peretto and
Christopher W. Myers and
Frank H. Guenther An Introduction to the Modeling of
Neural Networks . . . . . . . . . . . . 629
Philip Korman Book Review: \booktitleAnalysis and
Control of Nonlinear Infinite
Dimensional Systems (Viorel Barbu) . . . 633--633
Brian D. Marx Book Review: \booktitleMultivariate
Statistical Modelling Based on
Generalized Linear Models (Ludwig
Fahrmeir and Gerhard Tutz) . . . . . . . 633--634
Viorel Barbu and
Philip Korman Analysis and Control of Nonlinear
Infinite Dimensional Systems . . . . . . 633
Ludwig Fahrmeir and
Gerhard Tutz and
Brian D. Marx Multivariate Statistical Modelling Based
on Generalized Linear Models . . . . . . 633
George L. O'Brien Book Review: \booktitleLaws of Small
Numbers: Extremes and Rare Events
(Michael Falk, Jurg Husler, and
Rolf-Dieter Reiss) . . . . . . . . . . . 634--635
Michael Falk and
Jurg Husler and
Rolf-Dieter Reiss and
George L. O'Brien Laws of Small Numbers: Extremes and Rare
Events . . . . . . . . . . . . . . . . . 634
S. Panchapakesan Book Review: \booktitleMeasurement,
Regression, and Calibration (Philip J.
Brown) . . . . . . . . . . . . . . . . . 635--636
Philip J. Brown and
S. Panchapakesan Measurement, Regression, and Calibration 635
Ewald Quak Book Review: \booktitleMathematical
Aspects of Geometric Modeling (Charles
A. Micchelli) . . . . . . . . . . . . . 636--637
Charles A. Micchelli and
Ewald Quak Mathematical Aspects of Geometric
Modeling . . . . . . . . . . . . . . . . 636
Michael Renardy Book Review: \booktitleNonlinear
Problems of Elasticity (Stuart S.
Antman) . . . . . . . . . . . . . . . . 637--637
Yasutaka Sibuya Book Review: \booktitleThe
Riemann--Hilbert Problem (D. V. Anosov
and A. A. Bolibruch) . . . . . . . . . . 637--639
D. V. Anosov and
A. A. Bolibruch and
Yasutaka Sibuya The Riemann--Hilbert Problem . . . . . . 637
Stuart S. Antman and
Michael Renardy Nonlinear Problems of Elasticity . . . . 637
Russell Walker Book Review: \booktitleDynamical
Systems: Stability, Dynamics, and Chaos
(Clark Robinson) . . . . . . . . . . . . 639--640
Clark Robinson and
Russell Walker Dynamical Systems: Stability, Dynamics,
and Chaos . . . . . . . . . . . . . . . 639
Jiongmin Yong Book Review: \booktitleControl under
Lack of Information (A. N. Krasovskii
and N. N. Krasovskii) . . . . . . . . . 640--641
A. N. Krasovskii and
N. N. Krasovskii and
Jiongmin Yong Control Under Lack of Information . . . 640
Anonymous Selected Collections . . . . . . . . . . 641--643
Anonymous Later Editions . . . . . . . . . . . . . 643--643
Anonymous New Members . . . . . . . . . . . . . . 644--645
Anonymous Chronicle . . . . . . . . . . . . . . . 644
Anonymous Report of the Treasurer for the Year
Ended December 31, 1994 . . . . . . . . 646--647
Alan H. Karp Bit Reversal on Uniprocessors . . . . . 1--26
Paul Binding and
Hans Volkmer Eigencurves for Two-Parameter
Sturm--Liouville Equations . . . . . . . 27--48
Lieven Vandenberghe and
Stephen Boyd Semidefinite Programming . . . . . . . . 49--95
Eivind Stensholt Circle Pictograms for Vote Vectors . . . 96--119
Mansour Eslami On the Extension of a Stability Bound:
The Multiple Large-Parameter Variations
Case . . . . . . . . . . . . . . . . . . 120--127
D. L. Bosley A Technique for the Numerical
Verification of Asymptotic Expansions 128--135
Yves Nievergelt Intersections of Planes and Helices, Or
Lines and Sinusoids . . . . . . . . . . 136--145
Tae Chalker and
Joshua Radcliff An Integral Arising in the Study of a
Random Graph . . . . . . . . . . . . . . 146--146
Riccardo Fazio Existence and Uniqueness for a Boundary
Value Problem . . . . . . . . . . . . . 146--147
Anonymous Problems and Solutions . . . . . . . . . 146
Glenn Leddder An Integral from a Stefan Problem . . . 147--147
Kam Chuen Ng Sequences with Unique Sums and
Differences . . . . . . . . . . . . . . 147--147
Dennis S. Bernstein Some Matrix Integral Identities . . . . 147--148
D. R. Breach Two combinatorial identities . . . . . . 148--149
D. R. Breach and
C. Krattenthaler and
Marcus Schorn Book Review: \booktitleTwo Combinatorial
Identities (Ma Xin-Bong and Wang
Tian-Ming) . . . . . . . . . . . . . . . 148--152
C. Krattenthaler Two combinatorial identities . . . . . . 149--150
M. Schorn Two combinatorial identities . . . . . . 150--151
J. Boersma and
Robin Chapman Book Review: \booktitleExciton Transport
(M. L. Glasser) . . . . . . . . . . . . 152--153
J. Boersma Two combinatorial identities . . . . . . 152--153
H. E. De Meyer and
C. C. Grosjean Book Review: \booktitleNonsymmetric
Cyclic Pursuit on a Sphere (M. S.
Klamkin) . . . . . . . . . . . . . . . . 153--155
Carl C. Grosjean Book Review: \booktitleInfinite Series
of Binomial Coefficients (L. A. Skinner) 155--158
C. C. Grosjean Nonsymmetric cyclic pursuit on a sphere 156--158
Lowell W. Beineke Book Review: \booktitlePearls in Graph
Theory: a Comprehensive Introduction
(Nora Hartsfield and Gerhard Ringel) . . 159--159
Nora Hartsfield and
Gerhard Ringel and
Lowell W. Beineke Pearls in Graph Theory: a Comprehensive
Introduction . . . . . . . . . . . . . . 159
Charles K. Chui Book Review: \booktitleAdapted Wavelet
Analysis from Theory to Software (Mladen
Victor Wickerhauser) . . . . . . . . . . 160--160
J. M. Cushing Book Review: \booktitleThe Theory of the
Chemostat: Dynamics of Microbial
Competition (Hal L. Smith and Paul
Waltman) . . . . . . . . . . . . . . . . 160--161
Hal L. Smith and
Paul Waltman and
J. M. Cushing The Theory of the Chemostat: Dynamics of
Microbial Competition . . . . . . . . . 160
Mladen Victor Wickerhauser and
Charles K. Chui Adapted Wavelet Analysis from Theory to
Software . . . . . . . . . . . . . . . . 160
Wayne Eberly Book Review: \booktitlePolynomial and
Matrix Computations Volume 1:
Fundamental Algorithms (Dario Bini and
Victor Pan) . . . . . . . . . . . . . . 161--165
Dario Bini and
Victor Pan and
Wayne Eberly Polynomial and Matrix Computations
Volume 1: Fundamental Algorithms . . . . 161
Alan Genz Book Review: \booktitleLattice Methods
for Multiple Integration (I. H. Sloan
and S. Joe) . . . . . . . . . . . . . . 165--166
I. H. Sloan and
S. Joe and
Alan Genz Lattice Methods for Multiple Integration 165
Ronald Getoor Book Review: \booktitleDirichlet Forms
and Symmetric Markov Processes
(Masatoshi Fukushima, Yoichi Oshima, and
Masayoshi Takeda) . . . . . . . . . . . 166--167
Masatoshi Fukushima and
Yoichi Oshima and
Masayoshi Takeda and
Ronald Getoor Dirichlet Forms and Symmetric Markov
Processes . . . . . . . . . . . . . . . 166
Arjun K. Gupta Book Review: \booktitleApplied
Discriminant Analysis (Carl J. Huberty) 167--168
Carl J. Huberty and
Arjun K. Gupta Applied Discriminant Analysis . . . . . 167
Evans M. Harrell II Book Review: \booktitleThe Complex WKB
Method for Nonlinear Equations 1: Linear
Theory (Victor P. Maslov) . . . . . . . 168--171
Victor P. Maslov and
Evans M. Harrell II The Complex WKB Method for Nonlinear
Equations 1: Linear Theory . . . . . . . 168
Michael S. Jolly Book Review: \booktitleExponential
Attractors for Dissipative Evolution
Equations (A. Eden, C. Foias, B.
Nicolaenko, and R. Témam) . . . . . . . . 171--172
A. Eden and
C. Foias and
B. Nicolaenko and
R. Temam and
Michael S. Jolly Exponential Attractors for Dissipative
Evolution Equations . . . . . . . . . . 171
Arthur J. Krener Book Review: \booktitleTheory of
Chattering Control (M. I. Zelikin and V.
F. Borisov) . . . . . . . . . . . . . . 172--173
M. I. Zelikin and
V. F. Borisov and
Arthur J. Krener Theory of Chattering Control . . . . . . 172
Marialuisa N. McAllister Book Review: \booktitleFuzzy Logic: a
Practical Approach (M. McNeill and E.
Thro) . . . . . . . . . . . . . . . . . 173--174
M. McNeill and
E. Thro and
Marialuisa N. McAllister Fuzzy Logic: a Practical Approach . . . 173
Marialuisa N. McAllister Book Review: \booktitleFuzzy Logic with
Engineering Applications (Timothy Ross) 174--175
Timothy Ross and
Marialuisa N. McAllister Fuzzy Logic with Engineering
Applications . . . . . . . . . . . . . . 174
William Q. Meeker Book Review: \booktitleSystem
Reliability Theory: Models and
Statistics Methods (Arnljot Hòyland and
Marvin Rausand) . . . . . . . . . . . . 175--177
Arnljot Hoyland and
Marvin Rausand and
William Q. Meeker System Reliability Theory: Models and
Statistics Methods . . . . . . . . . . . 175
Philip Protter Book Review: \booktitleNumerical
Solution of SDE through Computer
Experiments (P. E. Kloeden, E. Platen,
and H. Schurz) . . . . . . . . . . . . . 177--178
P. E. Kloeden and
E. Platen and
H. Schurz and
Philip Protter Numerical Solution of SDE through
Computer Experiments . . . . . . . . . . 177
Jean Serra Book Review: \booktitleMorphological
Image Operators (Henk J. A. M. Heijmans) 178--179
Henk J. A. M. Heijmans and
Jean Serra Morphological Image Operators . . . . . 178
Jayant Shah Book Review: \booktitleVariational
Methods in Image Segmentation
(Jean-Michel Morel and Sergio Solimini) 179--180
Jean-Michel Morel and
Sergio Solimini and
Jayant Shah Variational Methods in Image
Segmentation . . . . . . . . . . . . . . 179
Richard Swanson Book Review: \booktitleIntroduction to
the Modern Theory of Dynamical Systems
(Anatole Katok and Boris Hasselblatt) 180--181
Anatole Katok and
Boris Hasselblatt and
Richard Swanson Introduction to the Modern Theory of
Dynamical Systems . . . . . . . . . . . 180
Gennadi Vainikko Book Review: \booktitleApproximation
Procedures in Nonlinear Oscillation
Theory (Nikolai A. Bobylev, Yuri M.
Burman, and Sergey K. Korovin) . . . . . 181--182
Nikolai A. Bobylev and
Yuri M. Burman and
Sergey K. Korovin and
Gennadi Vainikko Approximation Procedures in Nonlinear
Oscillation Theory . . . . . . . . . . . 181
Anonymous Selected Collections . . . . . . . . . . 182--184
Anonymous Errata . . . . . . . . . . . . . . . . . 184--184
Anonymous New Members . . . . . . . . . . . . . . 185--188
Anonymous Chronicle . . . . . . . . . . . . . . . 185
Anonymous Elected and Appointed Officials . . . . 189--189
Catherine Bandle and
Martin Flucher Harmonic Radius and Concentration of
Energy; Hyperbolic Radius and
Liouville's Equations $ \Delta U = e^U $
and $ \Delta U = U^{\frac {n + 2}{n -
2}} $ . . . . . . . . . . . . . . . . . 191--238
Fayez A. Alhargan A Complete Method for the Computations
of Mathieu Characteristic Numbers of
Integer Orders . . . . . . . . . . . . . 239--255
R. S. Cantrell and
C. Cosner Models for Predator-Prey Systems at
Multiple Scales . . . . . . . . . . . . 256--286
R. B. Guenther and
J. A. Gottsch and
D. B. Kramer The Herglotz Algorithm for Constructing
Canonical Transformations . . . . . . . 287--293
K. A. Morris and
K. J. Taylor A Variational Calculus Approach to the
Modelling of Flexible Manipulators . . . 294--305
R. R. Burnside and
P. B. Guest A simple proof of the transposed $ {QR}
$ algorithm . . . . . . . . . . . . . . 306--308
William F. Ford Clarification of: ``Turn performance of
aircraft'' [SIAM Rev. \bf 36 (1994), no.
3, 470--473] by J. S. Wolper . . . . . . 309--312
M. L. Glasser An Integral from Electron Gas Theory . . 313--313
Robert E. Terrell Matrix Exponentials . . . . . . . . . . 313--314
Anonymous Problems and Solutions . . . . . . . . . 313
Bradley K. Alpert Condition Number of a Vandermonde Matrix 314--314
Edward Neuman Three Inequalities for the Arithmetic,
Identric, and Geometric Means . . . . . 315--315
Bo Yuan and
George J. Klir and
Jiri Fridrich A Projection Inequality . . . . . . . . 315--315
J. E. Wilkins, Jr. An Integral Inequality . . . . . . . . . 316--319
Quan-Ru Zuo Book Review: \booktitleExtensions of
Routh's Theorem to Spherical Triangles
(A. Sharma and Murray S. Klamkin) . . . 319--320
W. Boehm and
Carl C. Grosjean and
W. Weston Meyer and
David M. Lazoff Book Review: \booktitleExpected Wire
Length Between Two Randomly Chosen
Terminals (David M. Lazoff) . . . . . . 321--324
W. Boehm Expected wire length between two
randomly chosen terminals . . . . . . . 321--324
Mourad E. H. Ismail Book Review: \booktitleAn Integral
Arising in Computing the Energy of
Crystals (M. L. Glassar) . . . . . . . . 324--324
M. E. H. Ismail An integral arising in computing the
energy of crystals . . . . . . . . . . . 324--324
R. R. Burnside and
William C. Waterhouse Book Review: \booktitleA Conditional
Trace Inequality (Paul A. Roediger) . . 324--326
R. R. Burnside and
W. C. Waterhouse A conditional trace inequality . . . . . 325--326
Hongwei Chen Book Review: \booktitlePeriodic
Solutions of a Differential Equation
(Philip Korman) . . . . . . . . . . . . 326--328
H. W. Chen Periodic solutions of a differential
equation . . . . . . . . . . . . . . . . 327--328
Robin Chapman and
Norbert Ortner and
Peter Wagner Book Review: \booktitleA Series of
Bessel Functions (Norbert Ortner and
Peter Wagner) . . . . . . . . . . . . . 328--332
R. Chapman A series of Bessel functions . . . . . . 329--332
Jonathan M. Borwein and
Rob M. Corless Book Review: \booktitleThe Encyclopedia
of Integer Sequences, by N. J. A. Sloane
and Simon Plouffe. Academic Press, San
Diego, CA, 1995. \$44.95. xii + 587 pp.,
hardcover. ISBN 0-12-558630-2} . . . . . 333--337
N. J. A. Sloane and
Simon Plouffe and
J. M. Borwein and
R. M. Corless The Encyclopedia of Integer Sequences 333
Carlo Cercignani Book Review: \booktitleTransport
Simulation in Microelectronics (Alfred
Kersch and William J. Morokoff) . . . . 337--341
Alfred Kersch and
William J. Morokoff and
Carlo Cercignani Transport Simulation in Microelectronics 337
Ellis Cumberbatch Book Review: \booktitleIndustrial
Mathematics: a Course in Solving
Real-World Problems (Avner Friedman and
Walter Littman) . . . . . . . . . . . . 341--342
Avner Friedman and
Walter Littman and
Ellis Cumberbatch Industrial Mathematics: a Course in
Solving Real-World Problems . . . . . . 341
Jürgen Gerlach Book Review: \booktitleMathematical
Analysis in Engineering (Chiang C. Mei) 342--342
Mary C. Hill Book Review: \booktitleInverse Problems
in Groundwater Modeling (Ne-Zheng Sun) 342--347
Chiang C. Mei and
Jurgen Gerlach Mathematical Analysis in Engineering . . 342
Ne-Zheng Sun and
Mary C. Hill Inverse Problems in Groundwater Modeling 342
Mikhael Kovalyov Book Review: \booktitleGlobal Classical
Solutions for Quasilinear Hyperbolic
Systems (Li Ta-Tsien) . . . . . . . . . 347--348
Li Ta-tsien and
Mikhael Kovalyov Global Classical Solutions for
Quasilinear Hyperbolic Systems . . . . . 347
Roger L. Kraft Book Review: \booktitleHyperbolicity &
Sensitive Chaotic Dynamics at Homoclinic
Bifurcations (J. Palis and F. Taken) . . 348--349
J. Palis and
F. Takens and
Roger L. Kraft Hyperbolicity and Sensitive Chaotic
Dynamics at Homoclinic Bifurcations . . 348
H. N. Nagaraja Book Review: \booktitleThe Inverse
Gaussian Distribution: a Case Study in
Exponential Families (V. Seshadri) . . . 350--350
R. H. Rand Book Review: \booktitleApplied Nonlinear
Dynamics: Analytical, Computational and
Experimental Methods (Ali H. Nayfeh and
Balakumar Balachandran) . . . . . . . . 350--352
Ali H. Nayfeh and
Balakumar Balachandran and
R. H. Rand Applied Nonlinear Dynamics: Analytical,
Computational and Experimental Methods 350
V. Seshadri and
H. N. Nagaraja The Inverse Gaussian Distribution: a
Case Study in Exponential Families . . . 350
Srdjan Stojanovic Book Review: \booktitleOptimal Control
Theory for Infinite Dimensional Systems
(Xunjing Li and Jiongmin Yong) . . . . . 352--353
Xunjing Li and
Jiong-min Yong and
Srdjan Stojanovic Optimal Control Theory for Infinite
Dimensional Systems . . . . . . . . . . 352
Thomas P. Svobodny Book Review: \booktitleAdjoint Equations
and Analysis of Complex Systems (Guri I.
Marchuk) . . . . . . . . . . . . . . . . 353--355
Guri I. Marchuk and
Thomas P. Svobodny Adjoint Equations and Analysis of
Complex Systems . . . . . . . . . . . . 353
Anonymous Selected Collections . . . . . . . . . . 355--357
Anonymous Later Editions . . . . . . . . . . . . . 357--358
Anonymous New Members . . . . . . . . . . . . . . 359--365
Anonymous Chronicle . . . . . . . . . . . . . . . 359
Heinz H. Bauschke and
Jonathan M. Borwein On Projection Algorithms for Solving
Convex Feasibility Problems . . . . . . 367--426
Raymond H. Chan and
Michael K. Ng Conjugate Gradient Methods for Toeplitz
Systems . . . . . . . . . . . . . . . . 427--482
C. Philipsen and
S. Markvorsen and
W. Kliem Modelling the Stem Curve of a Palm in a
Strong Wind . . . . . . . . . . . . . . 483--484
Donald F. Winter Erratum and reformulation: ``On the stem
curve of a tall palm in a strong wind''
[SIAM Rev. \bf 35 (1993), no. 4,
567--579, MR 94g:73028] . . . . . . . . 485--486
D. F. Winter On the stem curve of a tall palm in a
strong wind (vol 35, pg 567, 1993) . . . 485--486
Barry S. Thornton and
W. T. Hung Catastrophe Theory Implications for
Rightsizing when Planning Interim
Solutions for Progressing from a Partial
Mainframe to Client-Server Distributed
Databases: $3$D Previewing of Possible
Problems . . . . . . . . . . . . . . . . 487--495
Stephen P. Huestis The Use of Linear Programming in the
Construction of Extremal Solutions to
Linear Inverse Problems . . . . . . . . 496--506
I. E. Leonard The Matrix Exponential . . . . . . . . . 507--512
Matthew Roughan and
Kenneth Pope The Determinant of a Triangular-Block
Matrix . . . . . . . . . . . . . . . . . 513--514
Anonymous Problems and Solutions . . . . . . . . . 513
J. Van der Jeugt and
C. C. Grosjean A Hermite Polynomial Identity . . . . . 514--514
M. Aslam Chaudhry and
Asghar Qadir and
M. Rafique and
S. M. Zubair A Definite Integral in Probability
Theory . . . . . . . . . . . . . . . . . 514--515
Roy North An Integral . . . . . . . . . . . . . . 515--515
Anthony Sofo Real Roots of Polynomials . . . . . . . 515--515
Carl C. Grosjean Book Review: \booktitleExtreme
Gravitational Attraction (M. S. Klamkin) 515--520
C. C. Grosjean Extreme gravitational attraction . . . . 515--520
N. Ortner Analytic study of the post attenuation
correction algorithm . . . . . . . . . . 520--522
Norbert Ortner Book Review: \booktitleAnalytic Study of
the Post Attenuation Correction
Algorithm (William G. Hawkins and
Stephen Glick) . . . . . . . . . . . . . 520--522
Carl C. Grosjean Book Review: \booktitleIntegrals of
Bessel and Elliptic Functions from Heat
Conduction (Ping Hui) . . . . . . . . . 523--524
C. C. Grosjean Integrals of Bessel and elliptic
functions from heat conduction . . . . . 523--524
P. J. Aston and
M. V. Bartuccelli and
S. A. Gourley Book Review: \booktitleA Conjecture
Concerning an Integral Arising in
Population Modelling (M. V. Bartuccelli
and S. A. Gourley) . . . . . . . . . . . 524--525
W. B. Jordan A characterization of uniformly
accelerated motion . . . . . . . . . . . 525--526
Michael Renardy and
W. B. Jordan Book Review: \booktitleA
Characterization of Uniformly
Accelerated Motion (Murray S. Klamkin) 525--526
Wlodzimierz Bryc Book Review: \booktitleLimit Theorems of
Probability Theory: Sequences of
Independent Random Variables (Valentin
V. Petrov) . . . . . . . . . . . . . . . 527--527
Morris L. Eaton Book Review: \booktitleParametric
Statistical Theory (Johann Pfanzagl) . . 527--529
Valentin V. Petrov and
Wlodzimierz Bryc Limit Theorems of Probability Theory:
Sequences of Independent Random
Variables . . . . . . . . . . . . . . . 527
Johann Pfanzagl and
Morris L. Eaton Parametric Statistical Theory . . . . . 527
Daniel F. Heitjan Book Review: \booktitleObservational
Studies (Paul R. Rosenbaum.
Springer-Verlag) . . . . . . . . . . . . 529--529
Paul R. Rosenbaum and
Daniel F. Heitjan Observational Studies . . . . . . . . . 529
Weizhang Huang Book Review: \booktitleMoving Finite
Elements (M. J. Baines) . . . . . . . . 530--531
M. J. Baines and
Weizhang Huang Moving Finite Elements . . . . . . . . . 530
Yuji Kodama Book Review: \booktitleOptimization and
Dynamical Systems (Uwe Helmke and John
B. Moore) . . . . . . . . . . . . . . . 531--533
Uwe Helmke and
John B. Moore and
Yuji Kodama Optimization and Dynamical Systems . . . 531
Jean Mawhin Book Review: \booktitleAsymptotics of
Nonlinearities and Operator Equations
(Alexander M. Krasnosel'skii) . . . . . 533--535
Alexander M. Krasnosel'skii and
Jean Mawhin Asymptotics of Nonlinearities and
Operator Equations . . . . . . . . . . . 533
Kenneth R. Meyer Book Review: \booktitleMath into \LaTeX:
an Introduction to \LaTeX and AmS-\LaTeX
(George Gräztzer) . . . . . . . . . . . . 535--535
George Grotzes and
Kenneth R. Meyer Math into LATEX: An Introduction to
LATEX and AMS-LATEX . . . . . . . . . . 535
K. A. Morris Book Review: \booktitleAn Introduction
to Infinite-Dimensional Linear System
Theory (R. F. Curtain and H. J. Zwart) 536--537
R. F. Curtain and
H. J. Zwart and
K. A. Morris An Introduction to Infinite-Dimensional
Linear System Theory . . . . . . . . . . 536
Serge Nicaise Book Review: \booktitleModeling,
Analysis and Control of Dynamic Elastic
Multi-Link Structures (J. E. Lagnese, G.
Leugeuring, and E. J. P. G. Schmidt.
Birkhäuser) . . . . . . . . . . . . . . . 537--538
J. E. Lagnese and
G. Leugeuring and
E. J. P. G. Schmidt and
Serge Nicaise Modeling, Analysis and Control of
Dynamic Elastic Multi-Link Structures 537
Robert E. O'Malley, Jr. Book Review: \booktitleIntroduction to
Perturbation Methods (M. H. Holmes) . . 538--538
Kenneth J. Palmer Book Review: \booktitleGlobal Dynamics,
Phase Space Transport, Orbits Homoclinic
to Resonances, and Applications (Stephen
Wiggins) . . . . . . . . . . . . . . . . 538--539
M. H. Holmes and
Robert E. O'Malley, Jr. Introduction to Perturbation Methods . . 538
Stephen Wiggins and
Kenneth J. Palmer Global Dynamics, Phase Space Transport,
Orbits Homoclinic to Resonances, and
Applications . . . . . . . . . . . . . . 538
R. H. Rand Book Review: \booktitlePerturbation
Methods in the Computer Age (David C.
Wilcox) . . . . . . . . . . . . . . . . 539--540
David C. Wilcox and
R. H. Rand Perturbation Methods in the Computer Age 539
Michael Taylor Book Review: \booktitleThe Technique of
Pseudodifferential Operators (H. O.
Cordes) . . . . . . . . . . . . . . . . 540--542
H. O. Cordes and
Michael Taylor The Technique of Pseudodifferential
Operators . . . . . . . . . . . . . . . 540
Jinchao Xu Book Review: \booktitleMultigrid Methods
for Finite Elements (V. V. Shaidurov) 542--543
V. V. Shaidurov and
Jinchao Xu Multigrid Methods for Finite Elements 542
Jinchao Xu Book Review: \booktitleMultigrid Methods
for Process Simulation (W. Joppich and
S. Mijalkovic) . . . . . . . . . . . . . 543--543
Zhiping You and
James A. Yorke Book Review: \booktitleMathematical Go
Chilling Gets the Last Point (Elwyn
Berlekamp and David Wolfe) . . . . . . . 543--544
Elwyn Berlekamp and
David Wolfe and
Zhiping You and
James A. Yorke Mathematical Go Chilling Gets the Last
Point . . . . . . . . . . . . . . . . . 543
W. Joppich and
S. Mijalkovic and
Jinchao Xu Multigrid Methods for Process Simulation 543
Anonymous Selected Collections . . . . . . . . . . 544--546
Anonymous Later Editions . . . . . . . . . . . . . 546--546
Anonymous New Members . . . . . . . . . . . . . . 547--551
Anonymous Chronicle . . . . . . . . . . . . . . . 547
Anonymous Changes Planned for SIAM Review . . . . vii--viii
Manuel Núñez The Decay Of Axisymmetric Magnetic
Fields: a Review Of Cowling's Theorem 553--564
Hans Koch and
Alain Schenkel and
Peter Wittwer Computer-Assisted Proofs in Analysis and
Programming in Logic: a Case Study . . . 565--604
Joel Langer and
David A. Singer Lagrangian Aspects of the Kirchhoff
Elastic Rod . . . . . . . . . . . . . . 605--618
J. M. Pearson and
N. G. Lloyd and
C. J. Christopher Algorithmic Derivation Of Centre
Conditions . . . . . . . . . . . . . . . 619--636
T. E. Wood Vertex Latitudes on Ellipsoid Geodesics 637--644
William C. Waterhouse Some Boundary Problems with Even or Odd
Solutions . . . . . . . . . . . . . . . 645--646
B. U. Nguyen and
D. Nguyen Optimal Intercept Course of Vessels to a
Nonzero Range . . . . . . . . . . . . . 647--649
Marvin D. Troutt and
Hussein H. Elsaid The Potential Value of Saaty's
Eigenvector Scaling Method for
Short-Term Forecasting of Currency
Exchange Rates . . . . . . . . . . . . . 650--654
J. Duncan and
D. Khavinson and
H. Shapiro Rectangular Parallelepipeds in
Ellipsoids . . . . . . . . . . . . . . . 655--657
William F. Ford and
James A. Pennline Accelerated Convergence in Newton's
Method . . . . . . . . . . . . . . . . . 658--659
Hassan Sedaghat Geometric Properties of Factorable
Planar Systems of Differential Equations 660--665
J. G. Simmonds Analytic Functions, Ideal Fluid Flow,
and Bernoulli's Equation . . . . . . . . 666--667
Glenn R. Ierley A Combinatorial Expression from
Oceanography . . . . . . . . . . . . . . 668--668
Ping Hui Integrals from Heat Conduction . . . . . 668--669
Anonymous Problems and Solutions . . . . . . . . . 668
M. L. Glasser Parlon Integrals . . . . . . . . . . . . 669--669
Liqun Xu The Volume of the Intersection of a Cube
and a Ball in $N$-Space . . . . . . . . 669--669
M. Aslam Chaudhry and
S. M. Zubair A Semi-Infinite Integral Involving the
Macdonald Function . . . . . . . . . . . 669--670
Carl C. Grosjean Book Review: \booktitleOptimal Sensor
Placement (Hong Zhang and Xiaohuan Wang) 670--671
C. C. Grosjean Optimal sensor placement . . . . . . . . 670--671
J. Boersma Book Review: \booktitleA Function
Arising in One-Dimensional Percolation
(M. L. Glasser) . . . . . . . . . . . . 671--675
Joe Keane Book Review: \booktitleExpansions for
Elementary Functions (Joe Keane) . . . . 675--678
J. Keane Expansions for elementary functions . . 675--678
Robin Chapman Book Review: \booktitleA Problem from
Integral Geometry (Marc Chamberland) . . 678--679
R. Chapman A problem from integral geometry . . . . 678--679
Ovide Arino Book Review: \booktitleOscillation
Theory for Functional Differential
Equations (L. H. Erbe, Q. K. Kong, and
B. G. Zhang) . . . . . . . . . . . . . . 680--681
L. H. Erbe and
Q. K. Kong and
B. G. Zhang and
Ovide Arino Oscillation Theory for Functional
Differential Equations . . . . . . . . . 680
John R. Brige Book Review: \booktitleStochastic
Programming (Peter Kall and Stein W.
Wallace.) . . . . . . . . . . . . . . . 681--682
Peter Kall and
Stein W. Wallace and
John R. Birge Stochastic Programming . . . . . . . . . 681
Helmut Brakhage Book Review: \booktitleConjugate
Gradient Type Methods for Ill-Posed
Problems (Martin Hanke) . . . . . . . . 682--683
Martin Hanke and
Helmut Brakhage Conjugate Gradient Type Methods for
Ill-Posed Problems . . . . . . . . . . . 682
Michael D. Collins Book Review: \booktitleOcean Acoustic
Tomography (W. Munk, P. Worcester, and
C. Wunsch) . . . . . . . . . . . . . . . 683--684
W. Munk and
P. Worcester and
C. Wunsch and
Michael D. Collins Ocean Acoustic Tomography . . . . . . . 683
T. Constantinescu Book Review: \booktitleTime-Varying
Discrete Linear Systems (Aristide
Halanay and Vlad Ionescu ) . . . . . . . 684--685
Aristide Halanay and
Vlad Ionescu and
T. Constantinescu Time-Varying Discrete Linear Systems . . 684
H. Scott Dumas Book Review: \booktitleIntermediate
Classical Dynamics with Applications to
Beam Physics (Leo Michelotti) . . . . . 685--687
Leo Michelotti and
H. Scott Dumas Intermediate Classical Dynamics With
Applications to Beam Physics . . . . . . 685
R. Farwig Book Review: \booktitleNavier--Stokes
Equations and Nonlinear Functional
Analysis (Roger Temam) . . . . . . . . . 687--689
Roger Temam and
R. Farwig Navier--Stokes Equations and Nonlinear
Functional Analysis . . . . . . . . . . 687
A. Feinberg Book Review: \booktitleMarkov Decision
Processes: Discrete Stochastic Dynamic
Programming (Martin L. Puterman) . . . . 689--689
Peter Hajnal Book Review:
\booktitleDavenport--Schinzel Sequences
and Their Geometric Applications (Micha
Sharir and Pankaj K. Agarwal) . . . . . 689--691
Martin L. Puterman and
Eugene A. Feinberg Markov Decision Processes: Discrete
Stochastic Dynamic Programming . . . . . 689
Micha Sharir and
Pankaj K. Agarwal and
Peter Hajnal Davenport--Schinzel Sequences and Their
Geometric Applications . . . . . . . . . 689
Lucas Jódar Book Review: \booktitleLyapunov Matrix
Equation in System Stability and Control
(Zoran Gajic and Muhammad Tahir Javed
Qureshi) . . . . . . . . . . . . . . . . 691--691
Bruce Kellogg Book Review: \booktitleCRC Standard
Mathematical Tables and Formulae (Daniel
Zwillinger, ed.) . . . . . . . . . . . . 691--692
Zoran Gajic and
Muhammad Tahir Javed Qureshi and
Lucas Jodar Lyapunov Matrix Equation in System
Stability and Control . . . . . . . . . 691
Daniel Zwillinger and
Bruce Kellogg CRC Standard Mathematical Tables and
Formulae . . . . . . . . . . . . . . . . 691
Howard Levine Book Review: \booktitleBlow-Up in
Quasilinear Parabolic Equations (A. A.
Samarskii, V. A. Galaktionov, S. P.
Kurdyumov, and A. P. Mikhailov) . . . . 692--694
A. A. Samarskii and
V. A. Galaktionov and
S. P. Kurdyumov and
A. P. Mikhailov and
Howard Levine Blow-up in Quasilinear Parabolic
Equations . . . . . . . . . . . . . . . 692
Volker Mehrmann Book Review: \booktitleAlgebraic Riccati
Equations (Peter Lancaster and Leiba
Rodman) . . . . . . . . . . . . . . . . 694--695
Peter Lancaster and
Leiba Rodman and
Volker Mehrmann Algebraic Riccati Equations . . . . . . 694
Edward Ott Book Review: \booktitleChaotic Behavior
of Deterministic Dissipative Systems
(Milos Marek and Igor Schreiber) . . . . 695--696
Milos Marek and
Igor Schreiber and
Edward Ott Chaotic Behavior of Deterministic
Dissipative Systems . . . . . . . . . . 695
N. Reid Book Review: \booktitleSaddlepoint
Approximations (Jens Ledet Jensen) . . . 696--697
Jens Ledet Jensen and
N. Reid Saddlepoint Approximations . . . . . . . 696
Robert C. Rogers Book Review: \booktitleMathematical
Methods for Geo-Electromagnetic
Induction (J. T. Weaver) . . . . . . . . 697--698
J. T. Weaver and
Robert C. Rogers Mathematical Methods for
Geo-Electromagnetic Induction . . . . . 697
Donald G. Saari Book Review: \booktitleGame Theory and
Strategy (Philip D. Straffin);
Mathematics and Politics (Alan D.
Taylor) . . . . . . . . . . . . . . . . 698--700
Philip D. Straffin and
Donald G. Saari Game Theory and Strategy . . . . . . . . 698
Alan D. Taylor and
Donald G. Saari Mathematics and Politics . . . . . . . . 698
P. G. Saffman Book Review: \booktitleFluid Dynamics
for Physicists (T. E. Faber) . . . . . . 700--702
T. E. Faber and
P. G. Saffman Fluid Dynamics for Physicists . . . . . 700
John Sylvester Book Review: \booktitleGeometric
Scattering Theory (Richard B. Melrose) 702--703
Richard B. Melrose and
John Sylvester Geometric Scattering Theory . . . . . . 702
R. W. Thatcher Book Review: \booktitleInfinite Element
Methods (Lung-an Ying) . . . . . . . . . 703--705
Lung-an Ying and
R. W. Thatcher Infinite Element Methods . . . . . . . . 703
Walter Van Assche Book Review: \booktitlePolynomials and
Polynomial Inequalities (P. Borwein and
T. Erdélyi) . . . . . . . . . . . . . . . 705--706
P. Borwein and
T. Erdelyi and
Walter Van Assche Polynomials and Polynomial Inequalities 705
Jet Wimp Book Review: \booktitleAsymptotic
Analysis: a Distributional Approach (R.
Estrada and R. P. Kanwal) . . . . . . . 706--711
R. Estrada and
R. P. Kanwal and
Jet Wimp Asymptotic Analysis: a Distributional
Approach . . . . . . . . . . . . . . . . 706
A. H. Zemanian Book Review: \booktitleThe
Transmission-Line Modeling Method TLM
(Christos Christopolous) . . . . . . . . 711--711
Yin Zhang Book Review: \booktitleLinear
Programming: a Modern Integrated
Analysis (Romesh Saigal) . . . . . . . . 711--712
Christos Christopolous and
A. H. Zemanian The Transmission-Line Modeling Method
TLM . . . . . . . . . . . . . . . . . . 711
Romesh Saigal and
Yin Zhang Linear Programming: a Modern Integrated
Analysis . . . . . . . . . . . . . . . . 711
Anonymous Selected Collections . . . . . . . . . . 712--715
Anonymous New Members . . . . . . . . . . . . . . 716--719
Anonymous Chronicle . . . . . . . . . . . . . . . 716
Anonymous Report of the Treasurer for the Year
Ended December 31, 1995 . . . . . . . . 720--721
Anonymous Changes Planned for SIAM Review . . . . vii--viii
Tobin A. Driscoll Eigenmodes of Isospectral Drums . . . . 1--17
Panayot S. Vassilevski On Two Ways of Stabilizing the
Hierarchical Basis Multilevel Methods 18--53
Alan Edelman The Mathematics of the Pentium Division
Bug . . . . . . . . . . . . . . . . . . 54--67
A. M. Balk New Conservation Laws for the
Interaction of Nonlinear Waves . . . . . 68--94
John E. Angus Classroom Note: The Inspection Paradox
Inequality . . . . . . . . . . . . . . . 95--97
J. E. Angus The inspection paradox inequality . . . 95--97
Jon Lee Classroom Note: Hoffman's Circle
Untangled . . . . . . . . . . . . . . . 98--105
J. Lee Hoffman's circle untangled . . . . . . . 98--105
M. R. Roussel An analytic center manifold for a simple
epidemiological model . . . . . . . . . 106--109
Marc R. Roussel Classroom Note: An Analytic Center
Manifold For a Simple Epidemiological
Model . . . . . . . . . . . . . . . . . 106--109
François Dubeau Classroom Note: Horizontal Circular
Curves and Cubics . . . . . . . . . . . 110--117
F. Dubeau Horizontal circular curves and cubics 110--117
David A. Peters Classroom Note: Optimum Spring-Damper
Design For Mass Impact . . . . . . . . . 118--122
D. A. Peters Optimum spring-damper design for mass
impact . . . . . . . . . . . . . . . . . 118--122
Horst Alzer and
Joel Benner Problems: An Inequality (Problem 97-1) 123--123
P. Krishnarao Problems: An Integral for Valuation of
Spread Options (Problem 97-2) . . . . . 123--123
Cecil C. Rousseau and
Otto G. Ruehr and
Editors Problems and Solutions . . . . . . . . . 123--141
Christian Constanda Problems: Composition Formulae for
Boundary Operators (Problem 97-3) . . . 124--125
Yongji Wang Problems: Existence and Uniqueness for a
Variational Problem (Problem 97-4) . . . 125--126
C. C. Grosjean and
J. Van der Jeugt Problems: a Laguerre Polynomial Identity
(Problem 97-5) . . . . . . . . . . . . . 126--126
G. Auchmuty An inequality in gravitational theory 126--135
Giles Auchmuty Solutions: An Inequality in
Gravitational Theory (Problem 95-18)
(Brian Sutin) . . . . . . . . . . . . . 126--135
V. Adamchik An integral arising in the study of a
random graph . . . . . . . . . . . . . . 135--136
Victor Adamchik Solutions: An Integral Arising in the
Study of a Random Graph (Problem 96-1)
(Tae Chalker) . . . . . . . . . . . . . 135--136
M. Renardy Existence and uniqueness for a boundary
value problem . . . . . . . . . . . . . 136--138
Michael Renardy and
Robert E. Terrell Solutions: Existence and Uniqueness for
a Boundary Value Problem (Problem 96-2)
(Ricardo Fazio) . . . . . . . . . . . . 136--138
Jean-Marie Bienfait and
Pascal Préa and
Yann Vaxes Solutions: Sequences with Unique Sums
and Differences (Problem 96-3) (Kim
Chuen Ng) . . . . . . . . . . . . . . . 138--140
J. M. Bienfait and
P. Prea and
Y. Vaxes Sequences with unique sums and
differences . . . . . . . . . . . . . . 138--140
M. L. Glasser Solutions: An Integral from a Stefan
Problem (Problem 96-4) (Glenn Ledder) 141--141
Mark Berliner Book Review: Bayesian Theory, by Jose M.
Bernardo and Adrian F. M. Smith . . . . 142--144
Anonymous Book Reviews . . . . . . . . . . . . . . 142--178
Rick Durrett Book Review: Applied Stochastic
Processes: a Biostatistics and
Population Oriented Approach, by
Suddhendu Biswas . . . . . . . . . . . . 144--144
Wm. J. Firey Book Review: Geometric Tomography
Encyclopedia of Mathematics and its
Applications. Vol. 58, by Richard J.
Gardner . . . . . . . . . . . . . . . . 144--145
Peter M. Gibson Book Review: Matrices of Sign-Solvable
Linear Systems, by Richard A. Brualdi
and Bryan L. Shader . . . . . . . . . . 145--146
Leon W. Green Book Review: Dynamical Systems of
Algebraic Origin, by Klaus Schmidt . . . 146--148
Allan Gut Book Review: Probability Theory: An
Advanced Course, by Vivek S. Borkar . . 149--150
Bernard Helffer Book Review: Introduction to Spectral
Theory, with Applications to Schrödinger
Operators, by P. D. Hislop and I. M.
Sigal . . . . . . . . . . . . . . . . . 150--152
Robert Hermann Book Review: Introduction to Mechanics
and Symmetry, by Jerrold E. Marsden and
Tudor S. Ratiu . . . . . . . . . . . . . 152--152
David R. Kincaid Book Review: Afternotes on Numerical
Analysis, by G. W. Stewart . . . . . . . 153--153
Gary M. Lieberman Book Review: Linear and Quasilinear
Parabolic Problems. Volume 1: Abstract
Linear Theory, by Herbert Amann . . . . 153--154
J. David Logan Book Review: Modelling Mathematical
Methods and Scientific Computation, by
Nicola Bellomo and Luigi Preziosi . . . 154--156
Anne C. Morlet Book Review: Water Waves: Relating
Modern Theory to Advanced Engineering
Practice, by Matiur Rahman . . . . . . . 156--157
Frantisek Neuman Book Review: Finite Sums Decompositions
in Mathematical Analysis, by
Themistocles M. Rassias and Jaromir
Simsa . . . . . . . . . . . . . . . . . 157--159
Adri Olde Daalhuis Book Review: Borel--Laplace Transform
and Asymptotic Theory: Introduction to
Resurgent Analysis, by Boris Yu Sternin
and Victor E. Shatalov . . . . . . . . . 159--161
Ulrich Rüde Book Review: The Splitting Extrapolation
Method, by C. B. Liem and T. Lü and T. M.
Shih . . . . . . . . . . . . . . . . . . 161--162
Ramalingam Shanmugam Book Review: Asymptotic Efficiency of
Nonparametric Tests, by Yakov Nikitin 162--163
Joseph J. Shirron Book Review: Handbook of Radiation and
Scattering of Waves, by Adrianus T. de
Hoop . . . . . . . . . . . . . . . . . . 163--164
G. W. Stewart Book Review: Accuracy and Stability of
Numerical Algorithms, by Nicholas J.
Higham . . . . . . . . . . . . . . . . . 164--166
Rod Taber Book Review: Fuzzy Logic for Business
and Industry, by Earl D. Cox . . . . . . 166--168
Michael E. Taylor Book Review: Fourier Integral Operators,
by J. J. Duistermaat . . . . . . . . . . 169--171
David Walnut Book Review: Wavelets: An Analysis Tool,
by M. Holschneider . . . . . . . . . . . 172--174
Anonymous Selected Collections . . . . . . . . . . 174--176
Anonymous Later Editions . . . . . . . . . . . . . 177--178
Anonymous Chronicle . . . . . . . . . . . . . . . 179--185
Victor Y. Pan Solving a Polynomial Equation: Some
History and Recent Progress . . . . . . 187--220
S. D. Howison and
J. D. Morgan and
J. R. Ockendon A Class of Codimension-Two Free Boundary
Problems . . . . . . . . . . . . . . . . 221--253
Ilse C. F. Ipsen Computing an Eigenvector with Inverse
Iteration . . . . . . . . . . . . . . . 254--291
Luis A. Fernández Classroom Note: On the Limits of the
Lagrange Multiplier Rule . . . . . . . . 292--297
L. A. Fernandez On the limits of the Lagrange multiplier
rule . . . . . . . . . . . . . . . . . . 292--297
Manuel Delgado Classroom Note: The Lagrange--Charpit
Method . . . . . . . . . . . . . . . . . 298--304
M. Delgado The Lagrange--Charpit method . . . . . . 298--304
John Karro and
Chi-Kwong Li Classroom Note: a Unified Elementary
Approach to Canonical Forms of Matrices 305--309
J. Karro and
C. K. Li A unified elementary approach to
canonical forms of matrices . . . . . . 305--309
Kelly Black Classroom Note: Putting Constraints in
Optimization for First-Year Calculus
Students . . . . . . . . . . . . . . . . 310--312
K. Black Putting constraints in optimization for
first-year calculus students . . . . . . 310--312
Russell M. Reid Classroom Note: Some Eigenvalue
Properties of Persymmetric Matrices . . 313--316
R. M. Reid Some eigenvalue properties of
persymmetric matrices . . . . . . . . . 313--316
Cecil C. Rousseau and
Otto G. Ruehr and
Editors Problems and Solutions . . . . . . . . . 317--332
Anonymous An extremal problem . . . . . . . . . . 319--324
Anonymous Periodic solutions of a differential
equation . . . . . . . . . . . . . . . . 324--325
C. C. Grosjean and
W. B. Jordan An integral from electron gas theory . . 325--327
S. Steinberg Matrix exponentials . . . . . . . . . . 327--330
H. J. Seiffert Three inequalities for the arithmetic,
identric, and geometric means . . . . . 330--332
Borislav Bojanov Book Review: \em Selected Topics in
Approximation and Computation, by Marek
A. Kowalski, Krzysztof A. Sikorski, and
Frank Stenger . . . . . . . . . . . . . 333--334
R. B. Kellogg Book Reviews . . . . . . . . . . . . . . 333--374
Mike Boyle Book Review: \em An Introduction to
Symbolic Dynamics and Coding, by Douglas
Lind and Brian Marcus . . . . . . . . . 334--335
David L. Coulton Book Review: \em An Introduction to
Linear and Nonlinear Scattering Theory,
by G. F. Roach . . . . . . . . . . . . . 336--337
Noel Cressie Book Review: \em Introduction to
Disjunctive Kriging and Non-Linear
Geostatistics, by J. Rivoirard . . . . . 337--340
Victor De Oliveira and
Benjamin Kedem Book Review: \em Multivariate
Geostatistics, by Hans Wackernagel . . . 340--341
Philippe Flajolet Book Review: \em Analysis of Algorithms
--- Computational Methods and
Mathematical Tools, by Micha Hofri . . . 341--345
Katherine Heinrich Book Review: \em The CRC Handbook of
Combinatorial Designs, by Charles J.
Colbourn and Jeffrey H. Dinitz . . . . . 345--346
Phillp Heywood Book Review: \em The Hilbert Transform
of Schwartz Distributions and
Applications, by J. N. Pandey . . . . . 346--347
Cornelius O. Horgan Book Review: \em Qualitative Estimates
for Partial Differential Equations: An
Introduction, by James N. Flavin and
Salvatore Rionero . . . . . . . . . . . 347--350
Ken Jackson Book Review: \em Parallel and Sequential
Methods for Ordinary Differential
Equations, by Kevin Burrage . . . . . . 349--350
Murray S. Klamkin Book Review: \em Handbook of Exact
Solutions for Ordinary Differential
Equations by A. D. Polyanin and V. F.
Zaitsev . . . . . . . . . . . . . . . . 350--350
John E. Lagnese Book Review: \em Exact Controllability
and Stabilization: The Multiplier
Method, by V. Komornik . . . . . . . . . 351--352
Ivailo M. Mladenov Book Review: \em Group Theory and
Physics, by S. Sternberg . . . . . . . . 352--354
Diego A. Murio Book Review: \em Elliptic Marching
Methods for Domain Decomposition, by
Patrick J. Roache . . . . . . . . . . . 354--355
Frank W. J. Olver Book Review: \em Special Functions: An
Introduction to the Classical Functions
of Mathematical Physics, by Nico M.
Temme . . . . . . . . . . . . . . . . . 355--356
Magda Peligrad Book Review: \em Stable Non-Gaussian
Random Processes, by Gennady
Samorodnitsky and Murad S. Taqqu . . . . 356--358
Michael Renardy Book Review: \em Nonlinear Waves in
Elastic Media, by A. Kulikovskii and E.
Sveshmikova . . . . . . . . . . . . . . 358--358
Lawrence F. Shampine Book Review: \em Numerical Methods for
Differential Equations: A Computational
Approach, by John R. Dormand . . . . . . 358--360
Ian H. Sloan Book Review: \em Integral Equations:
Theory and Numerical Treatment, by
Wolfgang Hackbusch . . . . . . . . . . . 360--360
Helmut Späth Book Review: \em Handbook on Splines for
the User, by Eugene V. Shikin and
Alexander I. Plis . . . . . . . . . . . 360--362
Endre Süli Book Review: \em Time Dependent Problems
and Difference Methods, by Bertil
Gustafsson and Heinz-Otto Kreiss and
Joseph Oliger . . . . . . . . . . . . . 362--366
Peter Wolfe Book Review: \em Applied Continuum
Mechanics, by T. J. Chung . . . . . . . 366--367
Zhimin Zhang Book Review: \em Conservative
Finite-Difference Methods on General
Grids, by Mikhail Shashkov . . . . . . . 367
Anonymous Selected Collections . . . . . . . . . . 369--373
Anonymous Later Editions . . . . . . . . . . . . . 373--374
Anonymous Chronicle . . . . . . . . . . . . . . . 375--381
Lloyd N. Trefethen Pseudospectra of Linear Operators . . . 383--406
Arnold Neumaier Molecular Modeling of Proteins and
Mathematical Prediction of Protein
Structure . . . . . . . . . . . . . . . 407--460
Dicky Yan Case Studies from Industry: Optimal and
Dominating Strategies for Determining
Continuous Caster Product Dimensions . . 461--471
D. Yan Optimal and dominating strategies for
determining continuous caster product
dimensions . . . . . . . . . . . . . . . 461--471
M. P. Johnson and
C. Rennick and
E. Zak Case Studies from Industry: Skiving
Addition to the Cutting Stock Problem in
the Paper Industry . . . . . . . . . . . 472--483
Kevin G. TeBeest Classroom Note: Numerical and Analytical
Solutions of Volterra's Population Model 484--493
K. G. TeBeest Numerical and analytical solutions of
Volterra's population model . . . . . . 484--493
Y. Villacampa and
A. Balaguer and
J. L. Usó Classroom Note: a Study of a
Semi-Infinite Integral . . . . . . . . . 494--495
Y. Villacampa and
A. Balaguer and
J. L. Uso A study of a semi-infinite integral . . 494--495
Helmar Nunes Moreira and
Wang Yuquan Classroom Note: Global Stability in an $
{S} \to {I} \to {R} \to {I} $ Model . . 496--502
H. N. Moreira and
Y. Q. Wang Global stability in an S->I->R->I model . . 496--502
Helmar Nunes Moreira and
Yuquan Wang Classroom Note: Global Stability in an $
{S} \longrightarrow {I} \longrightarrow
{R} \longrightarrow {I} $ Model . . . . 496--502
Achiya Dax Classroom Note: An Elementary Proof of
Farkas' Lemma . . . . . . . . . . . . . 503--507
A. Dax An elementary proof of Farkas' lemma . . 503--507
R. W. R. Darling Classroom Note: Converting Matrix
Riccati Equations to Second-Order Linear
ODE . . . . . . . . . . . . . . . . . . 508--510
S. H. Smith Classroom Note: Time-Dependent
Poiseuille Flow . . . . . . . . . . . . 511--513
Cecil C. Rousseau and
Otto G. Ruehr and
Editors Problems and Solutions . . . . . . . . . 514--527
A. Ramer A projection inequality . . . . . . . . 516--517
R. A. Horn The determinant of a triangular-block
matrix . . . . . . . . . . . . . . . . . 517--520
C. E. M. Pearce The determinant of a triangular-block
matrix . . . . . . . . . . . . . . . . . 517--520
R. Chapman A Hermite polynomial identity . . . . . 521--522
M. L. Glasser A definite integral in probability
theory . . . . . . . . . . . . . . . . . 522--523
W. F. Ford and
J. A. Pennline An integral . . . . . . . . . . . . . . 524--527
A. J. Roberts An integral . . . . . . . . . . . . . . 524--527
Irene Fonseca and
Wilfrid Gangbo and
Antonio Ambrosetti Degree Theory in Analysis and
Applications . . . . . . . . . . . . . . 528--529
R. B. Kellogg Book Reviews . . . . . . . . . . . . . . 528--569
Gabriel N. Gatica and
George C. Hsiao and
Carsten Carstensen Boundary-Field Equation Methods for a
Class on Nonlinear Problems . . . . . . 529
Steven Leon and
Eugene Herman and
Richard Faulkenberry and
Richard Elderkin ATLAST: Computer Exercises for Linear
Algebra . . . . . . . . . . . . . . . . 530
Robert T. Glassey and
Reinhard Illner The Cauchy Problem in Kinetic Theory . . 532
J. R. Mika and
J. Banasiak and
Hans G. Kaper Singularly Perturbed Evolution Equations
with Applications to Kinetic Theory . . 533
J. J. H. Miller and
E. O'Riordan and
G. I. Shishkin and
R. Bruce Kellogg Fitted Numerical Methods for Singular
Perturbation Problems . . . . . . . . . 535
K. W. Morton and
R. Bruce Kellogg Numerical Solution of
Convection-Diffusion Problems . . . . . 535
H-G Roos and
M. Stynes and
L. Tobiska and
R. Bruce Kellogg Numerical Methods for Singularly
Perturbed Differential Equations . . . . 535
Marko Petkovsek and
Herbert S. Wilf and
Doron Zeilberger and
Wolfram Koepf $ A = B $ . . . . . . . . . . . . . . . 538
Anthony N. Michel and
Kaining Wang and
V. Lakshmikantham Qualitative Theory of Dynamical Systems:
The Role of Stability Preserving
Mappings . . . . . . . . . . . . . . . . 540
Arish Iserlas and
Raytcho Lazarov A First Course in the Numerical Analysis
of Differential Equations . . . . . . . 541
Michel Balinski and
Guillaume Ratier Of Stable Marriages and Graphs, and
Strategy and Polytopes . . . . . . . . . 575--604
Carla Savage A Survey of Combinatorial Gray Codes . . 605--629
Willard L. Miranker Interference Effects in Computation . . 630--643
David Gottlieb and
Chi-Wang W. Shu On the Gibbs Phenomenon and Its
Resolution . . . . . . . . . . . . . . . 644--668
David Corrlieb and
Ch Wang Shu On the Gibbs Phenomenon and Its
Resolution . . . . . . . . . . . . . . . 644
M. C. Ferris and
J. S. Pang Engineering and Economic Applications of
Complementarity Problems . . . . . . . . 669--713
W. K. Chui and
J. Glimm and
F. M. Tangerman and
A. P. Jardine and
J. S. Madsen and
T. M. Donnellan and
R. Leek Case Study from Industry: Process
Modeling in Resin Transfer Molding as a
Method to Enhance Product Quality . . . 714--727
W. K. Chui and
J. Glimm and
F. M. Tangerman and
J. S. Jardine and
J. S. Madsen and
T. M. Donnellan and
R. Leek Processing modeling in resin transfer
molding as a method to enhance product
quality . . . . . . . . . . . . . . . . 714--727
A. Melman Classroom Note: Geometry and Convergence
of Euler's and Halley's Methods . . . . 728--735
H. Arsham Classroom Note: Initialization of the
Simplex Algorithm: an Artificial-Free
Approach . . . . . . . . . . . . . . . . 736--744
Chris Rorres and
David Gilman Romano Classroom Note: Finding the Center of a
Circular Starting Line in an Ancient
Greek Stadium . . . . . . . . . . . . . 745--754
C. Rorres and
D. G. Romano Finding the center of a circular
starting line in an ancient Greek
stadium . . . . . . . . . . . . . . . . 745--754
Johnny Snyder Classroom Note: Stability Considerations
for Numerical Methods . . . . . . . . . 755--760
J. Snyder Stability considerations for numerical
methods . . . . . . . . . . . . . . . . 755--760
Cecil C. Rousseau and
Otto G. Ruehr and
Editors Problems and Solutions . . . . . . . . . 761--789
Anonymous Problems and Solutions . . . . . . . . . 761
D. S. Bernstein Some matrix integral identities . . . . 763--765
A. Sofo Real roots of polynomials . . . . . . . 765--772
G. R. Ierley and
O. G. Ruehr A combinatorial expression from
oceanography . . . . . . . . . . . . . . 772--774
P. Hui Integrals from heat conduction . . . . . 775--779
L. Q. Xu The volume of the intersection of a cube
and a ball in $N$-space . . . . . . . . 779--786
M. A. Chaudhry and
S. M. Zubair A semi-infinite integral involving the
Macdonald function . . . . . . . . . . . 786--789
R. B. Kellogg Book Reviews . . . . . . . . . . . . . . 790--809
R. B. Kellogg Book Reviews . . . . . . . . . . . . . . 790--809
G. J. Komen and
L. Cavaleri and
M. Donelan and
K. Hasselmann and
S. Hasselmann and
P. E. A. M. Janssen and
Sen-Huei Chen Dynamics and Modelling of Ocean Waves 790
Alexander D. Poularikas and
Lokenath Debnath The Transforms and Applications Handbook 791
Roy Nicolaides and
Noel Walkington and
Patrick Fitzpatrick Maple: a Comprehensive Introduction . . 792
J. Michael Steele and
Alan Frieze Probability Theory and Combinatorial
Optimization . . . . . . . . . . . . . . 793
Andreas Kirsch and
Charles Groetsch An Introduction to the Mathematical
Theory of Inverse Problems . . . . . . . 794
P. G. Ciarlet and
J. L. Lions and
Weimin Han Handbook of Numerical Analysis. Vol. IV.
Finite Element Methods (Part 2) and
Numerical Methods for Solids (Part 2) 796
Hiroki Tanabe and
R. Bruce Kellogg Functional Analytic Methods for Partial
Differential Equations . . . . . . . . . 798
Evgenij S. Levitin Perturbation Theory in Mathematical
Programming and Its Applications . . . . 799
Victor G. Ganzha and
Evgenii V. Vorozhtsov and
Biyue Liu Numerical Solutions for Partial
Differential Equations: Problem Solving
Using Mathematics . . . . . . . . . . . 800
Joel H. Ferziger and
Milovan Peric and
K. W. Morton Computational Methods for Fluid Dynamics 801
Yuri Egorov and
Vladimir Kondratiev and
Martin Schechter On Spectral Theory of Elliptic Operators 802
I. S. Gradshteyn and
I. M. Ryzik and
Joseph J. Shirron Table of Integrals, Series, and Products 803
Anonymous Selected Collections . . . . . . . . . . 805
Anonymous Later Editions . . . . . . . . . . . . . 808
Anonymous Chronicle . . . . . . . . . . . . . . . 810
Moody T. Chu Inverse Eigenvalue Problems . . . . . . 1--39
Doron Levy and
Eitan Tadmor From Semidiscrete to Fully Discrete:
Stability of Runge--Kutta Schemes by The
Energy Method . . . . . . . . . . . . . 40--73
Yves Nievergelt Solution to an Inverse Problem in
Diffusion . . . . . . . . . . . . . . . 74--80
D. E. Stevenson Introducing Computational Science
Methods Using Parallax . . . . . . . . . 81--86
James A. Powell and
James S. Cangelosi and
Ann Marie Harris Games to Teach Mathematical Modelling 87--95
Mehmet Pakdemirli and
Muhammet Yurusoy Similarity Transformations for Partial
Differential Equations . . . . . . . . . 96--101
Bogdan I. Epureanu and
Henry S. Greenside Fractal Basins of Attraction Associated
with a Damped Newton's Method . . . . . 102--109
William Squire and
George Trapp Using Complex Variables to Estimate
Derivatives of Real Functions . . . . . 110--112
James W. Weaver and
Freda Porter-Locklear Estimating the Rate of Natural
Bioattenuation of Ground Water
Contaminants by a Mass Conservation
Approach . . . . . . . . . . . . . . . . 113--117
C. C. Grosjean Polaron integrals . . . . . . . . . . . 118--126
Anonymous Problems and Solutions . . . . . . . . . 118--145
C. Rousseau and
O. Ruehr Problems and Solutions . . . . . . . . . 118--145
J. E. Wilkins An inequality . . . . . . . . . . . . . 126--128
C. Constanda Composition formulae for boundary
operators . . . . . . . . . . . . . . . 128--132
E. Verriest Existence and uniqueness for a
variational problem . . . . . . . . . . 132--143
J. A. Wilson A Laguerre polynomial identity . . . . . 143--145
Peter J. Brockwell and
Richard A. Davis and
Collin C. Carbno Introduction to Time Series and
Forecasting . . . . . . . . . . . . . . 146--147
R. B. Kellogg Book Reviews . . . . . . . . . . . . . . 146--181
A. Di Bucchianico and
Philip Feinsilver Probabilistic and Analytical Aspects of
the Umbral Calculus . . . . . . . . . . 147
George B. Dantzig and
Mukund N. Thapa and
Saul I. Gass Linear Programming 1: Introduction . . . 149
Vadim F. Krotov and
Mostafa Ghandehari Global Methods in Optimal Control Theory 152
R. Baker Kearfott and
Eldon Hansen Rigorous Global Search: Continuous
Problems . . . . . . . . . . . . . . . . 153
Velimir Jurdevic and
Robert Hermann Geometric Control Theory . . . . . . . . 154
U. Grenander and
Daniel Keenan Elements of Pattern Theory . . . . . . . 155
Gregory F. Lawler and
Eric S. Key Introduction to Stochastic Processes . . 159
Edwige Godlewski and
Pierre-Arnaud Raviart and
Randall J. LeVeque Numerical Approximation of Hyperbolic
Systems of Conservation Laws . . . . . . 160
Ronald E. Mickens and
Mark Levi Oscillations in Planar Dynamic Systems 162
Robert E. O'Malley, Jr. and
J. David Logan Thinking About Ordinary Differential
Equations . . . . . . . . . . . . . . . 163
Richard H. Cushman and
Larry M. Bates and
Richard Montgomery Global Aspects of Classical Integrable
Systems . . . . . . . . . . . . . . . . 164
N. Balakrishnan and
A. P. Basu and
H. N. Nagaraja The Exponential Distribution: Theory,
Methods and Applications . . . . . . . . 167
E. M. de Jager and
Jiang Furu and
Robert E. O'Malley, Jr. The Theory of Singular Perturbations . . 168
Barry F. Smith and
Petter E. Bjorstad and
William D. Gropp and
Joseph E. Pasciak Domain Decomposition: Parallel
Multilevel Methods for Elliptic Partial
Differential Equations . . . . . . . . . 169
Gisela Engeln-Mullges and
Frank Uhlig and
John D. Pryce Book Reviews: \booktitleNumerical
Algorithms with C and
\booktitleNumerical Algorithms with
Fortran . . . . . . . . . . . . . . . . 171
Jacov A. Kamenjarzh and
B. Daya Reddy Limit Analysis of Solids and Structures 173
R. M. M. Mattheij and
J. Molenaar and
Lawrence F. Shampine Ordinary Differential Equations in
Theory and Practice . . . . . . . . . . 175
Alexander Ya Shklyar and
Michael Renardy Complete Second Order Linear
Differential Equations in Hilbert Spaces 175
Eugene G. D'yakonov and
Jinchao Xu Optimization in Solving Elliptic
Problems . . . . . . . . . . . . . . . . 177
Anonymous Selected Collections . . . . . . . . . . 178
Anonymous Later Editions . . . . . . . . . . . . . 181
Anonymous Chronicle . . . . . . . . . . . . . . . 182
Soren Asmussen A Probabilistic Look at the Wiener--Hopf
Equation . . . . . . . . . . . . . . . . 189--201
Nicholas Lynn and
Nozer Singpurwalla and
Adrian Smith Bayesian Assessment of Network
Reliability . . . . . . . . . . . . . . 202--227
J. Frédéric Bonnans and
Alexander Shapiro Optimization Problems with
Perturbations: a Guided Tour . . . . . . 228--264
G. I. Barenblatt and
A. J. Chorin New Perspectives in Turbulence: Scaling
Laws, Asymptotics, and Intermittency . . 265--291
L. Kohaupt Calculation of Cam-Form Errors . . . . . 292--299
Stephen P. Keeler and
Yves Nievergelt Computing Geodetic Coordinates . . . . . 300--309
Terrence K. Kelly and
Michael Kupferschmid Numerical Verification of Second-Order
Sufficiency Conditions for Nonlinear
Programming . . . . . . . . . . . . . . 310--314
Michael Drexler and
Martin J. Gander Circular Billiard . . . . . . . . . . . 315--323
T. E. Peterson Eliminating Gibb's Effect from
Separation of Variables Solutions . . . 324--326
Douglas B. Meade ODE Models for the Parachute Problem . . 327--332
Maurice H. P. M. Van Putten A Riemann Sum Upper Bound in the
Riemann--Lebesgue Theorem . . . . . . . 333--334
Amit Bhaya Real Matrices with Positive Determinant
are Homotopic to the Identity . . . . . 335--340
Takeshi Sugimoto How to Ride a Wave: Mechanics of Surfing 341--343
Mazi Shirvani and
Joseph W.-H. H. So Solutions of Linear Differential
Algebraic Equations . . . . . . . . . . 344--346
Pedro L. D. Peres and
Ivanil S. Bonatti and
Amauri Lopes Transmission Line Modeling: a Circuit
Theory Approach . . . . . . . . . . . . 347--352
Hongwei W. Chen The Poisson Formula Revisited . . . . . 353--355
Laurens Howle and
David G. Schaeffer and
Michael Shearer and
Pei Zhong Lithotripsy: The Treatment of Kidney
Stones with Shock Waves . . . . . . . . 356--371
J. Boersma A sum over binary sequences . . . . . . 372--374
Cecil C. Rousseau and
Otto G. Ruehr Problems and Solutions . . . . . . . . . 372--390
C. C. Grosjean A family of integrals occurring in
quantum mechanics . . . . . . . . . . . 374--381
J. Rulla Average temperature in a
reaction-diffusion process . . . . . . . 382--385
R. N. Hill Is there a simple proof? . . . . . . . . 385--388
R. Richberg A partition function difference related
to chiral discrimination . . . . . . . . 389--389
C. C. Grosjean A partition function difference related
to chiral discrimination . . . . . . . . 390--390
R. B. Kellogg Book Reviews . . . . . . . . . . . . . . 391--431
T. G. Myers Thin Films with High Surface Tension . . 441--462
A. B. Olde Daalhuis and
F. W. J. Olver On the Asymptotic and Numerical Solution
of Linear Ordinary Differential
Equations . . . . . . . . . . . . . . . 463--495
Rainer E. Burkard and
Vladimir G. Deineko and
René van Dal and
Jack A. A. van der Veen and
Gerhard J. Woeginger Well-Solvable Special Cases of the
Traveling Salesman Problem: a Survey . . 496--546
Tobin A. Driscoll and
Kim-Chuan C. Toh and
Lloyd N. Trefethen From Potential Theory to Matrix
Iterations in Six Steps . . . . . . . . 547--578
Angel Sánchez and
A. R. Bishop Collective Coordinates and Length-Scale
Competition in Spatially Inhomogeneous
Soliton-Bearing Equations . . . . . . . 579--615
Riccardo Fazio A Similarity Approach to the Numerical
Solution of Free Boundary Problems . . . 616--635
Arnold Neumaier Solving Ill-Conditioned and Singular
Linear Systems: a Tutorial on
Regularization . . . . . . . . . . . . . 636--666
Ronald E. Mickens and
Denise N. Brewley and
Matasha L. Russell Classroom Note: a Model of Dieting . . . 667--672
R. E. Mickens and
D. N. Brewley and
M. L. Russell A model of dieting . . . . . . . . . . . 667--672
Martin J. Gander Classroom Note: Note on the Optimal
Intercept Time of Vessels to a Nonzero
Range . . . . . . . . . . . . . . . . . 673--673
M. J. Gander Note on the optimal intercept time of
vessels to a nonzero range . . . . . . . 673--673
Matthew Bonney and
Joshua Coaplen and
Erik Doeff Classroom Note: What Makes a Good
Friend? The Mathematics of Rock Climbing 674--679
M. Bonney and
J. Coaplen and
E. Doeff What makes a good friend? The
mathematics of rock climbing . . . . . . 674--679
Ramesh C. Gupta Classroom Note: On Particular Solutions
of Linear Difference Equations with
Constant Coefficients . . . . . . . . . 680--684
R. C. Gupta On particular solutions of linear
difference equations with constant
coefficients . . . . . . . . . . . . . . 680--684
Bengt Fornberg Classroom Note: Calculation of Weights
in Finite Difference Formulas . . . . . 685--691
B. Fornberg Calculation of weights in finite
difference formulas . . . . . . . . . . 685--691
G. Nord and
D. Jabon and
J. Nord The global positioning system and the
implicit function theorem . . . . . . . 692--696
Gail Nord and
David Jabon and
John Nord Classroom Note: The Global Positioning
System and the Implicit Function Theorem 693--697
A. L. Andrew Centrosymmetric matrices . . . . . . . . 697--698
Alan L. Andrew Classroom Note: Centrosymmetric Matrices 697--698
Jack Macki Three Notes on the Exponential of a
Matrix and Applications . . . . . . . . 699--699
Eduardo Liz Classroom Note: a Note on the Matrix
Exponential . . . . . . . . . . . . . . 700--702
E. Liz A note on the matrix exponential . . . . 700--702
M. Kwapisz Classroom Note: The Power of a Matrix 703--705
Shui-Hung Hou Classroom Note: a Simple Proof of the
Leverrier--Faddeev Characteristic
Polynomial Algorithm . . . . . . . . . . 706--709
S. H. Hou A simple proof of the Leverrier--Faddeev
characteristic polynomial algorithm . . 706--709
I. F. Sharygin A maximum, minimum problem . . . . . . . 710--710
G. Auchmuty and
J. W. He A conjecture concerning an integral
arising in population modelling . . . . 710--714
Cecil C. Rousseau and
Otto G. Ruehr and
editors Problems and Solutions . . . . . . . . . 710--731
R. L. Curry and
B. Bertram and
J. E. Wilkins An inequality . . . . . . . . . . . . . 714--718
A. Sidi and
C. C. Grosjean and
E. De Meyer A family of matrix problems . . . . . . 718--723
C. C. Grosjean A Laplace transform from a diffusion
problem . . . . . . . . . . . . . . . . 723--726
C. C. Grosjean A Mellin transform . . . . . . . . . . . 726--729
M. Renardy An inequality . . . . . . . . . . . . . 729--730
K. W. Lau Connection of oscillation and growth
rates of entire functions . . . . . . . 730--731
R. B. Kellogg and
editor Book Reviews . . . . . . . . . . . . . . 732--760
William J. Morokoff Generating Quasi-Random Paths for
Stochastic Processes . . . . . . . . . . 765--788
Pavel B. Bochev and
Max D. Gunzburger Finite Element Methods of Least-Squares
Type . . . . . . . . . . . . . . . . . . 789--837
Antony F. Ware Fast Approximate Fourier Transforms for
Irregularly Spaced Data . . . . . . . . 838--856
Jinchao C. Xu and
Jun Zou Some Nonoverlapping Domain Decomposition
Methods . . . . . . . . . . . . . . . . 857--914
Eduardo Sánchez-Velasco A Simple Derivation of a Result in
Electrostatics . . . . . . . . . . . . . 915--917
J. David Logan Similarity Solution to a Heat Exchange
Problem . . . . . . . . . . . . . . . . 918--921
M. Sauren and
H. M. Bücker On Deriving the Quasi-Minimal Residual
Method . . . . . . . . . . . . . . . . . 922--926
Stuart S. Antman The Simple Pendulum is not so Simple . . 927--930
C. Connell McCluskey and
James S. Muldowney Stability Implications of Bendixson's
Criterion . . . . . . . . . . . . . . . 931--934
Stephen M. Alessandrini A Motivational Example for the Numerical
Solution of the Algebraic Eigenvalue
Problem . . . . . . . . . . . . . . . . 935--940
Alan P. Knoerr A Dynamical Proof of the Method of
Lagrange . . . . . . . . . . . . . . . . 941--944
K. S. Govinder and
P. G. L. Leach An Elementary Demonstration of the
Existence of $ s \ell (3, {R}) $
Symmetry for all Second-Order Linear
Ordinary Differential Equations . . . . 945--946
A. Bujosa and
R. Criado and
C. Vega Jordan Normal Form via Elementary
Transformations . . . . . . . . . . . . 947--956
Judah Milgram Turn Performance of Aircraft, Revisited 957--958
L. Kohaupt Basis of eigenvectors and principal
vectors associated with Gauss--Seidel
matrix of $ A = {\rm tridiag} [ - 1 2 -
1] $ . . . . . . . . . . . . . . . . . . 959--964
Saber N. Elaydi and
William A. Harris, Jr. On the Computation of $ A_n $ . . . . . 965--971
George Boros and
Victor H. Moll An Integral with Three Parameters . . . 972--980
O. G. Ruehr A property of harmonic functions . . . . 981--983
Anonymous Solutions . . . . . . . . . . . . . . . 981--997
M. L. Glasser A definite integral in probability
theory . . . . . . . . . . . . . . . . . 983--984
J. Boersma A parametric integral arising from a
mixed boundary value problem for the
Laplacian . . . . . . . . . . . . . . . 984--986
J. Boersma and
S. B. Yakubovich The asymptotic sum of a Kapteyn series 986--990
D. E. Knuth Three binomial convolutions . . . . . . 990--991
E. R. Hansen Three binomial convolutions . . . . . . 991--993
E. S. Andersen and
M. E. Larsen Three binomial convolutions . . . . . . 993--997
Anonymous Book Reviews . . . . . . . . . . . . . . 998--1023
Jack Macki Notice: Erratum and Comments on
``Initialization of the Simplex
Algorithm: An Artificial-Free Approach''
[SIAM Review, \bf 39, (1997), no. 4,
736--744] . . . . . . . . . . . . . . . 1024--1024
Margaret H. Wright Preface . . . . . . . . . . . . . . . . ix--x
Nick Trefethen Survey and Review . . . . . . . . . . . 1--2
Alan S. Perelson and
Patrick W. Nelson Mathematical Analysis of HIV-1 Dynamics
in Vivo . . . . . . . . . . . . . . . . 3--44
Persi Diaconis and
David Freedman Iterated Random Functions . . . . . . . 45--76
Anonymous Graphical Illustration of Some Examples
Related to the Article ``Iterated Random
Functions'' by Diaconis and Freedman . . 77--82
The Editors Graphical Illustration of Some Examples
Related to the Article ``Iterated Random
Functions'' by Diaconis and Freedman . . 77--82
Joe Flaherty Problems and Techniques . . . . . . . . 83--84
Margaret Cheney and
David Isaacson and
Jonathan C. Newell Electrical Impedance Tomography . . . . 85--101
Siegfried M. Rump Ill-Conditioned Matrices Are
Componentwise Near to Singularity . . . 102--112
Anonymous SIGEST . . . . . . . . . . . . . . . . . 113--113
L. Mahadevan and
Joseph B. Keller Periodic Folding of Thin Sheets . . . . 115--131
Bobby Schnabel Education . . . . . . . . . . . . . . . 133--134
Gilbert Strang The Discrete Cosine Transform . . . . . 135--147
Joseph Czyzyk and
Timothy Wisniewski and
Stephen J. Wright Optimization Case Studies in the NEOS
Guide . . . . . . . . . . . . . . . . . 148--163
R. Bruce Kellogg Book Reviews . . . . . . . . . . . . . . 165--195
Nick Trefethen Survey and Review . . . . . . . . . . . 197--197
N. Trefethen Survey and review --- Introduction . . . 197--197
J. A. Sethian Fast Marching Methods . . . . . . . . . 199--235
M. V. Berry and
J. P. Keating The Riemann Zeros and Eigenvalue
Asymptotics . . . . . . . . . . . . . . 236--266
Joe Flaherty Problems and Techniques . . . . . . . . 267--268
J. Flaherty Problems and techniques --- Introduction 267--268
Enrique Fernández-Cara On the Approximate and Null
Controllability of the Navier--Stokes
Equations . . . . . . . . . . . . . . . 269--277
George Karypis and
Vipin Kumar Parallel Multilevel series k-Way
Partitioning Scheme for Irregular Graphs 278--300
Anonymous SIGEST --- Introduction . . . . . . . . 301--301
Peter W. Shor Polynomial-Time Algorithms for Prime
Factorization and Discrete Logarithms on
a Quantum Computer . . . . . . . . . . . 303--332
Bobby Schnabel Education --- Introduction . . . . . . . 333--333
Michael W. Berry and
Zlatko Drmac and
Elizabeth R. Jessup Matrices, Vector Spaces, and Information
Retrieval . . . . . . . . . . . . . . . 335--362
P. Broadbridge and
G. R. Fulford and
N. D. Fowkes and
D. Y. C. Chan and
C. Lassig Bubbles in Wet, Gummed Wine Labels . . . 363--372
R. Bruce Kellogg Book Reviews . . . . . . . . . . . . . . 373--373
Nick Trefethen Survey and Review . . . . . . . . . . . 415--415
S. J. Chapman and
J. M. H. Lawry and
J. R. Ockendon and
R. H. Tew On the Theory of Complex Rays . . . . . 417--509
Joe Flaherty Problems and Techniques . . . . . . . . 511--511
Charles V. Stewart Robust Parameter Estimation in Computer
Vision . . . . . . . . . . . . . . . . . 513--537
Lawrence F. Shampine and
Mark W. Reichelt and
Jacek A. Kierzenka Solving Index-$1$ DAEs in MATLAB and
Simulink . . . . . . . . . . . . . . . . 538--552
Anonymous SIGEST . . . . . . . . . . . . . . . . . 553--553
The Editors SIGEST . . . . . . . . . . . . . . . . . 553--553
Andrew D. Lewis and
Richard M. Murray Configuration Controllability of Simple
Mechanical Control Systems . . . . . . . 555--574
Bobby Schnabel Education . . . . . . . . . . . . . . . 575--575
Walter Gander and
Dominik Gruntz Derivation of Numerical Methods Using
Computer Algebra . . . . . . . . . . . . 577--593
Robert A. Bosch Integer Programming and Conway's Game of
Life . . . . . . . . . . . . . . . . . . 594--604
R. Bruce Kellogg Book Reviews . . . . . . . . . . . . . . 605--633
Nicholas J. Higham Featured Book Review: Selected Books on
Numerical Linear Algebra . . . . . . . . 607--610
J. J. Shirron and
D. Zwillinger Standard math interactive . . . . . . . 628--630
Nick Trefethen Survey and Review . . . . . . . . . . . 635--635
N. Trefethen Survey and review --- Introduction . . . 635--635
Qiang Du and
Vance Faber and
Max Gunzburger Centroidal Voronoi Tessellations:
Applications and Algorithms . . . . . . 637--676
Rick Durrett Stochastic Spatial Models . . . . . . . 677--718
Joe Flaherty Problems and techniques --- Introduction 719--719
David M. Shepard and
Michael C. Ferris and
Gustavo H. Olivera and
T. Rockwell Mackie Optimizing the Delivery of Radiation
Therapy to Cancer Patients . . . . . . . 721--744
Mark Embree and
Lloyd N. Trefethen Green's Functions for Multiply Connected
Domains via Conformal Mapping . . . . . 745--761
Bruce R. Fabijonas and
F. W. J. Olver On the Reversion of an Asymptotic
Expansion and the Zeros of the Airy
Functions . . . . . . . . . . . . . . . 762--773
Anonymous SIGEST --- Introduction . . . . . . . . 775--775
The Editors SIGEST . . . . . . . . . . . . . . . . . 775--775
Alexander Schrijver and
Paul Seymour and
Peter Winkler The Ring Loading Problem . . . . . . . . 777--791
Bobby Schnabel Education . . . . . . . . . . . . . . . 793--793
B. Schnabel Education --- Introduction . . . . . . . 793--793
Serge Kruk and
Henry Wolkowicz Pseudolinear Programming . . . . . . . . 795--805
R. Bruce Kellogg Book Reviews Introduction . . . . . . . 807--807
Anonymous Book Reviews . . . . . . . . . . . . . . 809--851
Nick Trefethen Survey and Review . . . . . . . . . . . 1--1
David E. Stewart Rigid-Body Dynamics with Friction and
Impact . . . . . . . . . . . . . . . . . 3--39
Joe Flaherty Problems and Techniques . . . . . . . . 41--41
Michael Unser and
Thierry Blu Fractional Splines and Wavelets . . . . 43--67
Lawrence Hubert and
Jacqueline Meulman and
Willem Heiser Two Purposes for Matrix Factorization: a
Historical Appraisal . . . . . . . . . . 68--82
J. C. Orum and
R. T. Hudspeth and
W. Black and
R. B. Guenther Extension of the Herglotz Algorithm to
Nonautonomous Canonical Transformations 83--90
Anonymous SIGEST . . . . . . . . . . . . . . . . . 91--91
The Editors SIGEST . . . . . . . . . . . . . . . . . 91--91
Michel Pierre and
Didier Schmitt Blowup in Reaction-Diffusion Systems
with Dissipation of Mass . . . . . . . . 93--106
Bobby Schnabel Education . . . . . . . . . . . . . . . 107--107
Timothy G. Feeman Equal Area World Maps: a Case Study . . 109--114
Rachel W. Hall and
Kresimir Josic Planetary Motion and the Duality of
Force Laws . . . . . . . . . . . . . . . 115--124
R. Bruce Kellogg Book Reviews . . . . . . . . . . . . . . 125--157
Nick Trefethen Survey and Review . . . . . . . . . . . 159--159
Jack Xin Front Propagation in Heterogeneous Media 161--230
Joe Flaherty Problems and Techniques . . . . . . . . 231--231
Chi-Kwong K. Li and
Roy Mathias Extremal Characterizations of the Schur
Complement and Resulting Inequalities 233--246
Niles A. Pierce and
Michael B. Giles Adjoint Recovery of Superconvergent
Functionals from PDE Approximations . . 247--264
Anonymous SIGEST . . . . . . . . . . . . . . . . . 265--265
The Editors SIGEST . . . . . . . . . . . . . . . . . 265--265
Gerard L. G. Sleijpen and
Henk A. Van der Vorst A Jacobi--Davidson Iteration Method for
Linear Eigenvalue Problems . . . . . . . 267--293
Bobby Schnabel Education . . . . . . . . . . . . . . . 295--295
Thomas A. Grandine Applications of Contouring . . . . . . . 297--316
D. A. Edwards An Alternative Example of the Method of
Multiple Scales . . . . . . . . . . . . 317--332
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 333--365
Nick Trefethen Survey and review --- Introduction . . . 367--367
David Colton and
Joe Coyle and
Peter Monk Recent Developments in Inverse Acoustic
Scattering Theory . . . . . . . . . . . 369--414
Joe Flaherty Problems and Techniques . . . . . . . . 415--415
Jie Li and
Yuriko Renardy Numerical Study of Flows of Two
Immiscible Liquids at Low Reynolds
Number . . . . . . . . . . . . . . . . . 417--439
A. Melman and
G. Rabinowitz An Efficient Method for a Class of
Continuous Nonlinear Knapsack Problems 440--448
Anonymous SIGEST . . . . . . . . . . . . . . . . . 449--449
The Editors SIGEST . . . . . . . . . . . . . . . . . 449--449
Ivo M. Babu\vska and
Stefan A. Sauter Is the Pollution Effect of the FEM
Avoidable for the Helmholtz Equation
Considering High Wave Numbers? . . . . . 451--484
Bobby Schnabel Education . . . . . . . . . . . . . . . 485--485
B. Schnabel Education --- Introduction . . . . . . . 485--485
C. R. MacCluer The Many Proofs and Applications of
Perron's Theorem . . . . . . . . . . . . 487--498
Antonio G. Garcia Orthogonal Sampling Formulas: a Unified
Approach . . . . . . . . . . . . . . . . 499--512
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 513--552
Nicholas J. Higham Review of ``Jack J. Dongarra, Iain S.
Duff, Danny C. Sorensen, and Henk A. van
der Vorst, \booktitleNumerical Linear
Algebra for High-Performance Computers,
Society for Industrial and Applied
Mathematics, Philadelphia, PA, USA,
1998'' . . . . . . . . . . . . . . . . . 529
Nick Trefethen Survey and review --- Introduction . . . 553--553
S. J. Chapman A Hierarchy of Models for Type-II
Superconductors . . . . . . . . . . . . 555--598
Herbert W. Hethcote The Mathematics of Infectious Diseases 599--653
Joe Flaherty Problems and techniques --- Introduction 655--655
Lorenz Halbeisen and
Norbert Hungerbühler On Periodic Billiard Trajectories in
Obtuse Triangles . . . . . . . . . . . . 657--670
Jesús Palacián and
Patricia Yanguas Reduction of Polynomial Planar
Hamiltonians with Quadratic Unperturbed
Part . . . . . . . . . . . . . . . . . . 671--691
Anonymous SIGEST --- Introduction . . . . . . . . 693--693
The Editors SIGEST . . . . . . . . . . . . . . . . . 693--693
A. Ben-Tal and
M. Kovara and
A. Nemirovski and
J. Zowe Free Material Design via Semidefinite
Programming: The Multiload Case with
Contact Conditions . . . . . . . . . . . 695--715
Bobby Schnabel Education . . . . . . . . . . . . . . . 717--717
B. Schnabel Education --- Introduction . . . . . . . 717--717
Joseph M. Prusa Hydrodynamics of a Water Rocket . . . . 719--726
Gary W. De Young Exploring Reflection: Designing Light
Reflectors for Uniform Illumination . . 727--735
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 737--768
David Colton and
Joe Coyle and
Peter Monk Recent Developments in Inverse Acoustic
Scattering Theory . . . . . . . . . . . 369--414
Nick Trefethen Survey and Review . . . . . . . . . . . 1--1
Hans Thunberg Periodicity versus Chaos in
One-Dimensional Dynamics . . . . . . . . 3--30
Marc C. Steinbach Markowitz Revisited: Mean-Variance
Models in Financial Portfolio Analysis 31--85
Joe Flaherty Problems and Techniques . . . . . . . . 87--87
Sigal Gottlieb and
Chi-Wang W. Shu and
Eitan Tadmor Strong Stability-Preserving High-Order
Time Discretization Methods . . . . . . 89--112
Jens Gravesen and
Christian Henriksen The Geometry of the Scroll Compressor 113--126
Anonymous SIGEST . . . . . . . . . . . . . . . . . 127--127
Scott Shaobing B. Chen and
David L. Donoho and
Michael A. Saunders Atomic Decomposition by Basis Pursuit 129--159
Bobby Schnabel Education . . . . . . . . . . . . . . . 161--161
SIAM Working Group on CSE Education Graduate Education in Computational
Science and Engineering . . . . . . . . 163--177
L. R. Petzold and
U. Ascher and
H. T. Banks and
J. Crowley and
W. Gander and
L. Greengard and
M. Heath and
A. Lumsdaine and
C. Moler and
T. Oden and
R. Schnabel and
K. Stewart and
A. Trefethen Graduate education in computational
science and engineering . . . . . . . . 163--177
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 179--232
Nicholas J. Higham Review of ``Michael Alley, \booktitleThe
Craft of Editing: A Guide for Managers,
Scientists and Engineers.
Springer-Verlag, 2000'' . . . . . . . . 202
Nick Trefethen Survey and Review . . . . . . . . . . . 233--233
Françoise Tisseur and
Karl Meerbergen The Quadratic Eigenvalue Problem . . . . 235--286
Joe Flaherty Problems and Techniques . . . . . . . . 287--287
Xiaobai B. Sun and
Nikos P. Pitsianis A Matrix Version of the Fast Multipole
Method . . . . . . . . . . . . . . . . . 289--300
Margaret Cheney A Mathematical Tutorial on Synthetic
Aperture Radar . . . . . . . . . . . . . 301--312
Anonymous SIGEST . . . . . . . . . . . . . . . . . 313--313
The Editors SIGEST . . . . . . . . . . . . . . . . . 313--313
Eugene M. Izhikevich Synchronization of Elliptic Bursters . . 315--344
Bobby Schabel Education . . . . . . . . . . . . . . . 345--345
B. Schnabel Education . . . . . . . . . . . . . . . 345--345
Luis Tenorio Statistical Regularization of Inverse
Problems . . . . . . . . . . . . . . . . 347--366
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 369--409
Nick Trefethen Survey and Review . . . . . . . . . . . 411--411
J. M. McNamara and
A. I. Houston and
E. J. Collins Optimality Models in Behavioral Biology 413--466
Joe Flaherty Problems and Techniques . . . . . . . . 467--467
T. K. DeLillo and
A. R. Elcrat and
J. A. Pfaltzgraff Schwarz--Christoffel Mapping of the
Annulus . . . . . . . . . . . . . . . . 469--477
Divakar Viswanath The Lindstedt--Poincaré Technique as an
Algorithm for Computing Periodic Orbits 478--495
Anonymous SIGEST . . . . . . . . . . . . . . . . . 497--497
David R. Karger A Randomized Fully Polynomial Time
Approximation Scheme for the
All-Terminal Network Reliability Problem 499--522
Bobby Schnabel Education . . . . . . . . . . . . . . . 523--523
Desmond J. Higham An Algorithmic Introduction to Numerical
Simulation of Stochastic Differential
Equations . . . . . . . . . . . . . . . 525--546
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 547--581
Nick Trefethen Survey and Review . . . . . . . . . . . 583--583
Akram Aldroubi and
Karlheinz Gröchenig Nonuniform Sampling and Reconstruction
in Shift-Invariant Spaces . . . . . . . 585--620
Joe Flaherty Problems and Techniques . . . . . . . . 621--621
Zhijun Wu and
George N. Phillips, Jr. and
Richard Tapia and
Yin Zhang A Fast Newton Algorithm for Entropy
Maximization in Phase Determination . . 623--642
Anonymous SIGEST . . . . . . . . . . . . . . . . . 643--643
The Editors SIGEST . . . . . . . . . . . . . . . . . 643--643
Christopher I. Byrnes and
Sergei V. Gusev and
Anders Lindquist From Finite Covariance Windows to
Modeling Filters: a Convex Optimization
Approach . . . . . . . . . . . . . . . . 645--675
Bobby Schnabel Education . . . . . . . . . . . . . . . 677--677
Jannett Highfill and
Michael McAsey An Application of Optimal Control to the
Economics of Recycling . . . . . . . . . 679--693
William A. Harris, Jr. and
Jay P. Fillmore and
Donald R. Smith Matrix Exponentials --- Another Approach 694--706
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 707--707
Nick Trefethen Survey and Review . . . . . . . . . . . 1--1
Christian M. Reidys and
Peter F. Stadler Combinatorial Landscapes . . . . . . . . 3--54
Joe Flaherty Problems and Techniques . . . . . . . . 55--55
P. A. Absil and
R. Mahony and
R. Sepulchre and
P. Van Dooren A Grassmann--Rayleigh Quotient Iteration
for Computing Invariant Subspaces . . . 57--73
Hassan Sedaghat Convergence, Oscillations, and Chaos in
a Discrete Model of Combat . . . . . . . 74--92
Anonymous SIGEST . . . . . . . . . . . . . . . . . 93--93
The Editors SIGEST . . . . . . . . . . . . . . . . . 93--93
E. G. Coffman, Jr. and
C. Courcoubetis and
M. R. Garey and
D. S. Johnson and
P. W. Shor and
R. R. Weber and
M. Yannakakis Perfect Packing Theorems and the
Average-Case Behavior of Optimal and
Online Bin Packing . . . . . . . . . . . 95--108
Bobby Schnabel Education . . . . . . . . . . . . . . . 109--109
Peter R. Newbury and
Raymond J. Spiteri Inverting Gravitational Lenses . . . . . 111--130
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 131--165
Nick Trefethen Survey and Review . . . . . . . . . . . 167--167
D. Russell Luke and
James V. Burke and
Richard G. Lyon Optical Wavefront Reconstruction: Theory
and Numerical Methods . . . . . . . . . 169--224
Joe Flaherty Problems and Techniques . . . . . . . . 225--225
Rogelio Luck and
James W. Stevens Explicit Solutions for Transcendental
Equations . . . . . . . . . . . . . . . 227--233
Anonymous SIGEST . . . . . . . . . . . . . . . . . 235--235
The Editors SIGEST . . . . . . . . . . . . . . . . . 235--235
T. Giorgi and
D. Phillips The Breakdown of Superconductivity Due
to Strong Fields for the
Ginzburg--Landau Model . . . . . . . . . 237--256
Bobby Schnabel Education . . . . . . . . . . . . . . . 257--257
John A. Rafter and
Martha L. Abell and
James P. Braselton Multiple Comparison Methods for Means 259--278
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 279--279
Nicholas J. Higham Review of ``Michael Overton,
\booktitleNumerical Computing with IEEE
Floating Point Arithmetic: Including One
Theorem, One Rule of Thumb, and One
Hundred and One Exercises. Society for
Industrial and Applied Mathematics,
Philadelphia, PA, USA, 2001'' . . . . . 287--288
Nick Trefethen Survey and Review . . . . . . . . . . . 309--309
Alexander B. Medvinsky and
Sergei V. Petrovskii and
Irene A. Tikhonova and
Horst Malchow and
Bai-Lian Li Spatiotemporal Complexity of Plankton
and Fish Dynamics . . . . . . . . . . . 311--370
Joe Flaherty Problems and Techniques . . . . . . . . 371--371
Leonid Oliker and
Xiaoye Li and
Parry Husbands and
Rupak Biswas Effects of Ordering Strategies and
Programming Paradigms on Sparse Matrix
Computations . . . . . . . . . . . . . . 373--393
Immanuel M. Bomze Regularity versus Degeneracy in
Dynamics, Games, and Optimization: a
Unified Approach to Different Aspects 394--414
Anonymous SIGEST . . . . . . . . . . . . . . . . . 415--415
Bart De Schutter and
Bart De Moor The $ Q R $ Decomposition and the
Singular Value Decomposition in the
Symmetrized Max-Plus Algebra Revisited 417--454
Bobby Schnabel Education . . . . . . . . . . . . . . . 455--455
B. Schnabel Untitled . . . . . . . . . . . . . . . . 455--455
Jeremy F. Alm and
James S. Walker Time-Frequency Analysis of Musical
Instruments . . . . . . . . . . . . . . 457--476
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 477--522
Nicholas J. Higham Review of ``Arnold Neumaier.
\booktitleIntroduction to Numerical
Analysis. Cambridge University Press,
2001'' . . . . . . . . . . . . . . . . . 492--493
Nick Trefethen Survey and Review . . . . . . . . . . . 523--523
N. Trefethen Survey and review --- Introduction . . . 523--523
Anders Forsgren and
Philip E. Gill and
Margaret H. Wright Interior Methods for Nonlinear
Optimization . . . . . . . . . . . . . . 525--597
Joe Flaherty Problems and Techniques . . . . . . . . 599--599
J. Flaherty Problems and techniques --- Introduction 599--599
Chung-Piaw P. Teo and
Siew Meng Leong Managing Risk in a Four-Digit Number
Game . . . . . . . . . . . . . . . . . . 601--615
Steven P. Ellis Fitting a Line to Three or Four Points
on a Plane . . . . . . . . . . . . . . . 616--628
Anonymous SIGEST . . . . . . . . . . . . . . . . . 629--629
The Editors SIGEST . . . . . . . . . . . . . . . . . 629--629
Pedro Morin and
Ricardo H. Nochetto and
Kunibert G. Siebert Convergence of Adaptive Finite Element
Methods . . . . . . . . . . . . . . . . 631--658
Bobby Schnabel Education . . . . . . . . . . . . . . . 659--659
B. Schnabel Education --- Introduction . . . . . . . 659--659
Desmond J. Higham Nine Ways to Implement the Binomial
Method for Option Valuation in MATLAB 661--677
A. Madhukar and
T. Parent and
I. G. Rosen and
C. Wang An Elementary Model for Control of a
Semiconductor Etching Process . . . . . 678--695
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 697--747
Randy LeVeque Survey and review --- Introduction . . . 1--1
Cleve Moler and
Charles Van Loan Nineteen Dubious Ways to Compute the
Exponential of a Matrix, Twenty-Five
Years Later . . . . . . . . . . . . . . 3--49
Joe Flaherty Problems and Techniques . . . . . . . . 51--51
J. Flaherty Problems and techniques --- Introduction 51--51
Jean-François Remacle and
Joseph E. Flaherty and
Mark S. Shephard An Adaptive Discontinuous Galerkin
Technique with an Orthogonal Basis
Applied to Compressible Flow Problems 53--72
Anonymous SIGEST . . . . . . . . . . . . . . . . . 73--73
The Editors SIGEST . . . . . . . . . . . . . . . . . 73--73
Steven J. Cox and
Paul X. Uhlig Where Best to Hold a Drum Fast . . . . . 75--92
Bobby Schnabel Education . . . . . . . . . . . . . . . 93--93
B. Schnabel Education --- Introduction . . . . . . . 93--93
L. Kondic Instabilities in Gravity Driven Flow of
Thin Fluid Films . . . . . . . . . . . . 95--115
Gábor Pataki Teaching Integer Programming
Formulations Using the Traveling
Salesman Problem . . . . . . . . . . . . 116--123
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 125--164
Randy LeVeque Survey and review --- Introduction . . . 165--165
M. E. J. Newman The Structure and Function of Complex
Networks . . . . . . . . . . . . . . . . 167--256
Joe Flaherty Problems and Techniques . . . . . . . . 257--257
J. Flaherty Problems and techniques --- Introduction 257--257
Mark Embree The Tortoise and the Hare Restart GMRES 259--266
Brian J. McCartin Eigenstructure of the Equilateral
Triangle, Part I: The Dirichlet Problem 267--287
Anonymous SIGEST . . . . . . . . . . . . . . . . . 289--289
The Editors SIGEST . . . . . . . . . . . . . . . . . 289--289
Randolph E. Bank and
Michael Holst A New Paradigm for Parallel Adaptive
Meshing Algorithms . . . . . . . . . . . 291--323
Bobby Schnabel Education . . . . . . . . . . . . . . . 325--325
B. Schnabel Education --- Introduction . . . . . . . 325--325
Eric Bakker and
A. J. Meir How Do Pulsed Amperometric Ion Sensors
Work? A Simple PDE Model . . . . . . . . 327--344
Geert Jan Olsder Bicycle Routing for Maximum Suntan . . . 345--358
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 359--381
Randy LeVeque Survey and review --- Introduction . . . 383--383
Tamara G. Kolda and
Robert Michael Lewis and
Virginia Torczon Optimization by Direct Search: New
Perspectives on Some Classical and
Modern Methods . . . . . . . . . . . . . 385--482
Joe Flaherty Problems and techniques --- Introduction 483--483
Aslihan Altay-Salih and
Mustafa C. Pinar and
Sven Leyffer Constrained Nonlinear Programming for
Volatility Estimation with GARCH Models 485--503
Nicholas J. Higham $J$-Orthogonal Matrices: Properties and
Generation . . . . . . . . . . . . . . . 504--519
Anonymous SIGEST . . . . . . . . . . . . . . . . . 521--521
The Editors SIGEST . . . . . . . . . . . . . . . . . 521--521
Didier Pieroux and
Thomas Erneux and
Athanasios Gavrielides and
Vassilios Kovanis Hopf Bifurcation Subject to a Large
Delay in a Laser System . . . . . . . . 523--540
Bobby Schnabel Education . . . . . . . . . . . . . . . 541--541
B. Schnabel Education --- Introduction . . . . . . . 541--541
Jeffrey R. Hartline and
Ran Libeskind-Hadas The Computational Complexity of Motion
Planning . . . . . . . . . . . . . . . . 543--557
Kathleen Hoffman and
Fadil Santosa A Simple Model of Sheet Metal Assembly 558--573
Shlomo Engelberg Spread Spectrum from Two Perspectives 574--587
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 591--624
Randy LeVeque Survey and Review . . . . . . . . . . . 625--626
René Carmona and
Valdo Durrleman Pricing and Hedging Spread Options . . . 627--685
Joe Flaherty Problems and Techniques . . . . . . . . 687--687
Bo Wahlberg Orthogonal Rational Functions: a
Transformation Analysis . . . . . . . . 689--705
Ryan Rifkin and
Sayan Mukherjee and
Pablo Tamayo and
Sridhar Ramaswamy and
Chen-Hsiang Yeang and
Michael Angelo and
Michael Reich and
Tomaso Poggio and
Eric S. Lander and
Todd R. Golub and
Jill P. Mesirov An Analytical Method for Multiclass
Molecular Cancer Classification . . . . 706--723
Anonymous SIGEST . . . . . . . . . . . . . . . . . 725--725
The Editors SIGEST . . . . . . . . . . . . . . . . . 725--725
Danny Dolev and
Cynthia Dwork and
Moni Naor Nonmalleable Cryptography . . . . . . . 727--784
Bobby Schnabel Education . . . . . . . . . . . . . . . 785--785
Osman Yasar and
Rubin H. Landau Elements of Computational Science and
Engineering Education . . . . . . . . . 787--805
Paul J. Laumakis Designing a 401(k): a Case Study . . . . 806--813
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 815--845
Tamara G. Kolda and
Robert Michael Lewis and
Virginia Torczon Optimization by Direct Search: New
Perspectives on Some Classical and
Modern Methods . . . . . . . . . . . . . 385--482
Randy LeVeque Survey and Review . . . . . . . . . . . 1--1
Erik Elmroth and
Fred Gustavson and
Isak Jonsson and
Bo Kågström Recursive Blocked Algorithms and Hybrid
Data Structures for Dense Matrix Library
Software . . . . . . . . . . . . . . . . 3--45
Joe Flaherty Problems and Techniques . . . . . . . . 47--47
Graeme Fairweather and
Ian Gladwell Algorithms for Almost Block Diagonal
Linear Systems . . . . . . . . . . . . . 49--58
Luc Moreau and
Dirk Aeyels A Novel Variational Method for Deriving
Lagrangian and Hamiltonian Models of
Inductor-Capacitor Circuits . . . . . . 59--84
Anonymous SIGEST . . . . . . . . . . . . . . . . . 85--85
David D. Yao and
Shuzhong Zhang and
Xun Yu Zhou Stochastic Linear-Quadratic Control via
Primal-Dual Semidefinite Programming . . 87--111
Bobby Schnabel Education . . . . . . . . . . . . . . . 113--113
Matt Davison and
Andrea Doeschl A Hyperbolic PDE with Parabolic Behavior 115--127
Alistair D. Fitt and
Colin P. Please On the Separation of Coconuts: a
Modeling Week Study . . . . . . . . . . 128--139
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 143--185
Joe Flaherty Problems and Techniques . . . . . . . . 187--188
Uwe Schäfer A Linear Complementarity Problem with a
$P$-Matrix . . . . . . . . . . . . . . . 189--201
Karin S. Dorman and
Janet S. Sinsheimer and
Kenneth Lange In the Garden of Branching Processes . . 202--229
Jacek Turski Geometric Fourier Analysis of the
Conformal Camera for Active Vision . . . 230--255
Chris H. Q. Ding and
Hongyuan Zha and
Xiaofeng He and
Parry Husbands and
Horst D. Simon Link Analysis: Hubs and Authorities on
the World Wide Web . . . . . . . . . . . 256--268
Tilmann Gneiting and
Martin Schlather Stochastic Models That Separate Fractal
Dimension and the Hurst Effect . . . . . 269--282
Anonymous SIGEST . . . . . . . . . . . . . . . . . 283--283
The Editors SIGEST . . . . . . . . . . . . . . . . . 283--283
Noga Alon and
Seannie Dar and
Michal Parnas and
Dana Ron Testing of clustering (Reprinted from
\booktitleSIAM Journal on Discrete
Mathematics, vol 16, pg 393, 2003) . . . 285--308
Bobby Schnabel Education . . . . . . . . . . . . . . . 309--309
Vito Lampret An Invitation to Hermite's Integration
and Summation: a Comparison between
Hermite's and Simpson's Rules . . . . . 311--328
Per-Olof O. Persson and
Gilbert Strang A Simple Mesh Generator in MATLAB . . . 329--345
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 347--374
Randy LeVeque Survey and Review . . . . . . . . . . . 375--375
Roberto Serrano The Theory of Implementation of Social
Choice Rules . . . . . . . . . . . . . . 377--414
Joe Flaherty Problems and Techniques . . . . . . . . 415--416
Eivind Stensholt Single Transferable Votes with Tax Cuts 417--442
Leslie Greengard and
June-Yub Y. Lee Accelerating the Nonuniform Fast Fourier
Transform . . . . . . . . . . . . . . . 443--454
V. Ivancevic Symplectic Rotational Geometry in Human
Biomechanics . . . . . . . . . . . . . . 455--474
Anonymous SIGEST . . . . . . . . . . . . . . . . . 475--475
The Editors SIGEST . . . . . . . . . . . . . . . . . 475--475
Giovanni Alessandrini and
Antonino Morassi and
Edi Rosset Detecting an Inclusion in an Elastic
Body by Boundary Measurements . . . . . 477--498
Bobby Schnabel Education . . . . . . . . . . . . . . . 499--499
Jean-Paul P. Berrut and
Lloyd N. Trefethen Barycentric Lagrange Interpolation . . . 501--517
Neil Muller and
Lourenço Magaia and
B. M. Herbst Singular Value Decomposition,
Eigenfaces, and $3$D Reconstructions . . 518--545
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 547--595
J. D. Carter Mathematica 5.0 . . . . . . . . . . . . 564--568
R. LeVeque Introduction . . . . . . . . . . . . . . 597--597
Randy LeVeque Survey and Review . . . . . . . . . . . 597--597
Neal Koblitz and
Alfred J. Menezes A Survey of Public-Key Cryptosystems . . 599--634
J. Flaherty Introduction . . . . . . . . . . . . . . 635--636
Joe Flaherty Problems and Techniques . . . . . . . . 635--636
Gilbert Strang and
Tri Nguyen The Interplay of Ranks of Submatrices 637--646
Vincent D. Blondel and
Anahí Gajardo and
Maureen Heymans and
Pierre Senellart and
Paul Van Dooren A Measure of Similarity between Graph
Vertices: Applications to Synonym
Extraction and Web Searching . . . . . . 647--666
Stephen Boyd and
Persi Diaconis and
Lin Xiao Fastest Mixing Markov Chain on a Graph 667--689
Anonymous SIGEST . . . . . . . . . . . . . . . . . 691--691
The Editors SIGEST . . . . . . . . . . . . . . . . . 691--691
Jing-Rebecca R. Li and
Jacob White Low-Rank Solution of Lyapunov Equations 693--713
Bobby Schnabel Education . . . . . . . . . . . . . . . 715--715
William T. Shaw Recovering Holomorphic Functions from
Their Real or Imaginary Parts without
the Cauchy--Riemann Equations . . . . . 717--728
Joseph D. Skufca Analysis Still Matters: a Surprising
Instance of Failure of
Runge--Kutta--Felberg ODE Solvers . . . 729--737
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 740--771
Randy LeVeque Survey and Review . . . . . . . . . . . 1--1
David S. Watkins Product Eigenvalue Problems . . . . . . 3--40
Joe Flaherty Problems and Techniques . . . . . . . . 41--42
Nicolas Burq and
Maciej Zworski Bouncing Ball Modes and Quantum Chaos 43--49
Pavel Bochev and
R. B. Lehoucq On the Finite Element Solution of the
Pure Neumann Problem . . . . . . . . . . 50--66
Brendan Vastenhouw and
Rob H. Bisseling A Two-Dimensional Data Distribution
Method for Parallel Sparse Matrix-Vector
Multiplication . . . . . . . . . . . . . 67--95
Anonymous SIGEST . . . . . . . . . . . . . . . . . 97--97
The Editors SIGEST . . . . . . . . . . . . . . . . . 97--97
Philip E. Gill and
Walter Murray and
Michael A. Saunders SNOPT: An SQP Algorithm for Large-Scale
Constrained Optimization . . . . . . . . 99--131
Bobby Schnabel Education . . . . . . . . . . . . . . . 133--133
Amy N. Langville and
Carl D. Meyer A Survey of Eigenvector Methods for Web
Information Retrieval . . . . . . . . . 135--161
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 163--193
Randy LeVeque Survey and Review . . . . . . . . . . . 195--195
Enrique Zuazua Propagation, Observation, and Control of
Waves Approximated by Finite Difference
Methods . . . . . . . . . . . . . . . . 197--243
Joe Flaherty Problems and Techniques . . . . . . . . 245--246
Valeria Simoncini and
Daniel B. Szyld On the Occurrence of Superlinear
Convergence of Exact and Inexact Krylov
Subspace Methods . . . . . . . . . . . . 247--272
Bryan Cooley and
Paul K. Newton Iterated Impact Dynamics of $ {N}
$-Beads on a Ring . . . . . . . . . . . 273--300
J. D. Skufca k workers in a circular warehouse: A
random walk on a circle, without passing 301--314
Joseph D. Skufca $k$ Workers in a Circular Warehouse: a
Random Walk on a Circle, without Passing 301--314
Anonymous SIGEST . . . . . . . . . . . . . . . . . 315--315
The Editors SIGEST . . . . . . . . . . . . . . . . . 315--315
M. Brezina and
R. Falgout and
S. MacLachlan and
T. Manteuffel and
S. McCormick and
J. Ruge Adaptive Smoothed Aggregation ($ \alpha
$SA) Multigrid . . . . . . . . . . . . . 317--346
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 347--347
Gastão A. Braga and
Rémy Sanchis and
Tiago A. Schieber Critical Percolation on a Bethe Lattice
Revisited . . . . . . . . . . . . . . . 349--365
Bob O'Malley Book Reviews: Recent Books on the
Mathematics of Finance . . . . . . . . . 367--403
Nicholas J. Higham Book Review: The SIAM 100-Digit
Challenge: A Study in High-Accuracy
Numerical Computing. By Folkmar
Bornemann, Dirk Laurie, Stan Wagon, and
Jörg Waldvogel. SIAM, Philadelphia, 2004.
\$57.00. xii + 306 pp., hardcover. ISBN
0-89871-561-X} . . . . . . . . . . . . . 382--383
Randy LeVeque Survey and review --- Introduction . . . 405--405
Peter Lancaster and
Leiba Rodman Canonical Forms for Hermitian Matrix
Pairs under Strict Equivalence and
Congruence . . . . . . . . . . . . . . . 407--443
Joe Flaherty Problems and techniques --- Introduction 445--446
Per Edström A Fast and Stable Solution Method for
the Radiative Transfer Problem . . . . . 447--468
Timo Betcke and
Lloyd N. Trefethen Reviving the Method of Particular
Solutions . . . . . . . . . . . . . . . 469--491
Christopher A. Beattie and
Mark Embree and
D. C. Sorensen Convergence of Polynomial Restart Krylov
Methods for Eigenvalue Computations . . 492--515
Anonymous SIGEST --- Introduction . . . . . . . . 517--517
The Editors SIGEST . . . . . . . . . . . . . . . . . 517--517
R. M. Ghigliazza and
R. Altendorfer and
P. Holmes and
D. Koditschek A Simply Stabilized Running Model . . . 519--549
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 551--551
A. J. Bernoff Education --- Introduction . . . . . . . 551--551
John P. Boyd Hyperasymptotics and the Linear Boundary
Layer Problem: Why Asymptotic Series
Diverge . . . . . . . . . . . . . . . . 553--575
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 577--626
Michael Overton Survey and Review . . . . . . . . . . . 627--627
Assefaw Hadish Gebremedhin and
Fredrik Manne and
Alex Pothen What Color Is Your Jacobian? Graph
Coloring for Computing Derivatives . . . 629--705
Ilse Ipsen Problems and Techniques . . . . . . . . 707--707
Milind W. Dawande and
H. Neil Geismar and
Suresh P. Sethi Dominance of Cyclic Solutions and
Challenges in the Scheduling of Robotic
Cells . . . . . . . . . . . . . . . . . 709--721
H. Neil Geismar and
Milind W. Dawande and
Suresh P. Sethi Dominance of Cyclic Solutions and
Challenges in the Scheduling of Robotic
Cells . . . . . . . . . . . . . . . . . 709--721
Miguel Torres-Torriti and
Hannah Michalska A Software Package for Lie Algebraic
Computations . . . . . . . . . . . . . . 722--745
Anonymous SIGEST . . . . . . . . . . . . . . . . . 746--746
The Editors SIGEST . . . . . . . . . . . . . . . . . 746--746
Frithjof Lutscher and
Elizaveta Pachepsky and
Mark A. Lewis The Effect of Dispersal Patterns on
Stream Populations . . . . . . . . . . . 749--772
Elizaveta Pachepsky and
Frithjof Lutscher and
Mark A. Lewis The Effect of Dispersal Patterns on
Stream Populations . . . . . . . . . . . 749--772
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 773--773
Joerg M. Gablonsky and
Andrew S. I. D. Lang Modeling Basketball Free Throws . . . . 775--798
Reuben Hersh and
Roger Frye Book Review: \booktitleMathematics by
Experiment: Plausible Reasoning in the
21st Century . . . . . . . . . . . . . . 832--833
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 799--858
Fadil Santosa Survey and Review . . . . . . . . . . . 1--1
Arno B. J. Kuijlaars Convergence Analysis of Krylov Subspace
Iterations with Methods from Potential
Theory . . . . . . . . . . . . . . . . . 3--40
Ilse Ipsen Problems and Techniques . . . . . . . . 41--42
James E. Falk and
Nozer D. Singpurwalla and
Yefim Y. Vladimirsky Reliability Allocation for Networks and
Systems . . . . . . . . . . . . . . . . 43--65
Luis González Orthogonal Projections of the Identity:
Spectral Analysis and Applications to
Approximate Inverse Preconditioning . . 66--75
John Wojdylo Computing the Coefficients in Laplace's
Method . . . . . . . . . . . . . . . . . 76--96
The Editors SIGEST . . . . . . . . . . . . . . . . . 97--98
U. Feige and
R. Krauthgamer A polylogarithmic approximation of the
minimum bisection (Reprinted from SIAM
Journal on Computing, vol 31, 2002) . . 99--130
Robert Krauthgamer and
Uriel Feige A Polylogarithmic Approximation of the
Minimum Bisection . . . . . . . . . . . 99--130
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 131--131
Eugenio Roanes-Lozano and
Alfonso González-Bermejo and
Eugenio Roanes-Macías and
Justo Cabezas An Application of Computer Algebra to
Pharmacokinetics: The Bateman Equation 133--146
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 149--204
Nicholas J. Higham Review of ``Alan J. Laub.
\booktitleMatrix Analysis for Scientists
and Engineers'' . . . . . . . . . . . . 170--171
Fadil Santosa Survey and Review . . . . . . . . . . . 205--205
Philip Holmes and
Robert J. Full and
Dan Koditschek and
John Guckenheimer The Dynamics of Legged Locomotion:
Models, Analyses, and Challenges . . . . 207--304
Ilse Ipsen Problems and Techniques . . . . . . . . 305--305
Enrique Castillo and
Antonio J. Conejo and
Carmen Castillo and
Roberto Mínguez Solving Ordinary Differential Equations
with Range Conditions. Applications . . 307--317
Allen R. Miller and
Ira S. Moskowitz Difference of Sums Containing Products
of Binomial Coefficients and Their
Logarithms . . . . . . . . . . . . . . . 318--325
The Editors SIGEST . . . . . . . . . . . . . . . . . 327--327
M. H. Vellekoop and
J. M. C. Clark A Nonlinear Filtering Approach to
Changepoint Detection Problems: Direct
and Differential-Geometric Methods . . . 329--356
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 357--357
Daniel E. Finkel and
Christopher Kuster and
Matthew Lasater and
Rachel Levy and
Jill P. Reese and
Ilse C. F. Ipsen Communicating Applied Mathematics: Four
Examples . . . . . . . . . . . . . . . . 359--389
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 393--436
Javier Segura Review of \booktitleOrthogonal
Polynomials: Computation and
Approximation by Walter Gautschi . . . . 431--433
Fadil Santosa Survey and Review . . . . . . . . . . . 437--437
Martin Kruzík and
Andreas Prohl Recent Developments in the Modeling,
Analysis, and Numerics of Ferromagnetism 439--483
Ilse Ipsen Problems and Techniques . . . . . . . . 485--485
Art B. Owen Halton Sequences Avoid the Origin . . . 487--503
Frederik J. Simons and
F. A. Dahlen and
Mark A. Wieczorek Spatiospectral Concentration on a Sphere 504--536
John W. Cain and
David G. Schaeffer Two-Term Asymptotic Approximation of a
Cardiac Restitution Curve . . . . . . . 537--546
The Editors SIGEST . . . . . . . . . . . . . . . . . 547--547
Amy N. Myers and
Herbert S. Wilf Some New Aspects of the Coupon
Collector's Problem . . . . . . . . . . 549--565
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 567--567
Kurt Bryan and
Tanya Leise The \$25,000,000,000 Eigenvector: The
Linear Algebra behind {Google} . . . . . 569--581
Jonathan M. Borwein Featured Review: \booktitleOxford Users'
Guide to Mathematics. Edited by Eberhard
Zeidler. Oxford University Press,
Oxford, 2004. \$59.50. xxii + 1285 pp.,
softcover. ISBN 0-19-850763-1} . . . . . 585--594
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 585--626
Fadil Santosa Survey and Review . . . . . . . . . . . 627--627
J. Nathan Kutz Mode-Locked Soliton Lasers . . . . . . . 629--678
Ilse Ipsen Problems and Techniques . . . . . . . . 679--680
Jun Sun and
Stephen Boyd and
Lin Xiao and
Persi Diaconis The Fastest Mixing Markov Process on a
Graph and a Connection to a Maximum
Variance Unfolding Problem . . . . . . . 681--699
Roger P. Pawlowski and
John N. Shadid and
Joseph P. Simonis and
Homer F. Walker Globalization Techniques for
Newton--Krylov Methods and Applications
to the Fully Coupled Solution of the
Navier--Stokes Equations . . . . . . . . 700--721
Paul K. Newton and
Kamran Aslam Monte Carlo Tennis . . . . . . . . . . . 722--742
Anonymous SIGEST . . . . . . . . . . . . . . . . . 743--743
Govind Menon and
Robert L. Pego Dynamical Scaling in Smoluchowski's
Coagulation Equations: Uniform
Convergence . . . . . . . . . . . . . . 745--768
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 769--769
Darryl Yong Strings, Chains, and Ropes . . . . . . . 771--781
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 785--821
Fadil Santosa Survey and Review . . . . . . . . . . . 1--1
Lior Pachter and
Bernd Sturmfels The Mathematics of Phylogenomics . . . . 3--31
Ilse Ipsen Problems and Techniques . . . . . . . . 33--34
Thomas Hillen A Classification of Spikes and Plateaus 35--51
Lieven Vandenberghe and
Stephen Boyd and
Katherine Comanor Generalized Chebyshev Bounds via
Semidefinite Programming . . . . . . . . 52--64
Robert M. Dirks and
Justin S. Bois and
Joseph M. Schaeffer and
Erik Winfree and
Niles A. Pierce Thermodynamic Analysis of Interacting
Nucleic Acid Strands . . . . . . . . . . 65--88
Anonymous SIGEST . . . . . . . . . . . . . . . . . 89--89
Desmond J. Higham A Matrix Perturbation View of the Small
World Phenomenon . . . . . . . . . . . . 91--108
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 109--109
C. J. Efthimiou and
M. D. Johnson Domino Waves . . . . . . . . . . . . . . 111--120
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 123--176
Fadil Santosa Survey and Review . . . . . . . . . . . 177--177
Tiina Roose and
S. Jonathan Chapman and
Philip K. Maini Mathematical Models of Avascular Tumor
Growth . . . . . . . . . . . . . . . . . 179--208
Ilse Ipsen Problems and Techniques . . . . . . . . 209--209
Persi Diaconis and
Susan Holmes and
Richard Montgomery Dynamical Bias in the Coin Toss . . . . 211--235
Martin Moennigmann and
Wolfgang Marquardt and
Christian H. Bischof and
Thomas Beelitz and
Bruno Lang and
Paul Willems A hybrid approach for efficient robust
design of dynamic systems . . . . . . . 236--254
Martin Mönnigmann and
Wolfgang Marquardt and
Christian H. Bischof and
Thomas Beelitz and
Bruno Lang and
Paul Willems A Hybrid Approach for Efficient Robust
Design of Dynamic Systems . . . . . . . 236--254
Jean-Baptiste Hiriart-Urruty Potpourri of Conjectures and Open
Questions in Nonlinear Analysis and
Optimization . . . . . . . . . . . . . . 255--273
Anonymous SIGEST . . . . . . . . . . . . . . . . . 275--275
Chris Homescu and
Linda R. Petzold and
Radu Serban Error Estimation for Reduced-Order
Models of Dynamical Systems . . . . . . 277--299
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 301--301
Jorge Aarão Fundamental Solutions for Some Partial
Differential Operators from Fluid
Dynamics and Statistical Physics . . . . 303--314
Aviad Rubinstein and
Jacob Rubinstein and
Gershon Wolansky Determining Sets for the Discrete
Laplacian . . . . . . . . . . . . . . . 315--324
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 327--367
Fadil Santosa Survey and review . . . . . . . . . . . ix--ix
Fadil Santosa Survey and Review . . . . . . . . . . . 369--369
Imre Pólik and
Tamás Terlaky A Survey of the $S$-Lemma . . . . . . . 371--418
Ilse Ipsen Problems and Techniques . . . . . . . . 419--420
Arthur H. Copeland, Jr. Buchberger's Algorithm and the
Two-Locus, Two-Allele Model . . . . . . 421--433
Alexandre d'Aspremont and
Laurent El Ghaoui and
Michael I. Jordan and
Gert R. G. Lanckriet A Direct Formulation for Sparse PCA
Using Semidefinite Programming . . . . . 434--448
D. Rozier and
F. Birol and
E. Cosme and
P. Brasseur and
J. M. Brankart and
J. Verron A Reduced-Order Kalman Filter for Data
Assimilation in Physical Oceanography 449--465
The Editors SIGEST . . . . . . . . . . . . . . . . . 467--467
Ju Li and
Panayotis G. Kevrekidis and
C. William Gear and
Ioannis G. Kevrekidis Deciding the Nature of the Coarse
Equation through Microscopic
Simulations: The Baby-Bathwater Scheme 469--487
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 489--489
Jon Jacobsen As Flat As Possible . . . . . . . . . . 491--507
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 511--542
Fadil Santosa Survey and Review . . . . . . . . . . . 543--543
Robert Shorten and
Fabian Wirth and
Oliver Mason and
Kai Wulff and
Christopher King Stability Criteria for Switched and
Hybrid Systems . . . . . . . . . . . . . 545--592
Ilse Ipsen Problems and Techniques . . . . . . . . 593--593
Bora Uçar and
Cevdet Aykanat Revisiting Hypergraph Models for Sparse
Matrix Partitioning . . . . . . . . . . 595--603
M. Berzins Adaptive Polynomial Interpolation on
Evenly Spaced Meshes . . . . . . . . . . 604--627
Natalie A. Cartwright and
Kurt E. Oughstun Uniform Asymptotics Applied to
Ultrawideband Pulse Propagation . . . . 628--648
Anonymous Introduction . . . . . . . . . . . . . . 649--649
The Editors SIGEST . . . . . . . . . . . . . . . . . 649--649
Jean B. Lasserre A Sum of Squares Approximation of
Nonnegative Polynomials . . . . . . . . 651--669
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 671--671
Tobin A. Driscoll and
Kara L. Maki Searching for Rare Growth Factors Using
Multicanonical Monte Carlo Methods . . . 673--692
Bob O'Malley Introduction . . . . . . . . . . . . . . 693--693
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 695--732
Fadil Santosa Survey and Review . . . . . . . . . . . 1--1
Walter Gautschi Leonhard Euler: His Life, the Man, and
His Works . . . . . . . . . . . . . . . 3--33
Ilse Ipsen Problems and Techniques . . . . . . . . 35--35
Arpita Ghosh and
Stephen Boyd and
Amin Saberi Minimizing Effective Resistance of a
Graph . . . . . . . . . . . . . . . . . 37--66
Lloyd N. Trefethen Is Gauss Quadrature Better than
Clenshaw--Curtis? . . . . . . . . . . . 67--87
The Editors SIGEST . . . . . . . . . . . . . . . . . 89--89
Olaf Schenk and
Matthias Bollhöfer and
Rudolf A. Römer On Large-Scale Diagonalization
Techniques for the Anderson Model of
Localization . . . . . . . . . . . . . . 91--112
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 113--113
Heinz H. Bauschke and
Yves Lucet and
Michael Trienis How to Transform One Convex Function
Continuously into Another . . . . . . . 115--132
David S. Watkins The $ Q R $ Algorithm Revisited . . . . 133--145
John D. Carter Featured review: Mathematica 6 . . . . . 149--152
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 149--195
Fadil Santosa Survey and review --- Introduction . . . 197--197
Robin Pemantle and
Mark C. Wilson Twenty Combinatorial Examples of
Asymptotics Derived from Multivariate
Generating Functions . . . . . . . . . . 199--272
Ilse Ipsen Problems and techniques --- Introduction 273--273
José L. López Asymptotic Expansions of Mellin
Convolution Integrals . . . . . . . . . 275--293
Enrique Castillo and
Antonio J. Conejo and
Ernesto Aranda Sensitivity Analysis in Calculus of
Variations. Some Applications . . . . . 294--312
Richard S. Chadwick and
Zhijie Liao High-Frequency Oscillations of a Sphere
in a Viscous Fluid near a Rigid Plane 313--322
Anonymous Sigest --- Introduction . . . . . . . . 323--323
The Editors SIGEST . . . . . . . . . . . . . . . . . 323--323
Nawaf M. Bou-Rabee and
Jerrold E. Marsden and
Louis A. Romero Dissipation-Induced Heteroclinic Orbits
in Tippe Tops . . . . . . . . . . . . . 325--344
Andrew J. Bernoff Education --- Introduction . . . . . . . 345--345
Desmond J. Higham Modeling and Simulating Chemical
Reactions . . . . . . . . . . . . . . . 347--368
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 371--410
Fadil Santosa Survey and review --- Introduction . . . 411--411
Yi Ma and
Allen Y. Yang and
Harm Derksen and
Robert Fossum Estimation of Subspace Arrangements with
Applications in Modeling and Segmenting
Mixed Data . . . . . . . . . . . . . . . 413--458
Robert E. O'Malley, Jr. Singularly Perturbed Linear Two-Point
Boundary Value Problems . . . . . . . . 459--482
Ilse Ipsen Problems and techniques --- Introduction 483--483
J. Liesen and
Z. Strako\vs On Optimal Short Recurrences for
Generating Orthogonal Krylov Subspace
Bases . . . . . . . . . . . . . . . . . 485--503
Charles L. Epstein and
John Schotland The Bad Truth about Laplace's Transform 504--520
Anonymous Sigest --- Introduction . . . . . . . . 521--521
The Editors SIGEST . . . . . . . . . . . . . . . . . 521--521
R. O. Moore and
G. Biondini and
W. L. Kath A Method to Compute Statistics of Large,
Noise-Induced Perturbations of Nonlinear
Schrödinger Solitons . . . . . . . . . . 523--549
Andrew J. Bernoff Education --- Introduction . . . . . . . 551--551
Anne J. Catllá and
David G. Schaeffer and
Thomas P. Witelski and
Eric E. Monson and
Anna L. Lin On Spiking Models for Synaptic Activity
and Impulsive Differential Equations . . 553--569
Kre\vsimir Josi\'c and
Robert Rosenbaum Unstable Solutions of Nonautonomous
Linear Differential Equations . . . . . 570--584
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 587--626
Fadil Santosa Survey and Review . . . . . . . . . . . 627--627
Mario di Bernardo and
Chris J. Budd and
Alan R. Champneys and
Piotr Kowalczyk and
Arne B. Nordmark and
Gerard Olivar Tost and
Petri T. Piiroinen Bifurcations in Nonsmooth Dynamical
Systems . . . . . . . . . . . . . . . . 629--701
Vadim Kaloshin and
Mark Levi Geometry of Arnold Diffusion . . . . . . 702--720
Ilse Ipsen Problems and Techniques . . . . . . . . 721--721
Donna A. Calhoun and
Christiane Helzel and
Randall J. LeVeque Logically Rectangular Grids and Finite
Volume Methods for PDEs in Circular and
Spherical Domains . . . . . . . . . . . 723--752
The Editors SIGEST . . . . . . . . . . . . . . . . . 753--753
Dorit Aharonov and
Wim van Dam and
Julia Kempe and
Zeph Landau and
Seth Lloyd and
Oded Regev Adiabatic Quantum Computation Is
Equivalent to Standard Quantum
Computation . . . . . . . . . . . . . . 755--787
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 789--789
John P. Boyd The Blasius Function: Computations
Before Computers, the Value of Tricks,
Undergraduate Projects, and Open
Research Problems . . . . . . . . . . . 791--804
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 807--819
Fadil Santosa Survey and Review . . . . . . . . . . . 1--1
Allan Greenleaf and
Yaroslav Kurylev and
Matti Lassas and
Gunther Uhlmann Cloaking Devices, Electromagnetic
Wormholes, and Transformation Optics . . 3--33
Alfred M. Bruckstein and
David L. Donoho and
Michael Elad From Sparse Solutions of Systems of
Equations to Sparse Modeling of Signals
and Images . . . . . . . . . . . . . . . 34--81
Chi-Wang Shu High Order Weighted Essentially
Nonoscillatory Schemes for Convection
Dominated Problems . . . . . . . . . . . 82--126
Ilse Ipsen Problems and Techniques . . . . . . . . 127--127
Kaushik Datta and
Shoaib Kamil and
Samuel Williams and
Leonid Oliker and
John Shalf and
Katherine Yelick Optimization and Performance Modeling of
Stencil Computations on Modern
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The Editors SIGEST . . . . . . . . . . . . . . . . . 161--161
Jorge Cortés and
Francesco Bullo Nonsmooth Coordination and Geometric
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Andrew J. Bernoff Education . . . . . . . . . . . . . . . 191--191
Robert S. Manning Conjugate Points Revisited and
Neumann--Neumann Problems . . . . . . . 193--212
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 215--236
Fadil Santosa Survey and Review . . . . . . . . . . . 237--237
Luc Bouten and
Ramon van Handel and
Matthew R. James A Discrete Invitation to Quantum
Filtering and Feedback Control . . . . . 239--316
Jan Brandts and
Sergey Korotov and
Michal K\vrí\vzek and
Jakub \vSolc On Nonobtuse Simplicial Partitions . . . 317--335
Ilse Ipsen Problems and Techniques . . . . . . . . 337--337
Seung-Jean Kim and
Kwangmoo Koh and
Stephen Boyd and
Dimitry Gorinevsky $ \ell_1 $ Trend Filtering . . . . . . . 339--360
Alfio Borz\`\i and
Volker Schulz Multigrid Methods for PDE Optimization 361--395
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Steve Butler and
Mohammad T. Hajiaghayi and
Robert D. Kleinberg and
Tom Leighton Hat Guessing Games . . . . . . . . . . . 399--413
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 415--415
Michel Dekking and
André Hensbergen A Problem with the Assessment of an Iris
Identification System . . . . . . . . . 417--422
François Blanchette and
Yue Lei Energy Considerations for Multiphase
Fluids with Variable Density and Surface
Tension . . . . . . . . . . . . . . . . 423--431
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 435--452
Fadil Santosa Survey and Review . . . . . . . . . . . 453--453
Tamara G. Kolda and
Brett W. Bader Tensor Decompositions and Applications 455--500
Paul K. Newton and
George Chamoun Vortex Lattice Theory: a Particle
Interaction Perspective . . . . . . . . 501--542
Ilse Ipsen Problems and Techniques . . . . . . . . 543--543
Hongyuan Zha and
Zhenyue Zhang Spectral Properties of the Alignment
Matrices in Manifold Learning . . . . . 545--566
Jianhong (Jackie) Shen Least-Squares Halftoning via Human
Vision System and Markov Gradient
Descent (LS-MGD): Algorithm and Analysis 567--589
The Editors SIGEST . . . . . . . . . . . . . . . . . 591--591
Giuseppe Buttazzo and
Filippo Santambrogio A Mass Transportation Model for the
Optimal Planning of an Urban Region . . 593--610
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 611--611
Georg A. Gottwald and
Marcel Oliver Boltzmann's Dilemma: An Introduction to
Statistical Mechanics via the Kac Ring 613--635
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 639--658
John Verzani \it Computational statistics handbook
with MATLAB. Second edition [book review
of MR2404036] . . . . . . . . . . . . . 654--656
Fadil Santosa Survey and Review: Introduction . . . . 659--659
Aaron Clauset and
Cosma Rohilla Shalizi and
M. E. J. Newman Power-Law Distributions in Empirical
Data . . . . . . . . . . . . . . . . . . 661--703
Ilse Ipsen Problems and Techniques: Introduction 705--705
Eddie Wadbro and
Martin Berggren Megapixel Topology Optimization on a
Graphics Processing Unit . . . . . . . . 707--721
D. Henrion and
J. B. Lasserre and
C. Savorgnan Approximate Volume and Integration for
Basic Semialgebraic Sets . . . . . . . . 722--743
Anonymous SIGEST --- Introduction . . . . . . . . 745--745
The Editors SIGEST . . . . . . . . . . . . . . . . . 745--745
Nicholas J. Higham The Scaling and Squaring Method for the
Matrix Exponential Revisited . . . . . . 747--764
Andrew J. Bernoff Education: Introduction . . . . . . . . 765--765
Robert J. Vanderbei and
Mustafa Ç. Pìnar Pricing American Perpetual Warrants by
Linear Programming . . . . . . . . . . . 767--782
Robert A. Beezer Sage. Version 3.4 . . . . . . . . . . . 785--790
Jonathan M. Borwein \it The Princeton companion to
mathematics [book review of 2467561] . . 790--794
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 785--807
Fadil Santosa Survey and Review . . . . . . . . . . . 1--1
Yousef Saad and
James R. Chelikowsky and
Suzanne M. Shontz Numerical Methods for Electronic
Structure Calculations of Materials . . 3--54
Ilse Ipsen Expository Research Papers . . . . . . . 55--55
S. L. Mitchell and
T. G. Myers Application of Standard and Refined Heat
Balance Integral Methods to
One-Dimensional Stefan Problems . . . . 57--86
Rafal Goebel and
Andrew R. Teel Preasymptotic Stability and Homogeneous
Approximations of Hybrid Dynamical
Systems . . . . . . . . . . . . . . . . 87--109
The Editors SIGEST . . . . . . . . . . . . . . . . . 111--111
A. Buades and
B. Coll and
J. M. Morel Image Denoising Methods. A New Nonlocal
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Andrew J. Bernoff Education . . . . . . . . . . . . . . . 149--149
Adam N. Elmachtoub and
Charles F. Van Loan From Random Polygon to Ellipse: An
Eigenanalysis . . . . . . . . . . . . . 151--170
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 173--217
Fadil Santosa Survey and Review . . . . . . . . . . . 219--219
Isaac Klapper and
Jack Dockery Mathematical Description of Microbial
Biofilms . . . . . . . . . . . . . . . . 221--265
Ilse Ipsen Expository Research Papers . . . . . . . 267--267
Robert C. Kirby From Functional Analysis to Iterative
Methods . . . . . . . . . . . . . . . . 269--293
Divakar Viswanath and
Sönmez \cSahuto\uglu Complex Singularities and the Lorenz
Attractor . . . . . . . . . . . . . . . 294--314
The Editors SIGEST . . . . . . . . . . . . . . . . . 315--315
Ivo Babu\vska and
Fabio Nobile and
Raúl Tempone A Stochastic Collocation Method for
Elliptic Partial Differential Equations
with Random Input Data . . . . . . . . . 317--355
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 357--357
Kurt Bryan and
Tanya Leise Impedance Imaging, Inverse Problems, and
Harry Potter's Cloak . . . . . . . . . . 359--377
Bradley M. Bell Kalman filtering with real-time
applications [book review of MR 1724120] 390--392
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 381--400
Fadil Santosa Survey and Review . . . . . . . . . . . 401--401
René Carmona and
Max Fehr and
Juri Hinz and
Arnaud Porchet Market Design for Emission Trading
Schemes . . . . . . . . . . . . . . . . 403--452
Ilse Ipsen Expository Research Papers . . . . . . . 453--453
Iain S. Duff and
Bora Uçar On the Block Triangular Form of
Symmetric Matrices . . . . . . . . . . . 455--470
Benjamin Recht and
Maryam Fazel and
Pablo A. Parrilo Guaranteed Minimum-Rank Solutions of
Linear Matrix Equations via Nuclear Norm
Minimization . . . . . . . . . . . . . . 471--501
The Editors SIGEST . . . . . . . . . . . . . . . . . 503--503
Yves Lucet What Shape Is Your Conjugate? A Survey
of Computational Convex Analysis and Its
Applications . . . . . . . . . . . . . . 505--542
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 543--543
Richard D. Neidinger Introduction to Automatic
Differentiation and MATLAB
Object-Oriented Programming . . . . . . 545--563
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 567--590
Fadil Santosa Survey and Review . . . . . . . . . . . 591--591
J.-B. Hiriart-Urruty and
A. Seeger A Variational Approach to Copositive
Matrices . . . . . . . . . . . . . . . . 593--629
C. M. Linton Lattice Sums for the Helmholtz Equation 630--674
Ilse Ipsen Expository Research Papers . . . . . . . 675--675
Habib Ammari and
Emmanuel Bossy and
Vincent Jugnon and
Hyeonbae Kang Mathematical Modeling in Photoacoustic
Imaging of Small Absorbers . . . . . . . 677--695
Ernesto Estrada and
Desmond J. Higham Network Properties Revealed through
Matrix Functions . . . . . . . . . . . . 696--714
Anonymous SIGEST . . . . . . . . . . . . . . . . . 715--715
The Editors SIGEST . . . . . . . . . . . . . . . . . 715--715
Takumi Washio and
Jun-ichi Okada and
Toshiaki Hisada A Parallel Multilevel Technique for
Solving the Bidomain Equation on a Human
Heart with Purkinje Fibers and a Torso
Model . . . . . . . . . . . . . . . . . 717--743
Andrew J. Bernoff Education . . . . . . . . . . . . . . . 745--745
Emmanuel Lefrançois and
Jean-Paul Boufflet An Introduction to Fluid-Structure
Interaction: Application to the Piston
Problem . . . . . . . . . . . . . . . . 747--767
Beresford Parlett Book Review: \booktitleThe matrix
eigenvalue problem: GR and Krylov
subspace methods [book review of
MR2383888]; \booktitleNumerical methods
for general and structured eigenvalue
problems [book review of MR2164298] . . 771--774
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 771--791
Jim Albert Mathematics in Games, Sports, and
Gambling: The Games People Play . . . . 774--775
Ronald Gould Mathletics: How Gamblers, Managers, and
Sports Enthusiasts Use Mathematics in
Baseball, Basketball, and Football . . . 776--777
Neal Koblitz Book Review: \booktitleDecrypted
Secrets: Methods and Maxims of
Cryptology. Fourth Edition. By Friedrich
L. Bauer . . . . . . . . . . . . . . . . 777--779
Mukkai Krishnamoorthy Elements of Computation Theory . . . . . 779--779
Alan J. Laub Linear Systems Theory . . . . . . . . . 779--781
Robert E. O'Malley, Jr. Ordinary Differential Equations:
Applications, Models, and Computing . . 781--782
Robert E. O'Malley, Jr. Lecture Notes on Applied Analysis . . . 782--782
Joseph O'Rourke Games, Puzzles, and Computation . . . . 782--785
Edward W. Packel Book Review: \booktitleMathematics and
Politics: Strategy, Voting, Power, and
Proof. Second Edition . . . . . . . . . 785--786
Hans-Goerg Roos Numerical Approximation Methods for
Elliptic Boundary Value Problems: Finite
and Boundary Elements . . . . . . . . . 786--787
Willy Sarlet Analytical Mechanics . . . . . . . . . . 787--790
David S. Watkins Book Review: \booktitleMatrix
Mathematics: Theory, Facts, and
Formulas. Second Edition . . . . . . . . 790--791
Fadil Santosa Survey and Review . . . . . . . . . . . 1--1
Hongyu Miao and
Xiaohua Xia and
Alan S. Perelson and
Hulin Wu On Identifiability of Nonlinear ODE
Models and Applications in Viral
Dynamics . . . . . . . . . . . . . . . . 3--39
Jin Keun Seo and
Eung Je Woo Magnetic Resonance Electrical Impedance
Tomography (MREIT) . . . . . . . . . . . 40--68
Ilse Ipsen Expository Research Papers . . . . . . . 69--69
Laurent Demanet and
Lexing Ying Discrete Symbol Calculus . . . . . . . . 71--104
Jeffrey D. Blanchard and
Coralia Cartis and
Jared Tanner Compressed Sensing: How Sharp Is the
Restricted Isometry Property? . . . . . 105--125
The Editors SIGEST . . . . . . . . . . . . . . . . . 127--127
Margaret Beck and
C. Eugene Wayne Using Global Invariant Manifolds to
Understand Metastability in the Burgers
Equation with Small Viscosity . . . . . 129--153
Louis F. Rossi Education . . . . . . . . . . . . . . . 155--155
Sebastian Franz and
Hans-Görg Roos The Capriciousness of Numerical Methods
for Singular Perturbations . . . . . . . 157--173
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 177--213
Fadil Santosa Survey and Review . . . . . . . . . . . 215--215
N. Halko and
P. G. Martinsson and
J. A. Tropp Finding Structure with Randomness:
Probabilistic Algorithms for
Constructing Approximate Matrix
Decompositions . . . . . . . . . . . . . 217--288
Ilse Ipsen Expository Research Papers . . . . . . . 289--289
Steven J. Brams and
Michael A. Jones and
Christian Klamler Divide-and-Conquer: a Proportional,
Minimal-Envy Cake-Cutting Algorithm . . 291--307
Rodrigo B. Platte and
Lloyd N. Trefethen and
Arno B. J. Kuijlaars Impossibility of Fast Stable
Approximation of Analytic Functions from
Equispaced Samples . . . . . . . . . . . 308--318
The Editors SIGEST . . . . . . . . . . . . . . . . . 319--319
Stephen A. Gourley and
Xingfu Zou A Mathematical Model for the Control and
Eradication of a Wood Boring Beetle
Infestation . . . . . . . . . . . . . . 321--345
Louis F. Rossi Education . . . . . . . . . . . . . . . 347--347
John M. Stockie The Mathematics of Atmospheric
Dispersion Modeling . . . . . . . . . . 349--372
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 375--405
Fadil Santosa Survey and Review . . . . . . . . . . . 407--407
Nicola Bellomo and
Christian Dogbe On the Modeling of Traffic and Crowds: a
Survey of Models, Speculations, and
Perspectives . . . . . . . . . . . . . . 409--463
Dimitris Bertsimas and
David B. Brown and
Constantine Caramanis Theory and Applications of Robust
Optimization . . . . . . . . . . . . . . 464--501
Ilse Ipsen Expository Research Papers . . . . . . . 503--503
M. R. Jeffrey and
S. J. Hogan The Geometry of Generic Sliding
Bifurcations . . . . . . . . . . . . . . 505--525
Amanda L. Traud and
Eric D. Kelsic and
Peter J. Mucha and
Mason A. Porter Comparing Community Structure to
Characteristics in Online Collegiate
Social Networks . . . . . . . . . . . . 526--543
Anonymous SIGEST . . . . . . . . . . . . . . . . . 545--545
The Editors SIGEST . . . . . . . . . . . . . . . . . 545--545
Anna Pagh and
Rasmus Pagh and
Milan Ruzi\'c Linear Probing with $5$-wise
Independence . . . . . . . . . . . . . . 547--558
Louis F. Rossi Education . . . . . . . . . . . . . . . 559--559
Peter Turner and
Linda Petzold and
Co-Chairs and
Angela Shiflet and
Ignatios Vakalis and
Kirk Jordan and
Samuel St. John Undergraduate Computational Science and
Engineering Education . . . . . . . . . 561--574
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 577--603
Fadil Santosa Survey and Review . . . . . . . . . . . 605--605
Joseph F. Grcar John von Neumann's Analysis of Gaussian
Elimination and the Origins of Modern
Numerical Analysis . . . . . . . . . . . 607--682
Zhenli Xu and
Wei Cai Fast Analytical Methods for Macroscopic
Electrostatic Models in Biomolecular
Simulations . . . . . . . . . . . . . . 683--720
Ilse Ipsen Expository Research Papers . . . . . . . 721--721
Matthew D. Finn and
Jean-Luc Thiffeault Topological Optimization of Rod-Stirring
Devices . . . . . . . . . . . . . . . . 723--743
The Editors SIGEST . . . . . . . . . . . . . . . . . 745--745
The Editors SIGEST . . . . . . . . . . . . . . . . . 745--745
Alex Olshevsky and
John N. Tsitsiklis Convergence Speed in Distributed
Consensus and Averaging . . . . . . . . 747--772
Louis F. Rossi Education . . . . . . . . . . . . . . . 773--773
S. B. G. O'Brien Lin & Segel's Standing Gradient Problem
Revisited: a Lesson in Mathematical
Modeling and Asymptotics . . . . . . . . 775--796
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 799--823
Desmond J. Higham Survey and Review . . . . . . . . . . . 1--1
J. R. Ockendon and
R. H. Tew Thin-Layer Solutions of the Helmholtz
and Related Equations . . . . . . . . . 3--51
Gareth Wyn Jones and
S. Jonathan Chapman Modeling Growth in Biological Materials 52--118
Ilse Ipsen Research Spotlights . . . . . . . . . . 119--119
Ilse Ipsen Untitled . . . . . . . . . . . . . . . . 119--120
Margot Kimura and
Jeff Moehlis Group Decision Making Models for
Sequential Tasks . . . . . . . . . . . . 121--138
Anonymous SIGEST . . . . . . . . . . . . . . . . . 139--139
The Editors SIGEST . . . . . . . . . . . . . . . . . 139--139
Péter Csorba and
Cor A. J. Hurkens and
Gerhard J. Woeginger The Alcuin Number of a Graph and Its
Connections to the Vertex Cover Number 141--154
Louis F. Rossi Education . . . . . . . . . . . . . . . 155--155
Steven J. Cox and
Mark Embree and
Jeffrey M. Hokanson One Can Hear the Composition of a
String: Experiments with an Inverse
Eigenvalue Problem . . . . . . . . . . . 157--178
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 181--208
Desmond J. Higham Survey and Review . . . . . . . . . . . 209--209
Mathieu Desroches and
John Guckenheimer and
Bernd Krauskopf and
Christian Kuehn and
Hinke M. Osinga and
Martin Wechselberger Mixed-Mode Oscillations with Multiple
Time Scales . . . . . . . . . . . . . . 211--288
Ray Tuminaro Research Spotlights . . . . . . . . . . 289--289
A. S. Fokas and
E. A. Spence Synthesis, as Opposed to Separation, of
Variables . . . . . . . . . . . . . . . 291--324
The Editors SIGEST . . . . . . . . . . . . . . . . . 325--325
Mark A. Peletier and
Giuseppe Savaré and
Marco Veneroni Chemical Reactions as $ \Gamma $-Limit
of Diffusion . . . . . . . . . . . . . . 327--352
Louis F. Rossi Education . . . . . . . . . . . . . . . 353--353
Aaron Melman Modified Gershgorin Disks for Companion
Matrices . . . . . . . . . . . . . . . . 355--373
Eleftherios Kirkinis The Renormalization Group: a
Perturbation Method for the Graduate
Curriculum . . . . . . . . . . . . . . . 374--388
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 391--417
Desmond J. Higham Survey and Review . . . . . . . . . . . 419--419
Olga Holtz and
Mikhail Tyaglov Structured Matrices, Continued
Fractions, and Root Localization of
Polynomials . . . . . . . . . . . . . . 421--509
Ray Tuminaro Research Spotlights . . . . . . . . . . 511--511
Venkat Chandrasekaran and
Pablo A. Parrilo and
Alan S. Willsky Convex Graph Invariants . . . . . . . . 513--541
The Editors SIGEST . . . . . . . . . . . . . . . . . 543--543
T. T. Ngo and
M. Bellalij and
Y. Saad The Trace Ratio Optimization Problem . . 545--569
Louis F. Rossi Education . . . . . . . . . . . . . . . 571--571
Martin J. Gander and
Felix Kwok Chladni Figures and the Tacoma Bridge:
Motivating PDE Eigenvalue Problems via
Vibrating Plates . . . . . . . . . . . . 573--596
Robert J. Vanderbei Local Warming . . . . . . . . . . . . . 597--606
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 609--623
Desmond J. Higham Survey and Review . . . . . . . . . . . 625--625
Martin J. Gander and
Gerhard Wanner From Euler, Ritz, and Galerkin to Modern
Computing . . . . . . . . . . . . . . . 627--666
Qiang Du and
Max Gunzburger and
R. B. Lehoucq and
Kun Zhou Analysis and Approximation of Nonlocal
Diffusion Problems with Volume
Constraints . . . . . . . . . . . . . . 667--696
Ray Tuminaro Research Spotlights . . . . . . . . . . 697--697
Guo-Wei Wei and
Qiong Zheng and
Zhan Chen and
Kelin Xia Variational Multiscale Models for Charge
Transport . . . . . . . . . . . . . . . 699--754
Anonymous SIGEST . . . . . . . . . . . . . . . . . 755--755
The Editors SIGEST . . . . . . . . . . . . . . . . . 755--755
L. Borcea and
F. González del Cueto and
G. Papanicolaou and
C. Tsogka Filtering Deterministic Layer Effects in
Imaging . . . . . . . . . . . . . . . . 757--798
Louis F. Rossi Education . . . . . . . . . . . . . . . 799--799
Jeffrey Humpherys and
Preston Redd and
Jeremy West A Fresh Look at the Kalman Filter . . . 801--823
Bob O'Malley Book Reviews . . . . . . . . . . . . . . 827--847
Desmond J. Higham Survey and Review . . . . . . . . . . . 1--1
Michele Benzi and
Paola Boito and
Nader Razouk Decay Properties of Spectral Projectors
with Applications to Electronic
Structure . . . . . . . . . . . . . . . 3--64
Ronny Luss and
Marc Teboulle Conditional Gradient Algorithms for
Rank-One Matrix Approximations with a
Sparsity Constraint . . . . . . . . . . 65--98
Ray Tuminaro Research Spotlights . . . . . . . . . . 99--99
Pedro Gonnet and
Stefan Güttel and
Lloyd N. Trefethen Robust Padé Approximation via SVD . . . . 101--117
Peter Grindrod and
Desmond J. Higham A Matrix Iteration for Dynamic Network
Summaries . . . . . . . . . . . . . . . 118--128
The Editors SIGEST . . . . . . . . . . . . . . . . . 129--129
Francisco-Javier Sayas The Validity of Johnson--Nédélec's
BEM--FEM Coupling on Polygonal
Interfaces . . . . . . . . . . . . . . . 131--146
Louis F. Rossi Education . . . . . . . . . . . . . . . 147--147
Moritz Allmaras and
Wolfgang Bangerth and
Jean Marie Linhart and
Javier Polanco and
Fang Wang and
Kainan Wang and
Jennifer Webster and
Sarah Zedler Estimating Parameters in Physical Models
through Bayesian Inversion: a Complete
Example . . . . . . . . . . . . . . . . 149--167
Rachael Gordon-Wright and
Pierre A. Gremaud Granular Free Surfaces . . . . . . . . . 168--184
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 187--202
Xiaobing Feng and
Roland Glowinski and
Michael Neilan Recent Developments in Numerical Methods
for Fully Nonlinear Second Order Partial
Differential Equations . . . . . . . . . 205--267
H. Owhadi and
C. Scovel and
T. J. Sullivan and
M. McKerns and
M. Ortiz Optimal Uncertainty Quantification . . . 271--345
Stefan M. Wild and
Christine Shoemaker Global Convergence of Radial Basis
Function Trust-Region Algorithms for
Derivative-Free Optimization . . . . . . 349--371
John P. Boyd Finding the Zeros of a Univariate
Equation: Proxy Rootfinders, Chebyshev
Interpolation, and the Companion Matrix 375--396
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 399--412
Desmond J. Higham Survey and Review . . . . . . . . . . . 413--413
Michele Pavon and
Augusto Ferrante On the Geometry of Maximum Entropy
Problems . . . . . . . . . . . . . . . . 415--439
Ray Tuminaro Research Spotlights . . . . . . . . . . 441--441
Qinghai Zhang On Donating Regions: Lagrangian Flux
through a Fixed Curve . . . . . . . . . 443--461
Sheehan Olver and
Alex Townsend A Fast and Well-Conditioned Spectral
Method . . . . . . . . . . . . . . . . . 462--489
The Editors SIGEST . . . . . . . . . . . . . . . . . 491--491
Chad Lieberman and
Karen Willcox Goal-Oriented Inference: Approach,
Linear Theory, and Application to
Advection Diffusion . . . . . . . . . . 493--519
Louis F. Rossi Education . . . . . . . . . . . . . . . 521--521
Joseph P. Previte and
Kathleen A. Hoffman Period Doubling Cascades in a
Predator-Prey Model with a Scavenger . . 523--546
Kurt Bryan and
Tanya Leise Making Do with Less: an Introduction to
Compressed Sensing . . . . . . . . . . . 547--566
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 569--597
Desmond J. Higham Survey and Review . . . . . . . . . . . 599--599
D. S. Grebenkov and
B.-T. Nguyen Geometrical Structure of Laplacian
Eigenfunctions . . . . . . . . . . . . . 601--667
Ray Tuminaro Research Spotlights . . . . . . . . . . 669--669
Caroline Uhler and
Stephen J. Wright Packing Ellipsoids with Overlap . . . . 671--706
The Editors SIGEST . . . . . . . . . . . . . . . . . 707--707
Andrew J. Bernoff and
Chad M. Topaz Nonlocal Aggregation Models: a Primer of
Swarm Equilibria . . . . . . . . . . . . 709--747
Louis F. Rossi Education . . . . . . . . . . . . . . . 749--750
Shlomo Engelberg and
Osnat Keren An Introduction to Robust Codes over
Finite Fields . . . . . . . . . . . . . 751--763
David A. Edwards and
Joseph D. Fehribach and
Richard O. Moore and
Colin J. McKinstrie An Application of Matrix Theory to the
Evolution of Coupled Modes . . . . . . . 764--787
Lloyd N. Trefethen Book Review: \booktitleVisual complex
functions: an introduction with phase
portraits, by Elias Wegert.
Birkhäuser/Springer Basel AG, Basel,
2012. \$59.95. xiv + 360 pp., softcover.
ISBN 978-3-0348-0179-9} . . . . . . . . 791--797
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 791--809
Desmond J. Higham Survey and Review . . . . . . . . . . . 1--1
Leo Liberti and
Carlile Lavor and
Nelson Maculan and
Antonio Mucherino Euclidean Distance Geometry and
Applications . . . . . . . . . . . . . . 3--69
Ray Tuminaro Research Spotlights . . . . . . . . . . 71--71
Richard Kollár and
Peter D. Miller Graphical Krein Signature Theory and
Evans--Krein Functions . . . . . . . . . 73--123
The Editors SIGEST . . . . . . . . . . . . . . . . . 125--125
Wenjing Zhang and
Lindi M. Wahl and
Pei Yu Viral Blips May Not Need a Trigger: How
Transient Viremia Can Arise in
Deterministic In-Host Models . . . . . . 127--155
Louis F. Rossi Education . . . . . . . . . . . . . . . 157--158
Bernard Deconinck and
Thomas Trogdon and
Vishal Vasan The Method of Fokas for Solving Linear
Partial Differential Equations . . . . . 159--186
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 189--209
Desmond J. Higham Survey and Review . . . . . . . . . . . 211--211
D. Holcman and
Z. Schuss The Narrow Escape Problem . . . . . . . 213--257
Stephen J. Wright Research Spotlights . . . . . . . . . . 259--259
Howard C. Elman and
Alison Ramage and
David J. Silvester IFISS: a Computational Laboratory for
Investigating Incompressible Flow
Problems . . . . . . . . . . . . . . . . 261--273
Andrea Moiola and
Euan A. Spence Is the Helmholtz Equation Really
Sign-Indefinite? . . . . . . . . . . . . 274--312
The Editors SIGEST . . . . . . . . . . . . . . . . . 313--313
Joshua Batson and
Daniel A. Spielman and
Nikhil Srivastava Twice-Ramanujan Sparsifiers . . . . . . 315--334
Louis F. Rossi Education . . . . . . . . . . . . . . . 335--335
Robert J. Vanderbei and
Gordon Scharf and
Daniel Marlow A Regression Approach to Fairer Grading 337--352
Antônio Francisco Neto and
Petrus H. R. dos Anjos Zeon Algebra and Combinatorial
Identities . . . . . . . . . . . . . . . 353--370
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 373--382
Desmond J. Higham Survey and Review . . . . . . . . . . . 383--383
Lloyd N. Trefethen and
J. A. C. Weideman The Exponentially Convergent Trapezoidal
Rule . . . . . . . . . . . . . . . . . . 385--458
Stephen J. Wright Research Spotlights . . . . . . . . . . 459--459
Daniel Bienstock and
Michael Chertkov and
Sean Harnett Chance-Constrained Optimal Power Flow:
Risk-Aware Network Control under
Uncertainty . . . . . . . . . . . . . . 461--495
The Editors SIGEST . . . . . . . . . . . . . . . . . 497--497
Ge Chen and
Zhixin Liu and
Lei Guo The Smallest Possible Interaction Radius
for Synchronization of Self-Propelled
Particles . . . . . . . . . . . . . . . 499--521
Louis F. Rossi Education . . . . . . . . . . . . . . . 523--523
Gilbert Strang and
Shev MacNamara Functions of Difference Matrices Are
Toeplitz Plus Hankel . . . . . . . . . . 525--546
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 549--574
Desmond J. Higham Survey and Review . . . . . . . . . . . 575--575
Sebastien Motsch and
Eitan Tadmor Heterophilious Dynamics Enhances
Consensus . . . . . . . . . . . . . . . 577--621
Evelyn Sander Research Spotlights . . . . . . . . . . 623--623
Travis Askham and
Leslie Greengard Norm-Preserving Discretization of
Integral Equations for Elliptic PDEs
with Internal Layers I: The
One-Dimensional Case . . . . . . . . . . 625--641
The Editors SIGEST . . . . . . . . . . . . . . . . . 643--643
Tomas Rokicki and
Herbert Kociemba and
Morley Davidson and
John Dethridge The Diameter of the Rubik's Cube Group
Is Twenty . . . . . . . . . . . . . . . 645--670
Louis F. Rossi Education . . . . . . . . . . . . . . . 671--672
Pedro Freitas Optimal Ball Placement in Rugby
Conversions . . . . . . . . . . . . . . 673--690
François Dubeau and
Calvin Gnang Fixed Point and Newton's Methods for
Solving a Nonlinear Equation: From
Linear to High-Order Convergence . . . . 691--708
Robert E. O'Malley, Jr. Book Reviews . . . . . . . . . . . . . . 711--726
Desmond J. Higham Survey and Review . . . . . . . . . . . 1--1
Juan Pablo Vielma Mixed Integer Linear Programming
Formulation Techniques . . . . . . . . . 3--57
Evelyn Sander Research Spotlights . . . . . . . . . . 59--59
Trifon I. Missov and
James W. Vaupel Mortality Implications of Mortality
Plateaus . . . . . . . . . . . . . . . . 61--70
Jennifer Pestana and
Andrew J. Wathen Natural Preconditioning and Iterative
Methods for Saddle Point Systems . . . . 71--91
The Editors SIGEST . . . . . . . . . . . . . . . . . 93--93
Sam Howison and
Daniel Schwarz Risk-Neutral Pricing of Financial
Instruments in Emission Markets: a
Structural Approach . . . . . . . . . . 95--127
Louis F. Rossi Education . . . . . . . . . . . . . . . 129--129
Oscar Aguilar and
Moritz Allmaras and
Wolfgang Bangerth and
Luis Tenorio Statistics of Parameter Estimates: a
Concrete Example . . . . . . . . . . . . 131--149
David S. Watkins Book Reviews . . . . . . . . . . . . . . 153--164
Desmond J. Higham Survey and Review . . . . . . . . . . . 165--165
Desmond J. Higham Survey and Review . . . . . . . . . . . 165--165
Lipeng Ning and
Tryphon T. Georgiou and
Allen Tannenbaum and
Stephen P. Boyd Linear Models Based on Noisy Data and
the Frisch Scheme . . . . . . . . . . . 167--197
Evelyn Sander Research Spotlights . . . . . . . . . . 199--199
Dan Wilson and
Jeff Moehlis Extending Phase Reduction to Excitable
Media: Theory and Applications . . . . . 201--222
The Editors SIGEST . . . . . . . . . . . . . . . . . 223--223
Emmanuel J. Cand\`es and
Yonina C. Eldar and
Thomas Strohmer and
Vladislav Voroninski Phase Retrieval via Matrix Completion 225--251
Louis F. Rossi Education . . . . . . . . . . . . . . . 253--254
Ferdinand Verhulst Profits and Pitfalls of Timescales in
Asymptotics . . . . . . . . . . . . . . 255--274
James Bisgard Mountain Passes and Saddle Points . . . 275--292
David S. Watkins Book Reviews . . . . . . . . . . . . . . 295--318
Desmond J. Higham Survey and Review . . . . . . . . . . . 319--319
David F. Gleich PageRank Beyond the Web . . . . . . . . 321--363
Evelyn Sander Research Spotlights . . . . . . . . . . 365--365
Peng Jia and
Anahita MirTabatabaei and
Noah E. Friedkin and
Francesco Bullo Opinion Dynamics and the Evolution of
Social Power in Influence Networks . . . 367--397
S. Jonathan Chapman and
David P. Hewett and
Lloyd N. Trefethen Mathematics of the Faraday Cage . . . . 398--417
The Editors SIGEST . . . . . . . . . . . . . . . . . 419--419
Alexander Plakhov Problems of Minimal Resistance and the
Kakeya Problem . . . . . . . . . . . . . 421--434
Louis F. Rossi Education . . . . . . . . . . . . . . . 435--436
R. A. Cropp and
J. Norbury Population Interactions in Ecology: a
Rule-Based Approach to Modeling
Ecosystems in a Mass-Conserving
Framework . . . . . . . . . . . . . . . 437--465
David S. Watkins Book Reviews . . . . . . . . . . . . . . 469--480
Lloyd N. Trefethen The Princeton companion to applied
mathematics [book review of MR3380576] 469--473
Desmond J. Higham Survey and Review . . . . . . . . . . . 481--481
Peter Benner and
Serkan Gugercin and
Karen Willcox A Survey of Projection-Based Model
Reduction Methods for Parametric
Dynamical Systems . . . . . . . . . . . 483--531
Evelyn Sander Research Spotlights . . . . . . . . . . 533--533
Peter R. Brune and
Matthew G. Knepley and
Barry F. Smith and
Xuemin Tu Composing Scalable Nonlinear Algebraic
Solvers . . . . . . . . . . . . . . . . 535--565
Houman Owhadi and
Clint Scovel and
Tim Sullivan On the Brittleness of Bayesian Inference 566--582
The Editors SIGEST . . . . . . . . . . . . . . . . . 583--583
David Bindel and
Amanda Hood Localization Theorems for Nonlinear
Eigenvalue Problems . . . . . . . . . . 585--607
Louis F. Rossi Education . . . . . . . . . . . . . . . 609--609
Anouck R. Girard and
Pierre T. Kabamba Proportional Navigation: Optimal Homing
and Optimal Evasion . . . . . . . . . . 611--624
David S. Watkins Book Reviews . . . . . . . . . . . . . . 627--643
Desmond J. Higham Survey and Review . . . . . . . . . . . 1--1
J. M. Sanz-Serna Symplectic Runge--Kutta Schemes for
Adjoint Equations, Automatic
Differentiation, Optimal Control, and
More . . . . . . . . . . . . . . . . . . 3--33
Lin Lin and
Yousef Saad and
Chao Yang Approximating Spectral Densities of
Large Matrices . . . . . . . . . . . . . 34--65
Evelyn Sander Research Spotlights . . . . . . . . . . 67--67
Alireza Hadjighasem and
George Haller Geodesic Transport Barriers in Jupiter's
Atmosphere: a Video-Based Analysis . . . 69--89
Vladimir Druskin and
Stefan Güttel and
Leonid Knizhnerman Near-Optimal Perfectly Matched Layers
for Indefinite Helmholtz Problems . . . 90--116
The Editors SIGEST . . . . . . . . . . . . . . . . . 117--117
M. Schick and
V. Heuveline and
O. P. Le Ma A Newton--Galerkin Method for Fluid Flow
Exhibiting Uncertain Periodic Dynamics 119--140
Louis F. Rossi Education . . . . . . . . . . . . . . . 141--141
Jan Friso Groote and
Freek Wiedijk and
Hans Zantema A Probabilistic Analysis of the Game of
the Goose . . . . . . . . . . . . . . . 143--155
David S. Watkins Book Reviews . . . . . . . . . . . . . . 159--173
Robert M. Corless Book review of: L. N. Trefethen,
\booktitleApproximation theory and
approximation practice . . . . . . . . . 159--163
Desmond J. Higham Survey and Review . . . . . . . . . . . 175--175
D. J. W. Simpson Border-Collision Bifurcations in $
\mathbb {R}^N $ . . . . . . . . . . . . 177--226
Evelyn Sander Research Spotlights . . . . . . . . . . 227--227
Miranda C. Holmes-Cerfon Enumerating Rigid Sphere Packings . . . 229--244
Nicholas J. Higham and
Nata\vsa Strabi\'c and
Vedran \vSego Restoring Definiteness via Shrinking,
with an Application to Correlation
Matrices with a Fixed Block . . . . . . 245--263
Alan Veliz-Cuba and
Zachary P. Kilpatrick and
Kresimir Josi\'c Stochastic Models of Evidence
Accumulation in Changing Environments 264--289
The Editors SIGEST . . . . . . . . . . . . . . . . . 290--290
Andrea L. Bertozzi and
Arjuna Flenner Diffuse Interface Models on Graphs for
Classification of High Dimensional Data 293--328
Louis F. Rossi Education . . . . . . . . . . . . . . . 329--329
D. Goulet Modeling, Simulating, and Parameter
Fitting of Biochemical Kinetic
Experiments . . . . . . . . . . . . . . 331--353
David S. Watkins Book Reviews . . . . . . . . . . . . . . 357--374
Desmond J. Higham Survey and Review . . . . . . . . . . . 375--375
V. Simoncini Computational Methods for Linear Matrix
Equations . . . . . . . . . . . . . . . 377--441
Evelyn Sander Research Spotlights . . . . . . . . . . 443--443
Tiziana Calamoneri and
Blerina Sinaimeri Pairwise Compatibility Graphs: a Survey 445--460
Yuji Nakatsukasa and
Roland W. Freund Computing Fundamental Matrix
Decompositions Accurately via the Matrix
Sign Function in Two Iterations: The
Power of Zolotarev's Functions . . . . . 461--493
Gary Froyland and
Cecilia González-Tokman and
Thomas M. Watson Optimal Mixing Enhancement by Local
Perturbation . . . . . . . . . . . . . . 494--513
The Editors SIGEST . . . . . . . . . . . . . . . . . 515--515
Guannan Zhang and
Clayton G. Webster and
Max Gunzburger and
John Burkardt Hyperspherical Sparse Approximation
Techniques for High-Dimensional
Discontinuity Detection . . . . . . . . 517--551
Louis F. Rossi Education . . . . . . . . . . . . . . . 553--554
John Zweck Analysis of Methods Used to Reconstruct
the Flight Path of Malaysia Airlines
Flight 370 . . . . . . . . . . . . . . . 555--574
David S. Watkins Book Reviews . . . . . . . . . . . . . . 577--599
Desmond J. Higham Survey and Review . . . . . . . . . . . 601--601
Krzysztof Postek and
Dick den Hertog and
Bertrand Melenberg Computationally Tractable Counterparts
of Distributionally Robust Constraints
on Risk Measures . . . . . . . . . . . . 603--650
Evelyn Sander Research Spotlights . . . . . . . . . . 651--651
Mathieu Desroches and
Antoni Guillamon and
Enrique Ponce and
Rafael Prohens and
Serafim Rodrigues and
Antonio E. Teruel Canards, Folded Nodes, and Mixed-Mode
Oscillations in Piecewise-Linear
Slow-Fast Systems . . . . . . . . . . . 653--691
Ernesto Estrada and
Naomichi Hatano Communicability Angle and the Spatial
Efficiency of Networks . . . . . . . . . 692--715
Jeffrey West and
Zaki Hasnain and
Paul Macklin and
Paul K. Newton An Evolutionary Model of Tumor Cell
Kinetics and the Emergence of Molecular
Heterogeneity Driving Gompertzian Growth 716--736
The Editors SIGEST . . . . . . . . . . . . . . . . . 737--737
Olivier Fercoq and
Peter Richtárik Optimization in High Dimensions via
Accelerated, Parallel, and Proximal
Coordinate Descent . . . . . . . . . . . 739--771
Louis F. Rossi Education . . . . . . . . . . . . . . . 773--773
Robert M. Corless and
Julia E. Jankowski Variations on a Theme of Euler . . . . . 775--792
David S. Watkins Book Reviews . . . . . . . . . . . . . . 795--807
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 1--1
G. A. El and
M. A. Hoefer and
M. Shearer Dispersive and Diffusive--Dispersive
Shock Waves for Nonconvex Conservation
Laws . . . . . . . . . . . . . . . . . . 3--61
Evelyn Sander Research Spotlights . . . . . . . . . . 63--63
Jeff Bezanson and
Alan Edelman and
Stefan Karpinski and
Viral B. Shah Julia: a Fresh Approach to Numerical
Computing . . . . . . . . . . . . . . . 65--98
Houman Owhadi Multigrid with Rough Coefficients and
Multiresolution Operator Decomposition
from Hierarchical Information Games . . 99--149
The Editors SIGEST . . . . . . . . . . . . . . . . . 151--151
L. Métivier and
R. Brossier and
S. Operto and
J. Virieux Full Waveform Inversion and the
Truncated Newton Method . . . . . . . . 153--195
Darinka Dentcheva Education . . . . . . . . . . . . . . . 197--197
Rachel Levy and
Edmond Chow and
Byong Kwon and
Katherine Socha and
Maeve McCarthy and
Peter R. Turner SIAM Education Subcommittee Report on
Undergraduate Degree Programs in Applied
Mathematics . . . . . . . . . . . . . . 199--204
David S. Watkins Book Reviews . . . . . . . . . . . . . . 207--222
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 223--223
Albert Granados and
Lluís Alsed\`a and
Maciej Krupa The Period Adding and Incrementing
Bifurcations: From Rotation Theory to
Applications . . . . . . . . . . . . . . 225--292
Evelyn Sander Research Spotlights . . . . . . . . . . 293--293
Iain Dunning and
Joey Huchette and
Miles Lubin JuMP: a Modeling Language for
Mathematical Optimization . . . . . . . 295--320
Austin R. Benson and
David F. Gleich and
Lek-Heng Lim The Spacey Random Walk: a Stochastic
Process for Higher-Order Data . . . . . 321--345
Lori Ziegelmeier and
Michael Kirby and
Chris Peterson Stratifying High-Dimensional Data Based
on Proximity to the Convex Hull Boundary 346--365
The Editors SIGEST . . . . . . . . . . . . . . . . . 367--367
Richard Moeckel The Foucault Pendulum (with a Twist) . . 369--389
Darinka Dentcheva Education . . . . . . . . . . . . . . . 391--392
Christof Vömel and
Flavio de Lorenzi and
Samuel Beer and
Erwin Fuchs The Secret Life of Keys: On the
Calculation of Mechanical Lock Systems 393--422
Jared L. Aurentz and
Lloyd N. Trefethen Block Operators and Spectral
Discretizations . . . . . . . . . . . . 423--446
David S. Watkins Book Reviews . . . . . . . . . . . . . . 449--465
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 467--467
Lloyd N. Trefethen Cubature, Approximation, and Isotropy in
the Hypercube . . . . . . . . . . . . . 469--491
Volker John and
Alexander Linke and
Christian Merdon and
Michael Neilan and
Leo G. Rebholz On the Divergence Constraint in Mixed
Finite Element Methods for
Incompressible Flows . . . . . . . . . . 492--544
Evelyn Sander Research Spotlights . . . . . . . . . . 545--545
Lek-Heng Lim and
Jonathan Weare Fast Randomized Iteration: Diffusion
Monte Carlo through the Lens of
Numerical Linear Algebra . . . . . . . . 547--587
Patrick Chan and
Ronnie Sircar Fracking, Renewables, and Mean Field
Games . . . . . . . . . . . . . . . . . 588--615
The Editors SIGEST . . . . . . . . . . . . . . . . . 617--617
Puck Rombach and
Mason A. Porter and
James H. Fowler and
Peter J. Mucha Core-Periphery Structure in Networks
(Revisited) . . . . . . . . . . . . . . 619--646
Darinka Dentcheva Education . . . . . . . . . . . . . . . 647--648
Janusz Mierczy\'nski Instability in Linear Cooperative
Systems of Ordinary Differential
Equations . . . . . . . . . . . . . . . 649--670
Shlomo Engelberg Elementary Number Theory and Rader's FFT 671--678
David S. Watkins Book Reviews . . . . . . . . . . . . . . 681--699
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 701--701
Barbora Benesová and
Martin Kruzík Weak Lower Semicontinuity of Integral
Functionals and Applications . . . . . . 703--766
Evelyn Sander Research Spotlights . . . . . . . . . . 767--767
Michael Unser and
Julien Fageot and
John Paul Ward Splines Are Universal Solutions of
Linear Inverse Problems with Generalized
TV Regularization . . . . . . . . . . . 769--793
Yaroslav Shitov The Nonnegative Rank of a Matrix: Hard
Problems, Easy Solutions . . . . . . . . 794--800
The Editors SIGEST . . . . . . . . . . . . . . . . . 801--801
Mark Braverman Interactive Information Complexity . . . 803--846
Darinka Dentcheva Education . . . . . . . . . . . . . . . 847--847
Matthew Kelly An Introduction to Trajectory
Optimization: How to Do Your Own Direct
Collocation . . . . . . . . . . . . . . 849--904
H. Ockendon and
J. R. Ockendon How to Mitigate Sloshing . . . . . . . . 905--911
David S. Watkins Book Reviews . . . . . . . . . . . . . . 915--928
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 1--1
Richard A. Tapia and
J. E. Dennis, Jr. and
Jan P. Schäfermeyer Inverse, Shifted Inverse, and Rayleigh
Quotient Iteration as Newton's Method 3--55
Andreas Bartel and
Michael Günther PDAEs in Refined Electrical Network
Modeling . . . . . . . . . . . . . . . . 56--91
Misha E. Kilmer Research Spotlights . . . . . . . . . . 93--93
Naoki Masuda and
Luis E. C. Rocha A Gillespie Algorithm for Non-Markovian
Stochastic Processes . . . . . . . . . . 95--115
Mike R. Jeffrey The Ghosts of Departed Quantities in
Switches and Transitions . . . . . . . . 116--136
The Editors SIGEST . . . . . . . . . . . . . . . . . 137--137
Haisen Zhang and
Xu Zhang Second-Order Necessary Conditions for
Stochastic Optimal Control Problems . . 139--178
Darinka Dentcheva Education . . . . . . . . . . . . . . . 179--180
Steven J. Brams and
Mehmet S. Ismail Making the Rules of Sports Fairer . . . 181--202
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 205--220
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 221--221
Léon Bottou and
Frank E. Curtis and
Jorge Nocedal Optimization Methods for Large-Scale
Machine Learning . . . . . . . . . . . . 223--311
Misha E. Kilmer Research Spotlights . . . . . . . . . . 313--313
Bailey K. Fosdick and
Daniel B. Larremore and
Joel Nishimura and
Johan Ugander Configuring Random Graph Models with
Fixed Degree Sequences . . . . . . . . . 315--355
Sanghyeon Yu and
Habib Ammari Plasmonic Interaction between
Nanospheres . . . . . . . . . . . . . . 356--385
Nawaf Bou-Rabee SPECTRWM: Spectral Random Walk Method
for the Numerical Solution of Stochastic
Partial Differential Equations . . . . . 386--406
Anonymous SIGEST . . . . . . . . . . . . . . . . . 407--407
Zhihan Gao On the Metric $s$--$t$ Path Traveling
Salesman Problem . . . . . . . . . . . . 409--426
Darinka Dentcheva Education . . . . . . . . . . . . . . . 427--428
D. Calvetti and
F. Pitolli and
E. Somersalo and
B. Vantaggi Bayes Meets Krylov: Statistically
Inspired Preconditioners for CGLS . . . 429--461
Volker Schulz Book Reviews . . . . . . . . . . . . . . 465--487
Joseph F. Grcar Book Review: \booktitleENIAC in Action:
Making and Remaking the Modern Computer,
by Thomas Haigh, Mark Priestly, and
Crispin Rope . . . . . . . . . . . . . . 465--470
Jared L. Aurentz Book Review: \booktitleExploiting Hidden
Structures in Matrix Computations:
Algorithms and Applications, edited by
Michele Benzi and Valeria Simoncini . . 470--471
Margaret Cheney Book Review: \booktitleTransionospheric
Synthetic Aperture Imaging, by Mikhail
Gilman, Erick Smith, and Semyon Tsynkov 471--473
Chad Giusti Book Review: \booktitleNiche Hierarchy:
Structure, Organization and Assembly in
Natural Systems, by George Sugihara . . 473--475
Yury Grabovsky Book Review: \booktitleExtending the
Theory of Composites to Other Areas of
Science, edited and authored by Graeme
W. Milton . . . . . . . . . . . . . . . 475--481
K. J. H. Law Book Review: \booktitleData
Assimilation: Methods, Algorithms, and
Applications, by Mark Asch, Marc
Bocquet, and Maëlle Nodet . . . . . . . . 481--483
Dirk M. Luchtenburg Book Review: \booktitleDynamic Mode
Decomposition: Data-Driven Modeling of
Complex Systems, by J. Nathan Kutz,
Steven L. Brunton, Bingni W. Brunton,
and Joshua L. Proctor . . . . . . . . . 483--483
Dominique Orban Book Review: \booktitleIntroduction to
Computation and Programming Using
Python. Second Edition, with Application
to Understanding Data, by John V. Guttag 483--485
Berkant Savas Book Review: \booktitleComputational and
Statistical Methods for Analysing Big
Data with Applications, by Shen Liu,
James McGree, Zongyuan Ge, and Yang Xie 485--487
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 489--489
Andrew J. Majda and
Di Qi Strategies for Reduced-Order Models for
Predicting the Statistical Responses and
Uncertainty Quantification in Complex
Turbulent Dynamical Systems . . . . . . 491--549
Benjamin Peherstorfer and
Karen Willcox and
Max Gunzburger Survey of Multifidelity Methods in
Uncertainty Propagation, Inference, and
Optimization . . . . . . . . . . . . . . 550--591
Misha E. Kilmer Research Spotlights . . . . . . . . . . 593--593
Florian Feppon and
Pierre F. J. Lermusiaux Dynamically Orthogonal Numerical Schemes
for Efficient Stochastic Advection and
Lagrangian Transport . . . . . . . . . . 595--625
Theodore Kolokolnikov and
Juncheng Wei Pattern Formation in a
Reaction-Diffusion System with
Space-Dependent Feed Rate . . . . . . . 626--645
Claude Brezinski and
Michela Redivo-Zaglia and
Yousef Saad Shanks Sequence Transformations and
Anderson Acceleration . . . . . . . . . 646--669
The Editors SIGEST . . . . . . . . . . . . . . . . . 671--671
Álvaro Cartea and
Sebastian Jaimungal and
Jason Ricci Algorithmic Trading, Stochastic Control,
and Mutually Exciting Processes . . . . 673--703
Darinka Dentcheva Education . . . . . . . . . . . . . . . 705--706
Ulrich Rüde and
Karen Willcox and
Lois Curfman McInnes and
Hans De Sterck Research and Education in Computational
Science and Engineering . . . . . . . . 707--754
Volker Schulz Book Reviews . . . . . . . . . . . . . . 757--776
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 777--777
David Colton and
Rainer Kress Looking Back on Inverse Scattering
Theory . . . . . . . . . . . . . . . . . 779--807
Jack Dongarra and
Mark Gates and
Azzam Haidar and
Jakub Kurzak and
Piotr Luszczek and
Stanimire Tomov and
Ichitaro Yamazaki The singular value decomposition:
anatomy of optimizing an algorithm for
extreme scale . . . . . . . . . . . . . 808--865
Misha E. Kilmer Research Spotlights . . . . . . . . . . 867--868
Daniel Getty and
Hao Li and
Masayuki Yano and
Charles Gao and
A. E. Hosoi Luck and the Law: Quantifying Chance in
Fantasy Sports and Other Contests . . . 869--887
Gino Biondini and
Sitai Li and
Dionyssios Mantzavinos and
Stefano Trillo Universal Behavior of Modulationally
Unstable Media . . . . . . . . . . . . . 888--908
Aaron R. Dinner and
Jonathan C. Mattingly and
Jeremy O. B. Tempkin and
Brian Van Koten and
Jonathan Weare Trajectory Stratification of Stochastic
Dynamics . . . . . . . . . . . . . . . . 909--938
The Editors SIGEST . . . . . . . . . . . . . . . . . 939--939
Marco Cuturi and
Gabriel Peyré Semidual Regularized Optimal Transport 941--965
Darinka Dentcheva Education . . . . . . . . . . . . . . . 967--967
Eric Forgoston and
Richard O. Moore A Primer on Noise-Induced Transitions in
Applied Dynamical Systems . . . . . . . 969--1009
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 1013--1027
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 1--1
Martin J. Gander and
Hui Zhang A Class of Iterative Solvers for the
Helmholtz Equation: Factorizations,
Sweeping Preconditioners, Source
Transfer, Single Layer Potentials,
Polarized Traces, and Optimized Schwarz
Methods . . . . . . . . . . . . . . . . 3--76
Misha E. Kilmer Research Spotlights . . . . . . . . . . 77--77
Simone Carlo Surace and
Anna Kutschireiter and
Jean-Pascal Pfister How to Avoid the Curse of
Dimensionality: Scalability of Particle
Filters with and without Importance
Weights . . . . . . . . . . . . . . . . 79--91
Peter G. Fennell and
James P. Gleeson Multistate Dynamical Processes on
Networks: Analysis through Degree-Based
Approximation Frameworks . . . . . . . . 92--118
The Editors SIGEST . . . . . . . . . . . . . . . . . 119--119
Eddie Nijholt and
Bob Rink and
Jan Sanders Center Manifolds of Coupled Cell
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Darinka Dentcheva Education . . . . . . . . . . . . . . . 157--158
Gjerrit Meinsma Dimensional and Scaling Analysis . . . . 159--184
Silviu Filip and
Aurya Javeed and
Lloyd N. Trefethen Smooth Random Functions, Random ODEs,
and Gaussian Processes . . . . . . . . . 185--205
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 209--225
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 227--227
Guodong Shi and
Claudio Altafini and
John S. Baras Dynamics over Signed Networks . . . . . 229--257
Misha E. Kilmer Research Spotlights . . . . . . . . . . 259--259
Beate Ehrhardt and
Patrick J. Wolfe Network Modularity in the Presence of
Covariates . . . . . . . . . . . . . . . 261--276
Dan Wilson and
Bard Ermentrout Augmented Phase Reduction of (Not So)
Weakly Perturbed Coupled Oscillators . . 277--315
The Editors SIGEST . . . . . . . . . . . . . . . . . 317--317
Bernhard Beckermann and
Alex Townsend Bounds on the Singular Values of
Matrices with Displacement Structure . . 319--344
Darinka Dentcheva Education . . . . . . . . . . . . . . . 345--346
Samuel Awoniyi and
Ira Wheaton Case for First Courses on Finite Markov
Chain Modeling to Include Sojourn Time
Cycle Chart . . . . . . . . . . . . . . 347--360
Richard D. Neidinger Multivariate Polynomial Interpolation in
Newton Forms . . . . . . . . . . . . . . 361--381
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 385--400
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 401--401
Johan S. H. van Leeuwaarden and
Britt W. J. Mathijsen and
Bert Zwart Economies-of-Scale in Many-Server
Queueing Systems: Tutorial and Partial
Review of the QED Halfin--Whitt
Heavy-Traffic Regime . . . . . . . . . . 403--440
Misha E. Kilmer Research Spotlights . . . . . . . . . . 441--441
Ben Adcock and
Daan Huybrechs Frames and Numerical Approximation . . . 443--473
Jie Shen and
Jie Xu and
Jiang Yang A New Class of Efficient and Robust
Energy Stable Schemes for Gradient Flows 474--506
The Editors SIGEST . . . . . . . . . . . . . . . . . 507--507
T. J. Dodwell and
C. Ketelsen and
R. Scheichl and
A. L. Teckentrup Multilevel Markov Chain Monte Carlo . . 509--545
Darinka Dentcheva Education . . . . . . . . . . . . . . . 547--548
Arjun S. Ramani and
Nicole Eikmeier and
David F. Gleich Coin-Flipping, Ball-Dropping, and
Grass-Hopping for Generating Random
Graphs from Matrices of Edge
Probabilities . . . . . . . . . . . . . 549--595
Roger Cropp and
John Norbury Obligate Mutualism in a Resource-Based
Framework . . . . . . . . . . . . . . . 596--622
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 625--640
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 641--641
Olga Y. Kushel Unifying Matrix Stability Concepts with
a View to Applications . . . . . . . . . 643--729
Misha E. Kilmer Research Spotlights . . . . . . . . . . 731--731
Leslie Greengard and
Shidong Jiang A New Mixed Potential Representation for
Unsteady, Incompressible Flow . . . . . 733--755
Jon Cockayne and
Chris J. Oates and
T. J. Sullivan and
Mark Girolami Bayesian Probabilistic Numerical Methods 756--789
The Editors SIGEST . . . . . . . . . . . . . . . . . 791--791
Guo Luo and
Thomas Y. Hou Formation of Finite-Time Singularities
in the $3$D Axisymmetric Euler
Equations: a Numerics Guided Study . . . 793--835
Darinka Dentcheva Education . . . . . . . . . . . . . . . 837--838
Gábor Pataki Characterizing Bad Semidefinite
Programs: Normal Forms and Short Proofs 839--859
Catherine F. Higham and
Desmond J. Higham Deep Learning: an Introduction for
Applied Mathematicians . . . . . . . . . 860--891
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 895--906
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 1--1
Bernard Brogliato and
Aneel Tanwani Dynamical Systems Coupled with Monotone
Set-Valued Operators: Formalisms,
Applications, Well-Posedness, and
Stability . . . . . . . . . . . . . . . 3--129
Misha E. Kilmer Research Spotlights . . . . . . . . . . 131--131
David Hong and
Tamara G. Kolda and
Jed A. Duersch Generalized Canonical Polyadic Tensor
Decomposition . . . . . . . . . . . . . 133--163
Nawaf Bou-Rabee and
Miranda C. Holmes-Cerfon Sticky Brownian Motion and Its Numerical
Solution . . . . . . . . . . . . . . . . 164--195
The Editors SIGEST . . . . . . . . . . . . . . . . . 197--197
Xiaochuan Tian and
Qiang Du Asymptotically Compatible Schemes for
Robust Discretization of Parametrized
Problems with Applications to Nonlocal
Models . . . . . . . . . . . . . . . . . 199--227
Darinka Dentcheva Education . . . . . . . . . . . . . . . 229--230
Robert M. Corless and
Leili Rafiee Sevyeri The Runge Example for Interpolation and
Wilkinson's Examples for Rootfinding . . 231--243
Tracy L. Stepien and
Eric J. Kostelich and
Yang Kuang Mathematics + Cancer: an Undergraduate
``Bridge'' Course in Applied Mathematics 244--263
Antônio Francisco Neto Matrix Analysis and Omega Calculus . . . 264--280
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 283--297
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 299--299
Philipp Grohs and
Sarah Koppensteiner and
Martin Rathmair Phase Retrieval: Uniqueness and
Stability . . . . . . . . . . . . . . . 301--350
Misha E. Kilmer Research Spotlights . . . . . . . . . . 351--351
Michael T. Schaub and
Austin R. Benson and
Paul Horn and
Gabor Lippner and
Ali Jadbabaie Random Walks on Simplicial Complexes and
the Normalized Hodge $1$-Laplacian . . . 353--391
The Editors SIGEST . . . . . . . . . . . . . . . . . 393--393
Yair Carmon and
John C. Duchi First-Order Methods for Nonconvex
Quadratic Minimization . . . . . . . . . 395--436
Darinka Dentcheva Education . . . . . . . . . . . . . . . 437--438
Lloyd N. Trefethen Eight Perspectives on the Exponentially
Ill-Conditioned Equation $ \varepsilon
y'' - x y' + y = 0 $ . . . . . . . . . . 439--462
Anne Greenbaum and
Ren-Cang Li and
Michael L. Overton First-Order Perturbation Theory for
Eigenvalues and Eigenvectors . . . . . . 463--482
Ling Guo and
Akil Narayan and
Tao Zhou Constructing Least-Squares Polynomial
Approximations . . . . . . . . . . . . . 483--508
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 511--526
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 527--527
Andrii Mironchenko and
Christophe Prieur Input-to-State Stability of
Infinite-Dimensional Systems: Recent
Results and Open Questions . . . . . . . 529--614
Misha E. Kilmer Research Spotlights . . . . . . . . . . 615--615
Ernesto Estrada and
Gissell Estrada-Rodriguez and
Heiko Gimperlein Metaplex Networks: Influence of the
Exo--Endo Structure of Complex Systems
on Diffusion . . . . . . . . . . . . . . 617--645
Vicky Chuqiao Yang and
Daniel M. Abrams and
Georgia Kernell and
Adilson E. Motter Why Are U.S. Parties So Polarized? A
``Satisficing'' Dynamical Model . . . . 646--657
The Editors SIGEST . . . . . . . . . . . . . . . . . 659--659
Jed A. Duersch and
Ming Gu Randomized Projection for Rank-Revealing
Matrix Factorizations and Low-Rank
Approximations . . . . . . . . . . . . . 661--682
Darinka Dentcheva Education . . . . . . . . . . . . . . . 683--683
Lek-Heng Lim Hodge Laplacians on Graphs . . . . . . . 685--715
Patrick De Leenheer An Elementary Proof of a Matrix Tree
Theorem for Directed Graphs . . . . . . 716--726
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 729--739
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 741--741
Caleb Ju and
Edgar Solomonik Derivation and Analysis of Fast Bilinear
Algorithms for Convolution . . . . . . . 743--777
Misha E. Kilmer Research Spotlights . . . . . . . . . . 779--780
Sanjeeva Balasuriya Stochastic Sensitivity: a Computable
Lagrangian Uncertainty Measure for
Unsteady Flows . . . . . . . . . . . . . 781--816
Yuanzhao Zhang and
Adilson E. Motter Symmetry-Independent Stability Analysis
of Synchronization Patterns . . . . . . 817--836
Alexandria Volkening and
Daniel F. Linder and
Mason A. Porter and
Grzegorz A. Rempala Forecasting Elections Using
Compartmental Models of Infection . . . 837--865
The Editors SIGEST . . . . . . . . . . . . . . . . . 867--867
Elena Bossolini and
Morten Bròns and
Kristian Uldall Kristiansen A Stiction Oscillator with Canards: On
Piecewise Smooth Nonuniqueness and Its
Resolution by Regularization Using
Geometric Singular Perturbation Theory 869--897
Darinka Dentcheva Education . . . . . . . . . . . . . . . 899--900
Xiaocheng Shang and
Martin Kröger Time Correlation Functions of
Equilibrium and Nonequilibrium Langevin
Dynamics: Derivations and Numerics Using
Random Numbers . . . . . . . . . . . . . 901--935
Giacomo Nannicini An Introduction to Quantum Computing,
without the Physics . . . . . . . . . . 936--981
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 985--994
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 1--1
Juan Kuntz and
Philipp Thomas and
Guy-Bart Stan and
Mauricio Barahona Stationary Distributions of
Continuous-Time Markov Chains: a Review
of Theory and Truncation-Based
Approximations . . . . . . . . . . . . . 3--64
Misha E. Kilmer Research Spotlights . . . . . . . . . . 65--65
Michelle Feng and
Mason A. Porter Persistent Homology of Geospatial Data:
a Case Study with Voting . . . . . . . . 67--99
Nour Riman and
Jonathan D. Victor and
Sebastian D. Boie and
Bard Ermentrout The Dynamics of Bilateral Olfactory
Search and Navigation . . . . . . . . . 100--120
The Editors SIGEST . . . . . . . . . . . . . . . . . 121--121
Xavier Allamigeon and
Pascal Benchimol and
Stéphane Gaubert and
Michael Joswig What Tropical Geometry Tells Us about
the Complexity of Linear Programming . . 123--164
Darinka Dentcheva Education . . . . . . . . . . . . . . . 165--166
Bengt Fornberg Improving the Accuracy of the
Trapezoidal Rule . . . . . . . . . . . . 167--180
Nicholas A. Battista Fluid-Structure Interaction for the
Classroom: Interpolation, Hearts, and
Swimming! . . . . . . . . . . . . . . . 181--207
Lu Lu and
Xuhui Meng and
Zhiping Mao and
George Em Karniadakis DeepXDE: a Deep Learning Library for
Solving Differential Equations . . . . . 208--228
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 231--245
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 247--247
Yongxin Chen and
Tryphon T. Georgiou and
Michele Pavon Stochastic Control Liaisons: Richard
Sinkhorn Meets Gaspard Monge on a
Schrödinger Bridge . . . . . . . . . . . 249--313
Misha E. Kilmer Research Spotlights . . . . . . . . . . 315--315
Qiang Du and
Lili Ju and
Xiao Li and
Zhonghua Qiao Maximum Bound Principles for a Class of
Semilinear Parabolic Equations and
Exponential Time-Differencing Schemes 317--359
Art B. Owen and
Daniel Rudolf A Strong Law of Large Numbers for
Scrambled Net Integration . . . . . . . 360--372
The Editors SIGEST . . . . . . . . . . . . . . . . . 373--373
Christopher N. Angstmann and
Austen M. Erickson and
Bruce I. Henry and
Anna V. McGann and
John M. Murray and
James A. Nichols A General Framework for Fractional Order
Compartment Models . . . . . . . . . . . 375--392
Darinka Dentcheva Education . . . . . . . . . . . . . . . 393--393
Milton F. Maritz Rotations in Three Dimensions . . . . . 395--404
Pablo D. Brubeck and
Yuji Nakatsukasa and
Lloyd N. Trefethen Vandermonde with Arnoldi . . . . . . . . 405--415
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 419--431
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 433--433
Leo Torres and
Ann S. Blevins and
Danielle Bassett and
Tina Eliassi-Rad The Why, How, and When of
Representations for Complex Systems . . 435--485
Misha E. Kilmer Research Spotlights . . . . . . . . . . 487--487
Matthew Colbrook and
Andrew Horning and
Alex Townsend Computing Spectral Measures of
Self-Adjoint Operators . . . . . . . . . 489--524
Sarafa A. Iyaniwura and
Tony Wong and
Colin B. Macdonald and
Michael J. Ward Optimization of the Mean First Passage
Time in Near-Disk and Elliptical Domains
in $2$-D with Small Absorbing Traps . . 525--555
The Editors SIGEST . . . . . . . . . . . . . . . . . 557--557
R. Ryan Williams From Circuit Complexity to Faster
All-Pairs Shortest Paths . . . . . . . . 559--582
Darinka Dentcheva Education . . . . . . . . . . . . . . . 583--583
Emil Catinas How Many Steps Still Left to $x$ *? . . 585--624
Shreya Menon and
John W. Cain Approaches toward Understanding
Delay-Induced Stability and Instability 625--637
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 641--650
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 651--651
Chris Brimacombe and
Robert M. Corless and
Mair Zamir Computation and Applications of Mathieu
Functions: a Historical Perspective . . 653--720
Misha E. Kilmer Research Spotlights . . . . . . . . . . 721--721
Gianmarco Mengaldo and
David Moxey and
Michael Turner and
Rodrigo Costa Moura and
Ayad Jassim and
Mark Taylor and
Joaquim Peiró and
Spencer Sherwin Industry-Relevant Implicit Large-Eddy
Simulation of a High-Performance Road
Car via Spectral/$ h p $ Element Methods 723--755
Arthur E. P. Veldman Supraconservative Finite-Volume Methods
for the Euler Equations of Subsonic
Compressible Flow . . . . . . . . . . . 756--779
The Editors SIGEST . . . . . . . . . . . . . . . . . 781--781
Christian Clason and
Carla Tameling and
Benedikt Wirth Convex Relaxation of Discrete
Vector-Valued Optimization Problems . . 783--821
Darinka Dentcheva Education . . . . . . . . . . . . . . . 823--823
Mengjia Xu Understanding Graph Embedding Methods
and Their Applications . . . . . . . . . 825--853
Raymond Boute A Precise and Reliable Multivariable
Chain Rule . . . . . . . . . . . . . . . 854--864
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 867--875
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 1--1
Maxime Vono and
Nicolas Dobigeon and
Pierre Chainais High-Dimensional Gaussian Sampling: A
Review and a Unifying Approach Based on
a Stochastic Proximal Point Algorithm 3--56
Misha E. Kilmer Research Spotlights . . . . . . . . . . 57--58
Saber Jafarpour and
Elizabeth Y. Huang and
Kevin D. Smith and
Francesco Bullo Flow and Elastic Networks on the
$n$-Torus: Geometry, Analysis, and
Computation . . . . . . . . . . . . . . 59--104
Alex H. Barnett How Exponentially Ill-Conditioned Are
Contiguous Submatrices of the Fourier
Matrix? . . . . . . . . . . . . . . . . 105--131
Lloyd N. Trefethen Exactness of Quadrature Formulas . . . . 132--150
The Editors SIGEST . . . . . . . . . . . . . . . . . 151--151
George C. Linderman and
Stefan Steinerberger Dimensionality Reduction via Dynamical
Systems: The Case of $t$-SNE . . . . . . 153--178
Darinka Dentcheva Education . . . . . . . . . . . . . . . 179--179
Gilbert Strang and
Cleve Moler LU and CR Elimination . . . . . . . . . 181--190
C. T. Kelley Newton's Method in Mixed Precision . . . 191--211
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 215--225
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 227--227
Steven L. Brunton and
Marko Budisi\'c and
Eurika Kaiser and
J. Nathan Kutz Modern Koopman Theory for Dynamical
Systems . . . . . . . . . . . . . . . . 229--340
Misha E. Kilmer Research Spotlights . . . . . . . . . . 341--342
Karel Devriendt and
Samuel Martin-Gutierrez and
Renaud Lambiotte Variance and Covariance of Distributions
on Graphs . . . . . . . . . . . . . . . 343--359
Alexander Strang and
Karen C. Abbott and
Peter J. Thomas The Network HHD: Quantifying Cyclic
Competition in Trait-Performance Models
of Tournaments . . . . . . . . . . . . . 360--391
Roland Glowinski and
Yongcun Song and
Xiaoming Yuan and
Hangrui Yue Bilinear Optimal Control of an
Advection--Reaction--Diffusion System 392--421
The Editors SIGEST . . . . . . . . . . . . . . . . . 423--423
Frantisek Kardos Hamiltonicity of Cubic Planar Graphs
with Bounded Face Sizes . . . . . . . . 425--465
Darinka Dentcheva Education . . . . . . . . . . . . . . . 467--467
Axel Kittenberger and
Leonidas Mindrinos and
Otmar Scherzer Computed Origami Tomography . . . . . . 469--484
Bernardo Gouveia and
Howard A. Stone Generating Resonant and Repeated Root
Solutions to Ordinary Differential
Equations Using Perturbation Methods . . 485--499
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 503--513
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 515--515
Qinmeng Zou and
Frédéric Magoul\`es Delayed Gradient Methods for Symmetric
and Positive Definite Linear Systems . . 517--553
Mark Van der Boor and
Sem C. Borst and
Johan S. H. Van Leeuwaarden and
Debankur Mukherjee Scalable Load Balancing in Networked
Systems: a Survey of Recent Advances . . 554--622
Misha E. Kilmer Research Spotlights . . . . . . . . . . 623--624
Joseph D. Johnson and
Adam M. Redlich and
Daniel M. Abrams A Mathematical Model for the Origin of
Name Brands and Generics . . . . . . . . 625--639
Andy Wathen Some Comments on Preconditioning for
Normal Equations and Least Squares . . . 640--649
Nate Veldt and
Austin R. Benson and
Jon Kleinberg Hypergraph Cuts with General Splitting
Functions . . . . . . . . . . . . . . . 650--685
The Editors SIGEST . . . . . . . . . . . . . . . . . 687--687
Paolo Guasoni and
Yu-Jui Huang Minimizing the Repayment Cost of Federal
Student Loans . . . . . . . . . . . . . 689--709
Darinka Dentcheva Education . . . . . . . . . . . . . . . 711--712
Manlio Gaudioso and
Jean-Baptiste Hiriart-Urruty Deforming $ ||.||_1 $ into $
||.||_\infty $ via Polyhedral Norms: a
Pedestrian Approach . . . . . . . . . . 713--727
Demi L. Gandy and
Martin R. Nelson Analyzing Pattern Formation in the
Gray--Scott Model: an XPPAUT Tutorial 728--747
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 751--759
J. M. Sanz-Serna Survey and Review . . . . . . . . . . . 761--761
Laetitia Gauvin and
Mathieu Génois and
Márton Karsai and
Mikko Kivelä and
Taro Takaguchi and
Eugenio Valdano and
Christian L. Vestergaard Randomized Reference Models for Temporal
Networks . . . . . . . . . . . . . . . . 763--830
Leandro Farina and
Guillaume Lang and
P. A. Martin Love--Lieb Integral Equations:
Applications, Theory, Approximations,
and Computations . . . . . . . . . . . . 831--865
Hamza Fawzi and
Joao Gouveia and
Pablo A. Parrilo and
James Saunderson and
Rekha R. Thomas Lifting for Simplicity: Concise
Descriptions of Convex Sets . . . . . . 866--918
Misha E. Kilmer Research Spotlights . . . . . . . . . . 919--919
Alessio Spantini and
Ricardo Baptista and
Youssef Marzouk Coupling Techniques for Nonlinear
Ensemble Filtering . . . . . . . . . . . 921--953
Valentina De Simone and
Daniela di Serafino and
Jacek Gondzio and
Spyridon Pougkakiotis and
Marco Viola Sparse Approximations with Interior
Point Methods . . . . . . . . . . . . . 954--988
The Editors SIGEST . . . . . . . . . . . . . . . . . 989--989
Alain Durmus and
Éric Moulines and
Marcelo Pereyra A Proximal Markov Chain Monte Carlo
Method for Bayesian Inference in Imaging
Inverse Problems: When Langevin Meets
Moreau . . . . . . . . . . . . . . . . . 991--1028
Darinka Dentcheva Education . . . . . . . . . . . . . . . 1029--1029
L. P. Withers A Generalized Dual Transform: Linear
Algebra and Geometry of
(Pseudo)Inverting a Matrix . . . . . . . 1031--1061
Roel Snieder and
Michael B. Wakin When Randomness Helps in Undersampling 1062--1080
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 1083--1095
Marlis Hochbruck Survey and Review . . . . . . . . . . . 1--1
F. Llorente and
L. Martino and
D. Delgado and
J. López-Santiago Marginal Likelihood Computation for
Model Selection and Hypothesis Testing:
an Extensive Review . . . . . . . . . . 3--58
Kimon Fountoulakis and
Meng Liu and
David F. Gleich and
Michael W. Mahoney Flow-Based Algorithms for Improving
Clusters: a Unifying Framework,
Software, and Performance . . . . . . . 59--143
Stefan M. Wild Research Spotlights . . . . . . . . . . 145--145
Daniele Avitabile and
Joshua L. Davis and
Kyle Wedgwood Bump Attractors and Waves in Networks of
Leaky Integrate-and-Fire Neurons . . . . 147--182
Amir Ali Ahmadi and
Bachir El Khadir Learning Dynamical Systems with Side
Information . . . . . . . . . . . . . . 183--223
The Editors SIGEST . . . . . . . . . . . . . . . . . 225--225
Martin Donati Improbability of Collisions of
Point-Vortices in Bounded Planar Domains 227--257
Hél\`ene Frankowska Education . . . . . . . . . . . . . . . 259--260
Eunice Y. S. Chan and
Robert M. Corless Chaos Game Representation . . . . . . . 261--290
William A. Clark and
Mario W. Gomes and
Arnaldo Rodriguez-Gonzalez and
Leo C. Stein and
Steven H. Strogatz Surprises in a Classic Boundary-Layer
Problem . . . . . . . . . . . . . . . . 291--315
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 319--328
Marlis Hochbruck Survey and Review . . . . . . . . . . . 329--329
Rafael Lima Hawkes Processes Modeling, Inference,
and Control: an Overview . . . . . . . . 331--374
Laurent Condat and
Daichi Kitahara and
Andrés Contreras and
Akira Hirabayashi Proximal Splitting Algorithms for Convex
Optimization: a Tour of Recent Advances,
with New Twists . . . . . . . . . . . . 375--435
Stefan M. Wild Research Spotlights . . . . . . . . . . 437--437
Michael C. Brennan and
Mark Embree and
Serkan Gugercin Contour Integral Methods for Nonlinear
Eigenvalue Problems: a Systems Theoretic
Approach . . . . . . . . . . . . . . . . 439--470
Antoine Allard and
Cristopher Moore and
Samuel V. Scarpino and
Benjamin M. Althouse and
Laurent Hébert-Dufresne The Role of Directionality,
Heterogeneity, and Correlations in
Epidemic Risk and Spread . . . . . . . . 471--492
The Editors SIGEST . . . . . . . . . . . . . . . . . 493--493
Antoine Gautier and
Francesco Tudisco and
Matthias Hein Nonlinear Perron--Frobenius Theorems for
Nonnegative Tensors . . . . . . . . . . 495--536
Hél\`ene Frankowska Education . . . . . . . . . . . . . . . 537--537
Noel J. Walkington Nesterov's Method for Convex
Optimization . . . . . . . . . . . . . . 539--562
Patrick De Leenheer and
John Musgrove and
Tyler Schimleck A Comprehensive Proof of Bertrand's
Theorem . . . . . . . . . . . . . . . . 563--588
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 591--598
Marlis Hochbruck Survey and Review . . . . . . . . . . . 599--599
Monica Pragliola and
Luca Calatroni and
Alessandro Lanza and
Fiorella Sgallari On and Beyond Total Variation
Regularization in Imaging: The Role of
Space Variance . . . . . . . . . . . . . 601--685
Christian Bick and
Elizabeth Gross and
Heather A. Harrington and
Michael T. Schaub What Are Higher-Order Networks? . . . . 686--731
Hongyu Miao and
Alan S. Perelson and
Hulin Wu Erratum: On Identifiability of Nonlinear
ODE Models and Applications in Viral
Dynamics . . . . . . . . . . . . . . . . 732--732
Stefan M. Wild Research Spotlights . . . . . . . . . . 733--733
Dom\`enec Ruiz-Balet and
Enrique Zuazua Neural ODE Control for Classification,
Approximation, and Transport . . . . . . 735--773
Timothy Ginn and
Lynn Schreyer Compartment Models with Memory . . . . . 774--805
J. Galkowski and
E. A. Spence Does the Helmholtz Boundary Element
Method Suffer from the Pollution Effect? 806--828
The Editors SIGEST . . . . . . . . . . . . . . . . . 829--829
Jonas Latz Bayesian Inverse Problems Are Usually
Well-Posed . . . . . . . . . . . . . . . 831--865
Hél\`ene Frankowska Education . . . . . . . . . . . . . . . 867--867
Aminur Rahman and
D. Blackmore The One-Dimensional Version of Peixoto's
Structural Stability Theorem: a
Calculus-Based Proof . . . . . . . . . . 869--886
Brigid Murphy and
Paul Glendinning Piecewise Smooth Models of Pumping a
Child's Swing . . . . . . . . . . . . . 887--902
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 905--915
Marlis Hochbruck Survey and Review . . . . . . . . . . . 917--917
Richard C. Tillquist and
Rafael M. Frongillo and
Manuel E. Lladser Getting the Lay of the Land in Discrete
Space: a Survey of Metric Dimension and
Its Applications . . . . . . . . . . . . 919--962
Ludovic Chamoin and
Frédéric Legoll An Introductory Review on A Posteriori
Error Estimation in Finite Element
Computations . . . . . . . . . . . . . . 963--1028
Stefan M. Wild Research Spotlights . . . . . . . . . . 1029--1029
Kailiang Wu and
Chi-Wang Shu Geometric Quasilinearization Framework
for Analysis and Design of
Bound-Preserving Schemes . . . . . . . . 1031--1073
David Aristoff and
Wolfgang Bangerth A Benchmark for the Bayesian Inversion
of Coefficients in Partial Differential
Equations . . . . . . . . . . . . . . . 1074--1105
The Editors SIGEST . . . . . . . . . . . . . . . . . 1107--1107
Rodrigo M. Pereira and
Natacha Nguyen van yen and
Kai Schneider and
Marie Farge Are Adaptive Galerkin Schemes
Dissipative? . . . . . . . . . . . . . . 1109--1134
H\`eléne Frankowska Education . . . . . . . . . . . . . . . 1135--1135
Margherita Guida and
Carlo Sbordone The Reflection Method for the Numerical
Solution of Linear Systems . . . . . . . 1137--1151
Mark Jayson Cortez and
Alan Eric Akil and
Kre imir Josi and
Alexander J. Stewart Incorporating Computational Challenges
into a Multidisciplinary Course on
Stochastic Processes . . . . . . . . . . 1152--1170
Amenda N. Chow and
Kirsten A. Morris and
Gina F. Rabbah Hysteresis and Stability . . . . . . . . 1171--1184
Volker H. Schulz Book Reviews . . . . . . . . . . . . . . 1187--1197
Marlis Hochbruck Survey and Review . . . . . . . . . . . 1--1
Gabriel R. Barrenechea and
Volker John and
Petr Knobloch Finite Element Methods Respecting the
Discrete Maximum Principle for
Convection--Diffusion Equations . . . . 3--88
Stefan M. Wild Research Spotlights . . . . . . . . . . 89--89
Eva-Maria Walz and
Alexander Henzi and
Johanna Ziegel and
Tilmann Gneiting Easy Uncertainty Quantification
(EasyUQ): Generating Predictive
Distributions from Single-Valued Model
Output . . . . . . . . . . . . . . . . . 91--122
The Editors SIGEST . . . . . . . . . . . . . . . . . 123--123
Bjòrn Fredrik Nielsen and
Zden\vek Strako\vs A Simple Formula for the Generalized
Spectrum of Second Order Self-Adjoint
Differential Operators . . . . . . . . . 125--146
Hél\`ene Frankowska Education . . . . . . . . . . . . . . . 147--147
Allan R. Willms Resonantly Forced ODEs and Repeated
Roots . . . . . . . . . . . . . . . . . 149--160
Zongren Zou and
Xuhui Meng and
Apostolos F. Psaros and
George E. Karniadakis NeuralUQ: a Comprehensive Library for
Uncertainty Quantification in Neural
Differential Equations and Operators . . 161--190
Anita T. Layton Book Reviews . . . . . . . . . . . . . . 193--201
Marlis Hochbruck Survey and Review . . . . . . . . . . . 203--203
Julianne Chung and
Silvia Gazzola Computational Methods for Large-Scale
Inverse Problems: a Survey on Hybrid
Projection Methods . . . . . . . . . . . 205--284
Stefan M. Wild Research Spotlights . . . . . . . . . . 285--285
Leslie F. Greengard and
Shidong Jiang and
Manas Rachh and
Jun Wang A New Version of the Adaptive Fast Gauss
Transform for Discrete and Continuous
Sources . . . . . . . . . . . . . . . . 287--315
The Editors SIGEST . . . . . . . . . . . . . . . . . 317--317
Shixiang Chen and
Shiqian Ma and
Anthony Man-Cho So and
Tong Zhang Nonsmooth Optimization over the Stiefel
Manifold and Beyond: Proximal Gradient
Method and Recent Variants . . . . . . . 319--352
Hél\`ene Frankowska Education . . . . . . . . . . . . . . . 353--353
Steven G. Krantz The Poincaré Metric and the Bergman
Theory . . . . . . . . . . . . . . . . . 355--367
Hannelore De Silva and
Karl Sigmund Dynamics of Signaling Games . . . . . . 368--387
Anita T. Layton Book Reviews . . . . . . . . . . . . . . 391--399
Marlis Hochbruck Survey and Review . . . . . . . . . . . 401--401
Andreas M. Tillmann and
Daniel Bienstock and
Andrea Lodi and
Alexandra Schwartz Cardinality Minimization, Constraints,
and Regularization: a Survey . . . . . . 403--477
Stefan M. Wild Research Spotlights . . . . . . . . . . 479--479
Abigail Hickok and
Benjamin Jarman and
Michael Johnson and
Jiajie Luo and
Mason A. Porter Persistent Homology for Resource
Coverage: a Case Study of Access to
Polling Sites . . . . . . . . . . . . . 481--500
Liliana Borcea and
Josselin Garnier and
Alexander V. Mamonov and
Jörn Zimmerling When Data Driven Reduced Order Modeling
Meets Full Waveform Inversion . . . . . 501--532
The Editors SIGEST . . . . . . . . . . . . . . . . . 533--533
Nicholas H. Nelsen and
Andrew M. Stuart Operator Learning Using Random Features:
a Tool for Scientific Computing . . . . 535--571
Hél\`ene Frankowska Education . . . . . . . . . . . . . . . 573--573
Emily Ribando-Gros and
Rui Wang and
Jiahui Chen and
Yiying Tong and
Guo-Wei Wei Combinatorial and Hodge Laplacians:
Similarities and Differences . . . . . . 575--601
Anita T. Layton Book Reviews . . . . . . . . . . . . . . 605--615
Michael Naatz A Note on a Question of C. D. Savage . . 116--120