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Anonymous Congratulations to the thousand! . . . . 1--2 E. S. Kennedy and Yusuf $^c$Id A letter of al-b\=\ir\=un\=\i H*abash al-H*\=asib's analemma for the qibla . . 3--11 Anonymous History of Science Society Meeting San Francisco 27--29 Dec. 1973 . . . . . . . 12--12 Nachum L. Rabinovitch An Archimedean tract of Immanuel Tov-elem (14th Cent.) . . . . . . . . . 13--27 Anonymous The Charles S. Peirce newsletter . . . . 27--27 Anonymous Newsletter on teaching history of mathematics . . . . . . . . . . . . . . 27--28 R. L. Wilder Hereditary stress as a cultural force in mathematics . . . . . . . . . . . . . . 29--46 Lam Lay Yong Yang Hui's commentary on the Ying Nu chapter of the \booktitleChiu Chang Suan Shu . . . . . . . . . . . . . . . . . . 47--64 Kurt-R. Biermann Übersiedlung eines deutschen Mathematikers von Braunschweig nach Kaza'n im Jahre 1807/08: Zur Biographie von M. Bartels, Des Lehrers von Gauss und Lobacevskij. (German) [Settlement of a German mathematician of Braunschweig in Kaza'n in the years 1807/08: Biography of M. Bartels, the teacher of Gauss and Lobacevskij] . . . . . . . . . 65--77 Anonymous Canadian Society for the History and Philosophy of Mathematics/Société Canadienne d'Histoire et de Philosophie des Mathématiques . . . . . . . . . . . . 78--78 Anonymous History of Mathematics at the 3--5 June 1974 Toronto Meeting of the Canadian Society for the History and Philosophy of Science . . . . . . . . . . . . . . . 78--78 Anonymous History of Mathematics in the USA . . . 78--78 Barnabas B. Hughes The earliest known record of California Indian numbers . . . . . . . . . . . . . 79--82 Fred Ustina Henry Wilbraham and Gibbs Phenomenon in 1848 . . . . . . . . . . . . . . . . . . 83--84 Anonymous History at the Mathematical ASSN. Conference Royal Holloway College, Egham, Surrey, England 8--11 April 1994 84--84 J. R. Friday A note on mathematical papers in the archives of the Royal Institution of Great Britain . . . . . . . . . . . . . 85--86 Anonymous Harvard University Archives . . . . . . 86--86 Anonymous Photographic Archive of Historians of Science at Indiana University . . . . . 86--86 Hubert C. Kennedy A prospective biography of Giuseppe Peano (1858--1932) . . . . . . . . . . . 87--89 Anonymous Doctoral theses . . . . . . . . . . . . 90--90 Anonymous History of semiotics . . . . . . . . . . 90--90 Anonymous Harvard University Press Prize to I. B. Cohen . . . . . . . . . . . . . . . . . 90--90 Anonymous Minkowski papers . . . . . . . . . . . . 90--90 S. S. Demidov Summer Conference on the History of Mathematics and Mechanics in the XIX and XX Centuries Tartu, Estonian S.S.R., 3--10 July 1973 . . . . . . . . . . . . 91--92 Anonymous The Egyptian use of unit fractions for equitable distribution: a communication from Gerald R. Rising, State University of New York at Buffalo . . . . . . . . . 93--94 Anonymous Response by R. J. Gillings, Sydney, Australia . . . . . . . . . . . . . . . 94--94 Claude Lemaire Book Review: \booktitleAbriss der Geschichte der Mathematik. Fünfte, erweiterte Auflage. Mit einem Anhang über die Mathematik des 20. Jahrhunderts von I. Pogrebysski: By Dirk J. Struik. Berlin (VEB Deutscher Verlag der Wissenschaften), 1972. 255 pp. DM 12.80 95--96 Arthur P. Gittleman Book Review: \booktitleDiofant i diofantovy uravneniya: By I. G. Bashmakova. Moscow (Nauka), 1972, 68 pp. 12 k . . . . . . . . . . . . . . . . . . 96--97 Clas-Olof Selenius Book Review: \booktitleRazvitie teorii chisel v rossii: By E. P. Ozhigova. Leningrad (Izd Nauka), 1972. 360 pp. 1r, 80k . . . . . . . . . . . . . . . . . . 97--97 E. J. Barbeau Book Review: \booktitleClassical and modern integration theories: By Ivan N. Pesin. New York (Academic Press, Probability and Mathematical Statistics Series #8), 1970. 215 pp. \$13.25} . . . 97--98 Henry S. Tropp Book Review: \booktitleA computer perspective: By the office of Charles and Ray Eames. Cambridge, Mass. (Harvard University Press), 1973, 174 pp., illustrated. \$15} . . . . . . . . . . . 99--100 Carl B. Boyer Book Review: \booktitleDifferential equations: with applications and historical notes: By George F. Simmons. New York (McGraw-Hill), 1972, 482 pp . . 100--102 J. L. Berggren Book Review: \booktitleMathematics in civilization: By H. L. Resnikoff and R. O. Wells, Jr. New York (Holt, Rinehart and Winston), 1973. 384 pp. \$12.50} . . 102--106 Robert McGuigan Book Review: \booktitleA history of set theory: By Philip E. Johnson. Boston (Prindle, Weber & Schmidt), 1972. 118 pp 106--108 G. P. Matvievskaya Book Review: \booktitleArabic arithmetic. The arithmetic of Abu al-Wafa' al-Buzajani, 10th century: Mss. OR. 103 Leiden and 42 M Cairo. Edited with introduction, commentaries, and ample reference to the arithmetic of Al-Karaji (11th century), Ms. 855 Istanbul. By A. S. Saidan. Amman (Jordanian University), 1971. 468 pp. (Entirely in Arabic) . . . . . . . . . . 108--111 Anonymous English summary of the review . . . . . 112--112 Anonymous Abstracts . . . . . . . . . . . . . . . 113--126
Anonymous Should we be mathematicians, historians of science, historians, or generalists? 127--128 Stillman Drake Mathematics and discovery in Galileo's physics . . . . . . . . . . . . . . . . 129--150 Anonymous A quote on history of mathematics courses . . . . . . . . . . . . . . . . 150--150 Edward R. Hogan The beginnings of mathematics in a howling wilderness . . . . . . . . . . . 151--166 Frank J. Swetz The introduction of mathematics in higher education in China, 1865--1887 167--179 Anonymous Promotion . . . . . . . . . . . . . . . 180--180 Anonymous Phi Beta Kappa Award . . . . . . . . . . 180--180 W. H. Brock and R. M. Macleod The life and journals of Thomas Archer Hirst, FRS (1830--1892) . . . . . . . . 181--183 David A. King Smithsonian Institution project in medieval Islamic astronomy . . . . . . . 183--184 Anonymous Instructional AIDS for the history of mathematics . . . . . . . . . . . . . . 184--184 Lewis Pyenson Joint Atlantic Conference on the History of Physics (JAS), Montréal, Canada, 22--23 March 1973 . . . . . . . . . . . 185--186 Anonymous American mathematical heritage symposium on history of statistics and probability, 27--29 May 1974 . . . . . . 186--186 Anonymous Projects . . . . . . . . . . . . . . . . 186--186 Anonymous Jourdain's copy of Whitehead and Russell's \booktitlePrincipia Mathematica: a Communication From I. Grattan-Guinness, Middlesex Polytechnic at Enfield, England . . . . . . . . . . 187--187 Anonymous Obituary notices . . . . . . . . . . . . 187--187 Anonymous Book Review: \booktitleCreative teaching: Heritage of R. L. Moore: By Reginald D. Traylor with William Bane and Madeline Jones. Houston, Texas (University of Houston), 1972. 478 pp. \$8.50} . . . . . . . . . . . . . . . . 188--192 Anonymous Book Review: \booktitleBibliography and research manual of the history of mathematics: By Kenneth O. May. Toronto (University of Toronto Press), 1973. 827 pp. Can. \$20} . . . . . . . . . . . . . 192--194 Anonymous Book Review: \booktitleBolyai, sau aventura geometriilor neeuclidiene [(Romanian) [Bolyai, non-Euclidean geometries and adventure]]: By Florica T. Campan. Cluj (Editura Albatros), 1971. 139 pp. lei 6,75 . . . . . . . . . 194--194 Anonymous Book Review: \booktitleDemotic mathematical papyri: By Richard A. Parker. Providence, Rhode Island (Brown University Press, Brown Egyptological Studies VII) and London (Lund Humphries), 1972. 100 pp., 27 plates. Cloth \pounds 10.00 . . . . . . . . . . 195--199 Anonymous Book Review: \booktitle$ O R \to C J $. The foundations and mathematical models of operations research with extensions to the criminal justice system: By Haig Edward Bohigan. Yonkers, New York (Gazette Press), 1971. 305 pp . . . . . 199--200 Anonymous Book Review: \booktitleThe Euler--Mayer correspondence (1751--1755): a new perspective on Eighteenth-Century advances in the lunar theory: By Eric C. Forbes. New York (American Elsvier Publishing Company, Inc.), 1971. 125 pp., index . . . . . . . . . . . . . . . 200--202 Anonymous Book Review: \booktitleGöttingen and New York: a film in color (43 minutes) produced by the Mathematical Association of America, 1966. (Rental from Modern Film Rentals, 2323 New Hyde Park Road, New Hyde Park, N.Y. 11040. Purchase from Modern Learning Aids, P.O. Box 302, Rochester, N.Y. 14603.) . . . . . . . . 202--202 Anonymous Book Review: \booktitleDevelopment of modern mathematics: By J. M. Dubbey. New York (Crane, Russak, & Co.), 1973 [reprint of English edition: London (Butterworth & Co.), 1970]. 145 pp. \$6.25} . . . . . . . . . . . . . . . . 202--204 Donald E. Knuth Book Review: \booktitleThe origins of digital computers: Selected papers: Edited by Brian Randell. New York (Springer-Verlag), 1973. 464 p . . . . . 204--207 Anonymous Book Review: \booktitleDie hilbertische probleme: Edited by P. S. Alexandrov. German edition translated by H. Bernhardt and W. Purkert and edited by H. Wussing. Leipzig (Akademische Verlagsgesellschaft Geest & Portig K.-G.), 1971. 306 p . . . . . . . . . . 207--208 Anonymous Book Review: \booktitleA concise history of science in India: Edited by D. M. Bose, S. N. Sen, and B. V. Subbarayappa. New Delhi (Indian National Science Academy), 1971. 689 pp . . . . . . . . . 208--212 Anonymous Book Review: \booktitleDevelopment of mathematical logic: By R. L. Goodstein. London (Logos Press), 1971. 157 p . . . 212--214 Anonymous Book Review: \booktitleA handbook of terms used in algebra and analysis: Compiled by A. G. Howson. Cambridge (Cambridge University Press). 1972. 247 p. \$14.50 (cloth), \$4.95 (paper) . . . 214--214 Anonymous Book Review: \booktitleThe paradox of the liar: Edited by R. L. Martin. New Haven and London (Yale University Press), 1970. 149 p . . . . . . . . . . 215--218 Anonymous Abstracts . . . . . . . . . . . . . . . 219--252
Anonymous The Canadian connection . . . . . . . . 253--253 Anonymous Errata . . . . . . . . . . . . . . . . . 254--254 Anonymous Errata . . . . . . . . . . . . . . . . . 254--254 S. S. Petrova Sur l'histoire des démonstrations analytiques du théor\`eme fondamental de l'alg\`ebre . . . . . . . . . . . . . . 255--261 Anonymous History of Mathematics Meetings in India 262--262 Anonymous History of mathematics at Tokyo 19--26 August 1974 . . . . . . . . . . . . . . 262--262 Anonymous Meetings in Argentina . . . . . . . . . 262--262 H. Howard Frisinger Mathematicians in the history of meteorology: the pressure-height problem from Pascal to Laplace . . . . . . . . . 263--286 Radha Charan Gupta An Indian form of third order Taylor series approximation of the sine . . . . 287--289 Anonymous News from Brazil . . . . . . . . . . . . 290--290 Jeffrey H. Baumwell Anniversaries and 100 years ago . . . . 290--290 Árpád Szabó ``Die Muse der Pythagoreer'' [1] Zur Frühgeschichte der Geometrie. (German) [The Muse of the Pythagoreans [1] Toward an early history of geometry] . . . . . 291--316 Anonymous Lecture series at the university of Chicago . . . . . . . . . . . . . . . . 316--316 David A. King On medieval Islamic multiplication tables . . . . . . . . . . . . . . . . . 317--323 Anonymous Archive of Contemporary History, University of Wyoming . . . . . . . . . 324--324 Anonymous Biography of Emmy Noether . . . . . . . 324--324 Leo Rogers History of Mathematics at Teachers Conferences in England, Easter 1974 . . 325--326 Anonymous Advanced degrees in history of mathematics . . . . . . . . . . . . . . 326--326 Anonymous Canadian society for the history and philosophy of mathematics/Société Canadienne d'histoire et de philosophie des mathématiques . . . . . . . . . . . . 327--332 Garrett Birkhoff Book Review: \booktitleOrigins of modern algebra: By Lubos Novy. Prague (Academia), 1973. 260 p . . . . . . . . 333--337 Kurt-R. Biermann Book Review: \booktitleMathematicians from antiquity to today. A preliminary edition. Vol. I: By J. Fang, in collaboration with U. Dudley. Hauppauge, New York (Paideia Press), 1972. 341 p. \$12.80} . . . . . . . . . . . . . . . . 337--339 V. Linis Book Review: \booktitleAkademik V. A. Steklov: By V. S. Vladimirov and I. I. Markush. Moscow (Znanie), 1973. 63 p. Russ. 10 kop . . . . . . . . . . . . . . 339--341 Saul Rosen Book Review: \booktitleThe IBM Watson Laboratory at Columbia University: a history: By Jean Ford Brennan. International Business Machines Corp., 1971. 75 p . . . . . . . . . . . . . . . 341--342 James K. Bidwell Book Review: \booktitleThe Mathematical Association of America: Its first fifty years: Edited by Kenneth O. May. The Mathematical Association of American, 1972. 180 p. \$8.00} . . . . . . . . . . 342--344 Hideo Hirose Book Review: \booktitleChinese science: Exploration of an ancient tradition: Edited by Shigeru Nakayama and Nathan Sivin. Cambridge, Mass. (MIT Press). 1973. 378 p. \$12.50} . . . . . . . . . 344--346 A. S. Saidan Book Review: \booktitleAl-B a hir in algebra: By as-Samaw'al. Edited with notes and introduction by Salah Ahmad and Roshdi Rashed. Damas, Syria (Ministry of Higher Education of the Syrian Arab Republic. Printed at the University of Damas). 1972. 335 p. Fr. 15. \$3.00} . . . . . . . . . . . . . . 346--347 R. C. H. Tanner Book Review: \booktitleHumanism and the rise of science in Tudor England: By Antonia McLean. New York (Neale Watson Academic Publications) and London (Heineman Educational Books). 1972. 258 pp. U.S. \$10.50, U.K. \pounds 3.75} . . 348--350 Mario Bunge Book Review: \booktitlePhilosophy and mathematics: From Plato to the present: By Robert J. Baum. San Francisco, California (Freeman, Cooper & Co.), 1973. 332 pp. . . . . . . . . . . . . . . . . 350--350 Anonymous Abstracts . . . . . . . . . . . . . . . 351--386
Hubert C. Kennedy Peano's concept of number . . . . . . . 387--408 Eberhard Knobloch and West Berlin The mathematical studies of G. W. Leibniz on combinatorics . . . . . . . . 409--430 Stephen M. Stigler Gergonne's 1815 paper on the design and analysis of polynomial regression experiments . . . . . . . . . . . . . . 431--439 J. D. Gergonne The application of the method of least squares to the interpolation of sequences . . . . . . . . . . . . . . . 439--447 Anonymous Archives of mathematics journals . . . . 448--448 Anonymous Recordings . . . . . . . . . . . . . . . 448--448 Anonymous University of Indiana photographic archive of historians of science . . . . 448--448 P. J. Wallis A biobibliography of British mathematics and its applications up to 1850 . . . . 449--454 Anonymous Questions on mathematics in Africa . . . 454--454 Anonymous Dissertation in progress . . . . . . . . 455--455 Anonymous Dissertations in the USSR 1973/1974 . . 455--455 Anonymous Mathematics education in socialist countries . . . . . . . . . . . . . . . 455--455 Anonymous A letter from Ivor Grattan-Guinness, Middlesex Polytechnic, Enfield, England 456--456 A. Letter and Ivor Grattan-Guinness Recording duplication . . . . . . . . . 456--456 Anonymous La matemática o las matemáticas? . . . . . 457--458 Anonymous American mathematical heritage symposium on the history of statistics and probability . . . . . . . . . . . . . . 458--460 Anonymous American Academy of Arts and Sciences workshop on the historical evolution of mathematics . . . . . . . . . . . . . . 461--462 Anonymous Education . . . . . . . . . . . . . . . 462--462 Anonymous XIVth International congress of the history of science Tokyo and Kyoto, 19--27 August 1974 . . . . . . . . . . . 462--462 Anonymous Book Review: \booktitleMathematics in the time of the pharaohs: By Richard J. Gillings. Cambridge, Mass. (M.I.T. Press), 1972. 297 p. US \$25} . . . . . 463--468 Anonymous Book Review: \booktitleCarl Friedrich Gauss: Werke: Edited by the Königliche Gesellschaft der Wissenschaften zu Göttingen, 1863--1933. Reprint by Georg Olms Verlag, Hildesheim and New York, 1973. 12 vols. 7874 p. Figs., tables. DM 1316 . . . . . . . . . . . . . . . . . . 468--470 Anonymous Book Review: \booktitleThe mathematical career of Pierre de Fermat 1601--1665: By Michael Sean Mahoney. Princeton University Press, 1973. 427 p. US \$20} 470--476 Anonymous Book Review: \booktitleScientific instruments of the Seventeenth and Eighteenth Centuries: By Maurice Daumas. Translated and edited by Mary Holbrook. New York (Praeger), 1972. 361 pp., plates, bibliography. US \$38.50} . . . 476--477 Anonymous Book Review: \booktitleInvisible colleges. Diffusion of knowledge in scientific communities: By Diana Crane. University of Chicago Press, 1972. 223 p. US \$9} . . . . . . . . . . . . . . . 477--479 Anonymous Book Review: \booktitleTime and method: an essay on the methodology of research: By Ferdinand Gonseth. Translated by Eva H. Guggenheimer. Springfield, Illinois (Charles C. Thomas), 1972. 453 pp . . . 479--480 Anonymous Abstracts . . . . . . . . . . . . . . . 481--510 Anonymous Index of authors of articles and reviews in volume I . . . . . . . . . . . . . . 511--511 Anonymous Index of authors of publications reviewed and abstracted in volume I . . 512--516
Thomas Hawkins Cauchy and the spectral theory of matrices . . . . . . . . . . . . . . . . 1--29 Anonymous News and notices . . . . . . . . . . . . 30--30 B. L. van der Waerden On the sources of my book \booktitleModerne algebra . . . . . . . 31--40 LêV\uan Thiêm Report on mathematics in Viet Nam . . . 41--42 I. Grattan-Guinness Mathematical bibliography for W. H. and G. C. Young . . . . . . . . . . . . . . 43--58 Saunders Mac Lane A proposed ``mini-study'' of mathematical developments . . . . . . . 59--61 Gregory H. Moore A prospective biography of Ernst Zermelo (1871--1953) . . . . . . . . . . . . . . 62--63 Jon V. Pepper The proposed edition of the life and works of Thomas Harriot (1560--1621) . . 64--65 Clark Kimberling Matheematical aspects of music . . . . . 65--66 Boris A. Rozenfeld A medieval physico-mathematical manuscript newly discovered in the Kuibyshev Regional Library . . . . . . . 67--69 Andrew M. Patterson The Leonard J. Savage papers . . . . . . 70--72 Carl B. Boyer and Churc'hill Eisenhart and Phillip S. Jones and Kenneth O. May and David Rosenblatt and Charles Weiner A renewed appeal for the preservation of archival materials by the CBMS Advisory Committee on History . . . . . . . . . . 72--73 Anonymous Papers of Albert Einstein . . . . . . . 73--73 Anonymous Papers of John von Neumann . . . . . . . 73--73 R. C. Gupta History of mathematics at a summer school in India . . . . . . . . . . . . 74--74 Anonymous Canadian society for the history and philosophy of mathematics société canadienne d'histoire et de philosophie des mathématiques . . . . . . . . . . . . 75--76 Kenneth O. May Report of the Commission on the History of Mathematics to the Division of History of the International Union for the History and Philosophy of Science 77--82 Anonymous Joint Atlantic Seminar on the History of the Physical Sciences New Haven, Connecticut, March 21--22, 1975 . . . . 82--82 Anonymous Conference on the History of Mathematics 83--83 J. L. Berggren International Congress of Mathematicians 1974 . . . . . . . . . . . . . . . . . . 83--83 R. C. Gupta Seminar on Jaina Studies . . . . . . . . 83--83 Albert C. Lewis Bringing modern mathematics to bear on historical research . . . . . . . . . . 84--85 Yu. M. Gaiduk Further references on Wilbraham and Gibbs phenomenon . . . . . . . . . . . . 85--85 E. S. Kenenedy Book Review: \booktitleIz istorii tochnykh nauk na srednevekovom blizhnem i srednem vostoke: [From the History of the Exact Sciences in the Medieval Near and Middle East], By S. K. Sirazhdinov. Tashkent (Academy of Sciences of the Uzbek S.S.R.). 1972. 247 p. . . . . . . 86--90 A. F. Mona Book Review: \booktitleGiuseppe Peano: By Hubert C. Kennedy. Basel (Birkhäuser Verlag). 1974. 31 p. (Beiheft 14 of Elemente der Mathematik) . . . . . . . . 90--92 Martin Dyck Book Review: \booktitleGoethe kak estestvoispytatel: [Goethe as a Natural Scientist]. By I. I. Kanaev. Leningrad (Izdatelstvo ``Nauka''). 1970. 466 pp. 92--95 Laszlo Vekerdi Book Review: \booktitleThe vortex theory of planetary motions: By E. J. Aiton. London (Macdonald) and New York (American Elsevier). 1972. 282 p. \$18.50} . . . . . . . . . . . . . . . . 95--97 P. E. Hodgson Book Review: \booktitleCausality and scientific explanation: By William A. Wallace. Vol. I. Medieval and Early Classical Science. Vol. II. Classical and Contemporary Science. University of Michigan Press. 1972/4. \$13.20 and \$14.00 . . . . . . . . . . . . . . . . 97--100 Colin A. Russell Book Review: \booktitleThe origins of feedback control: By Otto Mayr. Cambridge, Mass. and London (MIT Press). 1970. 158 p. \$7.95} . . . . . . . . . . 100--100 F. N. David Book Review: \booktitleProbability and statistical inference in ancient and medieval Jewish literature: By N. L. Rabinovitch. University of Toronto Press. 1973. 218 p. \$12.50} . . . . . . 101--101 Anonymous Abstracts . . . . . . . . . . . . . . . 102--126
Tyrone Lai Did Newton renounce infinitesimals? . . 127--136 Johann Jakob Burckhardt Address on the 65th birthday of J. E. Hofmann at Oberwolfach . . . . . . . . . 137--146 C. J. Scriba Chronology of J. E. Hofmann, biobibliographic note, and supplementary bibliography of his publications . . . . 147--152 Anonymous Obituaries . . . . . . . . . . . . . . . 152--152 Gustave Choquet Notice sur les travaux scientifiques . . 153--160 Michael J. Crowe Ten ``laws'' concerning patterns of change in the history of mathematics . . 161--166 Clas-Olof Selenius Rationale of the Chakravala process of Jayadeva and Bhaskara II . . . . . . . . 167--184 Kenneth O. May Historiographic vices I. Logical attribution . . . . . . . . . . . . . . 185--187 M. D. Hendy Euclid and the fundamental theorem of arithmetic . . . . . . . . . . . . . . . 189--191 Anonymous Education . . . . . . . . . . . . . . . 192--193 B. J. Norton History of the biometric school of statistics and its influences on the social sciences . . . . . . . . . . . . 194--196 Anonymous `Mathematics' --- Singular or plural?: a note from Lewis Pyenson, Université de Montréal . . . . . . . . . . . . . . . . 197--199 Anonymous CSHPM/SCHPM Correction! . . . . . . . . 199--199 Charles V. Jones Reviews of old books . . . . . . . . . . 199--199 I. Grattan-Guinness The mathematical papers and library of Sir Edward Collingwood in the University of Durham . . . . . . . . . . . . . . . 200--202 J. D. Gray Archives of mathematical journals . . . 202--202 René Taton Book Review: \booktitleLazare Carnot savant: By Charles Coulston Gillispie. A monograph treating Carnot's scientific work, with facsimile reproduction of his unpublished writings on mechanics and on the calculus, and an essay concerning the latter by A. P. Youschkevitch. Princeton (Princeton University Press). 1971. 370 p. U.S. \$17.50} . . . . . . . 204--207 R. L. Wilder Book Review: \booktitleAfrica counts: By Claudia Zaslavsky. Boston (Prindle, Weber and Schmidt). 1973, 338 p, U.S. \$12.50} . . . . . . . . . . . . . . . . 207--210 Churchill Eisenhart Book Review: \booktitleStatistical papers in honor of George W. Snedecor: Edited by T. A. Bancroft assisted by Susan Alice Brown. Iowa State University Press, 1972. 345 p. US \$10.50} . . . . 211--218 Shin-ichi Ôya Book Review: \booktitleMing Kan no Syuzan Syo [a]: [Chinese Abacus Books Published in the Ming Age] By Akihito Kodama. Part 1: On the Chinese abacus books published in the Ming age (in Japanese), 115 p. Part 2: Chinese abacus books published in the last half of the 16th century of the Ming age (in Chinese), photocopy, 127 p. Tokyo (Fuji Junior College Press). 1972 242 p. \yen1500 . . . . . . . . . . . . . . . . 218--219 Daniel Pedoe Book Review: \booktitleEuclid and his modern rivals: By Lewis Carroll (Charles L. Dodgson). New York (Dover Publications). 1973 275 p. U.S. \$3.50} 219--222 J. W. Herivel Book Review: \booktitleJoseph Fourier 1768--1830: a Survey of His Life and Work Based on a Critical Edition of His Monograph on the Propagation of Heat, Presented to the Institut de France in 1807. By I. Grattan-Guinness in collaboration with J. R. Ravetz. Cambridge, Mass. & London (MIT Press). 1972 528 p. \pounds 9 . . . . . . . . . 222--223 Anonymous Abstracts . . . . . . . . . . . . . . . 224--252 Anonymous Meetings . . . . . . . . . . . . . . . . ??
Donald W. Crowe The geometry of African art II. A catalog of Benin patterns . . . . . . . 253--271 Anonymous Correction . . . . . . . . . . . . . . . 271--271 Anonymous Sources . . . . . . . . . . . . . . . . 272--272 Joseph W. Dauben The invariance of dimension: Problems in the early development of set theory and topology [1] . . . . . . . . . . . . . . 273--288 H. S. M. Coxeter The space-time continuum . . . . . . . . 289--298 Heinrich Hermelink The earliest reckoning books existing in the Persian language . . . . . . . . . . 299--303 M. Mikolás Some historical aspects of the development of mathematical analysis in Hungary . . . . . . . . . . . . . . . . 304--308 Peeter Müüsepp D'Alembert's letter to Euler of 3 March 1766 . . . . . . . . . . . . . . . . . . 309--311 Dan Pedoe Ausz disem wirdt vil dings gemacht [(German) [For this is done much recently]]: a Dürer construction for tangent circles . . . . . . . . . . . . 312--314 Kenneth O. May Historiographic vices II. Priority chasing . . . . . . . . . . . . . . . . 315--317 Anonymous Meetings . . . . . . . . . . . . . . . . 318--320 Anonymous Bertrand Russell Memorial Logic Conference: Essay Prize . . . . . . . . 320--320 Peter J. Wallis The book subscription lists project --- Its relevance for historians of mathematics . . . . . . . . . . . . . . 321--326 Christoph J. Scriba The place and function of a `historical introduction' in the curriculum for mathematics students . . . . . . . . . . 327--331 Graham Flegg History of mathematics course (AM289) at the open university, Great Britain . . . 332--333 Barnabas Hughes A course in history of mathematics for mathematics teachers . . . . . . . . . . 333--335 Anonymous CSHPM/SCHPM Meeting in Edmonton 6--7 June 1975 . . . . . . . . . . . . . . . 336--338 G. P. Matvievskaya Book Review: \booktitle`Boethius' Geometrie II: By Menso Folkerts. Boethius Texte und Abhandlungen zur Geschichte der Exakten Wissenschaften, Bank IX. Wiesbaden (Franz Steiner). 287 pp. DM.80 . . . . . . . . . . . . . . . 339--341 Charles C. Gillispie Book Review: \booktitleDiderot: By Arthur M. Wilson. Oxford University Press, 1972. 935 p . . . . . . . . . . . 342--344 Martin Dyck Book Review: \booktitleEinstein. Zhizn, smert, bessmertie: [Einstein: Life, Death, Immortality]. By B. G. Kuznetsov. Moskva (Izdatelstvo ``Nauka''), 1972. 607 pp . . . . . . . . . . . . . . . . . 344--347 Mary E. Williams Book Review: \booktitleWomen in mathematics: By Lynn M. Osen. Cambridge, Massachusetts (MIT Press), 1974. 185 pp. \$5.95} . . . . . . . . . . . . . . . . 348--349 Esther Portnoy Book Review: \booktitleGeorgii Nikolaevich Nikoladze: By A. N. Bogolyubov. Moscow (``Nauka''), 1973. 166 p . . . . . . . . . . . . . . . . . 349--349 Umberto Forti Book Review: \booktitleBabbage, la macchina analitica [(Italian) [Babbage: the Analytical Engine]]: By Mario G. Losano. Milan (Etas Kompas), 1973, 191 p 350--353 Lam Lay Yong Book Review: \booktitleChinese mathematics in the Thirteenth Century: the \booktitleShu-shu chiu-chang of Ch'in Chiu-Shao: by Ulrich Libbrecht. Cambridge, Massachusetts (MIT Press), 1973. 586 p. \$25} . . . . . . . . . . . 353--355 S. P. Zervos Book Review: \booktitleEnglish--Greek mathematical dictionary: By C. P. Tzelekis. Athens, 1973. 235 p . . . . . 355--355 George St Andonie Matematica si viata . . . . . . . . . . 356--358 Gregory H. Moore Book Review: \booktitleMen and discoveries in mathematics: By Bryan Morgan. London (John Murray), 1972. 235 p. Photos, figures. U.K. \pounds 2 . . . 358--359 C. Truesdell Book Review: \booktitleLeibniz and dynamics: By Pierre Costabel. Translated by R. E. W. Maddison. Paris (Hermann) and London (Methuen) and Ithaca, N. Y. (Cornell University Press), 1973. 141 p 360--361 Evandro Agazzi Book Review: \booktitleHistory of mathematical logic from Leibnitz to Peano: By N. I. Styazhkin. Translated from the Russian. Cambridge, Mass. (MIT Press), 1969. 341 p . . . . . . . . . . 361--365 Ho Peng Yoke Book Review: \booktitleMathematics education in China: Its growth and development: By Frank Swetz. Cambridge, Mass. (MIT Press), 1974. 364 p. Appendices, Index. \$15.00} . . . . . . 365--366 Ronald Calinger Book Review: \booktitleDie mathematik und ihre Dozenten an der Berliner Universität 1810--1920: By Kurt-R. Biermann. Berlin (Akademie-Verlag), SCV2 1973. 265 p. with 14 portraits . . . . . 367--369 Lewis Pyenson Book Review: \booktitleThe history of quantum theory: By Friedrich Hund. Translated by Gordon Reece. London (Harrap), 1974. Illustrations, index. 260 p. Can. \$15.00} . . . . . . . . . . 370--375 Anonymous Abstracts . . . . . . . . . . . . . . . 376--424
John Voss Foreword . . . . . . . . . . . . . . . . 425--427 Garrett Birkhoff and Sue Ann Garwood Preface . . . . . . . . . . . . . . . . 429--430 Anonymous Participants in the workshop . . . . . . 431--432 Anonymous Opening remarks for the conference by Garrett Birkhoff and I. B. Cohen . . . . 433--436 Garrett Birkhoff Introduction . . . . . . . . . . . . . . 437--438 Judith V. Grabiner The mathematician, the historian, and the history of mathematics . . . . . . . 439--447 Kenneth O. May What is good history and who should do it? . . . . . . . . . . . . . . . . . . 449--455 Elaine Koppelman Progress in mathematics . . . . . . . . 457--463 Henry Tropp The role of oral communication . . . . . 465--468 Michael J. Crowe Ten ``laws'' concerning conceptual change in mathematics . . . . . . . . . 469--470 Phillip S. Jones A role for the history of mathematics 471--472 Katsuhiko Yoshida Quantitative growth of modern mathematics in Japan prior to 1930 . . . 472--472 Garrett Birkhoff Introduction . . . . . . . . . . . . . . 473--474 I. Grattan-Guinness Preliminary notes on the historical significance of quantification and of the axioms of choice in the development of mathematical analysis . . . . . . . . 475--488 I. Grattan-Guinness Russell's logical progress: Some new light from manuscript sources . . . . . 489--493 Hans Freudenthal The cradle of modern topology, according to Brouwer's inedita . . . . . . . . . . 495--502 Garrett Birkhoff Introduction . . . . . . . . . . . . . . 503--505 Errett Bishop The crisis in contemporary mathematics 507--517 Nancy Kopell and Gabriel Stolzenberg Commentary on Bishop's talk . . . . . . 519--521 Gerald Sacks Remarks against foundational activity 523--528 Hilary Putnam What is mathematical truth? . . . . . . 529--533 Garrett Birkhoff Introduction . . . . . . . . . . . . . . 535--536 Jean Dieudonné Introductory remarks on algebra, topology and analysis . . . . . . . . . 537--548 Alan Baker Some historical remarks on number theory 549--553 George Mackey Some remarks on harmonic analysis . . . 555--562 Thomas Hawkins Mathematical progress without fusion . . 563--566 Shreeram S. Abhyankar High-school algebra in algebraic geometry . . . . . . . . . . . . . . . . 567--572 Garrett Birkhoff Introduction . . . . . . . . . . . . . . 573--574 Morris Kline Opening remarks . . . . . . . . . . . . 575--575 Felix E. Browder The relation of functional analysis to concrete analysis in 20th century mathematics . . . . . . . . . . . . . . 577--590 Antoni Zygmund The role of Fourier series in the development of analysis . . . . . . . . 591--594 J. P. Kahane A central object in mathematics: the Brownian motion . . . . . . . . . . . . 595--600 Joaquin B. Diaz How mathematics progresses . . . . . . . 601--602 Sue Ann Garwood Additional discussion questions . . . . 603--604 Garrett Birkhoff and Sue Ann Garwood Bibliographies . . . . . . . . . . . . . 605--615 Anonymous CSHPM/SCHPM . . . . . . . . . . . . . . 617--617 Anonymous Erratum . . . . . . . . . . . . . . . . 617--617 Anonymous Thanks . . . . . . . . . . . . . . . . . 617--617 Anonymous Index of authors of articles and reviews in volume II . . . . . . . . . . . . . . 619--619 Anonymous Index of authors of publications reviewed or abstracted in volume I . . . 620--624 Anonymous Announcements . . . . . . . . . . . . . 624--624
Anonymous Editorial: Questions of policy . . . . . 1--4 Pierre Dugac Probl\`emes de l'histoire de l'analyse mathématique au XIX\`eme si\`ecle. Cas de Karl Weierstrass et de Richard Dedekind 5--19 Anonymous A current history project suggestion . . 20--20 A. G. Molland Shifting the foundations: Descartes's transformation of ancient geometry . . . 21--49 Anonymous CSHPM/SCHPM . . . . . . . . . . . . . . 49--49 Katsuhiko Yoshida Quantitative growth of modern mathematics in Japan prior to 1930 . . . 51--54 Jean Mayer Développements récents de la théorie des graphies . . . . . . . . . . . . . . . . 55--62 Richard P. Ross Oronce Fine's \booktitleDe speculo ustorio: a heretofore ignored early French Renaissance printed treatise on mathematical optics . . . . . . . . . . 63--70 Stephen M. Stigler The anonymous Professor Gergonne . . . . 71--74 Boris A. Rozenfeld The list of physico-mathematical works of Ibl Al-Haytham written by himself . . 75--76 Anonymous Projects . . . . . . . . . . . . . . . . 76--76 Phillips S. Jones Bibhutibhusan datta . . . . . . . . . . 77--78 Salah Ahmad and Roshdi Rashed A. S. Saidan's review of \booktitleAl-Bahir en alg\`ebre d'as-samaw'al . . . . . . . . . . . . . 78--80 M. Folkerts Report on the 19th colloquium on the history of mathematics at the Mathematical Research Institute Oberwolfach (Black Forest) . . . . . . . 81--85 Anonymous Bicentennial program at the MAA meeting in San Antonio, Texas 24--26 January 1976 . . . . . . . . . . . . . . . . . . 85--85 Anonymous Education . . . . . . . . . . . . . . . 86--86 Anonymous Reviews . . . . . . . . . . . . . . . . 87--87 Hubert C. Kennedy Book Review: \booktitleIstoriya matematiki s drevneishikh vremen do nachala XIX stoletiya: By A. P. Yushkevich et al. Tom tretii: Matematika XVIII stoletiya [History of Mathematics from Ancient Times to the Beginning of the 19th Century. Volume 3: Mathematics of the 18th century]. Moscow (Nauka). 1972. 495 p . . . . . . . . . . . . . . 87--90 David Pingree Book Review: \booktitleScience awakening II. The birth of astronomy: By Bartel L. van der Waerden, with contributions by Peter Huber. Leyden (Noordhoff International Publishing) and New York (Oxford University Press). 1974. 362 p. 31 plates . . . . . . . . . . . . . . . 90--91 William L. Schaaf Book Review: \booktitleL'arithmétique amusante: [Arithmetical recreations]. By Edouard Lucas. Facsimile reprint. Paris (Albert Blanchard). 1974. 266 p. fr. 22 91--93 Bernard Aupetit Book Review: \booktitleFunctional analysis in historical perspective: By A. F. Monna. Utrecht (Oosthoek Publishing Co). 1973. 17S p . . . . . . 93--95 Maurice Kendall Book Review: \booktitleThe heritage of Copernicus: Theories ``pleasing to the mind'': Edited by Jerzy Neyman. Cambridge, Mass. and London (The M. I. T. Press). 552 p . . . . . . . . . . . . 95--96 Lewis Pyenson Book Review: \booktitlePhysics at Seventeenth and Eighteenth Century Leiden: Edward G. Ruestow. The Hague (Martinus Nijhoff.) 1973. 177 p. Gld. 24.50 . . . . . . . . . . . . . . . . . 96--100 Mario Bunge Book Review: \booktitleFrom mathematics to philosophy: By Hao Wang. London (Routledge and Kegan Paul), New York (Humanities Press) 1974. 442 p. U.S. \$23.90} . . . . . . . . . . . . . . . . 100--102 N. T. Gridgeman Book Review: \booktitleA Boolean anthology: Selected writings of Mary Boole. By D. G. Tahta. London (Association of Teachers of Mathematics.) 1972. 79 p. 0.50 . . . . . 102--103 Winifred L. Wisan Book Review: \booktitleGalileo Revisited: an essay review of Galileo's intellectual revolution: Middle period, 1610--1632: By William R. Shea. New York (Science History Publications). 1972. 204 pp. \$15} . . . . . . . . . . . . . 103--109 Anonymous Abstracts . . . . . . . . . . . . . . . 110--132
Anonymous To Dirk J. Struik at eighty-two . . . . 133--133 Ivo Schneider The introduction of probability into mathematics . . . . . . . . . . . . . . 135--140 E. J. Barbeau and P. J. Leah Euler's 1760 paper on divergent series 141--160 Anonymous History of mathematics at teachers' conferences in England Easter 1975 . . . 160--160 Victor S. Albis-González and Luis I. Soriano-Lleras The work of Indalecio Liévano on the foundations of real numbers . . . . . . 161--166 Henry S. Tropp The origins and history of the fields medal . . . . . . . . . . . . . . . . . 167--181 Anonymous Upcoming meeting . . . . . . . . . . . . 182--182 Francine Abeles Multiplication in changing bases: a note on Lewis Carroll . . . . . . . . . . . . 183--184 Phillip S. Jones Louis Charles Karpinski, historian of mathematics and cartography . . . . . . 185--202 Anonymous CSHPM/SCHPM . . . . . . . . . . . . . . 202--202 J. D. Gray Comments on collected works, in particular those of Émile Borel and Jacques Hadamard . . . . . . . . . . . . 203--206 Gregory H. Moore Ernst Zermelo, A. E. Harward, and the axiomatization of set theory . . . . . . 206--209 B. L. van der Waerden D. Pingree's review of my book: \booktitleScience awakening II . . . . . 209--211 I. Grattan-Guinness Corrections to the workshop proceedings 211--211 Anonymous News and notices . . . . . . . . . . . . 212--212 Thomas Hawkins The Friedrich Engel archive in Giessen 213--214 R. C. Gupta Indian doctoral theses on history of mathematics 1950--1975 . . . . . . . . . 215--215 Anonymous Projects . . . . . . . . . . . . . . . . 216--216 J. J. Gray The 1975 annual general meeting of the British society for the history of mathematics . . . . . . . . . . . . . . 217--218 Albert C. Lewis History of mathematics at the American association for the advancement of science annual meeting, Boston 18--24 February 1976 . . . . . . . . . . . . . 218--219 Anonymous Ninth annual conference of the Leningrad section of the Soviet national society for the history and philosophy of science and technology, 4--5 February 1976 . . . . . . . . . . . . . . . . . . 219--219 Anonymous American mathematical heritage symposium on the history of algebra at the University of Texas at El Paso, November 15--16 1975 . . . . . . . . . . . . . . 220--220 Anonymous International Scientific Conference on Al-Farabi and the Development of Science and Culture in the East Alma Ata, 11--13 September 1975 . . . . . . . . . . . . . 220--220 L. Reizins Book Review: \booktitleEssays on the development of the analytical theory of differential equations: By V. A. Dobrovolskii. Kiev (``Vishcha Shkola,'' Kiev State University). 455 p . . . . . 221--223 James MacLachlan Book Review: \booktitleLes nouvelles pensées de Galilée: Par Marin Mersenne. Edition critique avec introduction et notes. Par Pierre Costabel et Michel-Paul Lerner. Avant-propos de Bernard Rochot. Paris (Librairie Philosophique J. Vrin). 1973. Vol. I, 130 pp.; Vol. II (Notes et Index), pp. 131--319 . . . . . . . . . . . . . . . . 223--224 Sanford L. Segal Book Review: \booktitleDevelopment of mathematics in the German Democratic Republic: Edited by Horst Sachs. Berlin (VEB Deutscher Verlag der Wissenschaften). 776 p . . . . . . . . . 225--226 Norman L. Thomas Book Review: \booktitleOn a research program in early modern physics: By Aant Elzinga. Stockholm (Kungl. Boktryckeriet P. A. Norstedt and Soner). 1972. 144p 226--229 Maria Cinquini Cibrario Book Review: \booktitleSelected works of Giuseppe Peano: Translated and edited by Hubert C. Kennedy. Toronto (University of Toronto Press). 1973. 249 p. \$12.50} 230--232 R. L. Plackett Book Review: \booktitleProbability theory: a historical sketch: By L. E. Maistrov. Translated and edited by Samuel Kotz. New York and London (Academic Press). 1974. 294 pp . . . . . 233--234 Mario Bunge Book Review: \booktitleLa mathématisation des doctrines informes: Colloque tenu \`a l'Institut d'histoire des sciences de l'Université de Paris sous la direction de George Canguilhem. Paris (Hermann). 1972. 237 pp . . . . . . . . 235--235 Chandler Davis Book Review: \booktitleDevelopment of mathematics in the Moldavian SSR. Short sketch: By V. P. Bychkov and K. S. Sibirskii. Kishinev (Izd. Shtiinstsa). 1974. 47 p . . . . . . . . . . . . . . . 235--236 John T. Blackmore Book Review: \booktitleThe Einstein decade: By Cornelius Lanczos. New York and London (Academic Press), 1974. \$12.50} . . . . . . . . . . . . . . . . 236--236 W. Allan Gabbey Book Review: \booktitleIsaac Newton's philosophiae naturalis principia mathematica: the Third Edition (1726) with variant readings. Assembled and edited by Alexandre Koyré and I. Bernard Cohen, with the assistance of Anne Whitman. 2 volumes. Cambridge, Mass. (Harvard University Press) and Cambridge (Cambridge University Press). 1972. 916 pp. U.S.\$60. \pounds 25} . . . . . . . 237--243 Anonymous Abstracts . . . . . . . . . . . . . . . 244--258
Isabella G. Bashmakova and A. T. Grigoryan and A. I. Markushevich and F. A. Medvedev and B. A. Rozenfeld Adolph Pavlovich Yushkevich (on the occasion of his seventieth anniversary) 259--278 H. L. L. Busard Über die Überlieferung der Elemente Euklids über die Länder des Nahen Ostens nach West-Europa. (German) [On the lore of the \booktitleElements of Euclid in the countries of the nearby East to West Europe] . . . . . . . . . . . . . . . . 279--290 Stanis\law Glushkov On approximation methods of Leonardo Fibonacci . . . . . . . . . . . . . . . 291--296 Anonymous Imposition of decimal numeration on primitive tribes . . . . . . . . . . . . 296--296 Herbert Mehrtens T. S. Kuhn's theories and mathematics: a discussion paper on the ``new historiography'' of mathematics . . . . 297--320 Anonymous Person index for Delambre's \booktitleRapport Historique of 1810 . . 321--324 Anonymous Association for Women in Mathematics . . 324--324 Ivor Grattan-Guinness History of mathematics and histories of other sciences . . . . . . . . . . . . . 325--327 Anonymous C. S. Pierce National Monument . . . . . 327--327 Marshall Stone A reminiscence on the extension of the Weierstrass Approximation Theorem . . . 328--328 John Wilson New light on the origin of the four-color conjecture . . . . . . . . . 329--330 Anonymous Sources . . . . . . . . . . . . . . . . 331--331 Anonymous Projects . . . . . . . . . . . . . . . . 332--332 Anonymous Education . . . . . . . . . . . . . . . 333--333 Anonymous Annual meeting of the Canadian Society for the history and philosophy of mathematics . . . . . . . . . . . . . . 334--336 Anonymous Meetings . . . . . . . . . . . . . . . . 337--338 Anonymous News and notices . . . . . . . . . . . . 339--340 Anonymous Reviews . . . . . . . . . . . . . . . . 341--341 Toshio Umezawa Book Review: \booktitleGiuseppe Peano: By Hubert C. Kennedy. Basel (Birkhäuser Verlag) 31 p. (Beiheft 14 of Elemente der Mathematik) . . . . . . . . . . . . 341--342 Philip C. Enros Book Review: \booktitleRapport historique sur les progr\`es des sciences mathématiques depuis 1789, et sur leur état actuel, etc.: By J. B. J. Delambre. Reprint of the original Paris edition of 1810. Amsterdam (B. M. Israël). 1966. viii + 362 pp . . . . . . 342--344 Ernest Stipani\'c Vzaimosvyaz filosofii i matematiki v protsesse istoricheskogo razvitiya ot epokhi vosrozhdeniya do nachala XX veka (Russian) [The relationship between philosophy and mathematics in the process of historical development from the Renaissance to the beginning of the XXth century] . . . . . . . . . . . . . 344--350 H. Freudenthal Book Review: \booktitleLa topologie algébrique des origins \`a Poincaré: By Jean-Claude Pont. Bibliothéque de Philosophie contemporaine. (Presse Universitaire de France). 1974 . . . . . 350--352 Wei-Ching Chang Book Review: \booktitleThe life and times of the Central Limit Theorem: By William J. Adams. New York (Kaedmon). 1974. 119 p . . . . . . . . . . . . . . 353--354 Nicholas H. Clulee Book Review: \booktitleThe mathematical praeface to the \booktitleElements of Geometrie of Euclid of Megara (1570): By John Dee. Introduction by Allen G. Debus. New York (Science History Publication). 1975. 94 p. US\$8.95} . . 355--357 Phillip S. Jones Book Review: \booktitleMathematics and mathematicians: By P. Dedron and J. Itard, translated by J. V. Field. London (Transworld Publishers Ltd.) 1974. Vol. I, 326 p.; Vol. II, 222 p. \pounds 1.50, \pounds 1.00 . . . . . . . . . . . . . . 357--359 Barnabas Hughes Book Review: \booktitleHistory of mathematics: By Arthur Gittleman. Columbus, Ohio (Charles E. Merrill). 1975. 291 p. US\$14.95} . . . . . . . . 359--361 Anonymous Abstracts . . . . . . . . . . . . . . . 362--384
Anonymous Editorial: Reorganization . . . . . . . 385--385 Morris Kline Carl B. Boyer --- in memoriam . . . . . 387--394 Anonymous Chronology of Carl B. Boyer . . . . . . 395--396 Anonymous History of Science Society to honor Carl Boyer, Philadelphia, 28 December 1976 396--396 Michael J. Crowe Bibliography of the writings of Carl B. Boyer . . . . . . . . . . . . . . . . . 397--401 Anonymous History of biometry at the 9th International Biometric Conference Boston, 22--27 August 1976 . . . . . . . 402--402 Edward R. Hogan George Baron and the Mathematical Correspondent . . . . . . . . . . . . . 403--415 Anonymous C. S. Peirce bicentennial international congress June 16--20, 1976 . . . . . . . 416--416 Anonymous History of statistics at the 40th session of the International Statistical Institute Warsaw 1--9 September 1975 . . 416--416 Marvin A. Powell, Jr. The antecedents of old Babylonian place notation and the early history of Babylonian mathematics . . . . . . . . . 417--439 Anonymous Correspondence . . . . . . . . . . . . . 440--440 Anonymous Project for historical bibliography . . 440--440 Germaine Aujac Sphérique et sphéropée en Gr\`ece ancienne 441--447 G. de B. Robinson Gauss Bicentennial Symposium Ontario Science Centre, Toronto, Ontario June 3, 4, 1977 . . . . . . . . . . . . . . . . 448--448 Werner Jentsch Über ein hallenser manuskript der dissertation Georg Cantors. (German) [On a Halle manuscript of the dissertation of Georg Cantor] . . . . . . . . . . . . 449--462 David E. Kullman Two hundred years of mathematics in America . . . . . . . . . . . . . . . . 463--468 R. C. Gupta 1500th anniversary of \=Aryabhata I at Patna (India) . . . . . . . . . . . . . 468--469 Anonymous Meeting on ``Mathematics in a social context'' at Regensburg 2--3 July 1976 470--471 Anonymous Sources . . . . . . . . . . . . . . . . 472--472 Anonymous Education . . . . . . . . . . . . . . . 473--476 Paul J. Cambell An experimental course of African mathematics . . . . . . . . . . . . . . 477--478 Anonymous News and notices . . . . . . . . . . . . 479--480 I. Grattan-Guinness Book Review: \booktitleOeuvres compl\`etes d'Augustin Cauchy. II$^e$ série --- tome XV: Edited under the direction of the Paris Academy of Sciences and with the assistance of the Centre National de la Recherche Scientifique. Paris, Brussels and Montréal (Gauthier-Villars), 1974. vii + 640 pp. . . . . . . . . . . . . . . . . 481--485 Richard G. Olson Book Review: \booktitleThomas Reid's inquiry: the geometry of visibles and the case for realism: By Norman Daniels with a foreward by Hilary Putnam. New York (Burt Franklin and Co.). 1974. xix + 147 pp. . . . . . . . . . . . . . . . 486--487 Bernard R. Goldstein Book Review: \booktitleDer Almagest: Die \booktitleSyntaxis mathematica des Claudius Ptolemäus in arabisch-lateinscher Überlieferung: By Paul Kunitzsch. Wiesbaden (Otto Harrassowitz). 1974. xvi + 384 p.; 10 plates. DM 160 . . . . . . . . . . . . . 488--489 Robert Spira Book Review: \booktitleRiemann's zeta function: By Harold M. Edwards. New York. (Academic Press). 1974. 315 pp. 489--490 H. C. Kennedy Book Review: \booktitleKarl Marx. Mathematische manuskripte: Edited, with an introduction and commentary, by Wolfgang Endemann. Kronberg Taunus, BRD (Spriptor Verlag). 1974. 178 p . . . . . 490--490 H. C. Kennedy Book Review: \booktitleKarl Marx. Manoscritti matematici: Translated and edited by Francesco Matarrese and Augusto Ponzio. Bari, Italy (Dedalo Libri). 1975. 184 p. 3,000 lire . . . . 490--494 Howard Eves Book Review: \booktitleHistory of mathematics: Topics for schools: By Walter Popp. Translated from the German by Maxim Bruckheimer. London, England (Transworld Student Library). 1974. 150 pp . . . . . . . . . . . . . . . . . . . 495--496 Gilles Gaston Granger Book Review: \booktitleCondorcet mathématique et société: Choix de textes et commentaire. By Roshdi Rashed. Paris (Hermann). 1974. ISBN 2 7056 1. 218 pp 496--497 B. L. van der Waerden Book Review: \booktitleThe evolution of the Euclidean \booktitleElements: By Wilbur Richard Knorr. A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early Greek Geometry. Dordrecht-Holland/ Boston (D. Reidel Publishing Co.). 1975. xii + 374 p. \$49} . . . . . . . . . . . . . . . . 497--499 Anonymous Abstracts . . . . . . . . . . . . . . . 500--508 Anonymous Index of authors of articles and reviews in volume III . . . . . . . . . . . . . 509--509 Anonymous Index of authors of publications reviewed and abstracted in volume III 510--514
J. L. Berggren A lacuna in Book I of Archimedes' sphere and cylinder . . . . . . . . . . . . . . 1--6 Anonymous 150th Anniversary of the Birth of Riemann . . . . . . . . . . . . . . . . 6--6 Anonymous American Mathematical Heritage Symposium on the History of Applied Mathematics at the University of Texas at Arlington, 2--3 October 1976 . . . . . . . . . . . 6--6 H. J. M. Bos and H. Mehrtens The interactions of mathematics and society in history some exploratory remarks . . . . . . . . . . . . . . . . 7--30 Stephen M. Stigler An attack on Gauss, published by Legendre in 1820 . . . . . . . . . . . . 31--35 Anonymous Gauss Symposium in Ottawa, 30 April 1977 36--36 Peeter Müürsepp Gauss' letter to Fuss of 4 April 1803 37--41 Anonymous News & notices . . . . . . . . . . . . . 42--42 Albert Novikoff and Jack Barone The Borel Law of Normal Numbers, the Borel Zero--One Law, and the work of Van Vleck . . . . . . . . . . . . . . . . . 43--65 Anonymous Education . . . . . . . . . . . . . . . 66--66 Radha Charan Gupta Parame'svara's rule for the circumradius of a cyclic quadrilateral . . . . . . . 67--74 Bertram Ross The development of fractional calculus 1695--1900 . . . . . . . . . . . . . . . 75--89 Anonymous Projects . . . . . . . . . . . . . . . . 90--90 R. C. Gupta 1500th Birth Anniversary of \=Aryabhata at Delhi . . . . . . . . . . . . . . . . 91--93 L. F. Rogers History of Mathematics at the Third International Congress for Mathematical Education Karlsruhe, 16--21 August 1976 94--95 Anonymous News and notices . . . . . . . . . . . . 95--96 Anonymous Book Review: \booktitleLeonhard Euler Briefwechsel. Opera omnia. Series quarta A: Commercium epistolicum, vol. I: Herausgeber: A. P. Jushkevich, V. Smirnov, W. Habicht. Basel (Birkhäuser). 1975. xvii + 666 pp. 1 plate. \$60} . . 97--100 Anonymous Book Review: \booktitleMessage d'un Mathématicien: Henri Lebesgue: By Lucienne Félix. Paris (Albert Blanchard). 1974. 259 p. 65f. . . . . . . . . . . . 100--102 Anonymous Book Review: \booktitleStability of motion: Edited by A. T. Fuller. London (Taylor and Francis), New York and Toronto (John Wiley). 1975 . . . . . . . 102--103 Anonymous Book Review: \booktitleSets and integration. An outline of the development: By D. van Dalen and A. F. Monna. Groningen (Wolters --- Nordhoff). 1972. 162 p. H. F1. 43.30 . . . . . . . 103--103 Anonymous Book Review: \booktitleG. W. Leibniz marginalia in Newtoni principia mathematica: Édition critique en langue allemande par E. A. Fellmann. Traduction française de J. F. Courtine. Collection des travaux de l'Académie internationale d'histoire des sciences n$^o$. Paris (Librairie Philosophique J. Vrin). 1973. 128 pp. . . . . . . . . . . . . . . . . 104--105 Anonymous Book Review: \booktitleHistoire des mathématiques: By Jean-Paul Collette. Montréal (Éditions du Renouveau Pédagogique). 1973. 238 p. . . . . . . . 105--106 Anonymous Book Review: \booktitleThe Italian Renaissance of mathematics: By Paul Lawrence Rose. Geneva (Librairie Droz). 1975. xiii + 316 pp. . . . . . . . . . . 106--107 Anonymous Book Review: \booktitleIstoriya matematiki s drevneishikh vremen do nachala XIX stoletiya. Tom Pervyi: S drevneishikh vremen do nachala novogo vremeni: Edited by A. P. Yushkevich. Moscow (Nauka). 1970. 351 p. . . . . . . 108--109 Anonymous Book Review: \booktitleA survey of the \booktitleAlmagest. Acta historica scientiarum naturalium et medicinalium, vol. 30: By Olaf Pedersen. Copenhagen (Odense University Press). 1974. 454 p. Dan. kr. 200 . . . . . . . . . . . . . . 110--113 Anonymous Book Review: \booktitleDie hauptschriften zur dyadik von G. W. Leibniz: By Hans J. Zacher. Frankfurt/M. (Vittorio Klostermann). 1973. 392 p. . . 114--114 Anonymous Abstracts: Edited by Kenneth O. May . . 115--126
Stanislav Glushkov An interpretation of Vi\`ete's ``\booktitleCalculus of triangles'' as a precursor of the algebra of complex numbers . . . . . . . . . . . . . . . . 127--136 Hermann Engels Quadrature of the circle in ancient Egypt . . . . . . . . . . . . . . . . . 137--140 Eric G. Forbes Descartes and the birth of analytic geometry . . . . . . . . . . . . . . . . 141--151 Robert E. Greenwood The kinship of E. H. Moore and R. L. Moore . . . . . . . . . . . . . . . . . 153--155 Anonymous Canadian Society Meeting and Gauss Symposium . . . . . . . . . . . . . . . 155--155 Anonymous Gauss bicentennial celebration at Göttingen . . . . . . . . . . . . . . . . 155--155 Edward R. Hogan Robert Adrian: American mathematician 157--172 James Maclachlan Mersenne's solution for Galileo's problem of the rotating Earth . . . . . 173--182 Arthur Schlissel The initial development of the WKB solutions of linear second order ordinary differential equations and their use in the connection problem . . 183--204 Anonymous Third International Leibniz Congress . . 204--204 Frank Harary On ``The Tantalizer'' and ``Instant Insanity'' . . . . . . . . . . . . . . . 205--206 Umberto Bottazzini The mathematical papers of Enrico Betti in the Scuola Normale Superiore of Pisa 207--209 Dale M. Johnson The correspondence of Camille Jordan . . 210--210 J. J. Gray and Hon Secretary The British Society for the History of Mathematics . . . . . . . . . . . . . . 211--213 R. C. Gupta Silver Jubilee of Bh\=arata Ga\.nita Pari\.sad . . . . . . . . . . . . . . . 214--215 Norman L. Biggs and E. Keith Lloyd and Robin J. Wilson C. S. Peirce and de Morgan on the Four-Colour Conjecture . . . . . . . . . 215--216 Maurice P. Crosland Book Review: \booktitleCondorcet. From natural philosophy to social mathematics: By Keith Michael Baker. Chicago (University of Chicago Press). 1975. 552 p . . . . . . . . . . . . . . 217--218 Hans Freudenthal Book Review: \booktitleNotice sur les travaux scientifiques, suivi de le parallelisme absolu et la théorie unitaire du champ: By Élie Cartan. Paris (Gauthier-Villars). 1974. Collection ``Discours de la Méthode''. 128 p . . . . 218--218 Stephen G. Brush Book Review: \booktitleJoseph Fourier: the man and the physicist: By John Herivel. Oxford (Clarendon Press). 1975. xii + 350 pp. \$30.95} . . . . . . . . . 219--221 E. J. Barbeau Book Review: \booktitleLeonhardi euleri opera omnia. Commentationes mechanicae et astronomicae ad scientiam navalem pertinentes. Volumen prius: Edited by Walter Habicht. Series 2, Volume 20 of the Collected Works of L. Euler. Basel (Orell Füssli Turici). 1974. lx + 275 pp 221--221 I. Grattan-Guinness Book Review: \booktitleDirichlet's principle. A mathematical comedy of errors and its influence on the development of analysis: By A. F. Monna. Utrecht (Oosthoek, Scheltema and Holkema). 1975. vii + 138 pp . . . . . . 222--225 Alexander Volodarsky Book Review: \booktitleCensus of the exact sciences in Sanskrit: By David Pingree. Series A. Philadelphia (American Philosophical Society). Vol. 1, 1970, 60 p. Vol. 2, 1971, 147 p. Vol. 3, 1976, 208 p . . . . . . . . . . . . . 226--227 Edward A. Maziarz Book Review: \booktitleArts and sciences at Padua: the studium of Padua before 1350: By Nancy G. Sirasi. Toronto (Pontifical Institute of Mediaeval Studies). 1973. 199 p . . . . . . . . . 227--227 Judith R. Goodstein \booktitleRicci and Levi-Civita's tensor analysis paper: Lie Groups: History, Frontiers, and Applications, Volume 2. Translated and edited by Robert Hermann. Brookline, Massachusetts (Math. Sci. Press). 1975. 261 p. paper . . . . . . . 228--228 Thomas Hawkins \booktitleSophus Lie's 1884 differential invariant paper: By Robert Hermann with translations by Michael Ackerman. Brookline, Mass. (Math. Sci. Press). 1976. 281 pp. US \$20} . . . . . . . . . 229--230 Thomas Hawkins Book Review: \booktitleSophus Lie's 1880 transformation group paper: By Robert Hermann with translations by Michael Ackerman. Brookline, Mass. (Math. Sci. Press). 1975. 587 pp. US \$28} . . . . . 229--230 James H. Cassedy Book Review: \booktitleOn the history of statistics and probability: Edited by D. B. Owen. Proceedings of a Symposium on the American Mathematical Heritage to Celebrate the Bicentennial of the United States of America, held at Southern Methodist University, 27--29 May 1974. New York and Basel (Marcel Dekker). 1976. 466 p. Illustrations. Bibliographies. Index . . . . . . . . . 231--232 Pearce Williams Book Review: \booktitleGeorge Green, Miller, Snienton: By R. M. Bowley, L. J. Challis, F. W. Sheard, F. M. Wilkins Jones, and David Phillips. Nottingham (Museum and Art Gallery, The Castle). 1976. 96 p . . . . . . . . . . . . . . . 232--232 Garrett Birkhoff Book Review: \booktitleAdventures of a mathematician: By S. M. Ulam. New York (Scribners). 1976. 317 pp. \$17.50} . . 233--236 H. J. M. Bos Book Review: \booktitleDie Principien der höheren Analysis in ihrer Entwickelung von Leibniz bis auf Lagrange als ein historisch-kritischer Beitrag zur Geschichte der Mathematik Dargestellt: By Hermann Weissenborn. Halle (H. W. Schmidt). 1856. photomechanic reprint (Leipzig, Zentralantiquariat der Deutschen Demokratischen Republik). 1972 . . . . . 236--239 Kenneth O. May Abstracts . . . . . . . . . . . . . . . 240--252
Brendan S. Gillon Introduction, translation, and discussion of Chao Chün--Ch'ing's ``\booktitleNotes to the diagrams of short legs and long legs and of squares and circles'' . . . . . . . . . . . . . 253--293 Anonymous Gauss bicentennial in Göttingen . . . . . 294--294 J. M. Dubbey Babbage, Peacock and modern algebra . . 295--302 Hubert C. Kennedy Karl Marx and the foundations of differential calculus . . . . . . . . . 303--318 Albert C. Leighton Some examples of historical cryptanalysis . . . . . . . . . . . . . 319--337 Anonymous Gauss exhibit in the FRG . . . . . . . . 337--338 Victor S. Albis-González Latin--American translations of Legendre's ``\booktitleÉléments de Géométrie'' . . . . . . . . . . . . . . . 339--340 Anonymous Education . . . . . . . . . . . . . . . 341--343 J. Babini La labor del comité international pour la métrologie historique . . . . . . . . . . 344--345 K.-R Biermann and Horst Sachs Gauss bicentennial activities in the GDR 346--347 Anonymous Aryabhata celebrations at Calcutta . . . 347--350 Anonymous Editorial . . . . . . . . . . . . . . . 349--350 Anonymous Projects . . . . . . . . . . . . . . . . 351--352 Anonymous News and notices . . . . . . . . . . . . 352--352 Charles V. Jones Annual meeting of the Canadian Society for the History and Philosophy of Mathematics/Société Canadienne d'Histoire et de Philosophie des Mathématiques . . . 353--354 Anonymous Book Review: \booktitleThe new elements of mathematics: Volume 1: Arithmetic. Charles S. Peirce. Edited by Carolyn Eisele. The Hague (Mouton Publishers)/Atlantic Highlands, N.J. (Humanities Press). 1976. xl + 250 p. \$29.50} . . . . . . . . . . . . . . . . 355--360 Anonymous Book Review: \booktitleDiocles On Burning Mirrors. The Arabic translation of the lost Greek original: Edited, with English translation and commentary by G. J. Toomer. Berlin, Heidelberg, and New York (Springer-Verlag). 1976. ix + 249 p. 24 plates . . . . . . . . . . . . . . 360--363 Anonymous Book Review: \booktitleA source book in classical analysis: Edited by Garrett Birkhoff with the assistance of Uta Merzbach. Cambridge, Mass. (Harvard University Press). 1973 . . . . . . . . 364--365 Anonymous Book Review: \booktitleThe method of analysis. Its geometrical origin and its general significance: By Hintikka J. & Remes U. Dordrecht-Holland/Boston (D. Reidel Publishing Co.). Boston Studies in the Philosophy of Science vol. XXV/Synthese Library vol. LXXV. 1974. 144 p. . . . . . . . . . . . . . . . . . 366--369 Anonymous Abstracts: Edited by Kenneth O. May . . 371--378
H. S. M. Coxeter Gauss as a geometer . . . . . . . . . . 379--396 Paul J. Campbell Gauss and the Eight Queens Problem: a study in miniature of the propagation of historical error . . . . . . . . . . . . 397--404 Philip P. Chandler The Principia 's theory of the motion of the lunar apse . . . . . . . . . . . . . 405--410 A. T. Grigoryan and A. P. Yushkevich Boris A. Rosenfeld on the 60th anniversary of his birth . . . . . . . . 411--414 M. V. Wilkes Babbage as a computer pioneer . . . . . 415--440 Charles V. Jones A missing table in C. S. Peirce's \booktitleNew Elements of Mathematics, vol. 1 . . . . . . . . . . . . . . . . . 441--442 Warren Weaver Early support for mathematics from Rockefeller agencies . . . . . . . . . . 443--444 M. Bruckheimer and Y. Salomon Some comments on R. J. Gillings' analysis of the $ 2 n $ table in the Rhind Papyrus . . . . . . . . . . . . . 445--452 Anonymous History of mathematics at the Wheaton College Conference ``A Christian Perspective on the Foundations of Mathematics'' 28--30 April 1977 . . . . 452--452 Anonymous Correspondence . . . . . . . . . . . . . 453--454 Anonymous Projects . . . . . . . . . . . . . . . . 454--454 Anonymous Sources . . . . . . . . . . . . . . . . 455--455 Anonymous Education . . . . . . . . . . . . . . . 456--457 Anonymous News and notices . . . . . . . . . . . . 457--457 Anonymous Meetings . . . . . . . . . . . . . . . . 458--458 Kenneth O. May Report of the Commission on the History of Mathematics to the Division of History of the International Union of the History and Philosophy of Science August 1977 . . . . . . . . . . . . . . 459--460 Elizabeth Hodes Book Review: \booktitleThinkers and tinkers: Early American men of science: By Silvio A. Bedini. New York (Charles Scribner's Sons). 1975. xix + 520 pp. 102 plates . . . . . . . . . . . . . . . 461--463 Judith V. Grabiner Book Review: \booktitleMen and institutions in American mathematics: Edited by J. Dalton Tarwater, John T. White, and John D. Miller. Texas Tech University (Graduate Studies, No. 13). 1976. \$5.00} . . . . . . . . . . . . . 464--465 Jed Z. Buchwald Book Review: \booktitleThe kind of motion we call heat, a history of the kinetic theory of gases in the Nineteenth Century: By Stephen G. Brush. Vol. I: Physics and the Atomists. Vol. II: Statistical Physics and Irreversible Processes. Amsterdam-New York-Oxford (North Holland). 1976. xxix + 769 pp. \$83.95} . . . . . . . . . . . . . . . . 466--467 Gregory H. Moore Book Review: \booktitleFrom Frege to Gödel: a source book in mathematical logic, 1879--1931: Edited by Jean van Heijenoort. Cambridge (Harvard University Press). 1971. xi + 660 pp. Second corrected printing . . . . . . . 468--471 Kurt Mòller Pedersen Book Review: \booktitleThomas Hobbes: De homine. Traité de l'homme: Traduction et commentaire par Paul-Marie Maurin. Preface par Vasco Ronchi. Paris (Albert Blanchard). 1974. 204 pp. 30 Frs . . . . 471--472 Phillip S. Jones Book Review: \booktitleThe Renaissance rediscovery of linear perspective: By Samuel Y. Edgerton, Jr. New York (Basic Books, Inc.). 1975. xvii + 206 pp. \$16.50} . . . . . . . . . . . . . . . . 472--474 Harold M. Edwards Book Review: \booktitleErnst Eduard Kummer. Collected papers: Volume I. Contributions to Number Theory. Edited by André Weil. Berlin-Heidelberg-New York (Springer-Verlag). 1975. 957 p . . . . . 475--478 Harold M. Edwards Book Review: \booktitleCourant in Göttingen and New York: By Constance Reid. New York, Heidelberg, Berlin (Springer-Verlag). 1976. 314 pp . . . . 479--480 Frank Harary Book Review: \booktitleGraph theory 1736--1936: By N. L. Biggs, E. K. Lloyd, and R. J. Wilson. Oxford (Clarendon Press). 1976. 239 pp. \$27.85} . . . . . 480--481 Kenneth O. May Abstracts . . . . . . . . . . . . . . . 482--498 Anonymous Index of authors of articles and reviews in volume IV . . . . . . . . . . . . . . 499--499 Anonymous Index of authors of publications reviewed and abstracted in volume IV . . 500--504
Joseph W. Dauben and Laura Roebuck Kenneth O. May, 1915--1977 . . . . . . . 1--2 Stillman Drake A memorial tribute to Kenneth O. May . . 3--12 J. J. Gray Johann Heinrich Lambert, mathematician and scientist, 1728--1777 . . . . . . . 13--41 Wilbur R. Knorr Archimedes and the spirals: the heuristic background . . . . . . . . . . 43--75 Anonymous Education . . . . . . . . . . . . . . . 76--76 Paul J. Campbell The origin of ``Zorn's Lemma'' . . . . . 77--89 Anonymous The 250th anniversary of the death of Newton in Belgrade . . . . . . . . . . . 90--90 Anonymous Gauss bicentennial celebrations at Belgrade . . . . . . . . . . . . . . . . 90--90 Anonymous Spanish society for the history of sciences . . . . . . . . . . . . . . . . 90--90 Carolyn Eisele A comment on C. V. Jones' review of the \booktitleNew Elements . . . . . . . . . 91--92 S. Glushkov An acknowledgement . . . . . . . . . . . 92--92 Hubert Kennedy Correction . . . . . . . . . . . . . . . 92--92 Anonymous Education . . . . . . . . . . . . . . . 93--93 Anonymous Sources . . . . . . . . . . . . . . . . 93--93 Anonymous Meetings . . . . . . . . . . . . . . . . 94--94 Anonymous Institute for the History of Arabic Science, University of Aleppo, Aleppo, Syria . . . . . . . . . . . . . . . . . 95--95 Anonymous New Spanish journal of history of science . . . . . . . . . . . . . . . . 95--95 Anonymous Seki Takakazu zenshu: \booktitleTakakazu Seki's collected works: Edited and explained by A. Hirayama, K. Shimodaira, and H. Hirose. Osaka (Osaka Kyoiku Tosho). 1974. xviii + 852 pp . . . . . . 96--98 Anonymous Nihonjin no sugaku. (Japanese) [Japanese School of Residence] . . . . . . . . . . 99--99 Anonymous Book Review: \booktitleEvolution of mathematical concepts: an elementary study: By Raymond L. Wilder. Paperback reprinting of the 1968 original. London (Transworld). 1974. 216 pp . . . . . . . 99--105 Anonymous Grecheskaya logistika . . . . . . . . . 105--107 Anonymous Book Review: \booktitleVorlesungen über neuere geometrie: By M. Pasch, with an appendix by M. Dehn. Berlin (Grundlehren der math. Wissenschaften, Springer-Verlag). 1926. Reprint 1976 (Springer-Verlag). viii + 275 pp . . . . 107--107 Anonymous Book Review: \booktitleGalileo, two new sciences: By Stillman Drake. Including Centers of Gravity and Force of Percussion. A new translation with introduction and notes. Madison, Wisconsin (The University of Wisconsin Press). 1974. xxvii + 323 pp . . . . . . 107--108 Anonymous Book Review: \booktitleHistoire comparée des numérations écrites: By Genevi\`eve Guitel. Paris (Flammarion). 1975. 857 pp. 48 drawings. 50 plates. 73 tables 108--113 Anonymous Abstracts . . . . . . . . . . . . . . . 114--126 Anonymous Editorial Board . . . . . . . . . . . . ??
I. Grattan-Guinness How Bertrand Russell discovered his paradox . . . . . . . . . . . . . . . . 127--137 Anonymous History at the meetings of the American Mathematical Society and Mathematical Association of America, Atlanta, January 1978 . . . . . . . . . . . . . . . . . . 138--166 Eric G. Forbes The astronomical work of Carl Friedrich Gauss (1777--1855) . . . . . . . . . . . 167--181 D. A. Sprott Gauss's contributions to statistics . . 183--203 Anonymous Publication of new journal beginning in 1976 . . . . . . . . . . . . . . . . . . 204--204 Sabetai Unguru A thirteenth century `proof' of the parallel postulate . . . . . . . . . . . 205--210 Tony Crilly Cayley's anticipation of a generalised Cayley--Hamilton theorem . . . . . . . . 211--219 Anonymous Canadian Society for the History and Philosophy of Mathematics/Société canadienne d'histoire et de philosophie des mathématiques . . . . . . . . . . . . 220--220 R. J. Gillings Response to ``Some comments on R. J. Gillings' analysis of the $ 2 / n $ table in the Rhind Papyrus'' . . . . . . 221--226 Anonymous Addendum . . . . . . . . . . . . . . . . 226--227 Anonymous History of Combinatorics . . . . . . . . 227--227 Donald MacKenzie Workshop on the Sociology of Mathematical Knowledge and the Social history of Mathematics . . . . . . . . . 228--232 Anonymous ``Mathematics and the real world'' a Workshop of the Danish Mathematical Society at Roskilde University Center, Denmark 8--9 August 1978 . . . . . . . . 232--232 Anonymous Monographs in undergraduate mathematics 233--233 Anonymous Five new series in the History of Arabic--Islamic science . . . . . . . . 234--234 Margaret E. Baron Book Review: \booktitleGottfried Wilhelm Leibniz. Mathematischer naturwissenschaftlicher und technischer Briefwechsel. Erster Band: 1672--1676: Edited by J. E. Hofmann and the Leibniz-Archiv der Niedersächsichen Landesbibliothek, Hannover. Berlin, G.D.R. (Akademie-Verlag). 1976. lxxv + 871 pp. (Sämtliche Schriften und Briefe, herausgegeben von der Akademie der Wissenschaften der DDR, Dritte Reihe, Erster Band) . . . . . . . . . . . . . . 234--237 Hubert C. Kennedy Book Review: \booktitleLa matematica come sistema ipotetico-deduttivo, profilo storico: by Silvio Maracchia. Firenze (Felice Le Monnier). 1975. 219 pp. L. 6000 . . . . . . . . . . . . . . 237--239 K. E. Pledger Book Review: \booktitleLes syst\`emes d'équations polynômes dans le Siyuan Yujian (1303): by Jock Hoe. Paris, Coll\`ege de France. Mémoires de l'Institut des hautes études chinoises vol. VI. 1977. 338 pp. Distributed by presses universitaires de France . . . . 239--241 Esther R. Phillips and George W. Phillips Book Review: \booktitleMemoirs [Vospominaniya]: By P. Ya. Kochina. Moscow (Science-Nauka). 1974. 299 pp. One plate . . . . . . . . . . . . . . . 241--245 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 246--251
Ang Tian-Se Chinese interest in right-angled triangles . . . . . . . . . . . . . . . 253--266 E. A. Fellmann Über eine Bemerkung von G. W. Leibniz zu einem Theorem in Newtons \booktitlePrincipia mathematica. (German) [On a remark of G. W. Leibniz on a theorem in Newton's \booktitlePrincipia mathematica] . . . . 267--273 Anonymous Contemporary Scientific Archives Centre, Oxford, England . . . . . . . . . . . . 274--274 Esther R. Phillips Nicolai Nicolaevich Luzin and the Moscow school of the theory of functions . . . 275--305 Anonymous Education . . . . . . . . . . . . . . . 306--306 Ascher Wagner A bibliography of William Burnside (1852--1927) . . . . . . . . . . . . . . 307--312 Gordon M. Fisher Cauchy and the infinitely small . . . . 313--331 E. J. Barbeau Errata and additions . . . . . . . . . . 332--332 M. Folkerts Der Nachlass Axel Anthon Björnbos. (German) [The Legacy of Axel Anthon Björnbos] . . . . . . . . . . . . . . . . 333--339 Albert C. Lewis Establishment of ``The archives of American mathematics'' . . . . . . . . . 340--341 Ernest Stipani\'c History and philosophy of mathematics as a subject of the regular curriculum at the Scientific--Mathematical University of Belgrade . . . . . . . . . . . . . . 342--345 R. Oberlé Le Colloque International Jean Henri Lambert 26--30 Septembre 1977 . . . . . 346--348 K.-R Biermann Colloque International J. H. Lambert la vie, l'oeuvre et l'influence de Jean-Henri Lambert 26--30 Septembre 1977 348--351 D. J. Struik Book Review: \booktitleBriefwechsel zwischen Alexander von Humboldt und Carl Friedrich Gauss: Zum 200. Geburtstag von C. F. Gauss im Auftrage des Gauss-Komitees bei der Akademie der Wissenschaften der DDR, neu herausgegeben durch Kurt-R. Biermann. Berlin (Akademie-Verlag). 1977. 202 p. 36 mark . . . . . . . . . . . . . . . . 352--353 G. J. Tee Book Review: \booktitleThe exhaustive treatise on shadows: By Abu al-Rayh\=an Muhammad b. Ahmad al-B\=\ir\=un\=\i. Translation and Commentary by E. S. Kennedy. Aleppo (Institute for the History of Arabic Science, University of Aleppo). 1976. Volume 1, Translation (xviii + 281 pp.); Volume 2, Commentary (xviii + 223 pp.) . . . . . . . . . . . 354--357 Philip Kitcher Book Review: \booktitleGrössenlehre II. Reine zahlenlehre: Bernard Bolzano: Edited by Jan Berg. Gesamtausgabe. Series II, A8. Stuttgart-Bad Cannstatt (Friedrich Fromm Verlag). 1976 . . . . . 358--363 Micheal S. Mahoney Book Review: \booktitleDoctrine de l'angle solide: By Florimond de Beaune (1601--1652). Edited by Pierre Costabel, transcribed from the original manuscript by Bernard Barbiche, typed by Arlettte Chancrin. Paris (Librairie Philosophique J. Vrin). (Collections des travaux de l'Académie Internationale d'Histoire des Sciences, No. 19). 1975. 157 pp . . . . 363--366 Anthony Hyman Book Review: \booktitleAda, Countess of Lovelace: Byron's legitimate daughter: By Doris Langley Moore. New York (Harper & Row). 1977. \$25.00} . . . . . . . . . 366--367 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 368--377
Judith V. Grabiner The origins of Cauchy's theory of the derivative . . . . . . . . . . . . . . . 379--409 Umberto Bottazzini Ricerche di P. Tardy sui differenziali di indice qualunque, 1844--1868. (Italian) [Research of P. Tardy on differentials of arbitary index, 1844--1868] . . . . . . . . . . . . . . 411--418 Harold M. Edwards On the Kronecker Nachlass [legacy] . . . 419--426 Alkiviadis G. Akritas and Stylianos D. Danielopoulos On the forgotten theorem of Mr. Vincent 427--435 Charles H. Stolze A history of the divergence theorem . . 437--442 Jean-Claude Pont Johann-Heinrich Rehbein: Une voie philosophique vers la topologie . . . . 443--454 Peeter Muü\"rsepp Gauss and Tartu University . . . . . . . 455--459 J. M. Mack Report on a Conference for Secondary Teachers on the History of Mathematics 461--463 James V. Peters A history of mathematics course for undergraduates . . . . . . . . . . . . . 463--464 R. C. Gupta Indian Society for the History of Mathematics . . . . . . . . . . . . . . 465--466 J. J. Gray The British Society for the History of Mathematics . . . . . . . . . . . . . . 467--468 Anonymous Projects . . . . . . . . . . . . . . . . 469--470 Anonymous Boncompagni Archive at Cornell University . . . . . . . . . . . . . . . 470--472 Anonymous Institute for the History of Arabic Science . . . . . . . . . . . . . . . . 472--472 Anonymous AFIPS to publish \booktitleAnnals of the History of Computing . . . . . . . . . . 472--473 J. F. Peters Gottfried Wilhelm Leibniz . . . . . . . 474--474 J. F. Peters With informal thoughts regarding the use and improvement of the German language 474--478 George Saliba Book Review: \booktitleThe Muslim contribution to mathematics, Ali Abdullah Al-Daffa'. Croom Helm and Humanities Press, London and New Jersey (1977), 121 . . . . . . . . . . . . . . 478--479 Garrett Birkhoff Book Review: \booktitleA History of Numerical Analysis from the 16th Through the 19th Century, by Herman H. Goldstine 479--482 Jeremy Gray Gauss und die nicht-euklidische Geometrie . . . . . . . . . . . . . . . 482--483 Eberhard Knobloch Biographien bedeutender Mathematiker, eine Sammlung von Biographien. (German) [Biographies of important mathematician, a collection of biographies] . . . . . . 483--485 Jerzy Neyman About the theory of probability and mathematical statistics . . . . . . . . 485--486 Tord Hall Book Review: \booktitleMathematisches Tagebuch, 1796--1814 von C. F. Gauss . . 486--487 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 488--494 Anonymous Acknowledgement . . . . . . . . . . . . 495--495 Anonymous Index of authors of articles and reviews in volume 5 . . . . . . . . . . . . . . 496--500
Christoph J. Scriba A message to readers of \booktitleHistoria Mathematica from the Chairman of the International Commission on the History of Mathematics . . . . . 1--2 Joseph W. Dauben Note from the editor . . . . . . . . . . 3--4 G. D. Garland The contributions of Carl Friedrich Gauss to geomagnetism . . . . . . . . . 5--29 James W. Tankard, Jr. The H. G. Wells quote on statistics: a question of accuracy . . . . . . . . . . 30--33 Gottfried Gabriel Über einen Gedankenstrich bei Frege, eine Nachlese zur Edition seines wissenschaftlichen Nachlasses. (German) [A dash at Frege, a pickings for the edition of his scientific legacy] . . . 34--35 Teri Perl The \booktitleLadies Diary or \booktitleWoman's Almanack, 1704--1841 36--53 Barbara Moss Beppo Levi and the axiom of choice . . . 54--56 R. L. Wilder Some comments on M. J. Crowe's review of evolution of mathematical concepts . . . 57--62 Anonymous Contemporary Scientific Archives Centre, Oxford, England . . . . . . . . . . . . 62--62 K. W. Smillie An historical approach to computing science . . . . . . . . . . . . . . . . 63--66 Anonymous Conference of the Leningrad Section of the Soviet Association of the History and Philosophy of Science and Technology 67--70 Anonymous Peirce at Vienna in 1979 . . . . . . . . 70--71 Anonymous Seminar on Component of History of Mathematics in Mathematics Curriculum 71--71 Anonymous Mathematics in context --- a workshop 71--72 Anonymous Annals of the history of computing . . . 72--73 Anonymous World directory of the history of mathematics . . . . . . . . . . . . . . 73--73 Anonymous Dissertation completed: Jaina astronomy 73--74 Anonymous Dissertation completed: the history of linear optimalization . . . . . . . . . 74--74 Anonymous Dissertation in progress: Hensel's $p$-adic numbers . . . . . . . . . . . . 74--74 Anonymous Project on the history of mathematics in Canada . . . . . . . . . . . . . . . . . 74--75 N. M. Swerdlow Book Review: \booktitleA history of ancient mathematical astronomy: Studies in the History of Mathematics and Physical Sciences, Vol. 1, in 3 parts. By O. Neugebauer. Berlin/Heidelberg/New York (Springer-Verlag). 1975. 1456 + xxi pp. (incl. figs., plates). \$124.70} . . 76--85 Esther R. Phillips Razvitie ponyattiya integrala. (Russian) [The development of the concept of integral] . . . . . . . . . . . . . . . 85--91 Imre Toth Book Review: \booktitleLobatchevski: By V. F. Kagan. Moscow (Edition Mir). 1974 91--97 Anonymous Abstracts . . . . . . . . . . . . . . . 98--105 Anonymous Notes on contributors . . . . . . . . . 106--107
N. L. Biggs The roots of combinatorics . . . . . . . 109--136 Esther R. Phillips Karl M. Peterson: the earliest derivation of the Mainardi--Codazzi equations and the Fundamental Theorem of Surface Theory . . . . . . . . . . . . . 137--163 Donald Blackmore Wagner An early Chinese derivation of the volume of a pyramid: Liu Hui, third century A.D. . . . . . . . . . . . . . . 164--188 Claudia Zaslavsky Teacher education: Mathematics in other cultures . . . . . . . . . . . . . . . . 189--194 Anonymous Cube puzzle . . . . . . . . . . . . . . 195--196 Hubert Kennedy Towards a biography of James Mills Peirce . . . . . . . . . . . . . . . . . 196--201 Anonymous Dissertation completed: From ENIAC to UNIVAC . . . . . . . . . . . . . . . . . 201--201 Anonymous Publications of James Mills Peirce . . . 201--201 Anonymous Dissertation in progress: Richard Dedekind . . . . . . . . . . . . . . . . 202--202 Anonymous New Journal in the history of mathematics . . . . . . . . . . . . . . 202--203 Anonymous Oral history program in mathematics . . 203--204 Anonymous International Symposium on the Life and Work of Christiaan Huygens 1629--1695: Amsterdam 22--25 August 1979 . . . . . . 204--204 Anonymous Colloquium in honor of Professor Dr. Kurt Vogel . . . . . . . . . . . . . . . 205--205 Anonymous International Study Group on the relation between the history and pedagogy of mathematics . . . . . . . . 205--205 Anonymous British Association for the History of Mathematics . . . . . . . . . . . . . . 205--206 Anonymous History of Mathematics at Macquarie University . . . . . . . . . . . . . . . 206--206 Anonymous Archive for linear algebra and its applications . . . . . . . . . . . . . . 206--207 Anonymous Archive of the School Mathematics Study Group . . . . . . . . . . . . . . . . . 207--208 Anonymous Boncompagni papers in the Library of Trinity College, Dublin . . . . . . . . 209--212 Albert C. Leighton Book Review: \booktitleAn annotated bibliography of cryptography: By David Shulman. Garland Reference Library of the Humanities, Vol. 37 New York/London (Garland Publishing Inc.). 1976. xvi + 372 pp. illus. \$35.00} . . . . . . . . 213--218 F. Smithies Book Review: \booktitleOcherki istorii teorii funktsii deistvitel'nogo peremennogo: (Essays on the history of the theory of functions of a real variable). By F. A. Medvedev. Moscow (Izdatel'stvo Nauka). 1975. 248 pp . . . 218--220 Lam Lay-Yong Book Review: \booktitleWas Pythagoras Chinese? An examination of right triangle theory in ancient China: by Frank J. Swetz and T. I. Kao. Pennsylvania (Pennsylvania State University Press). 1977. 75pp. \$3.95} 221--228 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 229--230 Anonymous Papers to appear in forthcoming issues 231--231
Christoph J. Scriba Heinrich Hermelink in memoriam . . . . . 233--235 Jeremy Gray Non-Euclidean geometry --- a re-interpretation . . . . . . . . . . . 236--258 L. J. Daston D'Alembert's critique of probability theory . . . . . . . . . . . . . . . . . 259--279 Hermann Engels Zur Geschichte der Richardson-Extrapolation. (German) [On the history of Richardson extrapolation] 280--293 I. Grattan-Guinness In memoriam Kurt Gödel: His 1931 correspondence with Zermelo on his incompletability theorem . . . . . . . . 294--304 Ignacio Angelelli ``Class as one'' and ``class as many'' before modern set theory . . . . . . . . 305--309 Francine Abeles Ranking by inversion: a note on C. L. Dodgson . . . . . . . . . . . . . . . . 310--317 Bruce Williamson History of mathematics --- a course outline . . . . . . . . . . . . . . . . 318--320 R. C. Gupta Symposium on History and Philosophy of Mathematical Sciences . . . . . . . . . 320--322 Anonymous International Christoffel symposium . . 322--322 Anonymous Bibliography of Philip Jourdain's works 322--323 Gerald W. Kimble From pebbles to position . . . . . . . . 323--325 Anonymous History and philosophy of logic . . . . 325--326 Anonymous Contemporary Scientific Archives Centre 326--327 Anonymous Book Review: \booktitleRichard Dedekind et les fondements des mathe'matiques: By Pierre Dugac. Préface de Jean Dieudonné. Paris (J. Vrin). 1976. 334. pp . . . . . 328--332 Anonymous Book Review: \booktitleGirolamo Cardano: (1501--1576). By Markus Fierz. Basel/Stuttgart (Birkhaüser). 1977. 140 pp. . . . . . . . . . . . . . . . . . . 332--334 Anonymous Book Review: \booktitleHistory of the department of mathematics of the University of Kansas, 1866--1970: By G. Baley Price. Lawrence, Kansas (Kansas University Endowment Association, The University of Kansas). 1976. xii + 788 pp. (reproduced typescript) . . . . . . 334--336 Anonymous Book Review: \booktitleLes mathematiques arabes (VIII$^e$--XV$^e$ si\`ecles): By Adolf P. Youschkevitch. Translated by M. Cazenave and K. Jaouiche, with preface By R. Taton. Paris (Vrin). 1976 . . . . 337--337 Anonymous Abstracts: Edited by Albert C. Lewis . . 338--345 Anonymous Notes on contributors . . . . . . . . . 346--348 Anonymous Papers to appear in forthcoming issues 349--349
Timothy Lenoir Descartes and the geometrization of thought: the methodological background of Descartes' géométrie . . . . . . . . . 355--379 Cristian Calude and Solomon Marcus and Ionel Tevy The first example of a recursive function which is not primitive recursive . . . . . . . . . . . . . . . 380--384 Walter P. Van Stigt The rejected parts of Brouwer's dissertation on the foundations of mathematics . . . . . . . . . . . . . . 385--404 David A. King Supplementary notes on medieval Islamic multiplication tables . . . . . . . . . 405--417 Roger Fischler A remark on Euclid II, 11 . . . . . . . 418--422 Hubert Kennedy James Mills Peirce and the cult of quaternions . . . . . . . . . . . . . . 423--429 William C. Waterhouse Gauss on infinity . . . . . . . . . . . 430--436 Warren W. Esty Ancient portraits of mathematicians . . 437--441 R. J. Gillings The recto of the Rhind Mathematical Papyrus and the Egyptian mathematical leather roll . . . . . . . . . . . . . . 442--447 Garry J. Tee H. G. Wells and statistics . . . . . . . 447--448 E. Keith Lloyd On the forgotten Mr. Vincent . . . . . . 448--450 M. A. Malik A history of mathematics course for teachers . . . . . . . . . . . . . . . . 450--451 Ubiratan D'Ambrosio History of Ibero--American mathematics 452--453 Anonymous Workshop on the Social History of Mathematics . . . . . . . . . . . . . . 453--457 Anonymous Symposium on the History of Mathematical Methods . . . . . . . . . . . . . . . . 457--458 Anonymous New mathematics journal to accept historical articles . . . . . . . . . . 458--459 Anonymous AFIPS and CBI: a computer history program . . . . . . . . . . . . . . . . 459--459 Boris M. Schein History of non-Euclidean geometry. The development of the concept of geometric space . . . . . . . . . . . . . . . . . 460--464 Ignacio Angelelli Book Review: \booktitleDear Russell--Dear Jourdain. A commentary on Russell's logic, based on his correspondence with Philip Jourdian: By I. Grattan-Guinness. London (Duckworth). 1977. 234 pp . . . . . . . . . . . . . . 464--466 Joseph Needham Book Review: \booktitleA critical study of the Yang Hui Suan Fa: a thirteenth-century Chinese mathematical treatise: By Lam Lay Yong (L. Y. Lam). Singapore (University Press). 1977. xx + 360 pp . . . . . . . . . . . . . . . . . 466--468 Samuel Kotz Book Review: \booktitleFelix Klein and Sophus Lie: By I. M. Yaglom. (In Russian.) Mathematics and Cybernetics, No. 11. Moscow (Znanie). 1977 . . . . . 468--469 Esther R. Phillips Book Review: \booktitleNikolai Ivanovich Fuss: 1755--1826: By V. I. Lysenko. (In Russian.) Moscow (Nauka). 1975. 119 pp 469--472 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 473--479 Anonymous Papers to appear in forthcoming issues 484--484 Anonymous Acknowledgment . . . . . . . . . . . . . 485--485 Anonymous Index of authors of articles and reviews in volume 6 . . . . . . . . . . . . . . 486--486 Anonymous Index of authors of publications reviewed and abstracted in volume 6 . . 487--490 Anonymous Professor Dr. Rer. Nat. Habil. Kurt-Reinhard Biermann: On The Occasion of his 60th Birthday . . . . . . . . . . ??
S. B. Engelsman Lagrange's early contributions to the theory of first-order partial differential equations . . . . . . . . . 7--23 Umberto Bottazzini Algebraische Untersuchungen in Italien, 1850--1863 . . . . . . . . . . . . . . . 24--37 Javad Hamadanizadeh The trigonometric tables of al-Kashi in his \booktitleZij-i Khaqani . . . . . . 38--45 S. L. Segal Helmut Hasse in 1934 . . . . . . . . . . 46--56 Ruth Wallis and Peter Wallis Female Philomaths . . . . . . . . . . . 57--64 Jeremy Gray The history of the concept of a finite-dimensional vector space . . . . 65--70 S. S. Demidov and A. I. Volodarsky Second Summer Conference on the History of Mathematics in the Soviet Union . . . 71--75 Herbert Mehrtens Workshop on the Social History of Mathematics . . . . . . . . . . . . . . 75--79 Anonymous A Workshop on the Growth of Quantum Mechanics . . . . . . . . . . . . . . . 79--80 Anonymous International Study Group on the Relations between the History and the Pedagogy of Mathematics: Activities at I.C.M.E. IV, August 10--16, 1980 . . . . 80--81 Sheldon M. Eisenberg Another approach to a history of mathematics course for undergraduates 82--83 Umberto Bottazzini Tardy's letters and library in Genoa . . 84--85 Anonymous The Kenneth O. May Fellowship in the History of Mathematics, University of Toronto . . . . . . . . . . . . . . . . 86--86 Anonymous Ivor Bulmer-Thomas: Honorary doctor of science . . . . . . . . . . . . . . . . 86--88 Anonymous New journal for the history of mathematics . . . . . . . . . . . . . . 88--88 Anonymous Edition of Charpit's Book Review: \booktitleMémoire of 1784 . . . . . . . . 89--89 Anonymous Materia mathematica . . . . . . . . . . 89--89 Anonymous Note . . . . . . . . . . . . . . . . . . 89--89 Anonymous Dissertation on partial differentiation from Leibniz to Euler . . . . . . . . . 90--90 Anonymous Research project ``On the relationship between the process of science and the process of education --- described by the example of the development of mathematics in the 19th century'' . . . 90--91 Anonymous Thesis: a treatise devoted to the theory of conic sections . . . . . . . . . . . 91--91 I. Grattan-Guinness Book Review: \booktitleThe paradoxes of the theory of sets and dialectic: By I. N. Burova. Moscow (Nauka). 1976. 176pp. 62 Kopecks . . . . . . . . . . . . . . . 92--93 G. Baley Price Book Review: \booktitleA history of the mathematics departments of the University of Colorado: By Burton W. Jones and Wolfgang Thron. Copyright 1979 by the Mathematics Department, University of Colorado, Boulder, Colorado. viii + 102 pages. Paperbound 93--95 Harols M. Edwards Book Review: \booktitleVariationen über ein zahlentheoretisches Thema von C. F. Gauss: By H. Pieper. Basel and Stuttgart (Birkhäuser). 1978 . . . . . . . . . . . 95--96 David Pingree Book Review: \booktitleThe arithmetic of al-Uqlidisi: By A. S. Saidan. Dordrecht/Boston (Reidel). 1978. xvii + 492 pp . . . . . . . . . . . . . . . . . 97--98 Philip C. Enros Book Review: \booktitleThe mathematical work of Charles Babbage: By John Michael Dubbey. New York/London (Cambridge University Press). 1978. viii + 235 pp. \$26.50} . . . . . . . . . . . . . . . . 98--100 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 101--107 Anonymous Notes on contributors . . . . . . . . . 108--110 Anonymous Papers to appear in forthcoming issues 111--111 Anonymous Viggo Brun in memoriam (1885--1978) . . ??
Hans Freudenthal Huygens' foundations of probability . . 113--117 Donald W. Robinson Gauss and generalized inverses . . . . . 118--125 R. C. Gupta Bibhutibhusan datta (1888--1958), historian of Indian mathematics . . . . 126--133 Bernard R. Goldstein Solar and lunar velocities in the Alfonsine Tables . . . . . . . . . . . . 134--140 Roy N. Lokken Discussions on Newton's infinitesimals in Eighteenth-Century Anglo--America . . 141--155 S. B. Russ A translation of Bolzano's paper on the Intermediate Value Theorem . . . . . . . 156--185 Beatrice Lumpkin The Egyptians and Pythagorean triples 186--187 Teri Hoch Perl Women and mathematics in the late 18th century: a query . . . . . . . . . . . . 188--189 Kurt-R. Biermann Apropos Briefwechsel A. v. Humboldts mit C. F. Gauss. (German) [On correspondence of A. v. Humboldt with C. F. Gauss] . . 189--190 Anonymous History of Logic Conference . . . . . . 191--192 Anonymous XVIth International Congress of the History of Science . . . . . . . . . . . 192--193 Anonymous Fourth International Congress on Mathematical Education . . . . . . . . . 193--193 Anonymous British Society for the History of Mathematics . . . . . . . . . . . . . . 193--194 Anonymous Dissertations on Arabic versions of Euclid's \booktitleElements . . . . . . 195--195 Anonymous Dissertation on a treatise on the theory of conic sections . . . . . . . . . . . 195--196 Anonymous Dissertation on contributions of Gyula 196--196 Anonymous Study of American women in mathematics 196--196 Anonymous In memoriam: [Helmut Haase (1898--1979)] 197--197 Anonymous A new history of mathematics journal . . 197--197 Anonymous Société Française d'Histoire des Sciences et des Techniques . . . . . . . . . . . 198--198 Anonymous World directory of the history of mathematics . . . . . . . . . . . . . . 198--198 Nicholas H. Steneck Book Review: \booktitleWitelonis perspectivae liber primus: (Book I of Witelo's Perspectiva). An English Translation with Introduction and Commentary and Latin Edition of the Mathematical Book of Witelo's Perspectiva. By Sabetai Unguru. Wroclaw (The Polish Academy of Sciences). 1977. Studia Copernicana, Vol. 15. 330 pp., 12 plates . . . . . . . . . . . . . . . . . 199--200 Ian Mueller Book Review: \booktitleVon Eudoxos zu Aristoteles. Das Fortwirken der eudoxischen Proportionentheorie in der aristotelischen Lehre vom Kontinuum: (Studien zur Antiken Philosophie, Bd. 8). By Hans-Joachim Waschkies. Verlag B. R. Grüner, 1977. 453 pp. Hfl. 90 . . . . 200--210 James H. Cassedy Book Review: \booktitleThe history of statistics in the 17th and 18th centuries against the changing background of intellectual, scientific and religious thought: Lectures by Karl Pearson given at University College, London, during the academic sessions 1921--1933. Edited by E. S. Pearson. New York, Macmillan, 1978. xix, 744 pp . . . 210--212 Eberhard Knobloch Book Review: Ian Hacking: \booktitlethe emergence of probability: Cambridge. 1975. 209 pp. . . . . . . . . . . . . . 212--216 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 217--224 Anonymous Notes on contributors . . . . . . . . . 225--227 Anonymous Papers to appear in forthcoming issues 228--228
Roger H. Stuewer Erwin N. Hiebert . . . . . . . . . . . . 229--233 Lorraine J. Daston Probabilistic expectation and rationality in classical probability theory . . . . . . . . . . . . . . . . . 234--260 Joseph W. Dauben Mathematicians and World War I: the international diplomacy of G. H. Hardy and Gösta Mittag-Leffler as reflected in their personal correspondence . . . . . 261--288 Thomas Hawkins Non--Euclidean geometry and Weierstrassian mathematics: the background to Killing's work on Lie algebras . . . . . . . . . . . . . . . . 289--342 Joan L. Richards The art and the science of British algebra: a study in the perception of mathematical truth . . . . . . . . . . . 343--365 Anonymous Notes on contributors . . . . . . . . . 366--366 Anonymous Papers to appear in forthcoming issues 367--367
Frank Williamson, Jr. Richard Courant and the finite element method: a further look . . . . . . . . . 369--378 G. C. Smith Thomas Bayes and fluxions . . . . . . . 379--388 Harvey W. Becher Woodhouse, Babbage, Peacock, and Modern Algebra . . . . . . . . . . . . . . . . 389--400 Mohammad Yadegari The binomial theorem: a widespread concept in medieval Islamic mathematics 401--406 Lam Lay-Yong The Chinese connection between the Pascal triangle and the solution of numerical equations of any degree . . . 407--424 Jean-Paul Pier Historique de la notion de compacité . . 425--443 Jeremy Gray A note on Karl M. Peterson . . . . . . . 444--444 Anonymous An unpublished manuscript of Hans Rademacher . . . . . . . . . . . . . . . 445--446 Anonymous Cahiers du séminaire d'histoire des mathématiques de Paris . . . . . . . . . 447--447 Anonymous Book Review: \booktitleG. W. Leibniz, Sämtliche Schriften und Briefe . . . . . 448--448 Warren Van Egmond Book Review: \booktitlePiero dell Francesca's mathematical treatises: the ``trattato d'abaco'' and ``libellus de quinque corporibus regularibus'': By Margaret Daly Davis. Ravenna (Longo Editore). 1977 xxii + 135 pp., 36 plates. Lit 8000 . . . . . . . . . . . . 449--451 Louis L. Bucciarelli Book Review: \booktitleWomen and mathematics, science and engineering. A partially annotated bibliography with emphasis on mathematics and with references on related topics: By Else Hòyrop. Roskilde University Library, Denmark. 1978 . . . . . . . . . . . . . 451--451 B. L. van der Waerden Book Review: \booktitleVom logos zur analogie. Die Geschichte eines mathematischen Terminus: Von Thekal Horovitz. Zürich (Hans Rohr). 1978 . . . 452--452 David Shulman Book Review: \booktitleUnited States diplomatic codes and ciphers 1775--1938: By Ralph E. Weber. Chicago. xviii + 633 pp. Illus. \$49.95} . . . . . . . . . . 452--454 Garrett Birkhoff Book Review: \booktitleDie entstehung der verbandsteorie: By Herbert Mehrtens. Hildesheim (Gerstenberg Verlag). 1979. ix + 363 pp. 42 DM . . . . . . . . . . . 454--457 G. J. Toomer Book Review: \booktitleThe translation of the \booktitleElements of Euclid from the Arabic into Latin by Hermann of Carinthia: Books VII--XII. Edited by H. L. L. Busard. (Mathematical Centre Tracts 84). Amsterdam (Mathematische Centrum). 1977. 198 pp. . . . . . . . . 457--458 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 459--467 Anonymous Erratum . . . . . . . . . . . . . . . . 468--468 Anonymous Acknowledgment . . . . . . . . . . . . . 469--469 Anonymous Notes on contributors . . . . . . . . . 470--471 Anonymous Papers to appear in forthcoming issues 472--472 Anonymous Index of authors of articles and reviews involume 7 . . . . . . . . . . . . . . . 473--473 Anonymous Index of authors of publications reviewed and abstracted in volume 7 . . 474--477
Don Engelberg and Michael Gertner A marginal note of Mersenne concerning the ``Galileian spiral'' . . . . . . . . 1--14 B. Rang and W. Thomas Zermelo's discovery of the ``Russell Paradox'' . . . . . . . . . . . . . . . 15--22 Helena M. Pycior George Peacock and the British origins of symbolical algebra . . . . . . . . . 23--45 Grazyna Rosi\'nska Tables trigonométriques de Giovanni Bianchini . . . . . . . . . . . . . . . 46--55 H. Howard Frisinger The solution of a famous two-centuries-old problem: the Leonhard Euler--Latin square conjecture . . . . . 56--60 Anonymous Education . . . . . . . . . . . . . . . 61--66 S. B. Engelsman Tagung ``Geschichte des Mathemetik'' im mathematischen Forschungsinstitut Oberwolfach. (German) [Conference on ``History of Mathematics'' in the Mathematical Research Institute in Oberwolfach] . . . . . . . . . . . . . . 67--79 Anonymous News and notices . . . . . . . . . . . . 80--80 Anonymous Book Review: \booktitleDidaktik der mathematik: Herausgegeben von Hans-Georg Steiner. (Wege der Forschung, Band CCCLXI.) Darmstadt (Wissenschaftliche Buchgesellschaft). 1978. xlviii + 478 pp. . . . . . . . . . . . . . . . . . . 81--85 Anonymous Book Review: \booktitleThe bicentennial tribute to American mathematics, 1776--1976: Edited by Dalton Tarwater. The Mathematical Association of America. 1977. viii + 225 pp . . . . . . . . . . 85--90 Anonymous Book Review: \booktitleVito Vol'terra (Vito Volterra): By E. M. Polishchuk. Leningrad (Izdatel'stvo Nauka, Leningradskoe Otdelenie). 1977. 116 pp 90--92 Anonymous Book Review: \booktitleHistory of analysis: Edited by R. J. Stanton and R. O. Wells, Jr. Houston, Texas (Rice University), 1977. Rice University Studies, Volume 64, Numbers 2 and 3. iii + 228 pp. No price stated . . . . . . . 92--93 Anonymous Book Review: George E. Andrews: \booktitlePartitions: Yesterday and today: New Zealand Mathematical Society. 1979. 56 pp . . . . . . . . . . . . . . 94--95 Anonymous Book Review: \booktitleProceedings of the First International Symposium for the History of Arabic Science, April 5--12, 1976. Volume II: Papers in European Languages: Edited by A. Y. al-Hassan, G. Karmi, and N. Namnum. Aleppo (Institute for the History of Arabic Science); 1978. 365 pp . . . . . 95--97 Anonymous Book Review: \booktitleChapters in the recent history of mathematics: Special issue of \booktitleNieuw Archief voor Wiskunde on the occasion of the bicentennial celebration of the Wiskundig Genootschap, 1778--1978. Amsterdam, Mathematisch Centrum, 1978, vi + 230 pp. illus . . . . . . . . . . . 97--99 Anonymous Book Review: \booktitleImre Lakatos, proofs and refutations. The logic of mathematical discovery: Edited by John Worrall and Elie Zahar. Cambridge University Press, New York and London. 1976. xii + 154 pp. + bibliography + name and subject indexes. Cloth \$22.50; paper, \$5.25 . . . . . . . . . . . . . 99--104 Anonymous Book Review: \booktitleStoria della teoria delle equazioni algebrice: By Raffaela Franci and Laura Toti Rigetelli. U. Mussia, Milan, 1979. 159 pp . . . . . . . . . . . . . . . . . . . 104--105 Anonymous Book Review: \booktitleSocialist mathematics education: Edited by Frank J. Swetz. 1978. Burgundy Press, Southampton, PA . . . . . . . . . . . . 106--106 Anonymous Book Review: \booktitleGeschichte Der Elementarmathematik: Band 1: Arithmetik und Algebra, 4th ed. By Johannes Tropfke. Edited by Kurt Vogel, Karin Reich, Helmuth Gericke. Berlin/New York; Walter de Gruyter, 1979. xiv + 742 pp. DM 184 . . . . . . . . . . . . . . . . . 106--109 Anonymous Abstracts: Edited by Albert C. Lewis . . 110--118 Anonymous Erratum . . . . . . . . . . . . . . . . 119--119 Anonymous Notes on contributors . . . . . . . . . 120--123 Anonymous Papers to appear in forthcoming issues 124--124
G. L. Cohen and A. G. Shannon John Ward's method for the calculation of pi [$ \pi $ ] . . . . . . . . . . . . 133--144 Steven L. Jordan American attempts to solve Newton's pasturage problem . . . . . . . . . . . 145--160 Victor J. Katz The history of differential forms from Clairaut to Poincaré . . . . . . . . . . 161--188 Anonymous The First Australian Conference on the history of mathematics . . . . . . . . . 189--190 Charles Mollan Perspectives in the History and Philosophy of Science . . . . . . . . . 190--190 Louis Charbonneau Congr\`es annuel, Canadian Society for the History and Philosophy of Mathematics/Société canadienne d'histoire et de philosophie des mathematiques . . 191--192 Charles V. Jones Annual meeting of the History of Science Society, 1980 . . . . . . . . . . . . . 192--194 Anonymous News and notices . . . . . . . . . . . . 195--195 Anonymous Doctoral dissertation: Bertrand Russell and the paradoxes of set theory . . . . 196--196 Anonymous Dissertation in progress: David Hilbert 196--196 Anonymous World War II history planned . . . . . . 197--197 Anonymous Centro studi per la matematica medioevale . . . . . . . . . . . . . . . 198--198 Anonymous Book Review: \booktitleDa Cardano a Galois: Momenti di storia dell'Algebra: By Silvio Maracchia. Milano (Feltrinelli), 1979. 240 pp. \pounds 6500 . . . . . . . . . . . . . . . . . . 199--200 Anonymous Book Review: \booktitleLa théorie générale de l'équilibre et du mouvement des systems: By Louis Poinsot. Edition critique et commentarires par Patrice Bailhache J. Vrin 1975 . . . . . . . . . 200--202 Anonymous Die Berliner und die Petersburger Akademie der Wissenschaften im Briefwechsel Leonhard Eulers, Teil III 202--205 Anonymous Book Review: \booktitleWittgenstein's lectures on the foundations of mathematics: (Cambridge, 1939). From the notes of R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Edited by Cora Diamond. Ithaca, N.Y. (Cornell University Press). 1976. 300 pp . . . . . . . . . . . . . . 205--207 Anonymous Book Review: \booktitleFrantsuzskaya shkola teorii funktsi\uì i mnozhestv, na rubezhe XIX--XX VV: [The French School of the Theory of Functions and Sets at the Turn of the XIX--XX Centuries]. By F. A. Medvedev. Moscow (Nauka). 1976. 231 pp . . . . . . . . . . . . . . . . . 208--211 Anonymous Book Review: \booktitleMatematika XIX veka. Matematicheskaya logika. Algebra. Teoriya chisel. Teoriya veroyatnostei: Edited by A. N. Kolmogorov and A. P. Yushkevich. Moscow (Nauka). 1978. 155 pp. 2 roubles, 40 kopecks . . . . . . . 212--213 Anonymous Book Review: \booktitleHistoire du theoreme des accroissements finis: By Pierre Dugac. Paris (Université Pierre et Marie Curie). 1979. 60 pp., reproduced typescript . . . . . . . . . . . . . . . 214--219 Anonymous Book Review: \booktitleLimite, point d'accumulation, compact: By Pierre Dugac. Paris (Université Pierre et Marie Curie). 1980. 80 pp., reproduced typescript . . . . . . . . . . . . . . . 214--219 Anonymous Abstracts: Edited by Albert C. Lewis . . 220--228 Anonymous Erratum . . . . . . . . . . . . . . . . 229--229 Anonymous Notes on contributors . . . . . . . . . 230--232 Anonymous Papers to appear in forthcoming issues 233--233 Anonymous A. I. Markushevich as a historian of mathematics . . . . . . . . . . . . . . ??
Paul L. Butzer An outline of the life and work of E. B. Christoffel (1829--1900) . . . . . . . . 243--276 Jöran Friberg Methods and traditions of Babylonian mathematics: Plimpton 322, Pythagorean Triples, and the Babylonian Triangle Parameter Equations . . . . . . . . . . 277--318 Gregory H. Moore and Alejandro Garciadiego Burali-Forti's paradox: a reappraisal of its origins . . . . . . . . . . . . . . 319--350 R. C. Gupta Fourth Annual Conference of the Indian Society for History of Mathematics . . . 351--355 Steven Turner Epistemological and social problems of the development of the sciences in the early 19th century . . . . . . . . . . . 355--357 R. Tobies IV. Tagung der Fachsektion Geschichte, Philosophie und Grundlagen der Mathematik der Mathematischen Gesellschaft der DDR. (German) [IVth Meeting of the History Section, Philosophy and the Mathematical Foundations of Mathematics Society of DDR] . . . . . . . . . . . . . . . . . . 358--360 Anonymous History of mathematics as a resource for mathematics teaching: a seminar . . . . 361--361 Anonymous World directory of historians of mathematics . . . . . . . . . . . . . . 362--362 Anonymous A new journal in the history of mathematics . . . . . . . . . . . . . . 363--363 Edith Sylla Book Review: \booktitlePractical geometry in the high middle ages: \booktitleArtis culuslibet consummatio and the pratike de geometrie: Edited with translation and commentary by Stephen K. Victor. Philadelphia (The American Philosophical Society). 1979. Memoirs, Vol. 134. xii + 638 pp., illustrated, indices of technical terms 364--367 Thomas Hawkins Book Review: \booktitleGeorg Cantor. His mathematics and philosophy of the infinite: By Joseph Warren Dauben. Cambridge, Mass./London (Harvard University Press). 1979. ix + 404 pp. \$27.50} . . . . . . . . . . . . . . . . 368--375 Erwin Heibert Book Review: \booktitleSadi Carnot et l'essor de la thermodynamique: Table Ronde du Centre National de la Recherche Scientifique. Paris, École Polytechnique, 11--13 juin 1974. Paris (Éditions du Centre National de la Recherche Scientifique). 1976. 435 pp . . . . . . 375--377 John Dillon Book Review: \booktitleDie Pythagoreer: Religiöse Bruderschaft und Schule der Wissenschaft: By B. L. van der Waerden. Zurich and Munich (Artemis-Verlag). 1979. 505 pp . . . . . . . . . . . . . . 377--378 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 379--383 Anonymous Papers to appear in forthcoming issues 387--387 Anonymous Ettore Carruccio --- The man and the scientist . . . . . . . . . . . . . . . ??
Isabella G. Bashmakova Arithmetic of algebraic curves from Diophantus to Poincaré . . . . . . . . . 393--416 Jan P. Hogendijk How trisections of the angle were transmitted from Greek to Islamic geometry . . . . . . . . . . . . . . . . 417--438 Edward R. Hogan Theodore Strong and ante-bellum American mathematics . . . . . . . . . . . . . . 439--455 Richard J. Gillings The Egyptian Mathematical Leather Role --- Line 8. How did the scribe do it? 456--457 Christoph J. Scriba Wie kommt ``Napoleons Satz'' zu seinem Namen?. (German) [How does ``Napoleon's set'' get its name?] . . . . . . . . . . 458--459 S. B. Engelsman Tagung ``Geschichte des Mathemetik'' im mathematischen Forschungsinstitut Oberwolfach. (German) [Conference on ``History of Mathematics'' in the Mathematical Research Institute in Oberwolfach] . . . . . . . . . . . . . . 460--472 Philip Kitcher Book Review: \booktitleSur les fondements de l'analyse au XIX$^e$ si\`ecle: By Pierre Dugac. Université Catholique de Louvain. 1980. 179 pp . . 473--476 Helena Pysior Book Review: \booktitleStudies in the scientific and mathematical philosophy of Charles S. Peirce: Essays by Carolyn Eisele: Edited by R. M. Martin. Studies in Philosophy, No. 29. The Hague/Paris/New York (Mouton Publishers), 1979. xii + 386 pp. 96 DM 477--481 Dirk J. Struik Elwin Bruno Christoffel: 10 November 1829, Monschau; 5 März 1900, Strassburg; Professor den Mathematik in Zürich, Berlin und Strassburg. Gedenkschrift zur 150. Wiederkehr des Geburtstages. Heimatblätter des Kreises Aachen 34/35 Jahrgang. 1978-3/4, 1979--1. 20 pp . . . 481--482 Ivor Bulmer-Thomas Book Review: \booktitleGreek mathematics and the architects to Justinian: by John Warren. London (Coach Publishing, 102 St. Paul's Road, London Nl; Exclusive distributor, ISBS Inc., P. O. Box 555, Forest Grove, OR 97116, U.S.A.). 1976. Paper cover. 14 pp. 11 plans and illustrations. \pounds 1.00 . . . . . . 482--485 Otto Volk Book Review: \booktitleBriefwechsel zwischen Alexander von Humboldt und Heinrich Christian Schumacher: Von Kurt R. Biermann. Zum 200. Geburtstag von H. Ch. Schumacher. Beiträge zur Alexander-von-Humboldt-Forschung, Schriftenreihe der Alexander-von-Humboldt-Forschungsstelle der Akademie der Wissenschaften der DDR, Band 6, 192 S. mit 4 Tafeln. Berlin (Akademie-Verlag). 1979 . . . . . . . . 485--487 Lorraine J. Daston Book Review: \booktitleI. J. Bienayme. Statistical theory anticipated: By C. C. Heyde and E. Seneta. Studies in the History of Mathematics and the Physical Sciences (3). Berlin (Springer-Verlag). 1977. ix + 172 pp. \$20.80} . . . . . . 487--488 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 489--493 Anonymous Papers to appear in forthcoming issues 496--496 Anonymous Acknowledgment . . . . . . . . . . . . . 497--497 Anonymous Index of authors of articles and reviews in volume 8 . . . . . . . . . . . . . . 498--498 Anonymous Index of authors of publications reviewed and abstracted in volume 8 . . 499--502 Anonymous Isabella Grigoryevna Bashmakova on the occasion of her 60th birthday . . . . . ??
Esther Portnoy Riemann's contribution to differential geometry . . . . . . . . . . . . . . . . 1--18 Jens Hòyrup Investigations of an early Sumerian division problem, c. 2500 B.C. . . . . . 19--36 Louise S. Grinstein and Paul J. Campbell Anna Johnson Pell Wheeler: Her life and work . . . . . . . . . . . . . . . . . . 37--53 Dirk J. Struik Minoan and Mycenaean numerals . . . . . 54--58 A. J. Crilly The British Society for the History of Mathematics Pembroke College, Oxford, September 1981 . . . . . . . . . . . . . 59--60 Tito Tonietti A research proposal to study the formalist and intuitionist mathematicians of the Weimar Republic 61--64 I. Grattan-Guinness and S. Engelsman The manuscripts of Paul Charpit . . . . 65--75 Raffaella Franci and Laura Toti Rigatelli Unpublished writings of Giuseppe S. Verzaglia . . . . . . . . . . . . . . . 76--77 Rossella Vagaggini A manuscript by Teofilo Gallaccini in the Siena municipal library . . . . . . 78--80 Gunhard A. E. Oravas Book Review: \booktitleGeschichte der mechanischen Prinzipien und ihrer wichtigsten Anwendungen: By István Szabó. Basel and Stuttgart (Birkhäuser Verlag), 1977. xv + 491 pp . . . . . . . . . . . 81--94 Joan L. Richards Book Review: \booktitleIdeas of space: By Jeremy Gray. New York/London (Oxford University Press (Clarendon)) 1980. 216 pp. \$49.50} . . . . . . . . . . . . . . 95--97 Bernard R. Goldstein Book Review: \booktitleLes instruments de la théorie des planetes selon Ptolemee: Équatoires et horologerie planétaire du XIII$^e$ au XVI$^e$ si\`ecle: By Emmanuel Poulle. Geneva (Librairie Droz). 1980. 2 vol. 1162 pp. 208 figures. 70 plates. 400 FF . . . . . 97--99 Dirk J. Struik Book Review: \booktitleTwo decades of mathematics in the Netherlands 1920--1940. A retrospection on the occasion of the bicentennial of the Wiskundig Genootschap: Edited by E. M. J. Bertin, H. J. M. Bos, and A. W. Grootendorst. Part I, xxiv + 193 pp.; Part II, pp. 195-379. Amsterdam (Mathematical Centre). 1978 . . . . . . 99--100 Richard D. McKirahan, Jr. Book Review: \booktitleTheon of Smyrna. Mathematics useful for understanding Plato: Translated from the 1892 Greek/French edition of J. Dupuis by Robert and Deborah Lawlor and edited and annotated by Christos Toulis and others. Secret Doctrine Reference Series. San Diego, CA (Wizards Bookshelf). 1970. ISBN 0-913510-24-6. xvi + 174 pp. \$11.95} . . . . . . . . . . . . . . . . 100--104 N. T. Gridgeman Book Review: \booktitleR. A. Fisher. The life of a scientist: By Joan Fisher Box. New York (John Wiley & Sons), 1978. xii + 512 pp. Illustrated . . . . . . . . . . 104--106 I. Bernard Cohen Book Review: \booktitleThe library of Isaac Newton: By John Harrison. Cambridge, London, New York, Melbourne (Cambridge University Press), 1978. xiv + 286 pp. \$62.50} . . . . . . . . . . . 106--109 Margaret E. Baron Book Review: \booktitleDie mathematischen studien von G. W. Leibniz zur kombinatorik: Studia leibnitiana supplementa: Vol. XI. By Eberhard Knobloch. Wiesbaden (Franz Steiner Verlag). 1973. 277 + xvi pp., 2 plates 109--113 Margaret E. Baron Book Review: \booktitleDie mathematischen studien von G. W. Leibniz zur kombinatorik: Textband: Studia leibnitiana supplementa: Vol. XVI. By Eberhard Knobloch. Wiesbaden (Franz Steiner Verlag). 1976. 339 + xii pp., 2 plates . . . . . . . . . . . . . . . . . 109--113 J. F. Peters Book Review: \booktitleLeibniz \`a Paris (1672--1676): Symposium of the G. W. Leibniz-Society (Hannover) and of the National Center for Scientific Research (Paris), at Chantilly (France), 14--18 November 1976. Studia Leibnitiana Supplementa, Vol. XVII. (t. 1): Les sciences. Edited by A. Heinekamp and D. Metter. Wiesbaden, Franz Steiner Verlag, 1978. 242 pp. . . . . . . . . . . . . . 113--123 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 124--127 Anonymous Notes on contributors . . . . . . . . . 128--131 Anonymous Papers to appear in forthcoming issues 132--132
Wilbur Knorr Techniques of fractions in ancient Egypt and Greece . . . . . . . . . . . . . . . 133--171 G. C. Smith Matthew O'Brien's anticipation of vectorial mathematics . . . . . . . . . 172--190 Karsten Johnsen Bemerkungen zu einer Tagebuchnotiz von Carl Friedrich Gauss. (German) [Comments on a diary of Carl Friedrich Gauss] . . 191--194 Anthony T. Winterbourne Algebra and pure time: Hamilton's affinity with Kant . . . . . . . . . . . 195--200 Anonymous Education . . . . . . . . . . . . . . . 201--205 Anonymous History of mathematics at the XVIth International Congress of the History of Science, Bucharest, Romania, August 26--September 3, 1981 . . . . . . . . . 206--206 Christoph J. Scriba International commission on the history of mathematics: Business Meeting Bucharest, Romania, September 1, 1981 207--208 Christoph J. Scriba International commission on the history of mathematics: Report to the Division of History of the International Union of History and Philosophy of Science August 1981 . . . . . . . . . . . . . . . . . . 209--210 Joseph W. Dauben International commission on the history of mathematics: Report of the Editor of Historia Mathematica to the International Commission on the History of Mathematics . . . . . . . . . . . . . 211--215 Anonymous History of mathematics papers presented at the XVIth International Congress of the History of Science, Bucharest, Romania, 1891 . . . . . . . . . . . . . 216--220 Pierre Dugac Hommage \`a Poisson du congrés de Bucarest et de l'École Polytechnique de Paris . . . . . . . . . . . . . . . . . 221--222 Anonymous The first symposium on the history of mathematics in China . . . . . . . . . . 223--225 Anonymous Seminario de historia de la ciencia y de la técnica de Aragón (Spanish) [Seminar on the history of science and technology of Aragon] . . . . . . . . . . . . . . . . 226--226 Anonymous News and notices . . . . . . . . . . . . 227--227 Anonymous Projects . . . . . . . . . . . . . . . . 228--228 Anonymous Volterra Archive at the Accademia nazionale dei lincei . . . . . . . . . . 229--238 Anonymous Book Review: \booktitleEpistemological and social problems of the sciences in the early Nineteenth Century: Edited by H. N. Jahnke and M. Otte. Boston (Reidel). 1981. 420 pp . . . . . . . . . 239--245 Anonymous Book Review: \booktitleIt seems I am a jew: By Grigori Freiman. Translated, edited, and with an introduction by Melvyn B. Nathanson, Carbondale (Southern Illinois University Press). 1980. 97 pp. \$9.95} . . . . . . . . . . 245--247 Anonymous Book Review: \booktitleThe emergence of number: By John N. Crossley. Victoria, Australia (Upside Down A Book Company). 1980. 376 pp. Paper. A \$14.50 + A \$2.50 p. & P . . . . . . . . . . . . . . 247--251 Anonymous Book Review: \booktitleProlegomena alle ``vite dei matematici'' di Bernardino Baldi (1587--1596): (Accademia Polacca delle Scienze. Biblioteca e Centro di Studi a Roma: Conferenze e Studi 71). By Bronislaw Bilinski. Wroclaw, 1977. 135 pp. Zloty 38 . . . . . . . . . . . . . . 251--252 Anonymous Abstracts . . . . . . . . . . . . . . . 253--259 Anonymous Notes on contributors . . . . . . . . . 260--261 Anonymous Papers to appear in forthcoming issues 262--262
James B. Freeman Preface . . . . . . . . . . . . . . . . 263--264 Max H. Fisch Peirce's place in American life . . . . 265--289 Hilary Putnam Peirce the logician . . . . . . . . . . 290--301 Ernest Nagel Charles Peirce's place in philosophy . . 302--310 Joseph W. Dauben Peirce's place in mathematics . . . . . 311--325 Kenneth Laine Ketner Carolyn Eisele's place in Peirce studies 326--332 Carolyn Eisele Mathematical methodology in the thought of Charles S. Peirce . . . . . . . . . . 333--341 Anonymous Israel colloquium founded . . . . . . . 342--342 Anonymous A mathematical manuscript of the XIV century . . . . . . . . . . . . . . . . 343--343 Garry J. Tee Charles Babbage materials in New Zealand and Australia . . . . . . . . . . . . . 344--345 Isabella G. Bashmakova and A. N. Kolmogorov and A. I. Markushevitch and A. N. Parshin and A. P. Youshkevitch Book Review: \booktitleAbrégé d'histoire des mathématiques, 1700--1900: Edited by J. Dieudonné. I. Alg\`ebre, analyse classique, théorie des nombres. II. Fonctions elliptiques, analyse fonctionnelle, géométrie différentielle, topologie, probabilités, logique mathématique. Sous la direction de J. Dieudonné, de l'Institut. Avec la collaboration de P. Dugac, W. J. et Fern Ellison, J. Guérindon, M. Guillaume, G. Hirsch, C. Houzel, Paulette Libermann, M. Lo\`eve, et J.-L. Verley. Paris (Hermann), 1978. x + 385, vii + 472 . . 346--360 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 361--367 Anonymous Papers to appear in forthcoming issues 371--371
Jesper Lützen Joseph Liouville's contribution to the theory of integral equations . . . . . . 373--391 Helena M. Pycior Early criticism of the symbolical approach to algebra . . . . . . . . . . 392--412 Erhard Scholz Herbart's influence on Bernhard Riemann 413--440 Gert Schubring Ansätze zur begründung theoretischer terme in der mathematik-Die theorie des unendlichen bei Johann Schultz . . . . . 441--484 Anonymous The life and work of Charles Babbage . . 485--485 Anonymous Erratum . . . . . . . . . . . . . . . . 486--486 Anonymous Workshop in the preparation of historical material for classroom use 486--486 Anonymous A plane request . . . . . . . . . . . . 487--487 Anonymous Dissertation in progress . . . . . . . . 488--488 Gregory H. Moore Book Review: \booktitleA half century of Polish mathematics: Remembrances and reflections: By Kazimierz Kuratowski. Preface by Stanislaw Ulam. Oxford (Pergamon) and Warsaw (PWN, Polish Scientific Publishers). 1980. viii + 200 pp. 72 photographs . . . . . . . . . . . 489--495 Gregory H. Moore Book Review: \booktitleWaclaw Sierpi\'nski: Oeuvres choisies: Edited by Stanislaw Hartman, Kazimierz Kuratowski, Edward Marczewski, Andrezj Mostowski, Andrezj Schinzel, Roman Sikorski, and Marceli Stark. 3 vols. Warsaw (PWN). 1974--1976. 3 photographs 489--495 Hubert Kennedy Book Review: \booktitleMatematica: Un profilo storico: By Dirk J. Struik. With an appendix by Umberto Bottazzini. Translated by Umberto Bottazzini and Virginio Sella. Bologna (Il Mulino), 1981. 363 pp. L. 12,000 . . . . . . . . 495--496 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 497--504 Anonymous Papers to appear in forthcoming issues 506--506 Anonymous Acknowledgment . . . . . . . . . . . . . 507--507 Anonymous Index of authors of articles and reviews in volume 9 . . . . . . . . . . . . . . 508--508 Anonymous Index of authors of publications reviewed and abstracted in volume 9 . . 509--512
Donald E. Knuth Review of \sl History of Binary and other Nondecimal Numeration, by Anton Glaser . . . . . . . . . . . . . . . . . 236--243
Joseph W. Dauben Editorial . . . . . . . . . . . . . . . 1--2 Anthony Lo Bello Albertus Magnus and mathematics: a translation with annotations of those portions of the commentary on Euclid's \booktitleElements published by Bernhard Geyer . . . . . . . . . . . . . . . . . 3--23 Philip C. Enros The Analytical Society (1812--1813): Precursor of the renewal of Cambridge mathematics . . . . . . . . . . . . . . 24--47 Kirsti Andersen The mathematical technique in Fermat's deduction of the law of refraction . . . 48--62 Robert J. Wagner Euclid's intended interpretation of superposition . . . . . . . . . . . . . 63--70 Wilbur Knorr On the transmission of geometry from Greek into Arabic . . . . . . . . . . . 71--78 Eddie Shoesmith Expectation and the early probabilists 78--80 Jens Hòyrup Sixth-century intuitive probability: the statistical significance of a miracle 80--84 J. D. Zund Some comments on Riemann's contributions to differential geometry . . . . . . . . 84--89 Anonymous Euler Colloquium: Berlin, May 12--14, 1983 . . . . . . . . . . . . . . . . . . 90--91 Anonymous A Seminar in the History of Mathematics 91--92 Anonymous Use of history of mathematics in schools and colleges . . . . . . . . . . . . . . 92--92 Giorgio Israel and Laura Nurzia Correspondence and manuscripts recovered at the Istituto Matematico ``G. Castelnuovo'' of the University of Rome 93--97 Menso Folkerts Materials for the history of Western European mathematics in the Middle Ages and Renaissance . . . . . . . . . . . . 98--99 W. W. Piegorsch Has J. G. Mendel been ``Too accurate'' in his experiments? The $ \chi^2 $ test and its significance to the evaluation of genetic segregation . . . . . . . . . 99--100 Anonymous The history of linear perspective . . . 100--100 Anonymous Australian news and information letter 101--101 Anonymous Dissertation completed . . . . . . . . . 101--101 Anonymous The collected works of Kurt Gödel . . . . 101--102 Charles D. Aronson Marx's mathematical manuscripts . . . . 103--104 Claudia Zaslavsky Book Review: \booktitleBlack mathematicians and their works: Edited by Virginia K. Newell, Joella H. Gipson, L. Waldo Rich, and Beauregard Stubblefield. Ardmore, PA (Dorrance & Company), 1980. 327 pp. \$18.00 (cloth), \$12.50 (paper) . . . . . . . . . . . . 105--115 Claudia Zaslavsky Book Review: \booktitleA Negro history compendium: By Ethel M. Turner. Cheyney, PA (Cheyney State College), 1971. 74 pp 105--115 Owen Gingerich Book Review: \booktitleJohannes Kepler --- Mysterium cosmographicum --- The secret of the universe: Translation by A. M. Duncan. Introduction and Commentary by E. J. Aiton. New York (Abaris Books). 1981. 268 pp. \$20} . . 116--117 Jeremy Kilpatrick Book Review: \booktitleMathematical discoveries: 1600--1750: By P. L. Griffiths. Ilfracombe, England (Stockwell). 1977. 121 pp. \pounds 2.75 117--118 Ronal Calinger Book Review: \booktitleA history of the calculus of variations from the 17th through the 19th century: By Herman H. Goldstine. New York (Springer-Verlag). 1980. Studies in the History of Mathematics and Physical Sciences 5, xvii + 410 pp . . . . . . . . . . . . . 118--121 Peter Hilton Book Review: \booktitleThe mathematical experience: By Philip J. Davis and Reuben Hersh. Boston et al.: Birkhauser, 1981. xix + 440 pp . . . . . . . . . . . 122--125 Edward Grant Book Review: \booktitleJordanus de nemore. De numeris datis: a critical edition and translation by Barnabas Bernard Hughes, O.F.M. Berkeley (University of California Press). 1981. xi + 212 pp . . . . . . . . . . . . . . 125--129 M. Pycior Helena Book Review: \booktitleSir William Rowan Hamilton: By Thomas L. Hankins. Baltimore/London (Johns Hopkins University Press). 1980. xxi + 474 pp. \$32.50} . . . . . . . . . . . . . . . . 129--132 F. Aspray William Book Review: \booktitleBrouwer's Cambridge lectures on intuitionism: Edited by D. van Dalen. Cambridge (Cambridge University Press). 1981. xii + 109 pp. Appendix: Selections from Brouwer's private notes. Editor's preface and notes. Bibliography . . . . 132--135 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 136--143 Anonymous Notes on contributors . . . . . . . . . 144--146 Anonymous Papers to appear in forthcoming issues 147--147
John Synowiec Distributions: the evolution of a mathematical theory . . . . . . . . . . 149--183 Frederick Gregory Neo-Kantian foundations of geometry in the German Romantic Period . . . . . . . 184--201 William C. Waterhouse Quantifier problems beyond uniformity 202--207 Anonymous Recent Meetings of the British Society for the History of Mathematics . . . . . 208--209 Anonymous The Second Congress of the Spanish Society of History of Science . . . . . 209--210 Anonymous History of Mathematics Workshop, Summer 1983: University of Toronto, Toronto, Canada July 25--August 2 . . . . . . . . 210--211 Anonymous Journées D'histoire des Mathématiques: Lundi 6 Juin--Vendredi 10 Juin, 1983 Centre International de Rencontres Mathématiques, Marseille, France . . . . 211--213 Christa Binder History of Mathematics, Oberwolfach, 1981 . . . . . . . . . . . . . . . . . . 214--223 Anonymous Projet de publication . . . . . . . . . 224--224 Emil A. Fellmann Leonhard Euler, 1707--1783: Memorial volume on the 200th anniversary of his death . . . . . . . . . . . . . . . . . 225--227 William Aspray Book Review: \booktitleFrom Eniac to Univac: an appraisal of the Eckert--Mauchly computers: By Nancy Stern. Bedford, MA (Digital Press). 1981. x + 286 pp. Appendix: ``First Draft of a Report on the EDVAC'' by John von Neumann. Bibliography . . . . . . . 228--233 Henry S. Tropp Book Review: \booktitleA history of computing in the twentieth century: Edited by N. Metropolis, J. Howlett, and Gian-Carlo Rota. New York (Academic Press). 1980. xix + 659 pp. \$29.50} . . 233--236 Donald E. Knuth Book Review: \booktitleHistory of binary and other nondecimal numeration: By Anton Glaser. Los Angeles, CA (Tomash Publishers). 1981. 218 + xiii pp . . . . 236--243 Garrett Birkhoff Book Review: \booktitleJohn von Neumann and Norbert Wiener: By Steve Heims. Cambridge, Mass., and London (M.I.T. Press). 1981 . . . . . . . . . . . . . . 243--248 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 249--256 Anonymous Papers to appear in forthcoming issues 259--259
Menso Folkerts Kurt Vogel: Biographie und bibliographie 261--273 Christoph J. Scriba Gregory's converging double sequence: a new look at the controversy between Huygens and Gregory over the ``analytical'' quadrature of the circle 274--285 Ivo Schneider Potenzsummenformeln im 17. Jahrhundert 286--296 Raffaella Franci and Laura Toti Rigatelli Maestro Benedetto da Firenze e la storia dell'algebra. (Italian) [Maestro Benedetto of Florence and the history of algebra] . . . . . . . . . . . . . . . . 297--317 Eberhard Knobloch Von Riemann zu Lebesgue --- Zur Entwicklung der Integrationstheorie. (German) [From Riemann to Lebesgue --- on the development of the theory of integration] . . . . . . . . . . . . . . 318--343 D. H. Fowler and E. G. Turner Hibeh papyrus i 27: an early example of Greek arithmetical notation . . . . . . 344--359 Kurt Vogel Ein Vermessungsproblem reist von China nach Paris. (German) [A measurement problem travels from China to Paris] . . 360--367 Anonymous Conference on Renaissance Mathematics: Keble College, Oxford, September 26--30, 1984 . . . . . . . . . . . . . . . . . . 368--368 Anonymous International Seminar on Jain Mathematics and Cosmology: November 20--24, 1983 . . . . . . . . . . . . . . 369--371 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 372--379 Anonymous Papers to appear in forthcoming issues 382--382
A. P. Youschkevitch A. N. Kolmogorov: Historian and philosopher of mathematics on the occasion of his 80th birthday . . . . . 383--395 A. P. Youschkevitch and S. S. Demidov and Pierre Dugac F. A. Medvedev et son apport \`a l'histoire de la théorie des fonctions. (French) [F. A. Medvedev and his contribution to the history of the theory of functions] . . . . . . . . . . 397--398 Warren Van Egmond The algebra of master Dardi of Pisa . . 399--421 Kurt-R. Biermann C. F. Gauss als Mathematik- und Astronomiehistoriker . . . . . . . . . . 422--434 Menso Folkerts Eine bisher unbekannte Abhandlung über das Rechenbrett aus dem Beginnenden 14. Jahrhundert. (German) [A previously unknown treatise on the abacus from the early 14th Century] . . . . . . . . . . 435--447 David E. Rowe A forgotten chapter in the history of Felix Klein's Erlanger Programm . . . . 448--454 Rosine G. Van Oss D'Alembert and the fourth dimension . . 455--457 Anonymous Commemoration of the death of Giuseppe Peano . . . . . . . . . . . . . . . . . 458--458 Jean Dhombres French Mathematical Society: a week on the history of mathematics (Marseilles, CIRM, 6--10 June, 1983) . . . . . . . . 459--459 Anonymous Centro Studi della Matematica Medioevale publication series . . . . . . . . . . . 460--460 Anonymous First world directory of historians of Chinese mathematics . . . . . . . . . . 461--461 David E. Rowe Book Review: \booktitleEmmy Noether, 1882--1935: By Auguste Dick. Translated by H. I. Blocher. Boston/Basel/Stuttgart (Birkhäuser). 1981. 193 pp . . . . . . . 462--466 David E. Rowe Book Review: \booktitleEmmy Noether: a tribute to her life and work: Edited by James W. Brewer and Martha K. Smith. New York and Basel (Marcel Dekker). 1981. 180 pp . . . . . . . . . . . . . . . . . 462--466 Michio Yano Book Review: \booktitleGeometry in Ancient & Medieval India: By T. A. Sarasvati Amma. Delhi/Varanasi/Patna (Motilal Banarsidass). 1979. xi + 280 pp. Rs. 60 . . . . . . . . . . . . . . . 467--470 Edith Dudley Sylla Book Review: \booktitleThe medieval Latin translation of the Data of Euclid: By Shuntaro Ito. Tokyo/Boston, Basel, Stuttgart (University of Tokyo Press/Birkhaüser). 1980. ix + 256 pp. \$34.00} . . . . . . . . . . . . . . . . 471--475 Robin E. Rider Book Review: \booktitleLeonhardi Euleri commentationes mechanicae ad theoriam machinarum pertinentes volumen posterius: Series secunda. Opera mechanica et astronomica. Vol. 16. Bern (Societatis Scientiarum Naturalium Helveticae). 1979. xvii + 327 pp. . . . 476--477 Robin E. Rider Book Review: \booktitleLeonhardi Euleri commentationes mechanicae et astronomicae ad scientiam navalem pertinentes volumen posterius: Series secunda. Opera mechanica et astronomica. Vol. 21. Bern (Societatis Scientiarum Naturalium Helveticae). 1978. ccxlii + 241 pp. . . . . . . . . . . . . . . . . 476--477 S. A. Jayawardene Book Review: \booktitleÜber die Handschrift CLM 26639 der bayerischen Staatsbibliothek Müchen: Eine mögliche Quelle zu Widmanns deutschem Rechenbuch von 1489. Ein Beitrag zur Geschichte der Mathematik im ausgehenden Mittelalter. By Wolfgang Kaunzner. (Arbor scientiarum, Beiträge zur Wissenschaftsgeschichte, Reihe B: Texte, Band I). Hildesheim (Gerstenberg Verlag). 1978. vii + 125 pp. 114 DM . . 478--479 Emmanuil Papamastorakis and Roland Stowasser Problemgeschichite der mathematik. I. (German) [Problem history of mathematics. I] . . . . . . . . . . . . 480--482 Emmanuil Papamastorakis and Roland Stowasser Problemgeschichite der mathematik. II 480--482 Emmanuil Papamastorakis and Roland Stowasser Problemgeschichte der neueren mathematik. (1800--1950) . . . . . . . . 480--482 A. F. Monna Book Review: \booktitleFelix Hausdorff: Ein mathematiker seiner Zeit: By Herbert Mehrtens, with forewords by Professor E. Brieskorn and E. Voigt. Bonn (Mathematisches Institut). 1980. 40 pp. Illustrated . . . . . . . . . . . . . . 483--484 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 485--490 Anonymous Notes on contributors . . . . . . . . . 491--492 Anonymous Papers to appear in forthcoming issues 493--493 Anonymous Acknowledgment . . . . . . . . . . . . . 494--494 Anonymous Index of authors of articles and reviews in volume 10 . . . . . . . . . . . . . . 495--495 Anonymous Index of authors of publications reviewed and abstracted in volume 10 . . 496--499
Joseph W. Dauben Editorial . . . . . . . . . . . . . . . 1--2 Jacques Dutka Richardson extrapolation and Romberg integration . . . . . . . . . . . . . . 3--21 John L. Greenberg Alexis Fontaine's route to the calculus of several variables . . . . . . . . . . 22--38 Frank J. Swetz and Ang Tian Se A brief chronological and bibliographic guide to the history of Chinese mathematics . . . . . . . . . . . . . . 39--56 Herman Van Looy A chronology and historical analysis of the mathematical manuscripts of Gregorius a Sancto Vincentio (1584--1667) . . . . . . . . . . . . . . 57--75 Marcia Ascher Mathematical ideas in non-Western cultures . . . . . . . . . . . . . . . . 76--80 Wilfred Theisen Euclid, relativity, and sailing . . . . 81--85 Roger Herz-Fischler What are propositions 84 and 85 of Euclid's data all about? . . . . . . . . 86--91 Anonymous Recent meetings of the British Society for the History of Mathematics . . . . . 92--93 Anonymous Tricentenary of Leibniz's ``\booktitleNova Methodus'' . . . . . . 93--93 Anonymous Book Review: \booktitleElie Cartan --- Albert Einstein, letters on absolute parallelism 1929--1932: Original text, English translation by Jules Leroy and Jim Ritter; edited by Robert Debever. Princeton, NJ (Princeton Univ. Press). 1979. xvii + 233 pp. . . . . . . . . . . 94--96 Anonymous Book Review: \booktitleDürer: Kunst und Geometrie: By Eberhard Schröder. Berlin (Akademie-Verlag). 1980. 79 pp. Illustrated . . . . . . . . . . . . . . 97--98 Anonymous Book Review: \booktitleMathematicians and Their Times: History of mathematics and mathematics of history: (North-Holland Mathematics Studies, No. 48). By Laurence Chisholm Young. Amsterdam/New York (North-Holland). 1981. x + 344 pp. \$36.50} . . . . . . . 99--100 Anonymous Book Review: \booktitleA source book in Medieval science: Edited by Edward Grant. Cambridge, MA (Harvard Univ. Press). 1974. xviii + 864 pp. . . . . . 100--102 Anonymous Book Review: \booktitleSophie Germain. An essay in the history of the theory of elasticity: Studies in the history of modern science: Vol. 6. By Louis L. Bucciarelli and Nancy Dworsky. Dordrecht/Boston/London (Reidel). 1980. xii + 147 pp. Cloth Dfl. 60/U.S. \$30.00 Paper Dfl. 30/U.S. \$15.00 . . . . . . . 102--103 Anonymous Book Review: \booktitleWissenschaft und Bildung in der Mathematik des 19. Jahrhunderts: By Hans Niels Jahnke. Bielefeld, BRD (Institüt für Didaktik der Mathematik, Universität Bielefeld). 1981 104--106 Anonymous Book Review: \booktitleHistory of functional analysis: (Notas de Matemática, No. 77; North-Holland Mathematics Studies, No. 49). By Jean Dieudonné. Amsterdam (North-Holland). 1981. vi + 312 pp. U.S. \$29.50/Dfl. 65.00} . . . . . . . . . . . . . . . . . 106--108 Anonymous Book Review: \booktitleThe prehistory of the theory of distributions: Studies in the history of mathematics and physical sciences: By Jesper Lützen. New York/Heidelberg/Berlin (Springer-Verlag). 1982. 232 pp. \$42.00} . . . . . . . . . . . . . . . . 108--111 Anonymous Abstracts: Edited by Albert C. Lewis . . 112--119 Anonymous Notes on contributors . . . . . . . . . 120--122 Anonymous Papers to appear in forthcoming issues 123--123
John L. Berggren Abraham J. Sachs (1914--1983): In memoriam . . . . . . . . . . . . . . . . 124--125 D. H. Fowler Eric Gardner Turner (1911--1983): In Memoriam . . . . . . . . . . . . . . . . 126--130 Karsten Johnsen Zum Beweis von C. F. Gauss für die irreduzibilität des $p$-ten kreisteilungspolynoms. (German) [On the proof of C. F. Gauss of the irreducibility index of the $p$-th circular distribution polynomials] . . . 131--141 William C. Waterhouse A note by Gauss referring to ideals? . . 142--146 Gregg De Young The Arabic textual traditions of Euclid's \booktitleElements . . . . . . 147--160 Giorgio Israel and Laura Nurzia The Poincaré-Volterra theorem: a significant event in the history of the theory of analytic functions . . . . . . 161--192 E. S. Kennedy Applied mathematics in the Tenth Century: Abu'l-wafa' calculates the distance Baghdad--Mecca . . . . . . . . 193--206 Zarko Dadi\'c Some methodological aspects of Getaldi\'c's mathematical works . . . . 207--214 Curt C. Christian Gödel's contribution to the justification of Leibniz' notion of the infinitesimals 215--219 Anonymous A tribute to Leonhard Euler: 1707--1783 220--220 Gene B. Chase and Calvin Jongsma Bibliography of Christianity and mathematics: 1910--1983 . . . . . . . . 220--221 Anonymous The department of mathematics: university of algebra (1908--1982) . . . 221--221 C. J. Scriba Symposium on transmission of mathematical science: International commission on the history of Mathematics (International Union on the history and philosophy of Science, division of the history of Science) XVIIth International Congress on the history of Science Berkeley, 1--8 August 1985 . . . . . . . 222--225 Anonymous The IVth scientific instrument symposium, October 23--26, 1984, Amsterdam . . . . . . . . . . . . . . . 225--226 Anonymous Bertrand Russell's early technical philosophy, 1895--1922 . . . . . . . . . 226--226 Helena M. Pycior History of Mathematics summer workshop University of Toronto, July 25--August 2, 1983 . . . . . . . . . . . . . . . . 227--229 Anonymous Sociedad Matematica Peruana . . . . . . 229--229 Anonymous A directory of women in the history of science, medicine, and technology . . . 230--230 Anonymous H. Davenport papers and letters . . . . 231--231 A. Arcavi and M. Bruckheimer Development and evaluation of materials on the history of mathematics for teachers . . . . . . . . . . . . . . . . 232--232 W. A. Edson Chebyshev's approximations . . . . . . . 233--233 Jan A. van Maanen Book Review: \booktitleThe land of Stevin and Huygens: Studies in the history of modern science: Vol. 7. By Dirk J. Struik. Dordrecht/Boston/London (Reidel). 1981. xx + 162 pp., 24 plates. Bibliography. Index. Bound \$39.50, paperback \$19.50. Translation (by D. J. Struik) of: \booktitleHet Land van Stevin en Huygens: Sunschrift, Vol. 134. By D. J. Struik. 3rd rev. ed. Nijmegen (Sun). 1979. 156 pp., 16 plates. Bibliography. Glossary. Index. Hfl 18.50 234--237 A. Rupert Hall Book Review: \booktitleThe collected letters of Colin Maclaurin: Edited by Stella Mills. 4 Church Lane, Nantwich, Cheshire, England (Shiva Pub. Ltd.). 1982. xx + 496 pp. . . . . . . . . . . . 237--239 Anthony Lo Bello Book Review: \booktitleMedieval mensuration: quadrans vetus and geometrie due sunt partes principales\ldots: Edited by Nan L. Hahn. Transactions of the American Philosophical Society, Vol. 72 Part 8. Philadelphia (The American Philosophical Society). 1982. 204 pp. + lxxxv . . . . 239--240 Joan Livingston Richards Book Review: \booktitleGeschichte der geometrie: By Klaus Mainzer. Mannheim, Wein, Zurich (Bibliographisches Institut). 1980. 207 pp. Bibliography. Name and subject indexes . . . . . . . . 240--241 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 242--249 Anonymous Notes on contributors . . . . . . . . . 250--251 Anonymous Papers to appear in forthcoming issues 252--252
Menso Folkerts Helmuth Gericke: On the occasion of his 75th birthday . . . . . . . . . . . . . 253--257 Garrett Birkhoff and Erwin Kreyszig The establishment of functional analysis 258--321 Anonymous Kenneth O. May Fellowship in the History of Mathematics . . . . . . . . . . . . . 322--322 Jeremy Gray Workshop on the History of Mathematics, 14--15 April 1984 . . . . . . . . . . . 323--324 Y. T. Langermann and J. P. Hogendijk A hitherto unknown Hellenistic treatise on the regular polyhedra . . . . . . . . 325--326 G. J. Tee Book Review: \booktitle\'Si\.syadh\=\iv\.rddhida Tantra of Lalla with the commentary of Mallik\=arjuna S\=uri, Part 2, translation and mathematical notes: Critical edition with introduction, English translation, notes, and indices by Bina Chatterjee. New Delhi (Indian National Science Academy). 1981. xxviii + 340 pp . . . . . . . . . . . . . . . . 327--329 M. S. Klamkin Book Review: \booktitleThe Scottish book: Mathematics from the Scottish cafe: Edited by R. Daniel Mauldin. Boston (Birkhauser). 1981. xiii + 268 pp. \$24.95} . . . . . . . . . . . . . . 329--329 S. S. Chern Book Review: \booktitleGeschichte des mannigfaltigkeitsbegriffs von Riemann bis Poincaré: By Erhard Scholz. Boston (Birkhauser). 1980. 430 pp . . . . . . . 330--330 Ivor Bulmer-Thomas Book Review: \booktitleThe mathematical science of Christopher Wren: By J. A. Bennett. New York/Cambridge/London (Cambridge Univ. Press). 1983. viii + 148 pp. 35 figures in text. \$29.95} . . 330--333 Marjorie L. Senechal Book Review: \booktitleDescartes on polyhedra: By P. J. Federico. New York (Academic Press). 1983 . . . . . . . . . 333--334 Alan C. Bowen Book Review: \booktitleThe beginnings of Greek mathematics: By Árpád Szabó (translated by A. M. Ungar from Anfänge der Griechischen Mathematik). Synthese Historical Library 17. Dordrecht/Boston (Reidel). 1978. 353 pp. + index (5 pp.). Dfl. 100,-/U.S. \$47.50} . . . . . . . . 335--345 Stillman Drake Book Review: \booktitleNicolas Chuquet: La géométrie. Premiere géométrie algébraique en langue française (1484): Introduction, text, and notes by Hervé l'Huillier. Paris (J. Vrin). 491 pp. fr. 75.90 . . . 345--346 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 347--354 Anonymous Papers to appear in forthcoming issues 357--357
Charles V. Jones and Philip C. Enros and Henry S. Tropp Kenneth O. May, 1915--1977: His early life to 1946 . . . . . . . . . . . . . . 359--379 Philip Enros Kenneth O. May --- Bibliography . . . . 380--393 J. L. Berggren History of Greek mathematics: a survey of recent research . . . . . . . . . . . 394--410 Bernard R. Goldstein Eratosthenes on the ``measurement'' of the earth . . . . . . . . . . . . . . . 411--416 Michael S. Mahoney Changing canons of mathematical and physical intelligibility in the later 17th century . . . . . . . . . . . . . . 417--423 Helena M. Pycior Internalism, externalism, and beyond: 19th-century British algebra . . . . . . 424--441 Thomas Hawkins The Erlanger Programm of Felix Klein: Reflections on its place in the history of mathematics . . . . . . . . . . . . . 442--470 Judith V. Grabiner Artificial intelligence: Debates about its use and abuse . . . . . . . . . . . 471--480 Anonymous Supplement to world directory . . . . . 481--482 Anonymous Papers to appear in forthcoming issues 485--485 Anonymous Acknowledgment . . . . . . . . . . . . . 486--486 Anonymous Index of authors of articles and reviews in volume 11 . . . . . . . . . . . . . . 487--487 Anonymous Index of authors of publications reviewed and abstracted in volume 11 . . 488--490
Maurice Caveing La tablette babylonienne AO 17264 du musée du Louvre et le probl\`eme des six fr\`eres . . . . . . . . . . . . . . . . 6--24 Kripa Nath Sinha 'Sr\^\ipati: an eleventh-century Indian mathematician . . . . . . . . . . . . . 25--44 Peter Òhrstròm W. R. Hamilton's view of algebra as the science of pure time and his revision of this view . . . . . . . . . . . . . . . 45--55 Javad Hamadani-Zadeh A second-order interpolation scheme described in the \booktitleZij-i Ilkhani 56--59 Jan A. van Maanen Unknown manuscript material of Christiaan Huygens . . . . . . . . . . . 60--65 John W. Dawson, Jr. Completing the Gödel--Zermelo correspondence . . . . . . . . . . . . . 66--70 Donald B. Wagner A proof of the Pythagorean Theorem by Liu Hui (Third Century A.D.) . . . . . . 71--73 Anonymous Conference on History and Philosophy of Modern Mathematics . . . . . . . . . . . 74--74 Albert C. Lewis Bertrand Russell Conference . . . . . . 74--78 Anonymous Third International Conference on the History of Chinese Science: Beijing, China, August 20--25, 1984 . . . . . . . 78--78 Anonymous Australian Mathematical Society, 28th Annual Meeting . . . . . . . . . . . . . 79--79 Claudine Billoux La ``correspondance mathématique'' de Camille Jordan dans les archives de l'École Polytechnique . . . . . . . . . . 80--81 Jan P. Hogendijk Book Review: \booktitleBooks IV to VII of Diophantus' Arithmetica in the Arabic translation attributed to Qust\=a ibn L\=uq\=a: By J. Sesiano. New York/Heidelberg/Berlin (Springer-Verlag). 1982. xii + 502 pp. Sources in the History of Mathematics and Physical Sciences, Vol. 3. \$72.00} 82--85 Jean Dhombres Book Review: \booktitleThe origins of Cauchy's rigorous calculus: By Judith V. Grabiner. Cambridge, Mass. (MIT Press). 1981 . . . . . . . . . . . . . . . . . . 86--90 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 91--97 Anonymous Notes on contributors . . . . . . . . . 98--99 Anonymous Papers to appear in forthcoming issues 100--100 Anonymous Jean Itard (1902--1979) . . . . . . . . ??
Karl M. Petruso Additive progression in prehistoric mathematics: a conjecture . . . . . . . 101--106 Gay Robins and Charles C. D. Shute Mathematical bases of ancient Egyptian architecture and graphic art . . . . . . 107--122 David E. Rowe Felix Klein's ``\booktitleErlanger Antrittsrede'': a Transcription with English Translation and Commentary . . . 123--141 Walter Strobl Aus den wissenschaftlichen anfängen Hermann Minkowskis. (German) [From the scientific beginnings of Hermann Minkowski] . . . . . . . . . . . . . . . 142--156 Debra Robertson and J. J. Cross Paul du Bois-Reymond . . . . . . . . . . 157--157 Anonymous Canadian society for history and philosophy of mathematics, annual meeting, June 2--4, 1985 . . . . . . . . 158--158 C. J. Scriba International Commission on the History of Mathematics: meeting at the Berkeley Congress . . . . . . . . . . . . . . . . 158--159 Anonymous XVIIth International congress of history of science: Symposium on transmission of mathematical sciences . . . . . . . . . 159--161 John W. Berry Canadian society for the history and philosophy of mathematics: Annual Meeting-1984 . . . . . . . . . . . . . . 161--164 Walter S. Contro History of mathematics, Oberwolfach, 1982 . . . . . . . . . . . . . . . . . . 164--172 Anonymous International seminar on Jain mathematics and cosmology: Hastinapur (Meerut), India, April 26--28, 1985 . . 172--174 Anonymous Renaissance mathematics conference: Keble College, Oxford, September 27--30, 1984 . . . . . . . . . . . . . . . . . . 174--175 Sabetai Unguru Book Review: \booktitleDigging for structure into the \booktitleElements: Euclid, Hilbert, and Mueller Philosophy of mathematics and deductive structure in Euclid's \booktitleElements: By Ian Mueller. Cambridge, Mass., London (MIT Press). 1981. xv + 378 pp. \$45.00} . . 176--184 Anthony Lo Bello Book Review: \booktitleAlbertus (Magnus)' commentaar op Euclides' \booktitleElementen der geometrie: (The Commentary of Albertus Magnus on Euclid's \booktitleElements of Geometry). By Paul M. J. E. Tummers. 2 vols. (Vol. I: 329 pp.; Vol. II: iv + 370 pp.). Nijmegen (Ingenium Publishers). 1984 . . . . . . . . . . . 185--186 Calvin Jongsma Book Review: \booktitleThe Boole--de Morgan correspondence: 1842--1864: By Gordon C. Smith. London, New York (Oxford University Press (Clarendon)). 1982. 156 pp. \$44.00} . . . . . . . . . 186--190 Anonymous Abstracts: Edited by Albert C. Lewis . . 191--199 Anonymous Notes on contributors . . . . . . . . . 200--201 Anonymous Papers to appear in forthcoming issues 202--202
Francesco Gana Peirce e Dedekind: La definizione di insieme finito. (Italian) [Peirce and Dedekind: The definition of the finite set] . . . . . . . . . . . . . . . . . . 203--218 Lam Lay-Yong and Shen Kangsheng The Chinese concept of Cavalieri's principle and its applications . . . . . 219--228 Parmanand Singh The so-called Fibonacci numbers in Ancient and Medieval India . . . . . . . 229--244 Edward R. Hogan The mathematical miscellany (1836--1839) 245--257 Walerian Piotrowski Wladys\law Kretkowski and Hilbert's Third Problem . . . . . . . . . . . . . 258--260 Paulus Gerdes Three alternate methods of obtaining the ancient Egyptian formula for the area of a circle . . . . . . . . . . . . . . . . 261--268 Jan P. Hogendijk Th\=abit ibn Qurra and the pair of amicable numbers 17296, 18416 . . . . . 269--273 Anonymous Project on the contemporary history of mathematics in Mexico . . . . . . . . . 274--275 Emil A. Fellmann Review of a review: Critical remarks on S. S. Chern's review of Erhard Scholz's \booktitleGeschichte des Mannigfaltigkeitsbegriffs von Riemann bis Poincaré . . . . . . . . . . . . . . 276--277 David E. Rowe Book Review: \booktitleFelix Klein, Biographien hervorragender Naturwissenschaftler, Techniker, und Mediziner, Band 50: By Renate Tobies with Fritz König. BSB B. G. Teubner (Leipzig). 1981. 104 pp. . . . . . . . . 278--291 David E. Rowe Book Review: \booktitleNeohumanism and the Persistence of Pure Mathematics in Wilhelmian Germany: By Lewis Pyenson. American Philosophical Society (Philadelphia). 1983. 136 pp. . . . . . 278--291 David E. Rowe Book Review: \booktitleUniversität, Technische Hochschule und Industrie. Ein Beitrag zur Emanzipation der Technik im 19. Jahrhundert unter besonderer Berücksichtigung der Bestrebungen Felix Kleins: By Karl-Heinz Manegold. Duncker & Humblot (Berlin). 1970. 330 pp. . . . . 278--291 Anonymous Book Review: \booktitleNumbers: Their history and meaning: By Graham Flegg. New York (Schocken Books). 1983. x + 295 pp. \$14.95. (Also in paperback: London (Andr{\'e} Deutsch), 1983, \pounds 8.95.)} . . . . . . . . . . . . . . . . 292--293 Anonymous Book Review: \booktitleIntroduzione all'aritmetica mercantile del medioevo e del rinascimento: By Raffaella Franci and Laura Toti Rigatelli. Published for the University of Siena. Quattri Venti (Urbino). 1982. 126 pp. 8 illustrations. Lire 12,000 . . . . . . . . . . . . . . 293--295 Anonymous Book Review: \booktitleGeschichte der Zahlentheorie im Orient im Mittelalter und zu Beginn der Neuzeit unter besonderer Berücksichtigung persischer Mathematiker: By Alireza Djafari Naini. Verlag Klose (Braunschweig). 1982. 233 pp. DM 38,- . . . . . . . . . . . . . . 295--296 Anonymous Book Review: \booktitleLa raccolta Carlo Vigan\`o: By Pier Luigi Pizzamiglio. Preface by Carlo Felice Manara. Brescia (Editrice La Scuola), 1979. 219 pp. 20 illustrations . . . . . . . . . . . . . 296--297 Anonymous Journées d'histoire des sciences de Marseille: Les 4 et 5 octobre 1985 . . . 298--299 Anonymous Abstract: Edited by Albert C. Lewis . . 300--308 Anonymous Notes on contributors . . . . . . . . . 309--311 Anonymous Papers to appear in forthcoming issues 312--312
Eberhard Knobloch and Helena Pycior New editors named for \booktitleHistoria Mathematica . . . . . . . . . . . . . . 313--313 Joseph W. Dauben Editorial . . . . . . . . . . . . . . . 316--320 Christoph J. Scriba A farewell from the parting Chairman of the International Commission on the History of Mathematics . . . . . . . . . 321--322 A. I. Dale A study of some early investigations into exchangeability . . . . . . . . . . 323--336 Alejandro R. Garciadiego The emergence of some of the nonlogical paradoxes of the theory of sets, 1903--1908 . . . . . . . . . . . . . . . 337--351 Eddie Shoesmith Thomas Simpson and the arithmetic mean 352--355 John W. Kennedy and Louis V. Quintas and Maciej M. Syslo The theorem on planar graphs . . . . . . 356--368 Christoph J. Scriba Thirty years of the ``History of mathematics'' at Oberwolfach: In remembrance of J. E. Hofmann (1900--1973) . . . . . . . . . . . . . . 369--371 Anonymous New Executive Committee for ICHM . . . . 372--372 Anonymous New, updated supplement to the World Directory of Historians of Mathematics 372--373 Anonymous Comisión de estudios de Historia de la Matemática en América Latina . . . . . . . 373--374 R. C. Gupta History of Mathematics at the Indian Science Congress-1985 . . . . . . . . . 375--378 Thomas L. Drucker Session on the History of Logic 817th Meeting of the American Mathematical Society: Chicago, Illinois, 22--23 March 1985 . . . . . . . . . . . . . . . . . . 378--382 Anonymous Symposium on Disciplinary Limitations in Science . . . . . . . . . . . . . . . . 382--382 Giorgio Israel Book Review: \booktitleII Circolo matematico di Palermo: By Aldo Brigaglia and Guido Masotto. Bari (Edizioni Dedalo). 1982. 444 pp. Lire It. 10,000 383--388 John L. Greenberg Book Review: \booktitlePenser les mathématiques. Séminaire de philosophie et mathématiques de L'École normale supérieure: Edited by J. Dieudonné, M. Loi, and R. Thom. Paris (Éditions du Seuil). 1982. 273 pp . . . . . . . . . . 388--389 David E. Rowe Book Review: \booktitle100 Years of mathematics. A personal viewpoint: By George Temple. New York (Springer). 1981. xvi + 316 pp. Bibliography. Author and subject indexes . . . . . . . . . . 390--391 Philip C. Enros Book Review: \booktitleGreat moments in mathematics (before 1650): By Howard Eves. Dolciani Mathematical Expositions No. 5. Washington, D.C. (The Mathematical Association of America). 1980. xiv + 270 pp. \$22 hardcover; \$13 paperback . . . . . . . . . . . . . . . 391--393 Philip C. Enros Book Review: \booktitleGreat moments in mathematics (after 1650): By Howard Eves. Dolciani Mathematical Expositions No. 7. Washington, D.C. (The Mathematical Association of America). 1981. xii + 263 pp. \$23.50 hardcover; \$13 paperback; \$22 for the 2-volume set, paperback} . . . . . . . . . . . . 391--393 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 394--400 Anonymous Notes on contributors . . . . . . . . . 401--403 Anonymous Papers to appear in forthcoming issues 404--404 Anonymous Acknowledgment . . . . . . . . . . . . . 405--405 Anonymous Index of authors of articles and reviews in volume 12 . . . . . . . . . . . . . . 406--406 Anonymous Index of authors of publications reviewed and abstracted in volume 12 . . 407--410
Joseph W. Dauben A message from the International Commission on the History of Mathematics 1--1 Eberhard H. Knobloch and Helena M. Pycior Editorial . . . . . . . . . . . . . . . 3--4 Werner Jentsch Auszüge aus einer unveröffentlichten Korrespondenz von Emmy Noether und Hermann Weyl mit Heinrich Brandt. (German) [Excerpts from unpublished correspondence of Emmy Noether and Hermann Weyl with Henry Brandt] . . . . 5--12 Colin R. Fletcher Refugee mathematicians: a German crisis and a British response, 1933--1936 . . . 13--27 J. J. Burckhardt Euler's work on number theory: a concordance for A. Weil's Number theory 28--35 A. P. Youschkevitch Chinese mathematics: Some bibliographic comments . . . . . . . . . . . . . . . . 36--38 Alejandro R. Garciadiego On rewriting the history of the foundations of mathematics at the turn of the century . . . . . . . . . . . . . 39--41 Anonymous Contemporary Scientific Archives Centre 42--42 Jan P. Hogendijk Discovery of an 11th-century geometrical compilation: the \booktitleIstikmal of Yusuf al-M$^\supset $ taman ibn Hud, King of Saragossa . . . . . . . . . . . 43--52 Gert Schubring The three parts of the Dirichlet Nachlass [legacy] . . . . . . . . . . . 52--56 Anonymous Fourth International Conference on the History of Chinese Science, May 16--21, 1986 . . . . . . . . . . . . . . . . . . 57--57 Anonymous First Austrian Symposium on the History of Mathematics: Mathematics-Stimulating or stimulated? . . . . . . . . . . . . . 58--58 Anonymous History and Pedagogy of Mathematics Study Group . . . . . . . . . . . . . . 58--59 Anonymous History and Philosophy of Mathematics Meeting . . . . . . . . . . . . . . . . 59--59 Anonymous African Miniconference on History of Mathematics . . . . . . . . . . . . . . 60--60 Anonymous International Symposium for History of Mathematics and Mathematical Education Using Chinese Characters . . . . . . . . 60--60 Walter Purkert History of Mathematics, Oberwolfach, 1984 . . . . . . . . . . . . . . . . . . 61--72 Enrico Giusti Critical editions and history of mathematics . . . . . . . . . . . . . . 72--73 Roger Cooke A portrait of Sophia Kovalevsky . . . . 74--77 Thomas Drucker Frege, Dedekind, and Peano on the foundations of arithmetic. Methodology and science foundation . . . . . . . . . 77--78 E. J. Aiton Never at rest. A biography of Isaac Newton . . . . . . . . . . . . . . . . . 78--81 Nathan Reingold A calculating people: the spead of numeracy in early America . . . . . . . 81--82 Frank J. Swetz Geometry and algebra in ancient civilizations . . . . . . . . . . . . . 83--85 Jeremy Gray Number theory: an approach through history; from Hammurapi to Legendre . . 86--88 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 89--94 Anonymous Papers to appear in forthcoming issues 97--97
Ang Tian Se and Frank J. Swetz A Chinese mathematical classic of the third century: the sea island mathematical manual of Liu Hui . . . . . 99--117 Sanford L. Segal Mathematics and German politics: the national socialist experience . . . . . 118--135 N. G. Hairetdinova On spherical trigonometry in the medieval near east and in Europe . . . . 136--146 William C. Waterhouse A neglected note showing Gauss at work 147--156 Eddie Shoesmith Huygens' solution to the Gambler's Ruin Problem . . . . . . . . . . . . . . . . 157--164 Winfried Scharlau The mathematical correspondence of Rudolf Lipschitz . . . . . . . . . . . . 165--167 Karsten Johnsen Remarks to the third entry in Gauss' diary . . . . . . . . . . . . . . . . . 168--169 Anonymous Classic works in science, mathematics, and logic . . . . . . . . . . . . . . . 170--170 Anonymous Papers of C. A. Truesdell and R. L. Wilder . . . . . . . . . . . . . . . . . 171--172 Anonymous Colloque international CNRS: ``La physique'' d'Aristote: L'analyse du continu et du mouvement et la possibilité d'une science de la nature . . . . . . . 173--173 Anonymous Congress on new trends in the history of science . . . . . . . . . . . . . . . . 174--174 Anonymous Two weekends on Teichmüller . . . . . . . 174--175 M. R. Chowdhury Emmy Noether Day at ICTP . . . . . . . . 175--176 Luis Carlos Arboleda Latin American Seminar on the teaching of History of Science: Cali, Colombia, November 4--10, 1984 . . . . . . . . . . 176--177 S. S. Demidov and S. N. Kiro The Third Summer Conference on the History of Mathematics, Odessa, USSR . . 177--179 R. C. Gupta Symposium on the Relevance and Importance of the History of Mathematics in Present Times in India . . . . . . . 180--182 Maria Sol de Mora Charles III Congr\`es de la societé Espagnole d'histoire des sciences: San Sebastián, Pays Basque, 1--6 Octobre, 1984 . . . . 182--184 George Booker International study group for the relationship between the history and pedagogy of mathematics (HPM) . . . . . 184--190 Anonymous Book Review: \booktitleA convergence of lives --- Sofia Kovalevskaia: Scientist, writer, revolutionary: By Ann Hibner Koblitz. Basel/Boston (Birkhäuser). 1983. xx + 305 pp. \$19.95} . . . . . . . . . 191--193 Anonymous Book Review: \booktitleClassics of mathematics: Edited by Ronald Calinger. Oak Park, Illinois (Moore Publishing Company). 1982. xxv + 742 pp. \$18.00 (paper)} . . . . . . . . . . . . . . . . 194--195 Anonymous Abstracts: Edited by Albert C. Lewis . . 196--209 Anonymous Notes on contributors . . . . . . . . . 210--212 Anonymous Papers to appear in forthcoming issues 213--213
I. G. Bashmakova and S. S. Demidov and A. T. Grigorian and A. N. Kolmogorov and Yu. V. Prokhorov and B. A. Rosenfeld Adolph Pavlovich Yushkevich on the occasion of his eightieth birthday . . . 215--220 Sergei Demidov Adolph Pavlovich Yushkevich: Selected publications (1976--1986) . . . . . . . 221--223 Menso Folkerts Kurt Vogel (1888--1985) . . . . . . . . 224--228 Jean-Paul Pier Mesures invariantes --- de Lebesgue \`a nos jours. (French) [Invariant measures --- from Lebesgue to our days] . . . . . 229--240 Tony Crilly The rise of Cayley's invariant theory (1841--1862) . . . . . . . . . . . . . . 241--254 Francesco Gana Dio e l'uomo nella matematica di Kronecker. (Italian) [God and man in Kronecker's mathematics] . . . . . . . . 255--276 John W. Dawson, Jr. The papers of Kurt Gödel . . . . . . . . 277--277 Anonymous Congress on Italian Mathematics between the Two World Wars (1920--1940) . . . . 278--278 Robert Halleux Sluse et son temps . . . . . . . . . . . 278--281 Anonymous 3rd Workshop on Concept Development in Babylonian Mathematics: Berlin, December 9--13, 1985 . . . . . . . . . . . . . . 282--282 W. Purkert Geschichte der Mathematik: 8.12. bis 14.12. 1985 Mathematisches Forschungsinstitut Oberwolfach. (German) [History of Mathematics: 12--14 August 1985, Mathematical Research Institute in Oberwolfach] . . . . . . . . . . . . . . 283--292 Alejandro R. Garciadiego First International Colloquium on the Philosophy and History of Mathematics 292--293 Lawrence H. Shirley History of mathematics in Africa: a section of the Second Pan-African Congress of Mathematicians of the African Mathematical Union . . . . . . . 293--295 Anonymous Conference on Concepts of the Mathematical Infinite during the 19th Century: Sonderforschungsbereich ``Wissen und Gesellschaft im 19. Jahrhundert'' der Ruhr--Universität Bochum, Prof. Dr. Gert König . . . . . . 295--295 Colin R. Fletcher Amp\`ere, Faraday, and Maxwell: Three founders of electromagnetism . . . . . . 296--296 Erwin Neuenschawander Book Review: \booktitleCarl Friedrich Gauss: a bibliography: Compiled by Uta C. Merzbach. Wilmington, Delaware (Scholarly Resources Inc.). 1984. xxv + 551 pp. \$95.00} . . . . . . . . . . . . 297--299 René Taton \booktitleSur les fondements de l'analyse \`a la fin du XVIII$^e$ d'apr\`es le traité de Lacroix: Par Pierre Dugac. Université Pierre et Marie Curie (Paris). DEUGSSM, 2$^e$ année, option d'histoire des sciences (oct.--déc. 1982). 39 pp . . . . . . . . 299--301 I. Grattan-Guinness Book Review: \booktitleWritings of Charles S. Peirce: a chronological edition, volume 2, 1867--1871: Editor in chief: Edward C. Moore. Bloomington, Indiana (Indiana University Press). 1984. xlviii + 649 pp. \$35.00} . . . . 301--303 David A. King Book Review: \booktitleStudies in the exact sciences in medieval Islam: By Ali A. Al-Daffa and John S. Stroyls. Dhahran (University of Petroleum and Minerals); New York (John Wiley & Sons). 1984. \$39.95} . . . . . . . . . . . . . . . . 303--306 David A. King Book Review: \booktitleMatematiki i astronomi musulmanskogo srednevekovya i Ikh trudy (VIII--XVII vv.): [Mathematicians and Astronomers of the Islamic Middle Ages (VIII--XVII Centuries) and Their Works]. By G. P. Matvievskaya and B. A. Rosenfeld. Moscow (Nauka). 1983. 3 vols., 479 + 650 + 372 pp . . . . . . . . . . . . . . . . . . . 306--308 Helmut Grössing Book Review: \booktitleNicolaus Cusanus und die Entstechung der exakten Wissenschaften: By Fritz Nagel. Buchreihe der Cusanus-Gesellschaft, Band IX. Münster (Aschendorff). 1984. vii + 192 pp. DM 48 . . . . . . . . . . . . . 308--310 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 311--320 Anonymous Notes to contributors . . . . . . . . . 321--322 Anonymous Papers to appear in forthcoming issues 323--323
Lam Lay-Yong and Ang Tian-Se Circle measurements in ancient China . . 325--340 Marta Menghini Notes on the correspondence between Luigi Cremona and Max Noether . . . . . 341--351 Maria Sol de Mora-Charles Leibniz et le probl\`eme des partis. Quelques papiers inédits . . . . . . . . 352--369 Germaine Aujac Le rapport di isou (Euclide V, définition 17): Définition, utilisation, transmission . . . . . . . . . . . . . . 370--386 Anonymous Newton's \booktitlePrincipia 1687--1987: College Park, Maryland, and Washington, D.C., April 23--25, 1987 . . . . . . . . 387--387 Anonymous Notes on contributors . . . . . . . . . 388--388 Anonymous Papers to appear in forthcoming issues 389--389 Anonymous Index of authors of articles and reviews in volume 13 . . . . . . . . . . . . . . 390--390 Anonymous Index of authors of publications reviewed and abstracted in volumes 1--13 391--423
Emily Grosholz Two Leibnizian manuscripts of 1690 concerning differential equations . . . 1--37 Craig G. Fraser Joseph Louis Lagrange's algebraic vision of the calculus . . . . . . . . . . . . 38--53 Anonymous Mathesis: Revista de divulgación e información en la historia y filosofía de las matemáticas . . . . . . . . . . . . . 54--54 Anonymous The Nachlass [legacy] of Wilhelm Lorey 55--57 Anonymous Resources in the history of mathematics at the University of Alabama . . . . . . 57--59 Anonymous VIIIth international congress of logic, methodology, and philosophy of science: Moscow, USSR, August 17--22, 1987 . . . 60--60 Massimo Mugnai International workshop on the Leibniz Renaissance: the reasons for contemporary interest in Leibniz' thought . . . . . . . . . . . . . . . . 61--62 Jeremy Gray A report on the Symposium on the History of Recent Mathematics: Sandbjerg, Denmark, August 21--25, 1986 . . . . . . 62--63 Anonymous Deutsche mathematiker vereinigung, Jahrestagung 1986: Universität Marburg, September 14--19, 1986 . . . . . . . . . 63--64 Anonymous Book Review: \booktitleIbn al-Haytham's completion of the conics: By Jan Pieter Hogendijk. Berlin/Heidelberg/New York/Tokyo (Springer-Verlag). 1985. 417 pp. \$98.00} . . . . . . . . . . . . . . 65--67 Anonymous Book Review: \booktitleColoured quadrangles, a guide to the tenth book of Euclid's \booktitleElements: By C. M. Taisbak. Copenhagen (Museum Tusculanum Press). 1982. 78 pp. Opuscula Graeco-Latina (Supplementa Musei Tusculani), Vol. 24. 45 Dkr . . . . . . 67--70 Anonymous Book Review: \booktitleRecherches sur l'oeuvre mathématique de Mei Wending (1633--1721): By Jean-Claude Martzloff. Mémoires de l'Institut des Hautes Etudes Chinoises, Vol. 16. Paris (Coll\`ege de France). 1981. 472 pp. . . . . . . . . . 70--75 Anonymous News and notices . . . . . . . . . . . . 76--76 Anonymous Notes on contributors . . . . . . . . . 77--78 Anonymous Subject index of publications abstracted in volumes 1--13 . . . . . . . . . . . . 79--117
M. Panteki William Wallace and the introduction of continental calculus to Britain: a letter to George Peacock . . . . . . . . 119--132 Eddie Shoesmith The continental controversy over Arbuthnot's argument for divine providence . . . . . . . . . . . . . . . 133--146 M. Aballagh and A. Djebbar Découverte d'un écrit mathématique d'al-Ha\.s\.s\=ar (XIIe S.): Le livre I du K\=amil . . . . . . . . . . . . . . . 147--158 Takao Hayashi Var\=ahamihira's pandiagonal magic square of the order four . . . . . . . . 159--166 Barnabas Hughes An early 15th-century algebra codex: a description . . . . . . . . . . . . . . 167--172 Joseph Ehrenfried Hofmann Wie ist wohl Demokrit zum Rauminhalt der Pyramide gekommen?. (German) [How did Democritus find the cubic volume of the pyramid?] . . . . . . . . . . . . . . . 173--174 Jan P. Hogendijk Observations on the icosahedron in Euclid's \booktitleElements . . . . . . 175--177 Nathan Houser A note on the Koenigsberger--Zeuner Repertorium . . . . . . . . . . . . . . 178--179 C. J. Scriba XVIIIth International Congress of the History of Science: Hamburg and Munich, Federal Republic of Germany 1--9 August 1989 . . . . . . . . . . . . . . . . . . 180--181 Ivor Grattan-Guinness Mathematics, mechanics, and astronomy: Newton (1687), Lagrange (1788), Poincaré (1889), Gonville and Caius College, Cambridge, England, 17--20 September 1987 . . . . . . . . . . . . . . . . . . 181--182 Anonymous Pietro Riccardi (1828--1898): e la storiografia delle matematiche in Italia 16--18 marzo 1987. (Italian) [Pietro Riccardi (1828--1898): and historiography of mathematics in Italy 16--18 March 1987] . . . . . . . . . . . 182--182 Anonymous Special session on Bertrand Russell: Annual Meeting of the Canadian Society for the History and Philosophy of Mathematics . . . . . . . . . . . . . . 183--183 Klaus Mainzer Symmetrie symposion: Technische Hochschule Darmstadt 13.--17. Juni 1986 183--185 Anonymous XVIIth international congress of history of science: Symposium No. 18 on Transmission of Mathematical Sciences July 31--August 8, 1985 . . . . . . . . 185--191 Karine Chemla Conference on the history of Mediterranean mathematics: Centre International de Rencontres Mathématiques, Luminy, Marseille April 16--21, 1984 . . . . . . . . . . . . . . 191--193 Anonymous Premier colloque international sur l'histoire des mathématiques arabes . . . 194--194 Mark Villarino and Michael Josephy and Angel Ruiz-Zúñiga A Spanish edition of \booktitleDisquisitiones Arithmeticae 195--196 Anonymous Project on interrelations between the development of theoretical mathematics and applications during the 19th century 196--197 Anonymous Book Review: \booktitleSiméon-Denis Poisson et la science de son temps: Edited by Michel Métivier, Pierre Costabel, and Pierre Dugac. Paris (École Polytechnique-Palaisseu avec l'aide de la Délégation aux célébrations nationales). 1981. iv + 285 pp., bibliography, index 198--200 Anonymous Book Review: \booktitleI want to be a mathematician: an automathography: By Paul R. Halmos. New York (Springer-Verlag). 1985. 421 pp. with 43 photographs. \$41.50} . . . . . . . . . 200--203 Anonymous Book Review: \booktitleThe nature of mathematical knowledge: By Philip S. Kitcher. New York/Oxford (Oxford University Press). 1983. xii + 286 pp. \$25.00 hardbound; \$8.95 paperback . . 204--209 Anonymous Book Review: \booktitleThe history of combinatorial group theory: a case study in the history of ideas: (Studies in the History of Mathematics and Physical Sciences, Vol. 9). By Bruce Chandler and Wilhelm Magnus. (New York/Heidelberg/Berlin: Springer-Verlag). 1982. viii + 234 pp 209--211 Anonymous Book Review: \booktitleGeorge Boole: His life and work: By Desmond MacHale. Profiles of Genius, Vol. 2. Dún Laoghaire (Boole Press Limited). 1985. xiii + 304 pp. \$24.95} . . . . . . . . . . . . . . 211--214 Thierry Guitard On an episode in the history of the integral calculus . . . . . . . . . . . 215--219 Anonymous Abstracts: Edited by Albert C. Lewis and Garry J. Tee . . . . . . . . . . . . . . 220--230 Anonymous Notes on contributors . . . . . . . . . 231--233 Anonymous Papers to appear in forthcoming issues 234--234
Hidetosi Fukagawa Algebraic curves in Japan during the Edo period . . . . . . . . . . . . . . . . . 235--242 E. Seneta Chuprov on finite exchangeability, expectation of ratios, and measures of association . . . . . . . . . . . . . . 243--257 Detlef Laugwitz Infinitely small quantities in Cauchy's textbooks . . . . . . . . . . . . . . . 258--274 James J. Tattersall Thomas Jefferson and Douwes' method for determining latitude . . . . . . . . . . 275--281 Pierre Crépel Le premier manuscrit de Condorcet sur le calcul des probabilités (1772) . . . . . 282--283 Gert Almkvist Correspondence of Carleman . . . . . . . 284--284 Irving H. Anellis Mathematical logic in the Soviet Union, 1917--1980 . . . . . . . . . . . . . . . 285--287 Israel Halperin John von Neumann memorabilia . . . . . . 287--287 Anonymous Bicentennial commemoration of R. Boscovich: Osservatorio Astronomico di Brera Milano, September 15--18, 1987 . . 288--289 J. Dhombres Ars Analytica (from Vi\`ete (1591) to Cauchy (1821)) . . . . . . . . . . . . . 289--289 Anonymous The Durham Thomas Harriot Seminar: Thomas Harriot and His Times Durham, December 14--15, 1987 . . . . . . . . . 289--290 Anonymous Boscovich in Rome, 1725--1759: His scientific life and works: Rome, Italy, April 1988 . . . . . . . . . . . . . . . 290--290 Anonymous Second Latin--American Congress on the History of Science and Technology: São Paulo, Brazil, 30 June to 4 July 1988 291--291 Alan C. Bowen The interaction of science and philosophy in fifth and fourth century Greece, May 30--June 1, 1986 . . . . . . 291--292 Antonio Lamarra L'infinito in Leibniz. Problemi e terminologia das unendliche bei Leibniz. Probleme und Terminologie: Simposio Internazionale, November 6--8, 1986, Rome . . . . . . . . . . . . . . . . . . 293--294 Anonymous Discussion meeting: Newton's \booktitlePrincipia and its legacy: Organized by D. G. King-Hele and A. R. Hall on behalf of the British National Committee for the History of Science, Medicine and Technology Carlton House Terrace, London, June 30, 1987 . . . . . 294--295 I. Grattan-Guinness The British society for the history of mathematics . . . . . . . . . . . . . . 296--296 Anonymous Erratum . . . . . . . . . . . . . . . . 297--297 Anonymous Abstracts: Edited by Albert C. Lewis . . 298--307 Anonymous Notes on contributors . . . . . . . . . 308--309 Anonymous Papers to appear in forthcoming issues 310--310
Victor J. Katz The calculus of the trigonometric functions . . . . . . . . . . . . . . . 311--324 Donald A. Gillies Was Bayes a Bayesian? . . . . . . . . . 325--346 Amy Dahan-Dalmédico Mécanique et théorie des surfaces: les travaux de Sophie Germain. (French) [Mechanics and the theory of surfaces: the works of Sophie Germain] . . . . . . 347--365 Frederic F. Burchsted Archives of American mathematics . . . . 366--374 Louis Charbonneau Congr\`es annuel-1986: Canadian society for the history and philosophy of mathematics/Société Canadienne d'histoire et de philosophie des mathématiques . . . 375--380 Menso Folkerts Book Review: \booktitleHumanistische Naturwissenschaft. Zur Geschichte der Wiener mathematischen Schulen des 15. und 16. Jahrhunderts: By Helmuth Grössing. (Saecula Spiritalia, herausgegeben von Dieter Wuttke, Band 8). Baden-Baden (Verlag Valentin Koerner). 1983. 355 Seiten . . . . . . . 381--383 George Saliba Book Review: \booktitleDiophante: Les arithmétiques: Volume III: Book IV, ccvi + 162 pp., illus., bibl.; Volume IV: Books V--VII, cxxxiv + 197 pp., app., index. Edited by Roshdi Rashed. Collection des Universités de France. Paris (Société d'Edition ``les belles Lettres''). 1984. Fr 500 (cloth) . . . . 383--386 J. L. Berggren Book Review: \booktitleDiophante: Les arithmétiques: Volume III: Book IV, ccvi + 162 numbered pp. (261 total pp.), illus., bibl.; Volume IV: Books V--VII, cxxxiv + 197 numbered pp. (253 total pp.), app., index. Edited by Roshdi Rashed. Collection des Universités de France. Paris (Société d'Édition ``Les Belles Lettres''). 1984. Fr. 500 (cloth) 386--389 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 390--396 Anonymous Index of authors of articles and reviews in volume 14 . . . . . . . . . . . . . . 399--399 Anonymous Papers to appear in forthcoming issues 399--399 Anonymous Index of authors of publications reviewed and abstracted in volume 14 . . 401--404
A. D. Aleksandrov and S. S. Demidov and A. T. Grigoryan and G. P. Matvievskaya and S. S. Sirazhdinov and A. P. Yushkevich Boris A. Rozenfeld: On the 70th anniversary of his birth . . . . . . . . 1--8 J. Dhombres and M. Pensivy Esprit de rigueur et présentation mathématique au XVIII$^{{\grave e}me}$ si\`ecle: le cas d'une démonstration d'Aepinus . . . . . . . . . . . . . . . 9--31 Victor E. Thoren Prosthaphaeresis revisited . . . . . . . 32--39 Winfried Scharlau Die Entdeckung der Sylow--Sätze. (German) [Discovery of the Sylow theorems] . . . 40--52 Margherita Benzi Un ``Probabilista neoclassico'': Francesco Paolo Cantelli . . . . . . . . 53--72 Christoph J. Scriba Who is it? . . . . . . . . . . . . . . . 73--74 Anonymous Summer School and Conference on Mathematical Logic . . . . . . . . . . . 75--76 Angelo Guerraggio Italian Mathematics between the Two World Wars (1920--1940) . . . . . . . . 76--77 R. C. Gupta National Seminar on the Scientific Heritage of India . . . . . . . . . . . 77--81 Fritz Nagel 1687/1987: Der Ausbau des Calculus durch Leibniz und die Brüder Bernoulli: Symposion, Basel, June 15--17, 1987 . . 81--82 Michael Otte Symposium on ``\,`Style' as a Category of the History and Philosophy of Science'': Brakel, Federal Republic of Germany, June 17--19, 1987 . . . . . . . 83--84 Anonymous The Fourth International Symposium on the History of Arabic Science: Aleppo University, April 21--26, 1987 . . . . . 85--86 Bernd Bekemeyer Research group on the history of mathematical textbooks (GRIMM) . . . . . 87--88 Robin E. Rider Book Review: \booktitleThe history of mathematics from antiquity to the present: a selective bibliography: Edited by Joseph W. Dauben. New York (Garland). 1985. 508 pp. \$80.00. ISBN 0-8240-9284-8} . . . . . . . . . . . . . 88--89 Eberhard Knobloch Book Review: \booktitleEn lisant le mémoire de Seidel de 1847: Par Pierre Dugac. Université Pierre et Marie Curie (Paris VI), DEUGSSM. 2$^{{\grave e}}m e$ Année, Option d'Histoire des Sciences (Février--Avril 1984). Paris. 1984. 29 pp 90--97 Albert C. Lewis Abstracts . . . . . . . . . . . . . . . 98--99 Anonymous Papers to appear in forthcoming issues 100--100
Erwin Neuenschwander A brief report on a number of recently discovered sets of notes on Riemann's lectures and on the transmission of the Riemann Nachlass [legacy] . . . . . . . 101--113 Hans Georg Knapp Zahl als Zeichen --- zur ``Technisierung'' der Arithmetik im Mittelalter. (German) [Number as a sign --- ``mechanization'' of arithmetic in the Middle Ages] . . . . . . . . . . . . 114--134 Shen Kangsheng Mutual-subtraction algorithm and its applications in ancient China . . . . . 135--147 Anonymous Neugebauer microform index of the exact sciences . . . . . . . . . . . . . . . . 148--148 Anonymous Colloque ``Condorcet'': Paris, 8--11 juin 1988 . . . . . . . . . . . . . . . 149--151 Anonymous 2nd school of all Poland of the History of Mathematics: Mathematics of the 19th Century May 25--29, 1987, Mi\kedzyzdroje 151--152 Walter Purkert 28. Tagung zur Geschichte der Mathematik: Mathematisches Forschungsinstitut Oberwolfach, 27.4--2.5.1987. (German) [28th Meeting on the History of Mathematics: Mathematical Research Institute in Oberwolfach, 27 April--2 May 1987] . . . 152--164 Anonymous First Seminar on the Scientific Tradition of Brescia: Francesco Lana Terzi (1631--1687): La scuola gesuitica e la scienza moderna October 8, 1987 . . 164--164 Ivor Grattan-Guinness Mathematics, mechanics, and astronomy: Newton (1687), Lagrange (1788), Poincaré (1889) September 17--20, 1987 . . . . . 165--170 U. Bottazzini and A. Dahan and J. Dhombres and E. Giusti and S. Roero Franco-Italian colloquy ars analytica: September 28--October 2, 1987 . . . . . 170--171 Marco Panza Le débat sur les fondements du calcul différentiel en France dans la seconde moitié du XVIIIe si\`ecle: L'hypoth\`ese réductionniste et la naissance de l'alg\`ebre opératoire . . . . . . . . . 172--173 Anonymous Book Review: \booktitlePtolemy's Almagest: Translated and annotated by G. T. Toomer. New York/Berlin/Heidelberg/Tokyo (Springer-Verlag). 1984. 693 pp . . . . 174--176 Anonymous Book Review: \booktitleAlfred North Whitehead: the man and his work. Volume I: 1861--1910: By Victor Lowe. Baltimore and London (Johns Hopkins University Press). 1985. xi + 352 pp. \$27.50} . . 176--179 Anonymous Book Review: \booktitleScience and technology in medieval India --- A bibliography of source materials in Sanskrit, Arabic and Persian: By A. Rahman with the Research Assistance of M. A. Alvi, S. A. Khan Ghori, and K. V. Sarma Murthy. New Delhi (Indian National Science Academy). 1982. xxxi + 179 pp. Rs. 200 (foreign price: \$70)} . . . . . 179--181 Anonymous Book Review: \booktitleÜber die entstehung von David Hilberts ``\booktitleGrundlagen der Geometrie'': By M.-M. Toepell. Studien zur Wissenschafts-, Sozial- und Bildungsgeschichte der Mathematik, Band 2. Göttingen (Vandenhoeck & Ruprecht). 1986. 293 + xiv pp. DM 78 . . . . . . . 181--183 Anonymous Book Review: \booktitleThe \'sulbas\=utras of Baudh\=ayana, \=Apastamba, K\=aty\=ayana and M\=anava with text, English translation and commentary: By S. N. Sen and A. K. Bag. New Delhi (Indian National Science Academy). 1983. viii + 293 pp. Rs. 85, \$30} . . . . . . . . . . . . . . . . . 183--185 Anonymous Book Review: \booktitleStatistics in Britain, 1865--1930: the social construction of scientific knowledge: By Donald A. MacKenzie. (Edinburgh University Press). 1981. viii + 306 pp 185--187 Anonymous Abstracts: Edited by, Albert C. Lewis and David E. Zitarelli . . . . . . . . . 188--194 Anonymous Erratum . . . . . . . . . . . . . . . . 195--195 Anonymous Notes on contributors . . . . . . . . . 196--197 Anonymous Papers to appear in forthcoming issues 198--198 Anonymous Acknowledgment . . . . . . . . . . . . . 199--199
Marcia Ascher Graphs in cultures: a study in ethnomathematics . . . . . . . . . . . . 201--227 John L. Greenberg Breaking a ``viscous circle'': Unscrambling A.-C. Clairaut's iterative method of 1743 . . . . . . . . . . . . . 228--239 Raffaella Franci Antonio de' Mazzinghi: an algebraist of the 14th Century . . . . . . . . . . . . 240--249 Bernd J. Arnold Das Kontinuitätsprogramm zwischen Cantor und der Nonstandard-Analysis. (German) [The continuity program between Cantor and nonstandard analysis] . . . . . . . 250--263 Robert Ineichen Dante-Kommentare und die Vorgeschichte der Stochastik. (German) [Dante Commentaries and the Prehistory of Stochastics] . . . . . . . . . . . . . . 264--269 Irving H. Anellis Some unpublished papers of Jean van Heijenoort . . . . . . . . . . . . . . . 270--274 Nicholas A. Vonneuman Biography of John von Neumann . . . . . 275--275 C. J. Scriba 18th International Congress on the History of Science . . . . . . . . . . . 275--278 Li Zhaohua and Liu Dun The Second National Chinese Conference for History of Mathematics . . . . . . . 278--280 Yoshimasa Michiwaki The International Symposium on the History and Education of Mathematics using Chinese Characters (ISHEM): Kiryu, Japan, August 7--9, 1987 . . . . . . . . 280--280 Lawrence Shirley Second Pan-African Congress of Mathematicians: University of Jos, Jos, Nigeria, March 23--29, 1986 . . . . . . 281--281 JoséFrancisco Rodrigues Anastácio da Cunha (1744--1787), o matemático e o poeta: Lisbon, Portugal, October 8--10, 1987 . . . . . . . . . . 282--282 Anonymous Journées d'histoire des sciences: La Mathématisation (1780--1830) 11--12 Mars 1988 . . . . . . . . . . . . . . . . . . 283--283 Luis Saraiva Portuguese Seminar of History of Mathematics . . . . . . . . . . . . . . 283--284 Norbert Knoche History of Algebra: Workshop, June 25--27, 1987, Essen . . . . . . . . . . 285--286 Anonymous Teaching and the history of mathematics 287--289 Jean Dhombres \booktitleLeonhard Euler 1707--1783: Beiträge zu leben und werk: Gedenkband des Kantons Basel-Stadt. Basel/Boston/Stuttgart (Birkhäuser Verlag). 1983. 555 pp . . . . . . . . . 289--290 Ignacio Angelelli Book Review: \booktitleLife and works of Giuseppe Peano: Edited by Hubert Kennedy. Studies in the History of Modern Science 4. Dordrecht (Reidel). 1980. \$34.00 cloth, \$14 paper . . . . 291--294 Albert C. Lewis and David E. Zitarelli Abstract . . . . . . . . . . . . . . . . 295--297 Anonymous Papers to appear in forthcoming issues 298--298
Reinhard Siegmund-Schultze Der Beweis des Weierstraßschen Approximationssatzes 1885 vor dem Hintergrund der Entwicklung der Fourieranalysis. (French) [On the evidence for the Weierstrass Approximation Theorem in 1885 against the background of Fourier Analysis] . . 299--310 Catherine Jami Western influence and Chinese tradition in an Eighteenth Century Chinese mathematical work . . . . . . . . . . . 311--331 Tony Crilly The decline of Cayley's invariant theory (1863--1895) . . . . . . . . . . . . . . 332--347 A. I. Dale On Bayes' theorem and the inverse Bernoulli theorem . . . . . . . . . . . 348--360 James J. Tattersall Who put the ``C'' in A.-T. Vandermonde? 361--367 David C. Arney Resources in the history of mathematics at the United States Military Academy 368--369 Anonymous International symposium on Cauchy and the French mathematical world: Paris, France, 27--29 July 1989 . . . . . . . . 370--371 Organisépar Amy Dahan et François De Gandt Colloque-atelier (CIRM Luminy 6--10 Juillet 1987): Physique et analyse de Newton \`a Gauss . . . . . . . . . . . . 371--372 Jim Ritter History of fractions or fractions of a history . . . . . . . . . . . . . . . . 372--375 Jean Dhombres La France scientifique et technique: Les années 1816--1824: Journée de la société française d'histoire des sciences et des techniques, Conservatoire des arts et métiers, Paris, 7 Mai 1988 . . . . . . . 375--375 Víctor S. Albis and Luis C. Arboleda Newton's \booktitlePrincipia in Latin America . . . . . . . . . . . . . . . . 376--379 David C. Arney and Robert L. Ball and Warren C. Chellman and William E. Ebel, Jr. and Martin L. Vozzo History of the Department of Mathematics of the United States Military Academy 379--379 Miriam P. Cooney A seminar on women and mathematics . . . 380--383 Anonymous Book Review: \booktitleNative American mathematics: Edited by Michael P. Closs. Austin, Texas (University of Texas Press). 1986. 439 pp. 13 photographs, 55 line drawings, 20 tables. Bibliography 384--386 Anonymous Book Review: \booktitleMathematical perspectives: Essays on mathematics and its historical development: Edited by Joseph W. Dauben. New York (Academic Press). 1981. 259 pp. \$49.50} . . . . . 386--388 Anonymous Book Review: \booktitleIntellectual mastery of nature: Theoretical physics from Ohm to Einstein: Vol. 1, The Torch of Mathematics 1800--1870 (\$55.00); Vol. 2, The Now Mighty Theoretical Physics 1870--1925 (\$65.00). By Christa Jungnickel and Russell McCormmach. Chicago (University of Chicago Press). 1986. xxiii + 350; xii + 435 pp . . . . 389--392 Anonymous Book Review: \booktitlePhilosophie als Analysis: Studien zur Entwicklung philosophischer Analysiskonzeptionen unter den Einfluss mathematischer Methoden-Modelle im 17. und frühen 18. Jahrhundert: By Hans-Jürgen Engfer. Forschungen und Materialien zur deutschen Aufklärung (Series 2, Vol. 1). Stuttgart-Bad Cannstatt (Fromman-Holzboog). 1982. 293 pp. \$50.00} . . . . . . . . . . . . . . . . 392--395 Anonymous Erratum . . . . . . . . . . . . . . . . 396--396 Anonymous Abstract: Edited by Albert C. Lewis and David E. Zitarelli . . . . . . . . . . . 397--401 Anonymous Papers to appear in forthcoming issues 405--405 Anonymous Index of authors of articles and reviews in volume 15 . . . . . . . . . . . . . . 406--406 Anonymous Index of authors of publications reviewed and abstracted in volume 15 . . 407--409
Michael Otte The ideas of Hermann Grassmann in the context of the mathematical and philosophical tradition since Leibniz 1--35 J. Bruce Brackenridge Newton's mature dynamics and the \booktitlePrincipia: a simplified solution to the Kepler problem . . . . . 36--45 Paul L. Butzer and François Jongmans P. L. Chebyshev (1821--1894) and his contacts with Western European scientists . . . . . . . . . . . . . . . 46--68 Jan P. Hogendijk Sharaf al-D\=\in al-T\=us\=\i on the number of positive roots of cubic equations . . . . . . . . . . . . . . . 69--85 Heinrich Wefelscheid Edmund Landau memorabilia . . . . . . . 86--86 Anonymous Colloque international 1830--1930: Un si\`ecle de géométrie, de C. F. Gauss et B. Riemann \`a H. Poincaré et E. Cartan. Epistémologie et histoire: Probablement \`a l'Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75230 Paris, Cedex 05, France, 19--23 September 1989 87--88 Anonymous Ratio: la théorie des proportions de l'antiquité au XIX\`eme si\`ecle: Trento, Italia, 9--13 Janvier 1989 . . . . . . . 89--89 Otto B. Bekken and Bengt Johansson History of mathematics Gimlekollen Mediasenter, Kristiansand, Norway, August 7--13, 1988 . . . . . . . . . . . 90--92 Hans J. Nissen Workshop über Begriffsbildungen in der Babylonischen Mathematik. (German) [Workshop on concepts in Babylonian mathematics] . . . . . . . . . . . . . . 92--93 Karen Hunger Parshall Book Review: \booktitleAda: a life and a legacy: (MIT Press Series in the History of Computing, Vol. 3). By Dorothy Stein. Cambridge, MA/London (The MIT Press). 1985. xix + 321 pp. \$9.95} . . . . . . 94--95 Mary Terrall Book Review: \booktitleLeonhard Euler, Opera Omnia: Series IVA: Commercium epistolicum. Vol. VI: Correspondance de Leonhard Euler avec P.-L. M. de Maupertuis et Frédéric II. Edited by Pierre Costabel, Eduard Winter, Asot T. Grigorijan, and Adolph P. Juskevic. Basel (Birkhäuser). 1986. xi + 454 pp. SwF 192 . . . . . . . . . . . . . . . . 96--97 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 98--103 Anonymous Notes on contributors . . . . . . . . . 104--105 Anonymous Papers to appear in forthcoming issues 106--106
Lam Lay-Yong and Shen Kangshen Methods of Solving Linear Equations in Traditional China . . . . . . . . . . . 107--122 Ettore Picutti Pour l'histoire des sept premiers nombres parfaits . . . . . . . . . . . . 123--136 Luigi Indorato and Pietro Nastasi The 1740 resolution of the Fermat--Descartes controversy . . . . . 137--148 Colin R. Fletcher Fermat's theorem . . . . . . . . . . . . 149--153 P. C. Fenton An extremal problem in Harriot's mathematics . . . . . . . . . . . . . . 154--163 Anonymous The Riccati equation in control, systems, and signals: a Workshop Celebrating Two and a Half Centuries of the Riccati Equation Villa Gallia, Como, Italy, June 26--28, 1989 . . . . . . . . 164--165 Anonymous Gauss symposium: an International Conference on Mathematics and Theoretical Physics Guarujá, Brazil, July 22--27, 1989 . . . . . . . . . . . . . . 166--166 Christa Binder II. Österreichisches Symposium zur Geschichte der Mathematik . . . . . . . 166--166 Jacques Borowczyk Université d'été d'Histoire des Mathématiques, 28 août au 2 septembre 1988: Organisée par la Commission INTER-IREM d'épistémologie et l'IREM de Poitiers . . . . . . . . . . . . . . . . 167--168 Christian Houzel Colloque d'Histoire des mathématiques sous le patronage de la société mathématique de France: Au Centre International de Rencontres Mathématiques, Marseille, du 17 au 22 juin 1985 . . . . . . . . . . . . . . . 169--169 Paolo Freguglia Study centre for scientific thought between 1500 and 1600: Perugia University, 4th Seminar of Study . . . . 170--170 C. S. Roero Giornate di storia della matematica: Cetraro (Cosenza) Italy, September 8--12, 1988. (Italian) [Days of the history of mathematics: Cetraro (Cosenza) Italy, September 8--12, 1988] 171--172 Anonymous The Fifth International Leibniz Congress: Hanover, Federal Republic of Germany, November 14--19, 1988 . . . . . 172--173 Anonymous Les mathématiques italiennes et françaises entre les deux guerres: Colloque \`a l'Institut Culturel Italien Hôtel de Galliffet, 50 rue de Varenne, VIIe, 6--7 décembre 1988 . . . . . . . . . . . . . . 173--174 George Ross Lagrange conference . . . . . . . . . . 174--175 Anonymous The research group REHSEIS in Paris . . 176--177 Anonymous Book Review: \booktitleGauß, eine biographische studie: By Walter Kaufmann--Bühler. Berlin/Heidelberg (Springer-Verlag). 1987. 191 S. Kartoniert DM 56 . . . . . . . . . . . . 178--179 Anonymous Book Review: \booktitleNapoleon und die Naturwissenschaften: By Joachim Fischer. Boethius-Texte und Abhandlungen zur Geschicted der exacten Wissenchaften, Band 16, Stuutgart (Franz Steiner Verlag Wiesbaden GmbH) 1988. xiv + 390 pp. DM 180--180 Anonymous Book Review: \booktitleTeubner-Archiv zur Mathematik. Teubner Verlagsgesellschaft, Leipzig: Vol. 1: C. F. Gauß, B. Riemann, H. Minkowski. Gaußsche Flächentheorie, Riemannsche Räume und Minkowski-Welt. 1984. 155 pp. DM 28. Vol. 2: G. Cantor. Ü ber unendliche, lineare Punktmannigfalttigkeiten. Arbeiten zur Mengenlehre aus den Jahren 1872--1884. 1984. 180 pp. DM 32. Vol. 3: G. Herglotz, Vorlesungen Über die Mechanik der Kontinua. 1985. 251 pp. DM 48. Vol. 4: H. Riechardt. Gaußunf die anfänge der nicht-euklidischen Geometrie. Mit Original- beiten von J. Bolyai, N. I. Lobatschewski und F. Klein . . . . . 180--184 Anonymous Book Review: \booktitleLa république avait besoin de savants: By Janis Langins. Paris (Belin). 1987. 287 pp. 9 illustrations. 90 francs . . . . . . . . 184--184 Anonymous Book Review: \booktitleHistoire de l'École Polytechnique: By Ambroise Fourcy. Introduction and notes by Jean Dhombres. Paris (Belin). 1987. viii + 516 + 198 pp. 140 francs . . . . . . . . 184--187 Anonymous Book Review: \booktitleEpisodes in the mathematics of Medieval Islam: By J. L. Berggren. New York (Springer-Verlag). 1986. xiv + 197 pp. \$23.00 (cloth)} . . 188--190 Anonymous Book Review: \booktitleChinese mathematics: a concise history: By Li Yan and Du Shiran (translated by John N. Crossley and Anthony W. C. Lun). Oxford (Clarendon). 1987. xiii + 290 pp. \$50.00} . . . . . . . . . . . . . . . . 191--193 Anonymous Abstract: Edited by David E. Zitarelli 194--202 Anonymous Notes on contributors . . . . . . . . . 203--204 Anonymous Papers to appear in forthcoming issues 205--205
Menso Folkerts and Eberhard Knobloch Christoph J. Scriba --- 60 Jahre . . . . 207--212 Barnabas Hughes The arithmetical triangle of Jordanus de Nemore . . . . . . . . . . . . . . . . . 213--223 Paolo Mancosu The metaphysics of the calculus: a foundational debate in the Paris Academy of Sciences, 1700--1706 . . . . . . . . 224--248 Leonid Zhmud Pythagoras as a mathematician . . . . . 249--268 Luciano Boi 1830--1930: Un si\`ecle de géométrie, de C. F. Gauss et B. Riemann \`a H. Poincaré et E. Cartan; épistémologie, histoire, et mathématiques: Colloque International, 18--23 septembre 1989 . . . . . . . . . 269--270 Anonymous International symposium on ``Structures in mathematical theories'': San Sebastián, Spain, 24--28 September 1990 270--271 David E. Rowe Symposium on the history of modern mathematics: Vassar College, Poughkeepsie, New York, June 20--24, 1988 . . . . . . . . . . . . . . . . . . 271--280 Liu Dun International symposium for the commemoration of Mei Wending and the Chinese third annual meeting on the history of mathematics . . . . . . . . . 281--282 Anonymous News and notices . . . . . . . . . . . . 283--284 Anonymous A research program and a course in the history of mathematics: Ethnomathematics 285--287 Anonymous Mario Pieri: His contributions to the foundations and teaching of geometry . . 287--288 Anonymous Book Review: \booktitleWomen of mathematics: a biobibliographic sourcebook: Edited by Louise S. Grinstein and Paul J. Campbell, with a foreword by Alice Schafer. New York (Greenwood). 1987. 292 pp. \$45.00} . . 289--291 Anonymous Book Review: \booktitleCantorian set theory and limitation of size: By Michael Hallett. Foreword by M. Dummett. Oxford Logic Guides: 10. Oxford/New York (Clarendon Press-Oxford Univ. Press). 1984. xxii + 343 pp. \$25.00} . . . . . 291--295 Anonymous Book Review: \booktitleIslamic mathematical astronomy: By D. A. King. Collected Studies Series, CS 231. London (Variorum Reprints). 1986. 342 pp . . . 295--295 Anonymous Abstracts: Edited by David E. Zitarelli 296--304 Anonymous Papers to appear in forthcoming issues 307--307
Charles C. Gillispie Salomon Bochner as historian of mathematics and science . . . . . . . . 316--323 Walter W. Piegorsch Durand's rules for approximate integration . . . . . . . . . . . . . . 324--333 Erwin Neuenschwander The unpublished papers of Joseph Liouville in Bordeaux . . . . . . . . . 334--342 Roshdi Rashed Ibn al-Haytham et les nombres parfaits. (French) [Ibn al-Haytham and perfect numbers] . . . . . . . . . . . . . . . . 343--352 Y. Maeyama A simple, accurate, geometrical approximation to the Keplerian motion 353--359 Karin Reich and Menso Folkerts and Christoph J. Scriba Das schriftenverzeichnis von Ewald Fettweis (1881--1967) samt einer Würdigung von Olindo Falsirol. (German) [The index of writings of Ewald Fettweis (1881--1967), together with an appreciation by Olindo Falsirol] . . . . 360--372 Sonja Brentjes and Jan P. Hogendijk Notes on Th\=abit ibn Qurra and his rule for amicable numbers . . . . . . . . . . 373--378 Umberto Bottazzini and Stefano Francesconi Manuscript volumes and lecture notes of Salvatore Pincherle . . . . . . . . . . 379--380 Anonymous Science in antiquity. Scientific Centre of Leningrad of the Academy of Sciences of the USSR, March 20--22, 1989: Leningrad Section of the Institute of the History of Science and Technology of the Academy of Sciences of the USSR . . 381--382 Detlef D. Spalt Resultatismus oder geneseologie? --- Impulse der Nichtstandard-Analysis für die Geschichtsschreibung: Arbeitstagung vom 9.--11. Januar 1989 in Darmstadt, Technische Hochschule . . . . . . . . . 382--385 Anonymous Colloque mathématiques et philosophie \`a l'age classique: Recherches historiques: Organisé par l'Association ``Méditerranée et Histoire des Sciences'' et l'équipe REHSEIS . . . . . . . . . . . . . . . . 386--386 Reinhard Siegmund-Schultze Book Review: \booktitleRudolf Lipschitz: Briefwechsel mit Cantor, Dedekind, Helmholtz, Kronecker, Weierstrass und Anderen: Bearbeitet von Winfried Scharlau (Dokumente zur Geschichte der Mathematik, im Auftrag der Deutschen Mathematiker-Vereinigung herausgegeben von Winfried Scharlau, Band 2). Braunschweig/Wiesbaden (Vieweg). 1986. xviii + 253 Seiten . . . . . . . . . . . 387--389 Erhard Scholz Book Review: \booktitleStudies in the history of mathematics: Edited by Esther R. Phillips. Studies in Mathematics, Vol. 26. Mathematical Association of America. 1987. 308 pp . . . . . . . . . 390--392 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 393--405 Anonymous Notes on . . . . . . . . . . . . . . . . 406--407 Anonymous Papers to appear in forthcoming issues 408--408 Anonymous Index of authors of articles and reviews in volume 16 . . . . . . . . . . . . . . 409--409 Anonymous Index of authors of publications reviewed and abstracted in volume 16 . . 410--413 Anonymous Kurt-Reinhard Biermann zum 70. Geburtstag. (German) [Kurt-Reinhard Biermann's 70th Birthday] . . . . . . . ??
Joseph W. Dauben New Year's greetings from the ICHM . . . 1--3 Eberhard Knoblocho Announcement . . . . . . . . . . . . . . 4--5 Edward R. Hogan The fading amateur: William Lenhart and 19th-century American mathematics . . . 6--15 Manfred Kracht and Erwin Kreyszig E. W. von Tschirnhaus: His role in early calculus and his work and impact on Algebra . . . . . . . . . . . . . . . . 16--35 E. Keith Lloyd Redfield's proofs of MacMahon's conjecture . . . . . . . . . . . . . . . 36--47 Giorgio Israel On correspondence between B. Boncompagni and A. Genocchi . . . . . . . . . . . . 48--54 Walter Purkert 29. Tagung zur Geschichte der mathematik: Mathematisches Forschungsinstitu Oberwolfach, 20.11.--26.11. 1988. (German) [29th Meeting on the History of Mathematics: Mathematical Research Institute in Oberwolfach, 20--26 November, 1988] . . 55--64 Nikos Kastanis The First Greek Conference on History and Philosophy of Mathematics-Theme: History and Philosophy of Ancient Greek Mathematics: Athens, March 2--4, 1989 65--66 Livia Giacardi Memorial days in honour of Angelo Genocchi: Turin, Italy, May 12--13, 1989 66--67 Jean-Claude Martzloff Deuxi\`eme colloque maghrébin sur l'histoire des mathématiques arabes: Tunis, 1--3 décembre 1988 . . . . . . . . 67--69 Jean-Claude Martzloff Séminaire sur la géometrie des figures \`a travers les âges: Université d'Oran Es-Senia, Institut des Sciences Exactes, Algérie, 1--3 juillet 1989 . . . . . . . 69--70 Jean Dhombres Cauchy et le monde mathématique français: Paris, 27--29 juillet 1989. (French) [Cauchy and the French mathematical world: 27--29 July 1989] . . . . . . . . 70--72 Anonymous Gauss Symposium: International Conference on Mathematics and Theoretical Physics Guarujá, Brazil, July 24--27, 1989 . . . . . . . . . . . . . . 73--73 Jean Dhombres and Enrico Giusti Colloque: Ratio-La théorie des proportions de l'Antiquité au XIX\`eme si\`ecle: Centro Internazionale per la Ricerca Matematica, Trento, 9--13 janvier 1989 . . . . . . . . . . . . . . 73--75 Jeremy Gray Book Review: \booktitleDie Geschichte der geometrischen Mechanik im 19. Jahrhundert: By Renatus Ziegler. Franz Steiner Verlag Wiesbaden GmbH Stuttgart. Boethius XIII. 1985. vii + 260 pp. DM 48 76--77 Michael Serge Book Review: \booktitleCultura, scienze e tecniche nella Venezia del cinquecento. Atti del convegno internazionale di studio: Giovan Battista Benedetti e il suo tempo: Edited by Antonio Manno. Venice (Istituto Veneto di Scienze, Lettere ed Arti). 1987. 503 pp . . . . . . . . . . 78--80 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 81--96 Anonymous Notes on contributors . . . . . . . . . 97--97 Anonymous Papers to appear in forthcoming issues 98--98
John N. Crossley and Alan S. Henry Thus spake al-Kh\=awarizmi: a translation of the text of Cambridge University Library Ms. II.vi.5 . . . . . 103--131 S. J. Patterson Eisenstein and the quintic equation . . 132--140 John Fauvel and Paulus Gerdes African Slave and Calculating Prodigy: Bicentenary of the Death of Thomas Fuller . . . . . . . . . . . . . . . . . 141--151 Maurice V. Wilkes The British Association Mathematical Tables Committee . . . . . . . . . . . . 152--152 Anonymous History of mathematics symposium in conjunction with the XXIst International Congress of Mathematicians . . . . . . . 153--153 Anonymous Math-History Conference: University of Wisconsin--La Crosse, October 5 and 6, 1990 . . . . . . . . . . . . . . . . . . 154--154 Anonymous Colloque le Continu Mathématique: Cerisy-la-Salle, 11--21 Septembre 1990 154--155 Christa Binder Report on the first Austrian symposium on the history of mathematics: Mathematics-Stimulating or stimulated?: Neuhofen an der Ybbs, Lower Austria, 9 to 15 November 1986 . . . . . . . . . . 155--157 Anonymous XVIIIth International Congress of History of Science: Hamburg-Munich, 1--9 August 1989 . . . . . . . . . . . . . . 158--162 Anonymous Primeras Jornadas de la Sociedad Leibniz de España: Analogia y expresion en Leibniz Facultad de Filosofia y Ciencias de la Educacion, Universidad Complutense, 28040 Madrid; September 20--22, 1989 . . . . . . . . . . . . . . 162--162 Anonymous Colloque International 1830--1930: Un si\`ecle de géometrie, de C. F. Gauss et B. Riemann \`a H. Poincaré et E. Cartan: Epistémologie, Histoire et mathématiques: Paris, September 18--23, 1989 . . . . . 162--164 Anonymous XII. Österreichischer Mathematikerkongreß: Vienna, Austria, September 17--22, 1989 164--165 Anonymous Archimede: Mito Tradizione Scienza Convegno Internazionale di Studi: Syracusa-Catania, Italy, October 9--12, 1989 . . . . . . . . . . . . . . . . . . 165--166 Anonymous Association Henri Poincaré pour l'histoire et la philosophie des mathématiques et de la physique modernes 167--168 Anonymous A new series devoted to history and philosophy of science . . . . . . . . . 168--169 B. A. Rozenfeld Book Review: \booktitleLa théorie des parall\`eles en pays d'Islam. Contribution a la préhistoire des géométries non-euclidiennes: By Khalil Jaouiche. Paris (Vrin). 1986. 266 pp. 198 F . . . . . . . . . . . . . . . . . 170--172 Jens Hòyrup Book Review: \booktitleWas ist ein Tonsystem? Eine historisch-systematische Theorie der abendländischen Tonsysteme, gegründet auf die antiken Theoretiker Aristoxenos, Eukleides und Ptolemaios, dargestellt mit Mitteln der modernen Algebra: By Wilfried Neumaier. (Quellen und Studien zur Musikgeschichte von der Antike bis in die Gegenwart, Band 9). Frankfurt a.M. etc. (Peter Lang). 1986 172--174 Jens Hòyrup Book Review: \booktitleA mathematical history of division in extreme and mean ratio: By Roger Herz-Fischler. Waterloo, Ontario (Wilfrid Laurier Univ. Press). 1987. xvi + 191 pp . . . . . . . . . . . 175--178 Gert Schubring Book Review: \booktitleDie Krise der Anschauung: Studien zur Wissenschafts-, Sozial- und Bildungsgeschichte der Mathematik, 3. By Klaus Th. Volkert. Göttingen (Vandenhoeck & Ruprecht). 1986. xxxii + 420 pp. 98 DM . . . . . . . . . 178--180 Clas-Olof Selenius Book Review: \booktitleThe history of mathematics in Finland 1828--1918: By Gustav Elfving. The History of Learning and Science in Finland 1828--1918, Vol. 4. Helsingfors (Societas Scientiarum Fennica). 1981. 195 pp . . . . . . . . . 180--182 Renate Tobies Book Review: \booktitleDie Entstehung des Mathematiklehrerberufs im 19. Jahrhundert: Studien und materialien zum Prozeßder professionalisierung in Preußen (1810--1870): By Gert Schubring. Bielefelder Beiträge zur Ausbildungsforschung und Studienreform, Bd. 2. Weinheim/Basel (Beltz). 1983. 325 S . . . . . . . . . . . . . . . . . . . 182--185 Israel Halperin Letter to the editor . . . . . . . . . . 186--186 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 187--197 Anonymous Notes on contributors . . . . . . . . . 198--199 Anonymous Papers to appear in forthcoming issues 200--200 Anonymous Lubos Nový: Sexagenarian . . . . . . . . ??
Jens Hòyrup Dýnamis, the Babylonians, and Theaetetus 147c7--148d7 . . . . . . . . . . . . . . 201--222 Ruth Farwell and Christopher Knee The missing link: Riemann's ``Commentatio,'' differential geometry and tensor analysis . . . . . . . . . . 223--255 Werner Bergmann Noch einmal zu den Ausnahmeregeln der Gauss'schen Osterformel. (German) [Once again, the exception rules of the Gaussian Easter formula] . . . . . . . . 256--258 Anonymous The Bicentennial Conference on Computing: a forthcoming event to commemorate the 200th anniversary of the birth of Charles Babbage London, 1--3 July 1991 . . . . . . . . . . . . . . . 259--259 Anonymous 3rd Maghrebian Symposium on the History of Arabic Mathematics: Algiers, Algeria, 1--3 December 1990 . . . . . . . . . . . 260--261 Anonymous Einstein et les quanta: Institut Henri Poincaré, Paris, France, 9 décembre 1989 261--261 Luigi Pepe European mathematics during the Napoleonic Period: Istituto Nazionale di Alta Matematica, Cortona, Italy, October 9--14, 1989 . . . . . . . . . . . . . . 261--262 Anonymous Seminaire d'Histoire des Mathematiques d'Orsay: Départments de Mathématiques, Université de Paris-Sud, Centre d'Orsay, Bt. 425, 1$^e$ étage, Salle 121--123, France . . . . . . . . . . . . . . . . . 263--263 I. Grattan-Guinness From Fourier to Fractals: Gonville and Caius College, Cambridge, September 13--16, 1989 . . . . . . . . . . . . . . 263--267 Nikos Kastanis French revolution and mathematics: Thessaloniki, November 8--10, 1989 . . . 267--267 Anonymous Journées d'Histoire et d'Epistémologie: La gravitation newtonienne: physique et mécanique de Newton \`a Euler: Observatoire de Meudon, Paris, 22--23 juin 1989 . . . . . . . . . . . . . . . 267--268 Anonymous Colloquium on the Occasion of the 450th Birthday of Bartholomäus Scultetus (1540--1614): Museum, Neißstraße 30, 8900 Görlitz, German Democratic Republic, May 26, 1990 . . . . . . . . . . . . . . . . 268--268 Karl-Heinz Schlote ``Seminar zur Geschichte der Mathematik'' in Leipzig . . . . . . . . 269--270 Clóvis Pereira da Silva A social history of the development of university mathematics in Brazil from 1810 to 1920 . . . . . . . . . . . . . . 271--271 Albert C. Lewis Book Review: \booktitleMathematical visions: the pursuit of geometry in Victorian England: By Joan L. Richards. Boston/San Diego (Academic Press). 1988. xiii + 266 pp. \$34.95} . . . . . . . . 272--278 Heinz-Jürgen Hess Book Review: \booktitleDie gesammelten Werke der Mathematiker und Physiker der Familie Bernoulli: Daniel Bernoulli: Die Werke. Band 3: Mechanik. Hrsg. von D. Speiser, A. de Baenst-Vandenbroucke, J. L. Pietenpol und R. Radelet-de Grave. Mit Beiträgen von H. Straub. Basel/Boston/Stuttgart (Birkhäuser). 1987. xxvii + 457 S. DM 230. Johann (I) Bernoulli: Der Briefwechsel. Band 2: Der Briefwechsel mit Pierre Varignon. Erster Teil: 1692--1702. Hrsg. von P. Costabel und J. Peiffer unter Benutzung von Vorarbeiten von J. O. Fleckenstein. Basel/Boston/Berlin (Birkhäuser). 1988. xviii + 442 S. DM 198 . . . . . . . . . 279--283 Adolf P. Yshkevick Book Review: \booktitleII Circolo matematico di Palermo: By Aldo Brigaglia and Guido Masotto. Bari (Edizioni Dedalo). 1982. 444 pp. Lire H. 10,000 284--287 S. L. Segal Book Review: \booktitleDie Mathematik und ihre Dozenten an der Berliner Universität, 1810--1933: 2nd ed. By Kurt Biermann. Berlin (Akademie-Verlag). 1988 287--289 Richard M. Davitt Book Review: \booktitleMathematics: People, problems, results: Edited by Douglas M. Campbell and John C. Higgins. Belmont, California (Wadsworth International). 1984. 3 Vols. xxiv + 871 pp. Original price was \$39.95 (cloth); \$27.95 (paper) . . . . . . . . . . . . 289--291 I. Grattan-Guinness Book Review: \booktitleThe examiner. James Booth and the origins of common examinations: By Frank Foden. Leeds Studies in Adult and Continuing Education. Leeds (University of Leeds School of Continuing Education). 1989. vii + 221 pp. No price stated . . . . . 291--293 Anonymous Announcement . . . . . . . . . . . . . . 294--294 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 295--309 Anonymous Notes on contributors . . . . . . . . . 310--311 Anonymous Papers to appear in forthcoming issues 312--312
Ivor Grattan-Guinness The varieties of mechanics by 1800 . . . 313--338 Jean-Luc Chabert Un demi-si\`ecle de fractales: 1870--1920. (French) [A half-century of fractals: 1870--1920] . . . . . . . . . 339--365 Jean-Claude Martzloff A survey of Japanese publications on the history of Japanese traditional mathematics (wasan) from the last 30 years . . . . . . . . . . . . . . . . . 366--373 Anonymous Colloque international sur la vie et l'oeuvre de Girard Desargues . . . . . . 374--374 Anonymous Second annual Göttingen Workshop on the history of modern mathematics 1991: Mathematisches Institut der Universität Göttingen, Bunsenstraße 3--5, 3400 Göttingen, Federal Republic of Germany, July 15--17, 1991 . . . . . . . . . . . 374--375 Anonymous National Endowment for the Humanities Summer Seminar on Plato's \booktitleRepublic and Euclid's \booktitleElements: June 24--August 2, 1991 . . . . . . . . . . . . . . . . . . 375--376 Anonymous G. W. Leibniz: Mathematiker, Naturwissenschaftler, Techniker: Symposium on the Occasion of the Annual Convention of the Gesellschaft für Angewandte Mathematik und Mechanik Hanover, Auditorium Maximum of the Technische Universität, April 9--10, 1990 376--377 Anonymous Mathematical Sciences Past and Present: 300 Years of the Mathematische Gesellschaft in Hamburg Geomatikum, Universität Hamburg, Bundesstr. 55, 2 Hamburg 13, March 18--24, 1990 . . . . . 377--378 Anonymous Book Review: \booktitleR. G. Boscovich: His Life and Scientific Work: Istituto della Enciclopedia Italiana, Accademia Nazionale delle Scienze detta dei XL, Piazza Paganica 4, 00186 Roma, May 23--27, 1988 . . . . . . . . . . . . . . 378--380 Anonymous Symposium International --- G. W. Leibniz: Le meilleur des mondes: Domaine de Seillac, France, June 7--9, 1990 . . 380--380 David E. Rowe Workshop on the History of Modern Mathematics Göttingen, July 16--17, 1990 381--381 Dirk Struik and Adolf P. Yushkevich Remarks of Kirk J. Struik and Adolf P. Yushkevich on receiving the K. O. May Prize in Hamburg, August 3, 1990 (see \booktitleHistoria Mathematica \bf 17(1) (1990), 1--3) . . . . . . . . . . . . . 382--384 Anonymous A new yearbook for the history of science . . . . . . . . . . . . . . . . 384--384 David E. Rowe Book Review: \booktitleFelix Klein and Sophus Lie: Evolution of the idea of symmetry in the Nineteenth Century: By I. M. Yaglom. Translated by S. Sossinsky. Boston/Basel (Birkhäuser). 1988. vii + 237 pp. \$40.00} . . . . . . 385--389 John McCleary Book Review: \booktitleRiemann, topology, and physics: By Michael Monastyrsky. Boston, Basel, Stuttgart (Birkhäuser). 1987. xiii + 158 pp . . . . 389--390 I. Grattan-Guinness Book Review: \booktitleA list of certain letters inserted in books from the Library of Augustus de Morgan (1806--1871) now in the University of London Library: By Maxine Merrington. London (University of London Library). 1990. 34 pp. \pounds 2.00 . . . . . . . 391--391 I. Grattan-Guinness Book Review: \booktitleKurt Gödel. Collected works. Volume II. Publications 1938--1974: Editor-in-chief Solomon Feferman. New York and Oxford: Oxford University Press. 1990. xv + 407 pp. No price stated . . . . . . . . . . . . . . 392--393 David E. Zitaralli Abstracts . . . . . . . . . . . . . . . 394--414 Anonymous Notes on contributors . . . . . . . . . 415--416 Anonymous Papers to appear in forthcoming issues 417--417 Anonymous Index of authors of articles and reviews in volume 17 . . . . . . . . . . . . . . 418--418 Anonymous Index of authors of publications reviewed and abstracted in volume 17 . . 419--423
Mariano Hormigon García de Galdeano's works on algebra . . 1--15 U. Garibaldi and M. A. Penco Intensional vs extensional probabilities from their origins to Laplace . . . . . 16--35 Fritz Nagel A catalog of the works of Jacob Hermann (1678--1733) . . . . . . . . . . . . . . 36--54 Anonymous Mathematics and Mind: a Conference on the Philosophy of Mathematics at Amherst College, April 5--7, 1991 . . . . . . . 55--56 R. C. Gupta Seminar on Astronomy and Mathematics in Ancient and Medieval India: a Dialogue between Traditional Scholars and University-Trained Scientists . . . . . 56--62 Anonymous Mathematische Probleme im Mittelalter-Der lateinische und arabische Sprachbereich Wolfenbüttel, June 18--22, 1990 . . . . . . . . . . . 62--63 Fritz Nagel The life and work of Jacob Hermann: a Working Conference in Pisa, March 5--6, 1990 . . . . . . . . . . . . . . . . . . 64--65 Anonymous Summer school: On the relation between mathematics and its applications during the 18th and 19th century: Pfalzakademie Lambrecht (Neustadt/Weinstraße), May 14--18, 1990 . . . . . . . . . . . . . . 65--66 Ivo Schneider Book Review: \booktitleClassical probability in the enlightenment: By Lorraine Daston. Princeton, NJ (Princeton Univ. Press). 1988. xviii + 423 pp. including bibliography and index 67--67 Ivo Schneider Book Review: \booktitleThe rise of statistical thinking 1820--1900: By Theodore M. Porter. Princeton, NJ (Princeton Univ. Press). 1986. xii + 322 pp. including index . . . . . . . . . . 67--67 Ivo Schneider Book Review: \booktitleThe history of statistics --- The measurement of uncertainty before 1900: By Stephen M. Stigler. Cambridge, MA (Harvard University Press). 1986. xviii + 410 pp. including two appendices, suggested readings, bibliography, and index . . . 67--74 Eugene Seneta Book Review: \booktitleA history of probability and statistics and their applications before 1750: By Anders Hald. Wiley Series in Probability and Mathematical Statistics. New York (Wiley). 1990. xii + 586 pp . . . . . . 75--78 Joan L. Richards Book Review: \booktitleBoole: L'oiseau de nuit en plein jour: By Souleymane Bachir Diagne. Paris: Belin, 1989 . . . 79--79 Paul R. Wolfson Book Review: \booktitleMathematics and its history: By John Stillwell. New York (Springer-Verlag). 1989. 371 pp. \$49.80} . . . . . . . . . . . . . . . . 80--81 George B. Seligman Book Review: \booktitleA century of mathematics in America: 3 vols. Peter A. Duren, Ed. Providence, Rhode Island (American Mathematical Society). 1988 82--85 Erik Sageng Book Review: \booktitleThe development of Newtonian calculus in Britain, 1700--1800: By Niccol\`o Guicciardini. Cambridge/New York (Cambridge University Press). 1989. xii + 228 pp. \$54.50} . . 85--88 Anonymous Erratum . . . . . . . . . . . . . . . . 89--89 E. Zitarelli David Abstracts . . . . . . . . . . . . . . . 90--103 Anonymous Notes on contributors . . . . . . . . . 104--105 Anonymous Papers to appear in forthcoming issues 106--106
Wilbur R. Knorr On a medieval circle quadrature: \booktitleDe circulo quadrando . . . . . 107--128 Jacques Borowczyk Sur la vie et l'oeuvre de François Budan (1761--1840) . . . . . . . . . . . . . . 129--157 Edward Hogan ``A proper spirit is abroad:'' Peirce, Sylvester, Ward, and American mathematics, 1829--1843 . . . . . . . . 158--172 William C. Waterhouse An elementary interpretation of entry 12 in Gauss's Tagebuch . . . . . . . . . . 173--176 A. W. F. Edwards A note on Waring's Rule . . . . . . . . 177--177 Anonymous Contemporary trends in the historiography of science: Korfu, May 27--June 2, 1991 . . . . . . . . . . . . 178--178 Francine Abeles Sixteenth annual meeting: Canadian Society for History and Philosophy of Mathematics: University of Victoria, B.C., 31 May--1 June, 1990 . . . . . . . 178--179 Anonymous Giornata di studio di storia delle matematiche in onore del prof. Gino Arrighi: Modena, October 10, 1990. (Italian) [Day of study of the history of mathematics in honor of Prof. Gino Arrighi: Modena, October 10, 1990] . . . 180--180 Benno Artmann A meeting on Greek mathematics: Mathematisches Forschungsinstitut Oberwolfach, August 19--25, 1990 . . . . 180--180 Anonymous International colloquy: Le concept de vitesse en astronomie, en mathématiques, et en physique d'Archim\`ede \`a Galilée: Hotel Westminster--Concorde, Nice, June 8--10, 1990 . . . . . . . . . . . . . . 181--181 Anonymous Anniversary of the Deutsche Mathematiker-Vereinigung: Bremen, September 16--22, 1990 . . . . . . . . . 181--182 Anonymous Laboratoire d'histoire des sciences et des techniques CNRS-UPR 21 (Paris, France) . . . . . . . . . . . . . . . . 183--184 Alexei Volkov Dissertation on ``Matematika v drevnem Kitaie (3-7 vv.)'' . . . . . . . . . . . 185--187 Anonymous Book Review: \booktitleKepler's geometrical cosmology: J. V. Field. Chicago, IL (The University of Chicago Press). 1988. xx + 243 pp. \$37.50} . . 188--188 Anonymous Book Review: \booktitleKepler's Physical astronomy: (Studies in the History of Mathematics and Physical Sciences 13). Bruce Stephenson. New York, NY (Springer-Verlag). 1987. v + 217 pp. \$58.00} . . . . . . . . . . . . . . . . 188--194 Anonymous The proportions of the Pastos sun: Albis, Víctor Samuel. 1987. \booktitleBoletín de Matemáticas \bf 21(2--3), 110--134 . . . . . . . . . . . 195--205 Anonymous Notes on contributors . . . . . . . . . 206--207 Anonymous Papers to appear in forthcoming issues 208--208
S. S. Demidov and S. S. Petrova and A. P. Yushkevich Isabella Grigoryevna Bashmakova on the 70th anniversary of her birth . . . . . 209--211 Daiwie Fu Why did Liu Hui fail to derive the volume of a sphere? . . . . . . . . . . 212--238 Jean Christianidis '$ A \rho {\acute \i } \mu \eta \tau \iota \kappa \eta $ $ \Sigma \tau o \iota \chi \epsilon \iota \omega \sigma \iota \varsigma $: Un traité perdu de Diophante d'Alexandrie? . . . . . . . . 239--246 Bernd Fritzsche Einige Anmerkungen zu Sophus Lies Krankheit. (German) [Some notes on Sophus Lie's disease] . . . . . . . . . 247--252 Robert Ineichen Der schlechte Würfel --- Ein selten behandeltes Problem in der Geschichte der Stochastik. (German) [The bad die --- a rarely treated problem in the history of stochastics] . . . . . . . . 253--261 Anonymous First European congress of mathematics: Paris, July 6--10, 1992 . . . . . . . . 262--263 Anonymous Tagung zur Geschichte der Mathematik. (German) [Workshop on the history of mathematics] . . . . . . . . . . . . . . 263--263 Walter Purkert 30. Tagung zur Geschichte der mathematik: Mathematisches Forschungsinstitut Oberwolfach, 6.5-12.5. 1990. (German) [30th Meeting on the History of Mathematics: Mathematical Research Institute in Oberwolfach, 6--12 May, 1990] . . . . . 264--276 Herbert Breger International conference on le continu mathématique: Cerisy-la-Salle, France, September 11--21, 1990 . . . . . . . . . 277--277 Anonymous International symposium on structures in mathematical theories: Escuela de Magisterio, Campus of Gipuzkoa, Donostia-San Sebastian, Basque Country, Spain, September 25--29, 1990 . . . . . 278--279 Jean Dhombres Premi\`ere École d'été d'Histoire des Mathématiques: Herdade da Mitra, Evora, Portugal, 16--21 Juillet 1990 L'histoire des mathématiques: La méthode des textes 279--281 Anonymous Journées chaos et déterminisme: Association Henri Poincaré pour l'Histoire et la Philosophie des Mathématiques et de la Physique modernes, Institut Henri Poincaré 11, rue Pierre et Marie Curie, Paris 5\`e, France, 19--20 October 1990 . . . . . . . . . . . . . . 281--282 Jean-Claude Pont and Marco Panza La philosophie ouverte de F. Gonseth \`a l'épreuve de la géométrie: Geneva, Switzerland, December 14--15, 1990 . . . 282--282 Anonymous L'émergence de l'analyse harmonique abstraite, 1930--1950: Institut Henri Poincaré, 11, rue Pierre et Marie Curie, 75005 Paris, France, March 13, 1991 . . 283--283 Anonymous Book Review: \booktitlePopularizing mathematical methods in the People's Republic of China: Some personal experiences: By Hua Loo-Keng and Wang Yuan. Mathematical Modeling Series, Vol. 2. Boston (Birkhäuser Boston). 1989. 208 pp . . . . . . . . . . . . . . . . . . . 284--288 Anonymous Book Review: \booktitleHistory and philosophy of modern mathematics: Volume XI, Minnesota Studies in the Philosophy of Science. Edited by William Aspray and Philip Kitcher. Minneapolis, (University of Minnesota Press). 1988. 387 pages . . 288--291 René Taton Pierre Costabel (1912--1989) . . . . . . 292--295 Anonymous Abstracts . . . . . . . . . . . . . . . 296--306 Anonymous Notes on contributors . . . . . . . . . 307--308 Anonymous Papers to appear in forthcoming issues 309--309
Anonymous A. P. Yushkevich celebrates 85th birthday . . . . . . . . . . . . . . . . 311--311 A. I. Dale Thomas Bayes's work on infinite series 312--327 Dennis Weeks The life and mathematics of George Campbell, F.R.S. . . . . . . . . . . . . 328--343 Colin R. Fletcher A reconstruction of the Frenicle--Fermat correspondence of 1640 . . . . . . . . . 344--351 Anonymous Third Annual Göttingen Workshop on the History of Modern Mathematics: Mathematisches Institut de Universität Göttingen, Göttingen, Federal Republic of Germany, July 13--15, 1992 . . . . . . . 352--353 Anonymous International Congress of Mathematicians: Kyoto, Japan, August 21--29, 1990. The Tokyo History of Mathematics Symposium 1990 Tokyo, Japan, August 31--September 1, 1990 . . . . . . 353--356 Fritz Nagel The Life and Work of Jacob Hermann: a Working Conference, part 2 (Ravello, September 28--29, 1990), and part 3 (Pisa, February 25--26, 1991) . . . . . 357--357 M. J. Petry Hegel and Newtonianism . . . . . . . . . 357--361 Christa Binder Report on the Second Austrian Symposium on the History of Mathematics: Mathematics-\`a la mode?: Neuhofen an der Ybbs, Lower Austria, 22 to 28 October 1989 . . . . . . . . . . . . . . 361--362 G. Syta Voronoy memorial house . . . . . . . . . 363--363 Thomas Drucker Book Review: \booktitleZermelo's axiom of choice: Its origins, development and influence: By Gregory H. Moore. New York: Springer-Verlag. 1982. xiv + 410 pp . . . . . . . . . . . . . . . . . . . 364--369 Brian J. Parshall Book Review: \booktitleNathan Jacobson: Collected mathematical papers: By Nathan Jacobson. Boston, Basel, Berlin (Birkhäuser). 1989. 3 Vols. xviii + 1606 pp . . . . . . . . . . . . . . . . . . . 370--372 Jeremy Gray Book Review: \booktitleA history of non-Euclidean geometry: Evolution of the concept of a geometric space: By B. A. Rosenfeld. Translated by Abe Shenitzer. With the editorial assistance of Hardy Grant. New York (Springer-Verlag). 1988. xi + 471 pp . . . . . . . . . . . . . . 373--374 Jeremy Gray Book Review: \booktitleA history of algebraic and differential topology, 1900--1960: By Jean Dieudonné. Boston and Basel (Birkhäuser). 1989. xxi + 648 pp 374--377 Branko Grünbaum and Marjorie Senechal Book Review: \booktitleSymmetrie--Gruppe--Dualität: By Erhard Scholz. Basel (Birkhäuser). 1980. 406 pp . . . . . . . . . . . . . . . . . 377--380 Eberhard Knobloch Evert Marie Bruins (1909--1990) . . . . 381--389 Curtis Wilson Eric John Aiton (1920--1991) . . . . . . 390--392 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 393--402 Anonymous Notes on contributors . . . . . . . . . 403--404 Anonymous Papers to appear in forthcoming issues 405--405 Anonymous Index of authors of articles and reviews in volume 18 . . . . . . . . . . . . . . 406--406 Anonymous Index of authors of publications reviewed and abstracted in volume 18 . . 407--410
Joseph W. Dauben A message to readers of \booktitleHistoria Mathematica . . . . . 1--3 Craig G. Fraser Isoperimetric problems in the variational calculus of Euler and Lagrange . . . . . . . . . . . . . . . . 4--23 E. Seneta On the history of the Strong Law of Large Numbers and Boole's inequality . . 24--39 Karl H. Hofmann Zur Geschichte des Halbgruppenbegriffs. (German) [On the history of the concept of semigroups] . . . . . . . . . . . . . 40--59 Robert Weinstock Newton's Principia and inverse-square orbits: the flaw reexamined . . . . . . 60--70 M. R. Chowdhury W. H. Young at Aberystwyth . . . . . . . 71--75 I. Grattan-Guinness A note on The Educational Times and Mathematical Questions . . . . . . . . . 76--78 Anonymous Development of mathematics from 1900 to 1950: Château de Bourglinster, June 29--30, 1992 . . . . . . . . . . . . . . 79--79 Anonymous Un colloque international: Le travail scientifique dans les correspondances entre savants au tournant des 17$^e$ et 18$^e$ si\`ecles: Auditorium de la Biblioth\`eque National, Paris, 10--13 juin 1992 . . . . . . . . . . . . . . . 79--80 Anonymous Conference on Hermann G. Grassmann in 1994 . . . . . . . . . . . . . . . . . . 81--81 A. W. F. Edwards Celebration of the centenary of the birth of Sir Ronald Aylmer Fisher, 1990 81--82 Anonymous Innovation et transmission dans les mathématiques arabes (VIII$^e$--XV$^e$ si\`ecles): Institut du Monde Arabe, 1, rue des Foss\`es--Saint-Bernard 75005 Paris, France, 25--27 octobre 1990 . . . 83--83 Anonymous Third Maghribian Symposium on the History of Arabic Mathematics: Algiers, December 1--3, 1990 . . . . . . . . . . 83--84 Alejandro R. Garciadiego II International Colloquium on the History and Philosophy of Mathematics: December 10--13, 1990 . . . . . . . . . 84--87 Anonymous American Mathematical Society Annual Winter Meeting: San Francisco, January 16--19, 1991 . . . . . . . . . . . . . . 87--87 Anonymous World directory of historians of mathematics: Third edition in preparation . . . . . . . . . . . . . . 88--89 Angelo Guerraggio and Pietro Nastasi Italian mathematics of the 19th and 20th centuries. Publication of correspondence 91--92 John Ewing Book Review: \booktitleThe history of modern mathematics: Edited by David E. Rowe and John McCleary. San Diego (Academic Press). 2 vols., xvi + 453 and xvi + 325 pp, \$39.50 each} . . . . . . 93--98 Jean P. Christianidis and Nikos Kastanis Evangelos S. Stamatis (1898--1990) . . . 99--105 Henk J. M. Bos Hans Freudenthal (1905--1990) . . . . . 106--108 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 109--121 Anonymous Papers to appear in forthcoming issues 124--124
S. de Mora-Charles Quelques jeux de hazard selon Leibniz: (Manuscrits inédits). (French) [Some games of chance according to Leibniz: unpublished manuscripts] . . . . . . . . 125--157 R. P. Burn Irrational numbers in English language textbooks, 1890--1915: Constructions and postulates for the completeness of the real numbers . . . . . . . . . . . . . . 158--176 Catherine Goldstein On a seventeenth century version of the ``fundamental theorem of arithmetic'' 177--187 Gregg de Young Is\.h\=aq ibn Hunayn, Hunayn ibn Is\.h\=aq, and the third Arabic translation of Euclid's \booktitleElements . . . . . . . . . . . 188--199 Guo Shuchun Guo Shuchun's edition of the \booktitleJiu Zhang Suan Shu: (Nine chapters on the mathematical art) . . . 200--202 Anonymous International Symposium on the 100th Anniversaries of the Births of Li Yan and Qian Baozong: Beijing, August 21--23, 1992 . . . . . . . . . . . . . . 203--204 Anonymous Fourth Midwest Math History Conference: Miami University, Oxford, Ohio, October 2--3, 1992 . . . . . . . . . . . . . . . 204--204 Anonymous Third Austrian Symposion on the History of Mathematics: Neuhofen, November 8--14, 1992 . . . . . . . . . . . . . . 205--205 Anonymous International Conference: Contemporary Trends in the Historiography of Science: Korfu, May 27--31, 1991 . . . . . . . . 205--206 Luigi Pepe European mathematics during the XVth Century: Istituto Nazionale di alta matematica, Cortona, Italy, June 24--28, 1991 . . . . . . . . . . . . . . . . . . 206--207 I. Grattan-Guinness The Babbage/Faraday Bicentenary Conference: Cambridge University, England, July 5--7, 1991 . . . . . . . . 207--207 Frank J. Swetz The International Conference on the History of Mathematics and Education in History of Mathematics: Baotou, Inner Mongolia, The People's Republic of China, August 9--14, 1991 . . . . . . . 208--209 Paul L. Butzer and Dietrich Lohrmann and Ludwig Falkenstein 4. Aachen Alcuin Symposium Science and History in Western and Eastern Civilization, 8th and 9th Centuries: Aachen, Germany, September 25--28, 1991 209--210 Anonymous Fourteenth Meeting of the Study Group ``History, Philosophy and Foundations of Mathematics'': Gosen (near Berlin), October 14--16, 1991 . . . . . . . . . . 210--210 Anonymous Annual Meeting of the Deutsche Mathematiker-Vereinigung Section History of Mathematics: Bielefeld, Germany, October 16--20, 1991 . . . . . . . . . . 211--211 Anonymous Colloquio internazionale: Dalla geometria al calcolo 1637--1704: Palazzo Serra di Cassano, Via Monte di Dio, 14, Naples, Italy, October 29--31, 1991 . . 211--212 Anonymous Rencontre internationale Histoire des Mathématiques: Universidad Complutense, Facultad de Matématicas (edificio nuevo), Ciudad Universitaria, Madrid, Spain, November 18--22, 1991 . . . . . . . . . 213--214 Ronald Calinger Book Review: \booktitleIntroduction to analysis of the infinite, book I: By Leonhard Euler; translated by John D. Blanton. New York (Springer-Verlag). 1988. xiii + 327 pp . . . . . . . . . . 214--216 Günther Frei Book Review: \booktitleHermann Weyl 1885--1985: Edited by K. Chandrasekharan. Berlin/Heidelberg/New York (Springer-Verlag). 1986. vi + 109 pp. No price given . . . . . . . . . . . 217--229 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 230--230 Anonymous Papers to appear in forthcoming issues 231--231
D. H. Fowler An invitation to read Book X of Euclid's \booktitleElements . . . . . . . . . . . 233--264 José Chabás and Bernard R. Goldstein Nicholaus de Heybech and his table for finding true syzygy . . . . . . . . . . 265--289 Anonymous Luncheon and symposium: 20 years of \booktitleHistoria Mathematica . . . . . 290--291 Anonymous Second meeting of the Fachsektion Geschichte der Mathematik der Deutschen Mathematiker-Vereinigung . . . . . . . . 291--291 Anonymous Renaissance mathematics . . . . . . . . 291--292 Anonymous Les jésuites et les sciences dans l'Europe de la Renaissance (XVIe--XVIIe s.) . . . . . . . . . . . . . . . . . . 292--292 Anonymous Zweite Novembertagung zur Geschichte der modernen Mathematik. (German) [Second November meeting on the history of modern mathematics] . . . . . . . . . . 292--293 Anonymous Colloque pour le quatri\`eme centenaire de Girard Desargues (1591--1661) . . . . 293--294 Anonymous Research in progress . . . . . . . . . . 294--295 Laura Nurzia The research group on history of mathematics at the university of Rome ``La Sapienza'' . . . . . . . . . . . . 296--302 Anonymous The Oxford dictionary of scientific quotation . . . . . . . . . . . . . . . 302--302 Karen Hunger Parshall Book Review: \booktitleConvolutions in French mathematics, 1800--1840: By Ivor Grattan-Guinness. Science Networks: Historical Studies, Vol. 2. Basel, Boston, Berlin (Birkhäuser). 1990. 3 Vols. 1602 pp. DM 398 . . . . . . . . . 303--310 Karen Hunger Parshall Book Review: \booktitleEthnomathematics: a multicultural view of mathematical ideas: By Marcia Ascher. Pacific Grove, CA (Brooks/Cole Publishing Co.). 1991. xii + 203 pp. including Index . . . . . 310--310 Victor J. Katz Book Review: \booktitleThe crest of the peacock: Non-European roots of mathematics: By George Gheverghese Joseph. London (I. B. Tauris & Co., Ltd) and New York (St. Martin's Press). 1991. xvi + 368 pp. including Bibliography and Index . . . . . . . . . . . . . . . . . 310--315 Anonymous Book Review: \booktitleNorbert Wiener: 1894--1964: By P. R. Masani, Basel, Boston, Berlin (Birkhäuser). 1990. 416 pp 316--319 Anonymous Book Review: \booktitleLa France mathématique. La société mathématique de France (1870--1914): By H. Gispert, with essays by R. Bkouche, C. Gilain, C. Houzel, J.-P. Kahane, and M. Zerner. Cahiers d'Histoire et de Philosophie des Sciences, new series, No. 34. Paris (Belin). 1991. 425 pp. 95Ffr . . . . . . 319--322 Anonymous Book Review: \booktitleThe invisible hand: Economic equilibrium in the history of science: By Bruna Ingrao and Giorgio Israel. Trans. Ian McGilvray. Cambridge, MA (The MIT Press). 1990. xiii + 491 pp. \$49.95} . . . . . . . . 322--323 Anonymous Book Review: \booktitleDie Streitschriften von Jacob und Johann Bernoulli, variationsrechnung: Bearbeitet und kommentiert von Herman H. Goldstine, mit historischen Anmerkungen von Patricia Radelet-de Grave. Basel, Boston, Berlin (Birkhäuser). 1991. xxv + 604 pp. . . . . . . . . . . . . . . . . 323--324 Chirstoph J. Scriba Clas-Olof Selenius (1922--1991) . . . . 325--327 Anonymous Abstracts: Edited by David E. Zitarelli 328--337 Anonymous Notes on contributors . . . . . . . . . 338--339 Anonymous Papers to appear in forthcoming issues 340--340
Detlef Laugwitz ``Das letzte Ziel ist immer die Darstellung einer Funktion'': Grundlagen der analysis bei Weierstraß 1886, historische Wurzeln und Parallelen. (German) [``The ultimate goal is always the representation of a Function'': Fundamentals of analysis by Weierstraß, 1886, historical roots and parallels] 341--355 J. J. Tattersall Nicholas Saunderson: the blind Lucasian professor . . . . . . . . . . . . . . . 356--370 Dhruv Raina Mathematical foundations of a cultural project or Ramchandra's treatise ``through the unsentimentalised light of mathematics'' . . . . . . . . . . . . . 371--384 Steven H. Schot Eighty years of Sommerfeld's radiation condition . . . . . . . . . . . . . . . 385--401 Herman Erlichson Newton's solution to the equiangular spiral problem and a new solution using only the equiangular property . . . . . 402--413 A. I. Dale On the authorship of ``A Calculation of the Credibility of Human Testimony'' . . 414--417 David H. Fowler Dýnamis, mithartum, and square . . . . . 418--419 Anonymous Colloque international: Les Enfants du Si\`ecle: Sciences et savants dans la France de l'époque romantique (1815--1830) . . . . . . . . . . . . . . 420--421 Anonymous Fourth Annual Göttingen Workshop on the History of Modern Mathematics: Mathematisches Institut der Georg-August-Universität Göttingen, July 12--14, 1993 . . . . . . . . . . . . . . 421--421 Anonymous Third Annual Göttingen Workshop on the History of Modern Mathematics: July 13--15, 1992 . . . . . . . . . . . . . . 422--423 Anonymous Ancient mathematics in Islamic and Occidental cultures: Tradition, transmission, transformation University of Oklahoma, March 6--7, 1992 . . . . . 423--423 Anonymous Mythes et Réalités historiques de l'Europe mathématique: Paris, April 3--6, 1992 . . 424--425 Anonymous Mathematics and music: Oxford, May 2--3, 1992 . . . . . . . . . . . . . . . . . . 425--425 Anonymous 30th Oberwolfach Meeting, Geschichte der Mathematik, May 10--16, 1992: Mathematisches Forschungsinstitut Oberwolfach, Lorenzenhof, 7620 Oberwolfach-Walke, Germany . . . . . . . 426--427 Anonymous $ \rho $\`eme colloque inter-I.R.E.M. Epistémologie et Histoire des Mathématiques: Histoire d'Infinis Brest, May 22--23, 1992 . . . . . . . . . . . . 427--427 Anonymous International colloquy: Le travail scientifique dans les correspondances entre savants au tournant des 17e et 18e si\`ecles Auditorium de la Biblioth\`eque nationale, 2 rue Vivienne, 75002 Paris, France, June 10--13, 1992 . . . . . . . . . . . . . . 428--429 Anonymous Colloque: Le développement des mathématiques entre 1900 et 1950: Château de Bourglinster, Luxembourg, June 29--30, 1992 . . . . . . . . . . . . . . 429--429 Anonymous Adam Ries colloquy: Adam Ries --- Humanist, Rechenmeister, Bergbeamter, Annaberg-Buchhoz, July 18, 1992 . . . . 429--430 Anonymous International Symposium on Early Greek Mathematics: University of Athens, Athens, Greece, August 17--21, 1992 . . 430--430 Anonymous Book Review: \booktitleThe taming of chance: Ian Hacking. Cambridge/New York (Cambridge University Press). 1990. xiii + 264 pp. \$60.00} . . . . . . . . . . . 431--435 Anonymous Book Review: \booktitleMathematische schriften: 7th Ser., Vol. 1. By G. W. Leibniz; edited by Eberhard Knobloch and Walter S. Contro. Berlin (Akademie-Verlag). 1990. 954 + xxxix pp 435--437 Boris A. Rosenfeld A\.hmad Salim Sa'idan (1914--1991) . . . 438--439 Anonymous Bibliography of publications of A\.hmad Salim Sa'idan (1914--1991) on the history of mathematics and astronomy in Islamic civilization, and list of medieval Arabic texts published by him 439--443 Anonymous Abstracts: Edited by David E. Zitarelli 444--456 Anonymous Notes on contributors . . . . . . . . . 457--458 Anonymous Papers to appear in forthcoming issues 459--459 Anonymous Index of authors of articles and reviews in volume 19 . . . . . . . . . . . . . . 460--460 Anonymous Index of authors of publications reviewed and abstracted in volume 19 . . 461--464
Joseph W. Dauben A 20th Anniversary Message from the International Commission on the History of Mathematics . . . . . . . . . . . . . 1--4 Günther Frei Bartel Leendert van der Waerden: Zum 90. Geburtstag. (German) [Bartel Leendert van der Waerden's 90th Birthday] . . . . 5--11 Herbert Pieper On Euler's contributions to the four-squares theorem . . . . . . . . . . 12--18 Tinne Hoff Kjeldsen The Early History of the Moment Problem 19--44 Gert Schubring Bernard Bolzano --- Not as unknown to his contemporaries as is commonly believed? . . . . . . . . . . . . . . . 45--53 Louise Ahrndt Golland and Ronald William Golland Euler's troublesome series: an early example of the use of trigonometric series . . . . . . . . . . . . . . . . . 54--67 Julia Nicholson The development and understanding of the concept of quotient group . . . . . . . 68--88 William C. Waterhouse Harmonic means and Diophantus I.39 . . . 89--91 Frederic F. Burchsted New Archives of American Mathematics Collections . . . . . . . . . . . . . . 92--94 Anonymous Mathematics in Iberia in the Golden Age: 31 March--3 April 1993 . . . . . . . . . 95--95 Anonymous European Mathematics 1848--1939: Gonville and Caius College, Cambridge, September 11--13, 1992 . . . . . . . . . 95--96 Anonymous Mathematik am Beginn der Neuzeit International Colloquy: Sächsische Akademie der Wissenschaften, Leipzig, Germany, October 15, 1992 . . . . . . . 96--96 Anonymous Deutsche Mathematiker-Vereinigung: Annual Meeting: Berlin, September 14--18, 1992 . . . . . . . . . . . . . . 96--97 Guo Shirong The Second International Symposium on the History of Mathematics and Mathematical Education in the Regions Using Chinese Characters . . . . . . . . 97--98 Jens Hòyrup Reviewed by Jens Hòyrup . . . . . . . . . 99--103 Anonymous Abstracts . . . . . . . . . . . . . . . 104--116 Anonymous Notes on contributors . . . . . . . . . 117--118 Anonymous Papers to appear in forthcoming issues 119--119
Eberhard Knobloch For Matthias Schramm on his sixty-fifth birthday . . . . . . . . . . . . . . . . 121--125 Reinhard Bölling Zum ersten Mal: Blick in einen Brief Kowalewskajas an Weierstraß. (German) [For the first time: A view of a letter of Kowalewskaja to Weierstrass] . . . . 126--150 Francine F. Abeles Charles L. Dodgson's geometric approach to arctangent relations for Pi . . . . . 151--159 Jean-Claude Martzloff Eléments de réflexion sur les réactions chinoises \`a la géométrie euclidienne \`a la fin du XVlle si\`ecle --- Le \booktitleJihe lunyue \`a de \booktitleDu Zhigeng \{Du Zhigeng \{b\} \{b\} vu principalement {\`a} partir de la préface de l'auteur et deux notices bibliographiques rédigées par des lettres illustrés . . . . . . . . . . . . . . . . 160--179 Wilbur R. Knorr Arithmêtikê stoicheiôsis: On Diophantus and Hero of Alexandria . . . . . . . . . . . 180--192 Wilbur R. Knorr On an alleged error in Archimedes' \booktitleConoids, Prop. 1 . . . . . . . 193--197 Anonymous Fourth international colloquium on the philosophy and history of mathematics. First Colombian colloquium on the history, philosophy and pedagogy of mathematics . . . . . . . . . . . . . . 198--198 Anonymous International congress Henri Poincaré . . 199--199 Anonymous Premi\`ere Université d'Eté Européenne: Histoire des mathématiques . . . . . . . 199--199 Anonymous Le quatri\`eme colloque maghrébin international sur l'histoire des mathématiques arabes . . . . . . . . . . 199--200 Anonymous Third Austrian Symposium on the History of Mathematics . . . . . . . . . . . . . 201--201 Klaus Volkert Colloquium Heinrich Weber: Heidelberg, May 16, 1992 . . . . . . . . . . . . . . 201--202 Anonymous Iberia in the Golden Age: Mathematical sciences and their uses, 1500--1700 . . 202--203 Anonymous GEHIMAB: a new association for history of mathematics . . . . . . . . . . . . . 204--204 Anonymous Book Review: \booktitleJoseph Lionville 1809--1882. Master of Pure and Applied Mathematics: Jesper Lützen. New York/Berlin/Heidelberg/London/Paris/Tokyo/Hong Kong (Springer-Verlag). 1990. xix + 884 pp. \$98.00} 205--210 Anonymous Book Review: \booktitleThe Space of Mathematics. Philosophical, Epistemological, and Historical Explorations: Edited by Javier Echeverria, Andoni Ibarra, and Thomas Mormann. Berlin, New York (de Gruyter). 1992. xvi + 422 pp. With an index of names . . . . . . . . . . . . . . . . . 210--215 Anonymous Book Review: \booktitleThe Mathematical Philosophy of Bertrand Russell: Origins and Development: By Francisco Rodriguez-Consuegra. Boston, Basel, Berlin (Birkhäuser). 1991. xvi + 236 pp. 216--220 Anonymous Book Review: \booktitleBefore Writing. Vol. 1. From Counting to Cuneiform: By Denise Schmandt-Besserat. Austin, TX (University of Texas Press). 1992. xviii + 269 pp. 175 photos, 43 line drawings, 6 tables, 16 charts. \$60.00} . . . . . 220--222 Anonymous Abstracts . . . . . . . . . . . . . . . 223--235 Anonymous Notes on contributors . . . . . . . . . 236--237 Anonymous Papers to appear in forthcoming issues 238--238
G. P. Matvievskaya History of medieval Islamic mathematics: Research in Uzbekistan . . . . . . . . . 239--246 Oscar B. Sheynin Chuprov, Slutsky, and Chetverikov: Some comments . . . . . . . . . . . . . . . . 247--254 Benno Artmann and Lothar Schäfer On Plato's ``fairest triangles'' (Timaeus 54a) . . . . . . . . . . . . . 255--264 Hans Niels Jahnke Algebraic analysis in Germany, 1780--1840: Some Mathematical and Philosophical Issues . . . . . . . . . . 265--284 Elena Anne Marchisotto Mario Pieri and his contributions to geometry and foundations of mathematics 285--303 Peter Schreiber A note on the cattle problem of Archimedes . . . . . . . . . . . . . . . 304--306 Klaus Volkert On Helmholtz' Paper ``\booktitleÜber die thatsächlichen Grundlagen der Geometrie'' 307--309 R. C. Gupta Indian doctoral theses in the field of history of mathematics . . . . . . . . . 310--314 Ana Millán International symposium mathematical journals. Centenary of El Progreso Matematico (1891--1991) Zaragoza, Spain, September 19--21, 1991 . . . . . . . . . 315--317 Anonymous Christoph Clavius e l'attivitá scientifica dei jesuiti nell' etá di Galileo. International Conference, April 28--30, 1993 . . . . . . . . . . . . . . 317--317 Clóvis Pereira Da Silva The research group on history of mathematics at the Federal University of Paraná . . . . . . . . . . . . . . . . . 318--319 David E. Rowe Book Review: \booktitleRevolutions in mathematics: Edited by Donald Gillies. Oxford (Clarendon Press). 1992. 353 pp. \pounds 55 . . . . . . . . . . . . . . . 320--323 Anonymous Abstracts . . . . . . . . . . . . . . . 324--339 Anonymous Notes on contributors . . . . . . . . . 340--341 Anonymous Papers to appear in forthcoming issues 342--342
José Ferreirós On the relations between Georg Cantor and Richard Dedekind . . . . . . . . . . 343--363 Reinhard Siegmund-Schultze Hilda Geiringer-von Mises, Charlier series, ideology, and the human side of the emancipation of applied mathematics at the University of Berlin during the 1920s . . . . . . . . . . . . . . . . . 364--381 Erwin Neuenschwander Der Nachlass von Erich Bessel-Hagen im archiv der Universität Bonn. (German) [The legacy of Erich Bessel-Hagen in the archive of the University of Bonn] . . . 382--414 Luis Manuel Ribeiro Saraiva On the first history of Portuguese mathematics . . . . . . . . . . . . . . 415--427 Jan Von Plato Oresme's proof of the density of rotations of a circle through an irrational angle . . . . . . . . . . . . 428--433 Anonymous 14th summer school of Czech historians of mathematics: Manetín--BRDO, Czechia, May 31--June 4, 1993 . . . . . . . . . . 434--434 Anonymous International congress for the advancement of science and technology in the Islamic World: Teheran University, Teheran, Iran, May 17--19, 1993 . . . . 435--435 Anonymous Kurt Gödel's collected works . . . . . . 436--436 Joseph W. Dauben Book Review: \booktitleHistoire des mathématiques chinoises: Jean-Claude Martzloff. Paris (Masson). 1988. xx + 375 pp. . . . . . . . . . . . . . . . . 437--446 Anonymous Abstracts . . . . . . . . . . . . . . . 447--459 Anonymous Erratum . . . . . . . . . . . . . . . . 460--463 Anonymous Notes on contributors . . . . . . . . . 464--464 Anonymous Papers to appear in forthcoming issues 465--465 Anonymous Index of authors of articles and reviews in volume 20 . . . . . . . . . . . . . . 466--466 Anonymous Index of authors of publications reviewed and abstracted in volume 20 . . 467--471
Joseph W. Dauben A message to readers of \booktitleHistoria Mathematica from the Past Chairman of the International Commission on History of Mathematics . . 1--2 Eberhard H. Knobloch A Message from the International Commission on the History of Mathematics 3--3 David E. Rowe and Karen Hunger Parshall Editorial . . . . . . . . . . . . . . . 5--7 Menso Folkerts Second Kenneth O. May Prize awarded in Zaragoza . . . . . . . . . . . . . . . . 8--9 P. Nastasi and A. Scimone Pietro Mengoli and the six-square problem . . . . . . . . . . . . . . . . 10--27 Robert Ineichen Der ``Vierfeldertest'' von Carl Liebermeister (Bemerkungen zur Entwicklung der medizinischen Statistik im 19. Jahrhundert). (German) [The ``Four-Fields Test'' of Carl Liebermeister (Comments on the development of medical statistics in the 19th Century)] . . . . . . . . . . . . . 28--38 Hans Fischer Dirichlet's contributions to mathematical probability theory . . . . 39--63 Detlef Laugwitz and Erwin Neuenschwander Riemann and the Cauchy--Hadamard formula for the convergence of power series . . 64--70 Anonymous Bibliography of publications by B. L. van der Waerden since 1983 on ancient and medieval science . . . . . . . . . . 71--72 Anonymous Meetings . . . . . . . . . . . . . . . . 73--73 Annette Vogt Symposium on history of mathematics and mathematics teaching: BRDO/Manetin, Czechia, April 2--4, 1993 . . . . . . . 74--74 Sabine Koelblen Journée sur la théorie des proportions: Paris, Centre Koyré, May 22, 1993 . . . . 74--75 Anonymous 2nd Gauss Symposium . . . . . . . . . . 75--75 Anonymous George Green: a Bicentennial Celebration 76--76 Anonymous XIXth International Congress of History of Science . . . . . . . . . . . . . . . 76--84 Anonymous Scientific Sections . . . . . . . . . . 84--85 Anonymous Fourth Annual Göttingen Workshop on the History of Modern Mathematics . . . . . 85--87 Catherine Goldstein and Paul R. Wolfson Book Review: Amy Dahan Dalmedico, Editor, \booktitleMathématisations. Augustin-Louis Cauchy et l'école française (1993) 460 Argenteuil (Editions du Choix) and Paris (Albert Blanchard), 260 Ftr . . . . . . . . . . . . . . . . . . 88--93 Catherine Goldstein and Paul R. Wolfson Book Review: \booktitleMathématisations. Augustin-Louis Cauchy et l'école française, Amy Dahan Dalmedico (Ed.) (1993), 460 . . . . . . . . . . . . . . 88--93 Jeremy Gray Book Review: \booktitleA. N. Kolmogorov, A. P. Yushkevich, Editors, Mathematics of the 19th century: Mathematical logic, algebra, number theory, probability Theory (1992) Birkhäuser,Boston and Basel 308 \$149.50} . . . . . . . . . . . . . 93--94 Jeremy Gray Book Review: \booktitleMathematics of the 19th century: Mathematical logic, algebra, number theory, probability theory, A. N. Kolmogorov, A. P. Yushkevich (Eds.). Birkhäuser, Boston and Basel (1992), 308 . . . . . . . . . . . 93--94 Robin E. Rider Book Review: \booktitleOperations Analysis in the U.S. Army Eighth Air Force in World War II, 4, Charles W. McArthur, in: History of Mathematics (1990), xxiv + 349 . . . . . . . . . . . 95--96 Anonymous Abstracts . . . . . . . . . . . . . . . 97--116 Anonymous Notes on contributors . . . . . . . . . 117--118 Anonymous Papers to appear in forthcoming issues 119--119
Ad Meskens Wine gauging in late 16th- and early 17th-Century Antwerp . . . . . . . . . . 121--147 Herman Erlichson The visualization of quadratures in the mystery of corollary 3 to proposition 41 of Newton's Principia . . . . . . . . . 148--161 Ahmet G. Agargün and Colin R. Fletcher Al-Farisi and the Fundamental Theorem of Arithmetic . . . . . . . . . . . . . . . 162--173 Oscar Sheynin Ivory's treatment of pendulum observations . . . . . . . . . . . . . . 174--184 Karl-Heinz Schlote and Uwe Dathe Die Anfänge von Gottlob Freges wissenschaftlicher Laufbahn. (German) [The beginnings of Gottlob Frege's scientific career] . . . . . . . . . . . 185--195 Curtis Wilson Newton on the equiangular spiral: an addendum to Erlichson's account . . . . 196--203 I. Grattan-Guinness Contributing to the educational times: Letters to W. J. C. Miller . . . . . . . 204--205 Anonymous Meetings . . . . . . . . . . . . . . . . 206--206 Anonymous 4. Novembertagung zur Geschichte der modernen Mathematik: Universität Mainz, Deutschland, 31. Oktober-2. November 1993 . . . . . . . . . . . . . . . . . . 207--207 Guo Shirong The symposium on history of science on the occasion of the founding of the Institute for the History of Science at Inner Mongolia Normal University . . . . 207--208 Anonymous Beijing seminar on the history of mathematics: Institute of Mathematics, Academia Sinica, October 11--15, 1993 208--208 Michael Scanlan Book Review: \booktitlePerspectives on the History of Mathematical Logic: Edited by Thomas Drucker. Boston, Basel, Berlin (Birkhauser). 1991. xxiii + 195 pp. With an index of names . . . . . . . 209--214 Judith V. Grabiner Book Review: \booktitleAugustin-Louis Cauchy: a Biography: By Bruno Belhoste. Translated by Frank Ragland. New York, Berlin, Heidelberg, London, Paris, Tokyo, Hong Kong, Barcelona (Springer-Verlag). 1991. \$79.00}. . . . 215--220 Karine Chemla Book Review: \booktitleLes Méthodes rapides pour la trigonométrie et le rapport précis du cercle (1774). Tradition chinoise et apport occidental en mathématiques: By Catherine Jami, with a foreword by Jacques Gernet. Memoires de l'Institut des Hautes Études Chinoises, Vol. XXXII. Paris (Collége de France, Institut des Hautes Études Chinoises). 1990. 230 pp. . . . . . . . 220--224 Anonymous Abstracts . . . . . . . . . . . . . . . 225--240 Anonymous Notes on contributors . . . . . . . . . 241--242 Anonymous Papers to appear in forthcoming issues 243--243
David E. Rowe Dirk Jan Struik and his contributions to the history of mathematics . . . . . . . 245--273 Helen May Walther Reminiscences of a former M.I.T. student 274--275 Dirk J. Struik On my trip to Europe, August 1--9, 1989 276--279 Gerard Alberts On connecting socialism and mathematics: Dirk Struik, Jan Burgers, and Jan Tinbergen . . . . . . . . . . . . . . . 280--305 Reinhard Siegmund-Schultze ``Scientific control'' in mathematical reviewing and German--U.S.--American relations between the two World Wars . . 306--329 Lorraine Daston How probabilities came to be objective and subjective . . . . . . . . . . . . . 330--344 Paulus Gerdes On mathematics in the history of Sub-Saharan Africa . . . . . . . . . . . 345--376 John McCleary On Jacobi's remarkable curve theorem . . 377--385 Anonymous Abstracts . . . . . . . . . . . . . . . 386--396 Anonymous Notes on contributors . . . . . . . . . 397--398 Anonymous Papers to appear in forthcoming issues 399--399
Jeffrey Shallit Origins of the analysis of the Euclidean algorithm . . . . . . . . . . . . . . . 401--419 A. Belcastro and G. Fenaroli and A. C. Garibaldi Considerazioni di Giovanni Rizzetti sul calcolo delle probabilit\`a e sul teorema di Jakob Bernoulli . . . . . . . 420--452 E. Seneta Carl Liebermeister's hypergeometric tails . . . . . . . . . . . . . . . . . 453--462 James Evans Book Review: \booktitleL'Oeuvre de Torricelli: Science galiléenne et nouvelle géométrie. Publications de la Faculté des Lettres et Sciences Humaines de Nice, François De Gandt (Ed.). Les Belles Lettres, Paris (1987), 247 . . . 463--464 Ken Saito Book Review: \booktitleEuclides reformatus: La teoria delle proporzioni nella scuola galileiana, Enrico Giusti. Bollati Boringhieri, Turin (1993), 348 465--468 Anonymous Abstracts . . . . . . . . . . . . . . . 469--482 Anonymous Notes on contributors . . . . . . . . . 483--484 Anonymous Papers to appear in forthcoming issues 485--485 Anonymous Index of authors of articles and reviews in volume 21 . . . . . . . . . . . . . . 486--486 Anonymous Index of authors of publications reviewed and abstracted in volume 21 . . 487--491
Jan P. Hogendijk Al-Mu'taman ibn Hud, 11th Century King of Saragossa and brilliant mathematician 1--18 Ronald Gowing Halley, Cotes, and the nautical meridian 19--32 José Ferreirós ``What fermented in me for years'': Cantor's discovery of transfinite numbers . . . . . . . . . . . . . . . . 33--42 Margherita Benzi Dubbiezze e controversie: Il dibattito su logica e probabilitá in Italia nei primi anni del Novecento. (Italian) [Doubts and controversies: the debate on logic and probability in Italy in the early years of the twentieth century] 43--63 Gulnava Yussupova Zwei mittelalterliche arabische Ausgaben der ``\booktitleSphaerica'' des Menelaos von Alexandria. (German) [Two medieval Arabic editions of the ``\booktitleSphaerica'' of Menelaus of Alexandria] . . . . . . . . . . . . . . 64--66 Jean-Claude Martzloff Book Review: \booktitleFleeting footsteps: Tracing the conception of arithmetic and algebra in ancient China: By Lam Lay Yong and Ang Tian Se. Singapore (World Scientific). 1992. xvi + 199 pp. 15 \pounds . . . . . . . . . . 67--73 Roger Cooke Book Review: \booktitleBriefwechsel zwischen Karl Weierstraß and Sofja Kowalewskaja: Edited with an introduction and commentary by Reinhard Bölling. Berlin (Akademie-Verlag). 1993. 504 pp. . . . . . . . . . . . . . . . . 73--77 Albert C. Lewis Book Review: \booktitleThe search for E. T. Bell, also known as John Taine: By Constance Reid. Washington, D.C. (The Mathematical Association of America). 1993. x + 372 pp. \$35.00} . . . . . . . 78--80 Maurice Caveing Book Review: \booktitleMathématiques Égyptiennes. Recherches sur les connaissances mathématiques de l'Égypte pharaonique: By Sylvia Couchoud. Paris: Éditions Le Léopard d'Or. 1993. 208 pp. 150 FF . . . . . . . . . . . . . . . . . 80--83 Jens Hòyrup Book Review: \booktitlePeri Ton Mathematon (Apeiron, Vol. XXIX, No. 4): Edited by Ian Mueller. Edmonton (Academic Printing and Publishing). 1991. xii + 251 pages. Index by name and subject. Index of passages cited . . . . 84--87 Evgeny A. Zaitsev Fedor Andreevich Medvedev (1923--1993) 88--92 Anonymous Abstracts . . . . . . . . . . . . . . . 93--109 Anonymous Notes to contributors . . . . . . . . . 110--111 Anonymous Papers to appear in forthcoming issues 112--112
Ken Saito Doubling the cube: a new interpretation of its significance for early Greek geometry . . . . . . . . . . . . . . . . 119--137 Gregg De Young Euclidean geometry in the mathematical tradition of Islamic India . . . . . . . 138--153 Jaak Peetre Outline of a scientific biography of Ernst Meissel (1826--1895) . . . . . . . 154--178 Daniel S. Alexander Gaston Darboux and the history of complex dynamics . . . . . . . . . . . . 179--185 William C. Waterhouse On the Cattle Problem of Archimedes . . 186--187 A. A. Antropov On Euler's partition of forms into genera . . . . . . . . . . . . . . . . . 188--193 Anonymous Meetings . . . . . . . . . . . . . . . . 194--195 Anonymous \booktitleLa Sph\`ere, instrument au service de la découverte du monde: D'Autolycos de Pitane \`a Jean de Sacrobosco: Par Germaine Aujac. Collection Varia. Caen (Paradigme). 1993. 380 pp . . . . . . . . . . . . . . 196--202 Anonymous Book Review: \booktitleLakatos' Philosophy of Mathematics: a Historical Approach: By Tenn Koetsier. Studies in the History and Philosophy of Mathematics. Volume 3. Amsterdam (North-Holland, Elsevier). 1991. 312 pages, including bibliography and index 203--206 Anonymous Book Review: \booktitleBerkeley's Philosophy of Mathematics: By Douglas M. Jesseph. Chicago and London (The University of Chicago Press). 1993. xii + 322 pp . . . . . . . . . . . . . . . . 206--208 Anonymous Book Review: \booktitleMath Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education: Edited by Sal Restivo, Jean Paul Van Bendegem, and Roland Fischer. Albany (State University of New York Press). 1993. 278 pp. Name and subject indexes 208--209 Anonymous Abstracts . . . . . . . . . . . . . . . 210--220 Anonymous Notes on contributors . . . . . . . . . 221--222 Anonymous Papers to appear in forthcoming issues 223--223 Anonymous Adolph Andrei Pavlovich Yushkevich (1906--1993) . . . . . . . . . . . . . . ??
Karen V. H. Parshall Note from the managing editor . . . . . 225--225 Jean-Luc Dorier A general outline of the genesis of vector space theory . . . . . . . . . . 227--261 Gregory H. Moore The axiomatization of linear algebra: 1875--1940 . . . . . . . . . . . . . . . 262--303 Miriam Franchella L. E. J. Brouwer: Toward Intuitionistic Logic . . . . . . . . . . . . . . . . . 304--322 Anonymous Book Review: \booktitleDie Entwicklung des Tensorkalküls. Vom absoluten Differentialkalkül zur Relativitätstheorie: By Karin Reich. Basel/Boston/Berlin (Birkhäuser Verlag). 1994. 331 pp. . . . . . . . . . . . . . 323--326 Anonymous Book Review: \booktitleLa mesure de l'état: By Eric Brian. Paris (Albin Michel). 1994. 464 pp. . . . . . . . . . 327--330 Anonymous Abstracts . . . . . . . . . . . . . . . 331--341 Anonymous Notes on contributors . . . . . . . . . 342--342 Anonymous Papers to appear in forthcoming issues 343--343
Anonymous Guy Hirsch (1915--1993) . . . . . . . . 345--346 Marcia Ascher Models and Maps from the Marshall Islands: a Case in Ethnomathematics . . 347--370 Moritz Epple Branch Points of Algebraic Functions and the Beginnings of Modern Knot Theory . . 371--401 Adrian C. Rice and Robin J. Wilson and J. Helen Garner From Student Club to National Society: the Founding of the London Mathematical Society in 1865 . . . . . . . . . . . . 402--421 Peter Schreiber A Supplement to J. Shallit's Paper ``Book Review: \booktitleOrigins of the Analysis of the Euclidean Algorithm'' 422--424 Anonymous Book Review: \booktitleAmphora. Festschrift fur Hans Wussing zu seinem 65. Geburtstag/Festschrift for Hans Wussing on the Occasion of His 65th Birthday: Edited by S. S. Demidov, M. Folkerts, D. E. Rowe, and C. J. Scriba. Basel/Boston/Berlin (Birkhäauser Verlag). 1992. xi + 782 pp. U.S. \$140.00} . . . 425--441 Anonymous Book Review: \booktitleSofia Kowalewskaja. Ein Leben für Mathematik and Emanzipation: By Wilderich Tuschmann and Peter Hawig. Basel/Boston/Berlin (Birkhduser). 1993. 185 pp. with 22 Figs. 58 DM . . . . . . . . . . . . . . 442--446 Anonymous Book Review: \booktitleOn the Shoulders of Merchants: Exchange and the Mathematical Conception of Nature in Early Modern Europe: By Richard W. Hadden. Albany, NY (State Univ. of New York Press). 1994. xviii + 191 pp. with notes, bibliography, and index . . . . . 446--448 Anonymous Abstracts . . . . . . . . . . . . . . . 449--469 Anonymous World Directory of Historians of Mathematics . . . . . . . . . . . . . . 470--470 Anonymous Notes on Contributors . . . . . . . . . 471--472 Anonymous Papers to Appear in Forthcoming Issues 473--473 Anonymous Index of Authors of Articles and Reviews in Volume 22 . . . . . . . . . . . . . . 474--474 Anonymous Index of Authors of Publications Reviewed and Abstracted in Volume 22 . . 475--480
Karen Hunger Parshall and Jan P. Hogenduk The History of Mathematics, the History of Science, Mathematics, and \booktitleHistoria Mathematica . . . . . 1--5 Patti W. Hunter Drawing the Boundaries: Mathematical Statistics in 20th-Century America . . . 7--30 Y. Tzvi Langermann Medieval Hebrew Texts on the Quadrature of the Lune . . . . . . . . . . . . . . 31--53 Oscar Sheynin Mendeleev and the Mathematical Treatment of Observations in Natural Science . . . 54--67 Tadeusz Batóg and Roman Murawski Stanis\law Piatkiewicz and the Beginnings of Mathematical Logic in Poland . . . . . . . . . . . . . . . . . 68--73 T. W. Gamelin Book Review: \booktitleA History of Complex Dynamics, from Schröder to Fatou and Julia. By Daniel S. Alexander. Wiesbaden (Vieweg) . . . . . . . . . . . 74--84 Ian Mueller Book Review: \booktitleEuclide d'Alexandrie, \booktitleLes Éléments. Traduction et commentaires par Bernard Vitrac. Paris (Presses universitaires de France). vol. I, livres I--IV avec une introduction générale par Maurice Caveing. 1990 . . . . . . . . . . . . . . . . . . 85--87 Peter Schreiber Book Review: \booktitleLeonardo Pisani Liber abbaci oder Lesevergnügen eines Mathematikers. By Heinz Lüneburg. Mannheim/Leipzig/Wien/Zürich (BI Wissenschaftsverlag) . . . . . . . . . . 88--89 Tom Archibald Book Review: \booktitleA History of Mathematics: an Introduction. By Victor J. Katz. New York (Harper Collins) . . . 89--92 Thomas Hawkins Book Review: \booktitleÉlie Cartan (1869--1951). By M. A. Akivis and B. A. Rosenfeld. Translated from a Russian manuscript by V. V. Goldberg. Providence (American Mathematical Society) . . . . 92--95 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 96--113 Anonymous Notes on Contributors . . . . . . . . . 114--115 Anonymous Papers to Appear in Forthcoming Issues 116--116
Christoph J. Scriba A Birthday Tribute to R. C. Gupta . . . 117--120 Ronald Calinger Leonhard Euler: the First St. Petersburg Years (1727--1741) . . . . . . . . . . . 121--166 Niccol\`o Guicciardini An Episode in the History of Dynamics: Jakob Hermann's Proof (1716--1717) of Proposition 1, Book 1, of Newton's Principia . . . . . . . . . . . . . . . 167--181 Bent Birkeland Ludvig Sylow's Lectures on Algebraic Equations and Substitutions, Christiania (Oslo), 1862: an Introduction and a Summary . . . . . . . . . . . . . . . . 182--199 Roger Cooke Book Review: \booktitleThe Golden Years of Moscow Mathematics. Edited by Smilka Zdravkovska and Peter Duren. London and Providence (London Mathematical Society and American Mathematical Society). 1993 200--203 Thomas Hochkirchen Book Review: \booktitleCreating Modern Probability. Its Mathematics, Physics and Philosophy in Historical Perspective. By Jan von Plato. Cambridge/New York/Melbourne (Cambridge Univ. Press). 1994 . . . . . . . . . . . 203--207 Christiane Vilain Book Review: \booktitleLa réforme de la dynamique, De corporum concursu (1678) et autres textes inédits. By G. W. Leibniz. Edition, introduction, French translations and commentaries by Michel Fichant. Paris (Librairie philosophique J. Vrin). 1994 . . . . . . . . . . . . . 207--210 Gérard Simon Book Review: \booktitleGéométrie et dioptrique au X$^e$ si\`ecle. Ibn Sahl, al--Qûh\^\i et Ibn al-Haytham. By Roshdi Rashed. Paris (Les Belles Lettres). 1993 210--216 Anonymous Abstracts . . . . . . . . . . . . . . . 217--235 Anonymous Notes on Contributors . . . . . . . . . 236--237 Anonymous Papers to Appear in Forthcoming Issues 238--238
Natália Bebiano Mathematical Horizons: Light and Darkness in Portugal in the 18th Century 239--245 Kim Plofker An Example of the Secant Method of Iterative Approximation in a Fifteenth-Century Sanskrit Text . . . . 246--256 Djamil A\"\issani Le mathématicien Eug\`ene Dewulf (1831--1896) et les manuscrits médiévaux du Maghreb . . . . . . . . . . . . . . . 257--268 David L. Roberts Albert Harry Wheeler (1873--1950): a Case Study in the Stratification of American Mathematical Activity . . . . . 269--287 Roland Wagner-Döbler and Jan Berg Nineteenth-Century Mathematics in the Mirror of Its Literature: a Quantitative Approach . . . . . . . . . . . . . . . . 288--318 Hél\`ene Gispert Book Review: \booktitleHistoire de fractions, fractions d'histoire. Coordinated by Paul Benoit, Karine Chemla, and Jim Ritter. Science Networks 10. Basel (Birkhäuser) . . . . . . . . . 319--323 Leo Corry Book Review: \booktitleoCorps et mod\`eles-Essai sur l'histoire de l'alg\`ebre réelle. By Hourya Sinaceur. Paris: Librairie Philosophique J. Vrin 323--327 Andrea Eberhard Book Review: \booktitleLes mathématiques japonaises \`a l'époque d'Edo (1600--1868): Une étude des travaux de Seki Takakazu (?--1708) et de Takebe Katahiro (1664--1793) By Annick Horiuchi. Paris (Librairie Philosophique J. Vrin) . . . . . . . . . . . . . . . . 327--329 Régis Morelon Book Review: \booktitleIslamic Astronomy and Medieval Spain. By Julio Samsó. Collected Studies Series CS 428. Aldershot, VT (Variorum) . . . . . . . . 330--332 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 333--348 Anonymous Notes on Contributors . . . . . . . . . 349--350 Anonymous Papers to Appear in Forthcoming Issues 351--351
Karen Hunge Parshall and Jan P. Hogendijk \booktitleHistoria Mathematica and the World Wide Web . . . . . . . . . . . . . 353--354 Ivor Grattan-Guinness Numbers, Magnitudes, Ratios, and Proportions in Euclid's \booktitleElements: How Did He Handle Them? . . . . . . . . . . . . . . . . . 355--375 Adrian Rice Mathematics in the Metropolis: a Survey of Victorian London . . . . . . . . . . 376--417 Konstantina Zormbala Gauss and the Definition of the Plane Concept in Euclidean Elementary Geometry 418--436 Jeremy Gray Book Review: \booktitleDevelopment of Mathematics, 1900--1950. Edited by Jean-Paul Pier . . . . . . . . . . . . . 437--440 Michael Toepell Book Review: \booktitleGeschichte der Algebra. Eine Einführung. Edited by Erhard Scholz. Unter Mitarbeit von Kirsti Andersen et al. Lehrbücher und Monographien zur Didaktik der Mathematik Bd. 16. Wien/Zürich (B.I.-Wissenschafts Verlag Mannheim). 1990 . . . . . . . . . 441--445 Bernard Vitrac Book Review: \booktitleAnaritus' Commentary on Euclid. The Latin Translation, I--IV. Edited by P. M. J. E. Tummers. Artistarium, Supplementa, IX 445--446 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 447--464 Anonymous Notes on Contributors . . . . . . . . . 465--466 Anonymous Papers to Appear in Forthcoming Issues 467--467 Anonymous Index of Authors of Articles and Reviews in Volume 23 . . . . . . . . . . . . . . 468--468 Anonymous Index of Authors of Publications Reviewed and Abstracted in Volume 23 . . 469--473
Catherine Jami In Memoriam: Joseph Needham (December 9, 1900--March 24, 1995) . . . . . . . . . 1--5 Della Dumbaugh Fenster Role Modeling in Mathematics: the Case of Leonard Eugene Dickson (1874--1954) 7--24 Rossana Tazzioli The Role of Differential Parameters in Beltrami's Work . . . . . . . . . . . . 25--45 Ülo Lumiste Martin Bartels as Researcher: His Contribution to Analytical Methods in Geometry . . . . . . . . . . . . . . . . 46--65 Loren Butler Feffer Mathematical Physics and the Planning of American Mathematics: Ideology and Institutions . . . . . . . . . . . . . . 66--85 Luis M. R. Saraiva Historiography of Mathematics in the Works of Rodolfo Guimarães . . . . . . . 86--97 Garrett Birkhoff Book Review: \booktitleJohn von Neumann. By Norman Macrae. New York (Random House). 1992 . . . . . . . . . . . . . . 98--100 Reinhard Siegmund-Schultze Book Review: \booktitleDas Fotoalbum für Weierstraß. A Photo Album for Weierstrass. Edited by Reinhard Bölling. Braunschweig and Wiesbaden (Friedrich Vieweg & Sohn). 1994 . . . . . . . . . . 100--101 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 102--120 Anonymous Notes on Contributors . . . . . . . . . 121--122 Anonymous Papers to Appear in Forthcoming Issues 123--123
Yvonne Dold-Samplonius In Memoriam: Bartel Leendert van der Waerden (1903--1996) . . . . . . . . . . 125--130 Lis Brack-Bernsen In Memoriam: Olaf Schmidt (1913--1996) 131--134 Reinhard Siegmund-Schultze The Emancipation of Mathematical Research Publishing in the United States from German Dominance (1878--1945) . . . 135--166 Herman Erlichson Hooke's September 1685 Ellipse Vertices Construction and Newton's Instantaneous Impulse Construction . . . . . . . . . . 167--184 Ahmed Djebbar La rédaction de \booktitleL'istikmal d'al-Mu'taman (XI$^e$ s.) par Ibn Sartaq, un mathématicien des XIII$^e$--XIV$^e$ si\`ecles . . . . . . 185--192 Mohammad Bagheri Mathematical Problems of the Famous Iranian Poet N\=a\dser-e Khosrow . . . . 193--196 Mo De and Jiang Zhenhua The Recent Chinese and Mongolian Translations of Euclid's \booktitleElements . . . . . . . . . . . 197--199 Jean-Claude Martzloff Note on the Recent Chinese and Mongolian Translations of Euclid's \booktitleElements . . . . . . . . . . . 200--202 Antonella Romano Book Review: \booktitleTra scienza e immaginazione: Le matematiche presso il Collegio Gesuitico Napoletano (1552--1670 ca.). By Romano Gatto. Firenze (Olschki, collana ``Biblioteca di Nuncius''). 1994, 392 pp. . . . . . . 203--205 Christiane Vilain Book Review: \booktitleLa dynamique de Leibniz. By François Duchesneau. Collection Mathesis. Paris (Vrin). 1994. 367 pp. 195 FF . . . . . . . . . . . . . 206--207 Antoni Malet Book Review: \booktitleLa méthode de Fermat: Son statut et sa diffusion. By Giovanna Cleonice Cifoletti. Cahiers d'Histoire et de Philosophie des Sciences, No. 33. Paris (Société Française d'Histoire des Sciences et des Techniques. Belin Diffusion). 1990. Pp. 243. ISSN 0221-3664. FF60 . . . . . . . 208--209 Gregory H. Moore Is Mathematical Logic a Part of Mathematics? . . . . . . . . . . . . . . 210--212 Ivor Grattan-Guinness Numbers, Magnitudes, Ratios, and Proportions in Euclid's \booktitleElements: How Did He Handle Them?: Volume 23, Number 4 (1996), pages 355--375 . . . . . . . . . . . . . . . . 213--213 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 214--237 Anonymous Notes on Contributors . . . . . . . . . 238--239
Mohammad Bagheri A Newly Found Letter of Al-K\=ash\=\i on Scientific Life in Samarkand . . . . . . 241--256 Ma. Rosa Massa Mengoli on ``Quasi Proportions'' . . . . 257--280 Rüdiger Thiele On Some Contributions to Field Theory in the Calculus of Variations from Beltrami to Carathéodory . . . . . . . . . . . . . 281--300 Alexe\"u\i Volkov Zhao Youqin and his calculation of $ \pi $ . . . . . . . . . . . . . . . . . . . 301--331 Jeremy Gray Book Review: \booktitleMathematics of the 19th Century; Geometry, Analytic Function Theory. Edited by A. N. Kolmogorov and A. P. Yushkevich, and translated from the Russian by Roger Cooke. Basel/Boston/Berlin (Birkhäuser). 1996. ISBN 3-7643-5048-2. x + 290 pp., sFr 98 . . . . . . . . . . . . . . . . . 332--334 Karen Hunger Parshall Book Review: \booktitleAlgebra e geometria (1860--1940): Il contributo italiano. Edited by Aldo Brigaglia, Ciro Ciliberto, and E. Sernesi. Supplemento ai Rendiconti del Circolo matematico di Palermo, Ser. 2, No. 36 (1994). Palermo (Circolo matematico di Palermo). 1994. 277 pp. . . . . . . . . . . . . . . . . 334--339 Norman Levitt Book Review: \booktitleIn Measure, Number, and Weight: Studies in Mathematics and Culture. By Jens Hòyrup. Albany (State University of New York Press). 1994, xviii + 430 pp. \$19.95} 339--342 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 343--355 Anonymous Notes on Contributors . . . . . . . . . 356--357 Anonymous Papers to Appear in Forthcoming Issues 358--358
Karen Hunger Parshall and Jan P. Hogendijk Changes Underway at \booktitleHistoria Mathematica . . . . . . . . . . . . . . 359--359 Svetlana S. Petrova and Alexander D. Solov'ev The Origin of the Method of Steepest Descent . . . . . . . . . . . . . . . . 361--375 Marcia Ascher Malagasy Sikidy: a Case in Ethnomathematics . . . . . . . . . . . . 376--395 Takao Hayashi Aryabha t\textperiodcentereda's Rule and Table for Sine-Differences . . . . . . . 396--406 J. Lennart Berggren Mathematics and Her Sisters in Medieval Islam: a Selective Review of Work Done from 1985 to 1995 . . . . . . . . . . . 407--440 Heiner Lichtenberg Zur Interpretation der Gaußschen Osterformel und ihrer Ausnahmeregeln. (German) [Gauss's interpretation of the Easter formula its exclusion rules] . . 441--444 Victor J. Katz Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. . . . . . . . . . . . . . . . 445--452 Robin Wilson From Five Fingers to Infinity: a Journey through the History of Mathematics. . . 452--453 Jeremy Gray Reply to ``Is Mathematical Logic a Part of Mathematics?'' . . . . . . . . . . . 454--456 Anonymous Abstracts . . . . . . . . . . . . . . . 457--477 Anonymous Notes on Contributors . . . . . . . . . 478--479 Anonymous Papers to Appear in Forthcoming Issues 480--480 Anonymous Index of Authors of Articles and Reviews in Volume 24 . . . . . . . . . . . . . . 481--481 Anonymous Index of Authors of Publications Reviewed and Abstracted in Volume 24 . . 482--487
Takao Hayashi and Takanori Kusuba Twenty-One Algebraic Normal Forms of Citrabhanu . . . . . . . . . . . . . . . 1--21 Jean Christianidis Une interprétation byzantine de Diophante. (French) [A Byzantine interpretation of Diophantus] . . . . . 22--28 Alex D. D. Craik Geometry, Analysis, and the Baptism of Slaves: John West in Scotland and Jamaica . . . . . . . . . . . . . . . . 29--74 Boaz Tsaban and David Garber On the Rabbinical Approximation of $ \pi $ . . . . . . . . . . . . . . . . . . . 75--84 G. R. Evans Vestigia Mathematica, Studies in Medieval and Early Modern Mathematics in Honour of H. L. L. Busard . . . . . . . 85--86 Ahmed Djebbar Raf` al-h$ \cdot $ij\=ab `an wuj\=uh a`m\=al al-h$ \cdot $is\=ab li Ibn al-Bann\=a al-Murr\=aku\vs\=\i ($ \dagger $721/1321) . . . . . . . . . . . 86--88 Michael Nauenberg On Hooke's 1685 Manuscript on Orbital Mechanics . . . . . . . . . . . . . . . 89--93 Ivor Grattan-Guinness A Response to the Review by Victor J. Katz (\booktitleHistoria Mathematica \bf 24 (1997), 445--452) of Ivor Grattan-Guinness, Ed., Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences 94--94 Jeremy Gray A Response to the Review by Victor J. Katz (\booktitleHistoria Mathematica \bf 24 (1997), 445--452) of Ivor Grattan-Guinness, Ed., Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences 95--97 Anonymous Abstracts . . . . . . . . . . . . . . . 98--119 Anonymous Notes on Contributors . . . . . . . . . 120--121 Anonymous Papers to Appear in Forthcoming Issues 122--122
David Fowler Wilbur Richard Knorr (1945--1997): an Appreciation . . . . . . . . . . . . . . 123--132 Gary G. Cochell The Early History of the Cornell Mathematics Department: a Case Study in the Emergence of the American Mathematical Research Community . . . . 133--153 Helmut Pulte Jacobi's Criticism of Lagrange: the Changing Role of Mathematics in the Foundations of Classical Mechanics . . . 154--184 Adrian C. Rice and Robin J. Wilson From National to International Society: the London Mathematical Society, 1867--1900 . . . . . . . . . . . . . . . 185--217 Max Fernández Book Review: \booktitleLa Notion de nombre chez Dedekind, Cantor, Frege. By Jean-Pierre Belna . . . . . . . . . . . 219--221 Snezana Lawrence Book Review: \booktitleEntre Mécanique et Architecture --- Between Mechanics and Architecture. Edited by Patricia Radelet-de-Grave and Edoardo Benvenuto 221--224 Anonymous Abstracts . . . . . . . . . . . . . . . 225--241 Anonymous Notes on Contributors . . . . . . . . . 242--242 Anonymous Papers to Appear in Forthcoming Issues 243--243
Viacheslav Alekseevich Dobrovol\'skii and Natalia Vasilevna Lokot' and Jean-Marie Strelcyn Mikhail Nikolaevich Lagutinskii (1871--1915): Un Mathématicien Méconnu . . 245--264 Glen Van Brummelen Mathematical Methods in the Tables of Planetary Motion in Kushyar ibn Labban's \booktitleJami$^c$ Z\=\ij . . . . . . . 265--280 Robert Weinstock Newton's Principia and Inverse-Square Orbits in a Resisting Medium: a Spiral of Twisted Logic . . . . . . . . . . . . 281--289 Giovanni Ferraro Some Aspects of Euler's Theory of Series: Inexplicable Functions and the Euler--Maclaurin Summation Formula . . . 290--317 Alejandro R. Garciadiego Book Review: \booktitleEl nacimiento de la teoría de conjuntos, 1854--1908.By José Ferreirós Domínguez. Colección de Estudios, n$^\circ $ 39. Madrid (Ediciones de la Universidad Autónoma de Madrid). 1991 . . 318--320 Albert C. Lewis Book Review: \booktitleThe Problem of the Earth's Shape from Newton to Clairaut: the Rise of Mathematical Science in Eighteenth-Century Paris and the Fall of ``Normal'' Science. By John L. Greenberg. Cambridge/New York (Cambridge University Press). 1995 . . . 320--325 Jeremy Gray Book Review: \booktitlePsychologism: a Case Study in the Sociology of Philosophical Knowledge. By Martin Kusch. London and New York (Routledge). 1995 . . . . . . . . . . . . . . . . . . 325--326 Adrian Rice Book Review: \booktitleMessengers of Mathematics: European Mathematical Journals (1800--1946). Edited by Elena Ausejo and Mariano Hormigón. Madrid (Siglo XXI de España Editores, S. A.). 1993 . . . . . . . . . . . . . . . . . . 326--331 Charles E. Ford The Influence of P. A. Florensky on N. N. Luzin . . . . . . . . . . . . . . . . 332--339 Anonymous Abstracts . . . . . . . . . . . . . . . 340--354 Anonymous Notes on Contributors . . . . . . . . . 355--356 Anonymous Papers to Appear in Forthcoming Issues 357--357
Eileen F. Donoghue In Search of Mathematical Treasures: David Eugene Smith and George Arthur Plimpton . . . . . . . . . . . . . . . . 359--365 David Fowler and Eleanor Robson Square Root Approximations in Old Babylonian Mathematics: YBC 7289 in Context . . . . . . . . . . . . . . . . 366--378 Giorgio Israel and Marta Menghini The ``Essential Tension'' at Work in Qualitative Analysis: a Case Study of the Opposite Points of View of Poincaré and Enriques on the Relationships between Analysis and Geometry . . . . . 379--411 Risto Vilkko The Reception of Frege's \booktitleBegriffsschrift . . . . . . . 412--422 Gert Schubring An Unknown Part of Weierstraß's Nachlaß [Estate] . . . . . . . . . . . . . . . . 423--430 Anonymous Abstracts . . . . . . . . . . . . . . . 431--448 Anonymous Notes on Contributors . . . . . . . . . 449--450 Anonymous Index of Authors of Articles and Reviews in Volume 25 . . . . . . . . . . . . . . 451--451 Anonymous Index of Authors of Publications Reviewed and Abstracted in Volume 25 . . 452--458
Joseph W. Dauben \booktitleHistoria Mathematica: 25 Years/Context and Content . . . . . . . 1--28 A. Thomas Fuller Horner versus Holdred: an Episode in the History of Root Computation . . . . . . 29--51 Jeremy Gray and Eduardo L. Ortiz On the Transmission of Riemann's Ideas to Portugal . . . . . . . . . . . . . . 52--67 Elemér Kiss Notes on János Bolyai's Researches in Number Theory . . . . . . . . . . . . . 68--76 Hél\`ene Gispert Book Review: \booktitleEug\`ene Catalan: Géom\`etre sans patrie, républicain sans république. By François Jongmans. . . . . 77--79 Thomas Archibald Book Review: \booktitleVa Pensiero: Immagini della matematica nell'Italia dell'ottocento. By Umberto Bottazzini 79--81 Tony Lévy Book Review: \booktitleGermanische Zahlwörter: Sprach- und kulturgeschichtliche Untersuchungen insbesondere zur Zahl 12. By George Schuppener . . . . . . . . . . . . . . . 81--82 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 83--103 Anonymous Notes on Contributors . . . . . . . . . 104--105
Alexander Vucinich Mathematics and Dialectics in the Soviet Union: the Pre-Stalin Period . . . . . . 107--124 Tony Crilly Arthur Cayley as Sadleirian Professor: a Glimpse of Mathematics Teaching at 19th-Century Cambridge . . . . . . . . . 125--160 Enrico Giusti Book Review: \booktitleLes mathématiques infinitésimales du IXe au XIe si\`ecle. Edited by Roshdi Rashed . . . . . . . . 161--164 Jeremy Gray Book Review: \booktitleLa découverte de la géométrie non euclidienne sur la pseudosph\`ere: Les lettres d'Eugenio Beltrami \`a Jules Hoüel (1868--1881). Introduction, notes and critical commentaries by Luciano Boi, Livia Giacardi, Rossana Tazzioli . . . . . . . 164--166 Yvonne Dold-Samplonius Book Review: \booktitleThe Topkapi Scroll --- Geometry and Ornament in Islamic Architecture: Topkapi Palace Library MS. H. 1956; With an Essay on the Geometry of the Muqarnas by Mohammad al-Asad. By Gülru Necipo\uglu. . . . . . 166--172 Roger Cooke Book Review: \booktitleL'Europe mathématique/Mathematical Europe. Edited by Catherine Goldstein, Jeremy Gray, and Jim Ritter . . . . . . . . . . . . . . . 173--175 Florin Diacu Book Review: \booktitlePoincaré and the Three-Body Problem. By June Barrow-Green 175--178 Albert C. Lewis Book Review: \booktitleThe Quest for Longitude: the Proceedings of the Longitude Symposium, Harvard University, Cambridge, Massachusetts, November 4--6, 1993. Edited by William J. H. Andrewes 178--180 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 181--198 Anonymous Notes on Contributors . . . . . . . . . 199--200
Laura Martini The First Lectures in Italy on Galois Theory: Bologna, 1886--1887 . . . . . . 201--223 Danny J. Beckers Lagrange in The Netherlands: Dutch Attempts to Obtain Rigor in Calculus, 1797--1840 . . . . . . . . . . . . . . . 224--238 Alex D. D. Craik Calculus and Analysis in Early 19th-Century Britain: the Work of William Wallace . . . . . . . . . . . . 239--267 Jürgen Elstrodt and Peter Ullrich A Real Sheet of Complex Riemannian Function Theory: a Recently Discovered Sketch in Riemann's Own Hand . . . . . . 268--288 Sabine Rommevaux Book Review: \booktitleDie älteste lateinische Schrift über das indische Rechnen nach al-Hwarizmi. Edited by Menso Folkerts . . . . . . . . . . . . . 289--290 Jeremy Gray Book Review: \booktitleThe Riemann Legacy: Riemannian Ideas in Mathematics and Physics. Edited by K. Maurin . . . . 291--291 Niccol\`o Guicciardini Letter to the Editor . . . . . . . . . . 292--294 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 295--308 Anonymous Notes on Contributors . . . . . . . . . 309--310
Karen Hunger Parshall and Jan P. Hogendijk Thoughts and Thanks From the Outgoing Editors . . . . . . . . . . . . . . . . 311--313 Elena Ausejo and Mariano Hormigón Mathematics for Independence: From Spanish Liberal Exile to the Young American Republics . . . . . . . . . . . 314--326 Circe Mary Silva da Silva The Influence of Positivism on the Teaching of Mathematics in Brazil: 1870--1930 . . . . . . . . . . . . . . . 327--343 Hél\`ene Gispert Les débuts de l'histoire des mathématiques sur les sc\`enes internationales et le cas de l'entreprise encyclopédique de Felix Klein et Jules Molk . . . . . . . 344--360 David Fowler and Chr. Marinus Taisbak Did Euclid's Circles Have Two Kinds of Radius? . . . . . . . . . . . . . . . . 361--364 Bruce A. Hedman An Earlier Date for ``Cramer's Rule'' 365--368 Peter Schreiber A New Hypothesis on Dürer's Enigmatic Polyhedron in His Copper Engraving ``Melencolia I'' . . . . . . . . . . . . 369--377 Galina Pavlovna Matvievskaya and Gulnara Eskenderovna Yusupova The Mathematical and Astronomical Manuscripts in the Collection of the Institute of Oriental Studies of the Academy of Sciences of Uzbekistan at Tashkent . . . . . . . . . . . . . . . . 378--381 Yvonne Dold-Samplonius Book Review: \booktitleAl-Sijzi's Treatise on Geometrical Problem Solving. Translated and annotated by Jan P. Hogendijk . . . . . . . . . . . . . . . 382--383 Eugene Seneta Book Review: \booktitleCondorcet. Arithmétique politique. Textes rares ou inédits (1767--1789). Critical edition commented by Bernard Bru and Pierre Crépel . . . . . . . . . . . . . . . . . 383--385 Norbert Schappacher Book Review: \booktitleRiposte Armonie: Lettere di Federigo Enriques a Guido Castelnuovo. Edited by Umberto Bottazini, Alberto Conte, and Paola Gario . . . . . . . . . . . . . . . . . 385--388 David E. Zitarelli Abstracts . . . . . . . . . . . . . . . 389--409 Anonymous Notes on Contributors . . . . . . . . . 410--410 Anonymous Papers to Appear in Forthcoming Issues 411--411 Anonymous Index of Authors of Articles and Reviews in Volume 26 . . . . . . . . . . . . . . 412--412 Anonymous Index of Authors of Articles and Publications Reviewed and Abstracted in Volume 26 . . . . . . . . . . . . . . . 413--418
Umberto Bottazzini and Craig Fraser At the Turn of the Millennium: New Challenges for the History of Mathematics and for \booktitleHistoria Mathematica . . . . . . . . . . . . . . 1--3 Mircea Radu Justus Grassmann's Contributions to the Foundations of Mathematics: Mathematical and Philosophical Aspects . . . . . . . 4--35 Joel A. Goldstein A Matter of Great Magnitude: the Conflict over Arithmetization in 16th-, 17th-, and 18th-Century English Editions of Euclid's \booktitleElements Books I Through VI (1561--1795) . . . . . . . . 36--53 Alexander Vucinich Soviet Mathematics and Dialectics in the Stalin Era . . . . . . . . . . . . . . . 54--76 Rüdiger Thiele Reviews . . . . . . . . . . . . . . . . 77--79 Peter Schreiber Reviews . . . . . . . . . . . . . . . . 80--81 June Barrow-Green Reviews . . . . . . . . . . . . . . . . 82--85 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 86--104 Anonymous Notes on Contributors . . . . . . . . . 105--106
Giovanni Ferraro Functions, Functional Relations, and the Laws of Continuity in Euler . . . . . . 107--132 Alex D. D. Craik Geometry versus Analysis in Early 19th-Century Scotland: John Leslie, William Wallace, and Thomas Carlyle . . 133--163 Kurt Ramskov Sources for Danish Mathematics . . . . . 164--170 Alpay Özdural Mathematics and Arts: Connections between Theory and Practice in the Medieval Islamic World . . . . . . . . . 171--201 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 202--221 Anonymous Notes on Contributors . . . . . . . . . 222--222
Kurt Ramskov The Danish Mathematical Society through 125 Years . . . . . . . . . . . . . . . 223--242 Shai Simonson The Missing Problems of Gersonides --- a Critical Edition, I . . . . . . . . . . 243--302 Frank Swetz Book Review: \booktitleThe Measure of Reality: Quantification and Western Society, 1250--1600. By Alfred W. Crosby. Cambridge . . . . . . . . . . . 303--305 Volkmar Schüller Book Review: \booktitleLeonhardi Euleri opera omnia, secunda, vol. 31: Commentationes mechanicae et astronomicae ad physicam cosmicam pertinentes. Edited by Eric J. Aiton . . 305--309 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 310--329 Anonymous Notes on Contributors . . . . . . . . . 330--330
Tinne Hoff Kjeldsen A Contextualized Historical Analysis of the Kuhn--Tucker Theorem in Nonlinear Programming: the Impact of World War II 331--361 Maryvonne Spiesser Probl\`emes linéaires dans le \booktitleCompendy de la praticque des nombres de Barthélemy de Romans et Mathieu Préhoude (1471): une approche nouvelle basée sur des sources proches du \booktitleLiber abbaci de Léonard de Pise. (French) [Linear problems in the \booktitleCompendium of the number practice by Barthélemy de Romans and Mathieu Préhoude (1471): an new approach based on sources near \booktitleLiber abbaci of Leonardo of Pisa] . . . . . . 362--383 Maryvonne Spiesser Probl\`emes linéaires dans le Book Review: \booktitleCompendy de la praticque des nombres de Barthélemy de Romans et Mathieu Préhoude (1471): Une approche nouvelle basée sur des sources proches du \booktitleLiber abbaci de Léonard de Pise . . . . . . . . . . . . . 362--383 Shai Simonson The Missing Problems of Gersonides --- a Critical Edition, II . . . . . . . . . . 384--431 David E. Rowe Reviews . . . . . . . . . . . . . . . . 432--440 Giovanna C. Cifoletti Book Review: \booktitleJohannes Faulhaber, 1580--1635, Rechenmeister in einer Welt des Umbruchs. By Ivo Schneider . . . . . . . . . . . . . . . 440--442 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 443--462 Anonymous Notes on Contributors . . . . . . . . . 463--463 Anonymous Papers to Appear in Forthcoming Issues 464--464 Anonymous Index of Authors of Articles and Reviews in Volume 27 . . . . . . . . . . . . . . 465--465 Anonymous Index of Authors of Articles and Publications Reviewed and Abstracted in Volume 27 . . . . . . . . . . . . . . . 466--472
R. P. Burn Alphonse Antonio de Sarasa and Logarithms . . . . . . . . . . . . . . . 1--17 Bruce Pourciau Newton and the Notion of Limit . . . . . 18--30 Danny J. Beckers ``Untiring Labor Overcomes All!'' The History of the Dutch Mathematical Society in Comparison to Its Various Counterparts in Europe . . . . . . . . . 31--47 Paola Gario Guido Castelnuovo: Documents for a Biography . . . . . . . . . . . . . . . 48--53 Catherine Goldstein and Tom Archibald Review . . . . . . . . . . . . . . . . . 54--57 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 58--71 Anonymous Notes on Contributors . . . . . . . . . 72--72
Jacqueline A. Stedall Of Our Own Nation: John Wallis's Account of Mathematical Learning in Medieval England . . . . . . . . . . . . . . . . 73--122 Jeremy Gray Matériaux pour l'Histoire des Mathématiques au XX$^e$ Si\`ecle. Actes du colloque \`a la mémoire de Jean Dieudonné (Nice, 1996) . . . . . . . . . 123--125 Hél\`ene Vérin Giambattista Aleotti e gli ingegneri del Rinascimento. (Italian) [Giambattista Aleotti and the engineers of the Renaissance] . . . . . . . . . . . . . . 125--127 Renaud d'Enfert Épures d'architecture. De la coupe des pierres \`a la géométrie descriptive, XVIe--XIXe si\`ecles . . . . . . . . . . 127--129 N. M. Swerdlow Astronomical Papyri from Oxyrhynchus . . 129--132 Niccol\`o Guicciardini Squaring the Circle. The War between Hobbes and Wallis . . . . . . . . . . . 132--135 Jan P. Hogendijk Islamic Mathematics and Astronomy . . . 135--136 Jan P. Hogendijk Ibrahim ibn Sinan: logique et géométrie au X$^e$ si\`ecle . . . . . . . . . . . . . 136--139 Javier de Lorenzo `?Qué son y para qué sirven los números? y otros escritos sobre los fundamentos de la Matemática . . . . . . . . . . . . . . 139--140 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 141--163 Anonymous Notes on Contributors . . . . . . . . . 164--165
Eleanor Robson Neither Sherlock Holmes nor Babylon: a Reassessment of Plimpton 322 . . . . . . 167--206 A. Göksel Agargün and E. Mehmet Özkan A Historical Survey of the Fundamental Theorem of Arithmetic . . . . . . . . . 207--214 Peter Pesic The Validity of Newton's Lemma 28 . . . 215--219 Reinhard Laubenbacher and Gary McGrath and David Pengelley Lagrange and the Solution of Numerical Equations . . . . . . . . . . . . . . . 220--231 Rossana Tazzioli Green's Function in Some Contributions of 19th Century Mathematicians . . . . . 232--252 Christine Knipping ``Aller Männerkultur zum Trotz.'' Frauen in Mathematik und Naturwissenschaften. (German) [``All male culture notwithstanding.'' Women in Mathematics and Natural Sciences] . . . . . . . . . 253--254 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 255--280 Anonymous Notes on Contributors . . . . . . . . . 281--282
Kim Plofker The ``Error'' in the Indian ``Taylor Series Approximation'' to the Sine . . . 283--295 Livia Giacardi The Corrado Segre Archive . . . . . . . 296--301 Marie-Hél\`ene Labarthe Summa de l'art d'Aritm\`etica. Francesc Santcliment . . . . . . . . . . . . . . 302--304 Israel Kleiner Modern Algebra and the Rise of Mathematical Structures . . . . . . . . 304--312 Alessandra Fiocca Desargues en son temps. (French) [Desargues in his time] . . . . . . . . 312--314 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 315--333 Anonymous Notes on Contributors . . . . . . . . . 334--334 Anonymous Papers to Appear in Forthcoming Issues 335--335 Anonymous Index of Authors of Articles and Reviews in Volume 28 . . . . . . . . . . . . . . 336--336 Anonymous Index of Authors of Articles and Publications Reviewed and Abstracted in Volume 28 . . . . . . . . . . . . . . . 337--343
Antonio Venezia Un Caso Storico Irrisolto: Le Critiche di Popper alla Logica Quantistica di Birkhoff e von Neumann. (Italian) [A Case of Unsolved History: The Criticism of Popper of the Quantum Logic of Birkhoff and von Neumann] . . . . . . . 138--156
Duncan J. Melville Weighing Stones in Ancient Mesopotamia 1--12 Alexander Vucinich Soviet Mathematics and Dialectics in the Post-Stalin Era: New Horizons . . . . . 13--39 Gregory H. Moore Hilbert on the Infinite: the Role of Set Theory in the Evolution of Hilbert's Thought . . . . . . . . . . . . . . . . 40--64 Andrea Del Centina The Manuscript of Abel's Parisian Memoir Found in Its Entirety . . . . . . . . . 65--69 Arne Schirrmacher Book Review: \booktitleDie Entstehung der Knotentheorie. Kontexte und Konstruktionen einer modernen mathematischen Theorie. By Moritz Epple 70--72 Reviel Netz Book Review: \booktitleLa rivoluzione dimenticata. Il pensiero scientifico greco e la scienza moderna. By Lucio Russo . . . . . . . . . . . . . . . . . 72--73 Anonymous Abstracts . . . . . . . . . . . . . . . 74--97 Anonymous Notes on Contributors . . . . . . . . . 98--98 Anonymous Papers to Appear in Forthcoming Issues 99--99
Corinna Rossi and Christopher A. Tout Were the Fibonacci Series and the Golden Section Known in Ancient Egypt? . . . . 101--113 Ivo Radloff Évariste Galois: Principles and Applications . . . . . . . . . . . . . . 114--137 Joseph D. Zund George David Birkhoff and John von Neumann: a question of priority and the ergodic theorems, 1931--1932 . . . . . . 138--156 Volker Peckhaus and Reinhard Kahle Hilbert's Paradox . . . . . . . . . . . 157--175 Pavel Sisma Georg Hamel and Richard von Mises in Brno . . . . . . . . . . . . . . . . . . 176--192 Jens Hòyrup A Note on Old Babylonian Computational Techniques . . . . . . . . . . . . . . . 193--198 Jan P. Hogendijk The Surface Area of the Bicylinder and Archimedes' Method . . . . . . . . . . . 199--203 Klaus Volkert Book Review: \booktitleLa correspondance entre Henri Poincaré et Gösta Mittag-Leffler. Avec en annexe les lettres échangées par Poincaré avec Fredholm, Gyldén et Phragmén. Presentation and notes by Philippe Nabonnand . . . . 204--209 Anonymous Abstracts . . . . . . . . . . . . . . . 210--230 Anonymous Notes on Contributors . . . . . . . . . 231--232 Anonymous Papers to Appear in Forthcoming Issues 233--233
Anonymous Letter to the Editor . . . . . . . . . . 235--238 Jeremy Gray John Fauvel (21 July 1947, Glasgow--12 May 2001, Leamington Spa) . . . . . . . 239--243 Mohammad Bagheri Abolghassem Ghorbani (1912--2001) . . . 244--246 Jan P. Hogendijk Two Editions of Ibn al-Haytham's Completion of the Conics . . . . . . . . 247--265 Michael Wüstner Historical Remarks on the Surjectivity of the Exponential Function of Lie Groups . . . . . . . . . . . . . . . . . 266--272 David Aubin and Amy Dahan Dalmedico Writing the History of Dynamical Systems and Chaos: Longue Durée and Revolution, Disciplines and Cultures . . . . . . . . 273--339 Anonymous Abstracts . . . . . . . . . . . . . . . 340--360 Anonymous Notes on Contributors . . . . . . . . . 361--361 Anonymous Papers to Appear in Forthcoming Issues 362--362
Henk J. M. Bos Out of the Ivory Tower: the Significance of Dirk Struik as Historian of Mathematics . . . . . . . . . . . . . . 363--368 Sergey S. Demidov and Alexei N. Parshin and Igor R. Shafarevich and Svetlana S. Petrova and Galina S. Smirnova and Vladimir M. Tikhomirov and Ioannis M. Vandoulakis Isabella Grigoryevna Bashmakova on the Eightieth Anniversary of Her Birth . . . 370--382 David Bellhouse On Some Recently Discovered Manuscripts of Thomas Bayes . . . . . . . . . . . . 383--394 Patricia R. Allaire and Robert E. Bradley Symbolical Algebra as a Foundation for Calculus: D. F. Gregory's Contribution 395--426 I. Grattan-Guinness Algebras, Projective Geometry, Mathematical Logic, and Constructing the World: Intersections in the Philosophy of Mathematics of A. N. Whitehead . . . 427--462 Steven N. Shore Blue Sky and Hot Piles: the Evolution of Radiative Transfer Theory from Atmospheres to Nuclear Reactors . . . . 463--489 David Aubin Stephen Smale: the Mathematician Who Broke the Dimensional Barrier . . . . . 490--491 Karen Hunger Parshall George Boole: Selected Manuscripts on Logic and Its Philosophy . . . . . . . . 491--493 Glen Van Brummelen Abstracts . . . . . . . . . . . . . . . 494--510 Anonymous Notes on Contributors . . . . . . . . . 511--513 Anonymous Papers to Appear in Forthcoming Issues 514--514 Anonymous Index of Authors of Articles and Reviews in Volume 29 . . . . . . . . . . . . . . 515--515 Anonymous Index of Authors of Articles and Publications Reviewed and Abstracted in Volume 29 . . . . . . . . . . . . . . . 516--523
Karen Hunger Parshall The International Commission for the History of Mathematics (ICHM): an introduction and a call to the international community of historians of mathematics . . . . . . . . . . . . . . 1--2 Annette Imhausen Calculating the daily bread: Rations in theory and practice . . . . . . . . . . 3--16 Giovanni Ferraro and Marco Panza Developing into series and returning from series: a note on the foundations of Eighteenth-Century analysis . . . . . 17--46 Alex D. D. Craik The logarithmic tables of Edward Sang and his daughters . . . . . . . . . . . 47--84 Jan P. Hogendijk Book Review: \booktitleWorld-Maps for Finding the Direction and Distance to Mecca: Innovation and Tradition in Islamic Science: By David A. King. Leiden (Brill). 1999. ISBN 90-04-11363. xxix + 638 pp. Islamic Philosophy, Theology and Science, Vol. 36, Dfl 99,17, Euro 45, US \$56} . . . . . . . . 85--87 C. Edward Sandifer Book Review: \booktitleA Station Favorable to the Pursuits of Science: Primary Materials in the History of Mathematics at the United States Military Academy: By Joe Albree, David C. Arney, and V. Frederick Rickey. Providence, RI (American Mathematical Society) and London (London Mathematical Society). History of Mathematics, Vol. 18. 2000. 272 pp. \$59} . . . . . . . . 87--88 J. D. North Book Review: \booktitleJames Joseph Sylvester. Life and Work in Letters: By Karen Hunger Parshall. Oxford (Clarendon). 1998. 337 pp. \$98} . . . . 88--90 Thomas Hawkins Book Review: \booktitlePioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer: By Charles W. Curtis. History of Mathematics, Vol. 15. Providence, RI (American Mathematical Society). 1999. 287 pp. \$49 (hardcover), \$39 (soft-cover) . . 91--93 Andrea Del Centina Corrigendum to: ``The manuscript of Abel's Parisian memoir found in its entirety'': [\booktitleHistoria Mathematica \bf 29 (2002) 65--69] . . . 94--95 I. Grattan-Guinness Erratum to ``Algebras, Projective Geometry, Mathematical Logic, and Constructing the World: Intersections in the Philosophy of Mathematics of A. N. Whitehead'': [\booktitleHistoria Mathematica \bf 29 (2002) 427--462] . . 96--96 Anonymous Abstracts: Edited by Glen Van Brummelen 97--119 Anonymous Notes on contributors . . . . . . . . . 120--121 Anonymous Papers to appear in forthcoming issues 122--122 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous Publisher's Note . . . . . . . . . . . . iii--iv
Andreas Kastanis The teaching of mathematics in the Greek Military Academy during the first years of its foundation (1828--1834) . . . . . 123--139 Janet Delve The College of Preceptors and the \booktitleEducational Times: Changes for British mathematics education in the mid-Nineteenth Century . . . . . . . . . 140--172 Adrian C. Rice and Robin J. Wilson The rise of British analysis in the early 20th century: the role of G. H. Hardy and the London Mathematical Society . . . . . . . . . . . . . . . . 173--194 Della Dumbaugh Fenster Funds for mathematics: Carnegie Institution of Washington support for mathematics from 1902 to 1921 . . . . . 195--216 Marie-José Durand-Richard Book Review: \booktitleLe nombre, une hydre \`a $n$ visages. Entre nombres complexes et vecteurs: Edited by Dominique Flament. Paris (Editions de la Maison des sciences de l'homme). 1997. 301 pp. 190 FF . . . . . . . . . . . . . 217--220 Christoph J. Scriba Book Review: \booktitleDie kubischen Gleichungen bei Nicolo Tartaglia. Die relevanten Textstellen aus seinen \booktitleQuesiti et inventioni diversi auf Deutsch übersetzt und kommentiert: By Friedrich Katscher. Veröffentlichungen der Kommission für Geschichte der Naturwissenschaften, Mathematik und Medizin No. 53. Vienno (Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse). 2001. iv+ 76 S. ISBN 3-7001-2984-X . . . . . . . . . . . . . 220--221 Peter Ullrich Book Review: \booktitleRiemanns Einführung in die Funktionentheorie. Eine quellenkritische Edition seiner Vorlesungen mit einer Bibliographie zur Wirkungsgeschichte der Riemannschen Funktionentheorie: By Erwin Neuenschwander. Abhandlungen der Akademie der Wissenschaften in Göttingen. Göttingen (Vandenhoeck & Ruprecht). 1996. 232 pp. . . . . . . . . . . . . . . . . 221--223 Paul R. Wolfson Book Review: \booktitleBernhard Riemann, 1826--1866: Turning Points in the Conception of Mathematics: By Detlef Laugwitz. Tr. Abe Shenitzer with the editorial assistance of the author, Hardy Grant, and Sarah Shenitzer. Boston (Birkhäuser). 1999. xvii + 357 pp. ISBN 0-8176-4040-1, 3-7643-4040-1 . . . . . . 223--226 Anonymous Abstracts: Edited by Glen Van Brummelen 227--252 Anonymous Notes on contributors . . . . . . . . . 253--254 Anonymous Papers to appear in forthcoming issues 255--255 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Menso Folkerts and Christoph J. Scriba Kurt-Reinhard Biermann (1919--2002) . . 258--262 Richard L. Kremer Thoughts on John of Saxony's method for finding times of true syzygy . . . . . . 263--277 Maria Panteki French ``logique'' and British ``logic'': on the origins of Augustus de Morgan's early logical inquiries, 1805--1835 . . . . . . . . . . . . . . . 278--340 Mircea Radu A debate about the axiomatization of arithmetic: Otto Hölder against Robert Graßmann . . . . . . . . . . . . . . . . 341--377 Edith Dudley Sylla Book Review: \booktitleDie Werke von Jakob Bernoulli. Vol. 5, Differentialgeometrie: Edited by André Weil and Martin Mattmüller. Basel/Boston/Berlin (Birkhäuser Verlag). 1999. xxv + 445 pp. EUR 211 . . . . . . 378--380 Anonymous Abstracts: Edited by Glen Van Brummelen 381--403 Anonymous Notes on contributors . . . . . . . . . 404--404 Anonymous Papers to appear in forthcoming issues 405--405 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Niccolo Guicciardini Conceptualism and contextualism in the recent historiography of Newton's Principia . . . . . . . . . . . . . . . 407--431 Herman Erlichson Passage to the limit in Proposition I, Book I of Newton's \booktitlePrincipia 432--440 Michael Nauenberg Kepler's area law in the \booktitlePrincipia: filling in some details in Newton's proof of Proposition 1 . . . . . . . . . . . . . . . . . . . 441--456 Dominique Tourn\`es L'intégration graphique des équations différentielles ordinaires . . . . . . . 457--493 Steven N. Shore Macrocosmos/microcosmos: celestial mechanics and old quantum theory . . . . 494--513 Michiyo Nakane Book Review: \booktitleThe Mathematical Papers of Sir William Rowan Hamilton: Edited by Brendan K. P. Scaife. Cambridge (Cambridge University Press). 2000. pp. viii + 842 . . . . . . . . . . 514--516 Gregory H. Moore Book Review: \booktitleFrom Kant to Hilbert: a Source Book in the Foundations of Mathematics: Selected and edited by William Ewald. Oxford (Clarendon Press). 1996. Two volumes. xviii + 1340 pp. with a personal name index. \$300 US} . . . . . . . . . . . . 516--519 Henk J. M. Bos Book Review: \booktitleClifford Truesdell: Eine wissenschaftliche Biographie des Dichters, Mathematikers und Naturphilosophen: By Yurie A. Ignatieff and Heike Willig. Aachen (Shaker-Verlag). 1999. ISBN 3-8265-4804-3 . . . . . . . . . . . . . 519--521 Anonymous Abstracts: Edited by Glen Van Brummelen 522--551 Anonymous Notes on contributors . . . . . . . . . 552--553 Anonymous Papers to appear in forthcoming issues 554--554 Anonymous Index of author of articles and reviews in volume 30 . . . . . . . . . . . . . . 555--555 Anonymous Index of author of articles and publications reviewed and abstracted in volume 30 . . . . . . . . . . . . . . . 556--563 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Craig Fraser Editor's Note . . . . . . . . . . . . . 1--1 Nathan Sidoli On the use of the term diastema in ancient Greek constructions . . . . . . 2--10 Hans Weitzel A further hypothesis on the polyhedron of A. Dürer's engraving \booktitleMelencolia I . . . . . . . . . 11--14 João Caramalho Domingues Variables, limits, and infinitesimals in Portugal in the late 18th century . . . 15--33 Giovanni Ferraro Differentials and differential coefficients in the Eulerian foundations of the calculus . . . . . . . . . . . . 34--61 Angelo Guerraggio and Elena Molho The Origins of Quasi-Concavity: a Development between Mathematics and Economics . . . . . . . . . . . . . . . 62--75 Heinz-Dieter Ebbinghaus Zermelo in the mirror of the Baer correspondence, 1930--1931 . . . . . . . 76--86 Anonymous Abstracts: Edited by Glen Van Brummelen 87--114 Sabine Rommevaux Book Review: \booktitleAbu l-`Abbas an-Nayr\=\iz\=\is Exzerpte aus (Ps.- ?) Simplicius' Kommentar zu den Definitionen, Postulaten und Axiomen in Euclids Elementa I: Eingeleitet, ediert und mit arabischen und lateinischen Glossaren versehen von Rüdiger Arnzen. Köln (Essen). 2002 . . . . . . . . . . . 115--116 Eisso J. Atzema Book Review: \booktitleCaspar Wessel. On the Analytical Representation of Direction. An Attempt Chiefly to Solving Plane and Spherical Polygons (1797): Bodil Branner and Jesper Lützen, Eds. Copenhagen (\booktitleMatematik-fysiske Meddelser \bf 46:1), 1999 . . . . . . . 116--119 José Ferreirós Book Review: \booktitleFrom Frege to Gödel. A Source Book in Mathematical Logic, 1879--1931: By Jean van Heijenoort. Cambridge, MA (Harvard University Press). 1967; new paperback edn., 2002. 664 pages, 1 halftone. ISBN 0-674-32449-8. \$27.95} . . . . . . . . 119--124 Anonymous Notes on contributors . . . . . . . . . 125--126 Anonymous Papers to appear in forthcoming issues 127--127 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Jens Hòyrup Conceptual divergence-canons and taboos-and critique: reflections on explanatory categories . . . . . . . . . 129--147 Duncan J. Melville Poles and walls in Mesopotamia and Egypt 148--162 I. Grattan-Guinness The mathematics of the past: distinguishing its history from our heritage . . . . . . . . . . . . . . . . 163--185 Albert C. Lewis Kenneth O. May and information retrieval in mathematics . . . . . . . . . . . . . 186--195 M. Meo The mathematical life of Cauchy's group theorem . . . . . . . . . . . . . . . . 196--221 Daniel S. Alexander Book Review: \booktitleThrough a Reporter's Eyes, The Life of Stefan Banach: By Roman Kaluza. Translated and edited by Ann Kostant and Wojbor Woyczy\'nski. Boston (Birkhäuser). 1996. 168 pp. \$36.95} . . . . . . . . . . . . 222--226 Amy Shell-Gellasch Book Review: \booktitleA History of Mathematics: By Jeff Suzuki. Prentice-Hall (New Jersey). 2002. 815 pp. . . . . . . . . . . . . . . . . . . 227--228 Lis Brack-Bernsen Book Review: \booktitleÄgyptische Algorithmen. Eine Untersuchung zu den mittelägyptischen mathematischen Aufgabentexten: By Annette Imhausen. Wiesbaden (Harrassowitz Verlag). 2003. ISBN 3-447-04644-9. 387 pp. 58 EUR . . . 228--230 Anonymous Abstracts: Edited by Glen Van Brummelen 231--258 Anonymous Notes on contributors . . . . . . . . . 259--260 Anonymous Papers to appear in forthcoming issues 261--261 Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous Table of Contents . . . . . . . . . . . ??
Karen Hunger Parshall Defining a mathematical research school: the case of algebra at the University of Chicago, 1892--1945 . . . . . . . . . . 263--278 Albert C. Lewis The beginnings of the R. L. Moore school of topology . . . . . . . . . . . . . . 279--295 Laura Martini Algebraic research schools in Italy at the turn of the Twentieth Century: the cases of Rome, Palermo, and Pisa . . . . 296--309 Aldo Brigaglia and Ciro Ciliberto Remarks on the relations between the Italian and American schools of algebraic geometry in the first decades of the 20th century . . . . . . . . . . 310--319 Cinzia Cerroni Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang . . . . . . . . 320--336 Eugene Seneta Mathematics, religion, and Marxism in the Soviet Union in the 1930s . . . . . 337--367 Craig Fraser Book Review: \booktitleJean Le Rond d'Alembert. OEuvres compl\`etes Série I: Traités et mémoires mathématiques, 1736--1756. Volume 6: Premiers textes de mécanique céleste, 1747--1749: Edited by Michelle Chapront--Touzé. Paris (CNRS Editions). 2002. 531 pp. EUR 60 . . . . 368--369 Ulf Hashagen Book Review: \booktitleKarl Culmann (1821--1881) und die graphische Statik: By Bertram Maurer. Berlin/Diepholz/Stuttgart (GNT-Verlag). 1998. 550 pp. ISBN 3-928186-41-8. EUR 40 369--371 Philippe Nabonnand Book Review: \booktitleHermann Weyl's \booktitleRaum--Zeit--Materie and a General Introduction to His Scientific Work: Edited by Erhard Scholz. DMV-Seminar 30. Basel/Boston/Berlin (Birkhäuser). 2001. 403 pp. . . . . . . . 371--375 Anonymous Abstracts: Edited by Glen Van Brummelen 376--404 Anonymous Notes on contributors . . . . . . . . . 405--406 Anonymous Papers to appear in forthcoming issues 407--407 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Christoph J. Scriba Adolf Prag (1906--2004) . . . . . . . . 409--413 Christopher Baltus D'Alembert's proof of the fundamental theorem of algebra . . . . . . . . . . . 414--428 Todd Timmons A prosopographical analysis of the early American mathematics publication community . . . . . . . . . . . . . . . 429--454 Tony Crilly The Cambridge Mathematical Journal and its descendants: the linchpin of a research community in the early and mid-Victorian Age . . . . . . . . . . . 455--497 J. L. Berggren On the Sector-Figure and Related Texts, vol. 108. Institute for the History of Arabic--Islamic Science at the Johann Wolfgang Goethe University, Frankfurt am Main (2001) . . . . . . . . . . . . . . 498--499 Patricia R. Allaire Book Review: \booktitleCreators of Mathematics: the Irish Connection, Ken Houston (Ed.). University College Dublin Press, Dublin (2000) . . . . . . . . . . 499--501 Anonymous Abstracts: Edited by Glen Van Brummelen 502--530 Anonymous Notes on contributors . . . . . . . . . 531--531 Anonymous Papers to appear in forthcoming issues 532--532 Anonymous Index of authors of articles and reviews in volume 31 . . . . . . . . . . . . . . 533--533 Anonymous Index of authors of articles and publications reviewed and abstracted in volume 31 . . . . . . . . . . . . . . . 534--540 Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous Table of Contents . . . . . . . . . . . ??
I. Grattan-Guinness John Greenberg (1945--2004) . . . . . . 1--3 Yibao Xu The first Chinese translation of the last nine books of Euclid's \booktitleElements and its source . . . 4--32 David Sepkoski Nominalism and constructivism in seventeenth-century mathematical philosophy . . . . . . . . . . . . . . . 33--59 Andrea Del Centina Letters of Sophie Germain preserved in Florence . . . . . . . . . . . . . . . . 60--75 Jay Belanger and Dorothy Stein Shadowy vision: spanners in the mechanization of mathematics . . . . . . 76--93 Edward Sandifer Book Review: \booktitleThe Science of Conjecture: Evidence and Probability before Pascal, James Franklin. Johns Hopkins University Press, Baltimore (2002), ISBN 0-8018-7109-3 . . . . . . . 94--97 Barnabas Hughes Book Review: \booktitleMaestro Dardi (sec. xiv) Aliabraa Argibra dal manoscrito I.VII.17 della Biblioteca Comunale di Siena: Quaderno del Centro Studi della Matematica Medioevale, No. 26. Edited by Raffaelle Franci. Siena (Centro Studi della Matematica Medioevale). 2001. 299 pp. Gratis . . . 97--98 T. M. Porter Book Review: \booktitleThe History of Mathematical Tables, From Sumer to Spreadsheets, Martin Campbell-Kelly, Mary Croarken, Raymond Flood, Eleanor Robson. Oxford University Press, Oxford (2003) . . . . . . . . . . . . . . . . . 98--99 F. William Lawvere Book Review: \booktitleA new branch of mathematics, ``\booktitleThe Ausdehnungslehre of 1844,'' and other works. Open Court (1995). Translated by Lloyd C. Kannenberg, with foreword by Albert C. Lewis. \booktitleExtension Theory, ``The Ausdehnungslehre of 1862'', vol. 19. American Mathematical Society\ldots London Mathematical Society (2000). Translated and with a foreword and notes by Lloyd C. Kannenberg . . . . . . . . . . . . . . . 99--106 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Glen Van Brummelen . . . . 107--125 Anonymous Notes on contributors . . . . . . . . . 126--126 Anonymous Papers to appear in forthcoming issues 127--127 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Gregg De Young Diagrams in the Arabic Euclidean tradition: a preliminary assessment . . 129--179 David Bellhouse Decoding Cardano's \booktitleLiber de Ludo Aleae . . . . . . . . . . . . . . . 180--202 Pietro Nastasi and Rossana Tazzioli Toward a scientific and personal biography of Tullio Levi-Civita (1873--1941) . . . . . . . . . . . . . . 203--236 William H. Donahue Book Review: \booktitleJohannes Kepler Gesammelte Werke, vol. 21.1, Manuscripta Astronomica III; De Calendario Gregoriano; Manuscripta Mathematica: Edited by Volker Bialas, Friederike Boockmann, and Eberhard Knobloch. Munich (Verlag C. H. Beck). 2002. ISBN 3-406-47427-6. 699 pp. EUR 102 . . . . . 237--238 Antonella Romano Book Review: \booktitleGiambattista Riccioli e il merito scientifico dei gesuiti nell'et\`a barocca: a cura di Maria Teresa Borgato. Biblioteca di Nuncius XLIV. Florence (Olschki). 2002. xviii + 483 pp. . . . . . . . . . . . . 239--240 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Glen Van Brummelen . . . . 241--267 Anonymous Notes on contributors . . . . . . . . . 268--268 Anonymous Papers to appear in forthcoming issues 269--269 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Rüdiger Thiele Matthias Schramm, 1928--2005 . . . . . . 271--274 Agathe Keller Making diagrams speak, in Bh\=askara I's commentary on the Book Review: \booktitleAryabha\dt\=\iya . . . . . . . 275--302 Paul Rusnock and Angus Kerr-Lawson Bolzano and uniform continuity . . . . . 303--311 Alan Gluchoff Pure mathematics applied in early Twentieth-Century America: the case of T. H. Gronwall, consulting mathematician 312--357 Glen Van Brummelen Book Review: \booktitleThe Melon-Shaped Astrolabe in Arabic Astronomy, E. S. Kennedy, P. Kunitzsch, R. P. Lorch (Eds.). Franz Steiner Verlag, Stuttgart (1999) . . . . . . . . . . . . . . . . . 358--360 Daniel Garber Book Review: \booktitleGottfried Wilhelm Leibniz, Sämtliche Schriften und Briefe, III. Reihe. Mathematischer, naturwissenschaftlicher und technischer Briefwechsel, Band 5: 1691--1693. Heinz--Jürgen Heß, James G. O'Hara (Eds.), Akademie Verlag, Munich, ISBN 3-05-003471-82003, 2003, 735 pp. 258 EUR 360--362 Michel Blay Book Review: \booktitleGottfried Wilhelm Leibniz. Sämtliche Schriften und Briefe, VII. Reihe. Mathematische Schriften, Band 3: 1672--1676. Differenzen, Folgen, Reihen. Siegmund Probst, Wolfgang Knobloch, Nora Gädeke (Eds.), Akademie Verlag, Munich, 2003, 880 pp. ISBN 3-05-004003-3. 258 EUR . . . . . . . . . 362--363 Gert Schubring Book Review: \booktitleSymbols, Impossible Numbers, and Geometric Entanglements: British Algebra Through the Commentaries on Newton's Universal Arithmetick, Helena Mary Pycior. Cambridge Univ. Press, Cambridge, UK (1997), ISBN 0-521-48124-4 . . . . . . . 363--366 I. Grattan-Guinness Book Review: \booktitleIn the Light of Logic, Solomon Feferman. Oxford Univ. Press, New York, Oxford (1998), ISBN 0-19-508030-0 . . . . . . . . . . . . . 366--367 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Glen Van Brummelen . . . . 368--393 Anonymous Notes on contributors . . . . . . . . . 394--395 Anonymous Papers to appear in forthcoming issues 396--396 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Karen Parshall The fifth award of the Kenneth O. May Medal and Prize . . . . . . . . . . . . 397--399 Jeffrey A. Oaks and Haitham M. Alkhateeb Mal, enunciations, and the prehistory of Arabic algebra . . . . . . . . . . . . . 400--425 J. L. Berggren and Glen Van Brummelen Al-Kuhi's revision of Book I of Euclid's \booktitleElements . . . . . . . . . . . 426--452 Henrik Kragh Sòrensen Exceptions and counterexamples: Understanding Abel's comment on Cauchy's Theorem . . . . . . . . . . . . . . . . 453--480 Ken Saito Book Review: \booktitleApollonius of Perga's \booktitleConica: Text, Context, Subtext, Michael N. Fried, Sabetai Unguru. Brill, Leiden (2001), ISBN 90-04-11977-9 . . . . . . . . . . . . . 481--494 Curtis Wilson Book Review: \booktitleKepler's Philosophy and the New Astronomy, Rhonda Martens. Princeton University Press, Princeton, NJ (2000), ISBN 0-691-05069-4 485--487 I. Grattan-Guinness Book Review: \booktitleFrancesco Fa\`a di Bruno. Ricerca scientifica insegnamento e divulgazione, vol. 12, Livia Giacardi (Ed.), in: Studi e fonti per la storia della Universit\`a di Torino. Palazzo Carignano, Turin (2004) 488--489 I. Grattan-Guinnes Book Review: \booktitleL'Archivio Giuseppe Peano, 2002. ISBN 88-9007876-1-7. EUR 30. \booktitleL'opera omnia di Giuseppe Peano, 2002. ISBN 88-9007876-2-5. EUR 50 \booktitleLe riviste di Giuseppe Peano, 2003. ISBN 88-9007876-7-6. EUR 30 Edited by Clara Silvia Roero [L'Archivio also with Natalia Nervo and Tiziana Armano]. Turin (Department of Mathematics, University of Turin [L'Archivio also with the Comune di Cuneo]) [three CD-ROMs] . . . . . . . . . . . . . . . . 489--492 Jackie Stedall Book Review: \booktitleOxford Figures: 800 Years of the Mathematical Sciences, John Fauvel, Raymond Flood, Robin Wilson. Oxford University Press, Oxford (2000), ISBN 0-19-852309-2 . . . . . . . 492--494 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Kim Plofker . . . . . . . . 495--515 Anonymous Notes on contributors . . . . . . . . . 516--517 Anonymous Papers to appear in forthcoming issues 518--518 Anonymous Index of authors of articles and reviews in volume 32 . . . . . . . . . . . . . . 519--519 Anonymous Index of authors of articles and publications reviewed and abstracted in volume 32 . . . . . . . . . . . . . . . 520--526 Anonymous Contents . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ??
Antoni Malet and Marco Panza The Origins of Algebra: From al-Khwarizmi to Descartes: International Workshop held at Barcelona, 27--29 March 2003 . . . . . . . . . . . . . . . . . . 1--3 Jens Hòyrup Jacopo da Firenze and the beginning of Italian vernacular algebra . . . . . . . 4--42 Javier Docampo Rey Reading Luca Pacioli's \booktitleSumma in Catalonia: an early 16th-Century Catalan manuscript on algebra and arithmetic . . . . . . . . . . . . . . . 43--62 Antoni Malet Renaissance notions of number and magnitude . . . . . . . . . . . . . . . 63--81 Ma. Rosa Massa Esteve Algebra and geometry in Pietro Mengoli (1625--1686) . . . . . . . . . . . . . . 82--112 Eberhard Knobloch Beyond Cartesian limits: Leibniz's passage from algebraic to ``transcendental'' mathematics . . . . . 113--131 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Kim Plofker . . . . . . . . 132--145 Anonymous Notes on contributors . . . . . . . . . 146--146 Anonymous Papers to appear in forthcoming issues 147--147 Anonymous Editorial Board . . . . . . . . . . . . ??
Satyanad Kichenassamy Baudhayana's rule for the quadrature of the circle . . . . . . . . . . . . . . . 149--183 Kenneth Manders Algebra in Roth, Faulhaber, and Descartes . . . . . . . . . . . . . . . 184--209 Manuel A. Sellés Infinitesimals in the foundations of Newton's mechanics . . . . . . . . . . . 210--223 Andrea Del Centina Abel's surviving manuscripts including one recently found in London . . . . . . 224--233 Erdal Inönü Mehmet Nadir: an amateur mathematician in Ottoman Turkey . . . . . . . . . . . 234--242 Duncan J. Melville Book Review: \booktitleLengths, Widths, Surfaces. A Portrait of Old Babylonian Algebra and Its Kin, Jens Hòyrup. Springer-Verlag, New York (2002), ISBN 0-387-95303-5 . . . . . . . . . . . . . 243--248 Nathan Sidoli Book Review: \booktitleEuclid's Data: the Importance of Being Given. Museum Tusculanum Press, Copenhagen (2003), ISBN 87-7289-815-1 . . . . . . . . . . . 248--250 Janet L. Beery Book Review: \booktitleA Discourse Concerning Algebra: English Algebra to 1685. By Jacqueline A. Stedall. Oxford (Oxford University Press). 2002. ISBN 0-19-852495-1. 294 pp. \$116} . . . . . 250--253 Craig Fraser Book Review: \booktitleEssays on the History of Mechanics: In Memory of Clifford Ambrose Truesdell and Edoardo Benvenuto, Antonio Becchi, Massimo Corradi, Frederico Foce, Orietta Pedemonte (Eds.). Birkhäuser Verlag, Boston/Basel (2003), ISBN 3-7643-1476-1 253--254 Eugene Seneta Book Review: \booktitleStatistics on the Table: the History of Statistical Concepts and Methods, Paperback edition, M. Stigler Stephen (2002). Harvard Univ. Press, Cambridge, MA (1999), ISBN 0-674-00979-7 . . . . . . . . . . . . . 255--258 Rüdiger Thiele Book Review: \booktitleGauss: Titan of Science, Revised edition, with contributions by Jeremy Gray and Fritz-Egbert Dohse, G. Waldo Dunnington. Mathematical Association of America, Washington, DC (2003), ISBN 0-88385-547-X . . . . . . . . . . . . . 258--259 Ralf Krömer Book Review: \booktitleDas Homöomorphieproblem, insbesondere der 3-Mannigfaltigkeiten, in der Topologie 1892--1935: By Klaus Volkert. Philosophia scientiæ, Cahier spécial 4. Paris (Kimé). 2002. ISBN 2-84174-275-X. 343 pp. EUR 29 . . . . . . . . . . . . . 259--260 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Kim Plofker . . . . . . . . 261--270 Anonymous Notes on contributors . . . . . . . . . 271--272 Anonymous Papers to appear in forthcoming issues 273--273 Anonymous Editorial Board . . . . . . . . . . . . ??
June Barrow-Green and Jeremy Gray Geometry and its uses in physics, 1900--1930: Four papers from an Open University Conference, Milton Keynes, September 2002 . . . . . . . . . . . . . 275--276 Elena Anne Corie Marchisotto The projective geometry of Mario Pieri: a legacy of Georg Karl Christian von Staudt . . . . . . . . . . . . . . . . . 277--314 June Barrow-Green and Jeremy Gray Geometry at Cambridge, 1863--1940 . . . 315--356 Klaus Volkert Georg Klügel's dissertation (1763) now accessible on the World-Wide Web . . . . 357--358 Raymond Ayoub Book Review: \booktitleSherlock Holmes in Babylon and Other Tales of Mathematical History. Edited by Marlow Anderson, Victor Katz, and Robin Wilson. Washington, DC (The Mathematical Association of America). 2004. ISBN 0-88385-546-1. 398 pp. \$51.95} . . . . 359--361 Warren Van Egmond Book Review: \booktitleFrom China to Paris: 2000 Years Transmission of Mathematical Ideas. Edited by Yvonne Dold-Samplonius, Joseph W. Dauben, Menso Folkerts, and Benno van Dalen. Boethius, Band 46. Stuttgart (Franz Steiner Verlag). 2002. ISBN 3-515-08223-9. ix + 467 pp. Euro 68 . . . . . . . . . . . . 361--362 Kim Plofker Book Review: \booktitlePtolemy's Geography: an Annotated Translation of the Theoretical Chapters, J. Lennart Berggren, Alexander Jones. Princeton University Press, Princeton, NJ (2001), ISBN 0-691-09259-1 . . . . . . . . . . . 362--364 Antoni Malet Book Review: \booktitleGino Arrighi. La matematica dell'Et\`a di Mezzo. Scritti scelti, F. Barberini, R. Franci, L. Toti Rigatelli (Eds.). Edizioni ETS, Pisa (2004), ISBN 88-467-1043-6 . . . . . . . 364--365 C. Edward Sandifer Book Review: \booktitlePensions and Insurance before 1800: a Social History. By Christopher G. Lewin. East Lothian, Scotland (Tuckwell Press). 2003. ISBN 1-86232-211-2. xvi + 471 pp. \pounds 25 365--367 Eisso J. Atzema Book Review: \booktitleLenses and Waves. Christiaan Huygens and the Mathematical Science of Optics in the Seventeenth Century, vol. 9, Fokko Jan Dijksterhuis, in: Archimedes. New Studies in the History and Philosophy of Science and Technology. Kluwer Academic, Dordrecht (2004), ISBN 1-4020-2697-8 . . . . . . . 367--369 Jeremy Gray Book Review: \booktitleThe Mathematical Works of Bernard Bolzano. By Steve Russ. Oxford (Oxford University Press). 2004. ISBN 0-19-853930-4. xxx + 698 pp. \$229.50} . . . . . . . . . . . . . . . 369--371 Emma Connon Book Review: \booktitleAbel's Proof: an Essay on the Sources and Meaning of Mathematical Unsolvability, Peter Pesic. MIT Press, Cambridge, MA/London (2003), ISBN 0-262-16216-4 . . . . . . . . . . . 371--372 J. M. Plotkin Book Review: \booktitleFelix Hausdorff. Gesammelte Werke. Band II: Grundzüge der Mengenlehre, Egbert Brieskorn, Srishti D. Chatterji, Moritz Epple, Ulrich Felgner, Horst Herrlich, Mirek Husek, Vladimir Kanovei, Peter Koepke, Gerhard Preuß, Walter Purkert, Erhard Scholz (Eds.). Springer-Verlag, Berlin/Heidelberg/New York (2002), ISBN 3-540-42224-2 . . . . . . . . . . . . . 372--374 Francine F. Abeles Book Review: \booktitleCogwheels of the Mind. The Story of Venn Diagrams, A. W. F. Edwards. The Johns Hopkins University Press, Baltimore and London (2004), ISBN 0-8018-7434-3 . . . . . . . . . . . . . 374--376 Anonymous Abstracts . . . . . . . . . . . . . . . 377--394 Anonymous Notes on contributors . . . . . . . . . 395--396 Anonymous Papers to appear in forthcoming issues 397--397 Anonymous Editorial Board . . . . . . . . . . . . ??
Tilman Sauer Field equations in teleparallel space--time: Einstein's Fernparallelismus approach toward unified field theory . . . . . . . . . . 399--439 Erhard Scholz Introducing groups into quantum theory (1926--1930) . . . . . . . . . . . . . . 440--490 Nathan Sidoli Book Review: \booktitleClassics in the History of Greek Mathematics, Jean Christianidis (Ed.). Kluwer Academic, Dordrecht (2004), ISBN 1-4020-0081-2 . . 491--493 Robin Hartshorne Book Review: \booktitleHistoire des nombres complexes: Entre alg\`ebre et géométrie, Dominique Flament. CNRS Editions, Paris (2003), ISBN 2-271-06128-8 . . . . . . . . . . . . . 493--496 Jean Mawhin Book Review: \booktitleHenri Lebesgue. Les lendemains de l'intégrale. Lettres \`a Emile Borel, Bernard Bru, Pierre Dugac (Eds.). Vuibert, Paris (2004), ISBN 2-7117-5309-3 . . . . . . . . . . . 496--497 Tilman Sauer Book Review: \booktitleDavid Hilbert and the Axiomatization of Physics (1898--1918). From \booktitleGrundlagen der Geometrie to \booktitleGrundlagen der Physik, vol. 10, Leo Corry, in: Archimedes. New Studies in the History and Philosophy of Science and Technology. Kluwer Academic, Dordrecht/Boston/London (2004), ISBN 1-4020-2777-X . . . . . . . . . . . . . 497--500 David E. Rowe Book Review: \booktitle``Zwei wirkliche Kerle'': Neues zur Entdeckung der Gravitationsgleichungen der Allgemeinen Relativitätstheorie durch Albert Einstein und David Hilbert, Wuensch Daniela. Termessos, Göttingen (2005), ISBN 3-938016-04-3 . . . . . . . . . . . . . 500--508 David E. Rowe ``Two genuine guys'': New information on the discovery of the gravitation equations of the General Relativity Theory through Albert Einstein and David Hilbert . . . . . . . . . . . . . . . . 500--508 Anonymous Abstracts: Edited by Sloan Evans Despeaux and Kim Plofker . . . . . . . . 509--526 Anonymous Notes on contributors . . . . . . . . . 527--527 Anonymous Papers to appear in forthcoming issues 528--528 Anonymous Index of authors of articles and reviews in volume 33 . . . . . . . . . . . . . . 529--529 Anonymous Index of authors of articles and publications reviewed and abstracted in volume 33 . . . . . . . . . . . . . . . 530--533 Anonymous Editorial Board . . . . . . . . . . . . ??
Benno van Dalen and June Barrow-Green Editorial . . . . . . . . . . . . . . . 1--2 Kim Plofker David Pingree (1933--2005) . . . . . . . 3--6 Rüdiger Thiele A birthday tribute to Karin Reich, with a selected bibliography . . . . . . . . 7--9 Christopher Cullen The \booktitleSu\`an sh\`u shu, ``Writings on reckoning'': Rewriting the history of early Chinese mathematics in the light of an excavated manuscript . . 10--44 Jeffrey A. Oaks and Haitham M. Alkhateeb Simplifying equations in Arabic algebra 45--61 Giovanni Ferraro Convergence and formal manipulation in the theory of series from 1730 to 1815 62--88 Sloan Evans Despeaux Launching mathematical research without a formal mandate: the role of university-affiliated journals in Britain, 1837--1870 . . . . . . . . . . 89--106 Jan van Maanen Book Review: \booktitleJohn Pell (1611--1685) and his correspondence with Sir Charles Cavendish. The mental world of an early modern mathematician, Noel Malcolm, Jacqueline Stedall. Oxford University Press, Oxford (2005), ISBN 0-19-856484-8 . . . . . . . . . . . . . 107--108 Jaap Maat Book Review: \booktitleThe Correspondence of John Wallis (1616--1703): Volume II (1660--September 1668), Philip Beeley, Christoph J. Scriba (Eds.). Oxford University Press, Oxford (2005), ISBN 0-19-856601-8 . . . 108--111 I. Grattan-Guinness Book Review: \booktitleKardinalität und Kardinäle. Wissenschaftshistorische Aufarbeitung der Korrespondenz zwischen Georg Cantor und katholischen Theologen seiner Zeit, vol. 53, Christian Tapp, in: Boethius: Texte und Abhandlungen zur Geschichte der Mathematik und der Naturwissenschaften. Franz Steiner Verlag, Stuttgart (2005), ISBN 3-515-08620-X . . . . . . . . . . . . . 111--112 Christoph J. Scriba Book Review: \booktitleFelix Hausdorff. Gesammelte Werke. Band VII: Philosophisches Werk, Werner Stegmaier (Ed.). Springer-Verlag, Berlin/Heidelberg/New York (2004), ISBN 3-540-20836-4 . . . . . . . . . . . . . 112--113 Reinhard Siegmund-Schultze Book Review: \booktitleLandmark Writings in Western Mathematics 1640---1940, I. Grattan-Guinness (Ed.). Elsevier, Amsterdam (2005), ISBN 0-444-50871-6 . . 114--115 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 116--133 Anonymous Notes on contributors . . . . . . . . . 134--135 Anonymous Papers to appear in forthcoming issues 136--136 Anonymous Editorial Board . . . . . . . . . . . . ??
Sergei S. Demidov and Ioannis M. Vandoulakis Isabella Grigoryevna Bashmakova (1921--2005) . . . . . . . . . . . . . . 137--139 Bruce Pourciau Force, deflection, and time: Proposition VI of Newton's Principia . . . . . . . . 140--172 David R. Bellhouse Lord Stanhope's papers on the Doctrine of Chances . . . . . . . . . . . . . . . 173--186 Luís Miguel Carolino Cristoforo Borri and the epistemological status of mathematics in seventeenth-century Portugal . . . . . . 187--205 Reinhard Siegmund-Schultze and Sandy Zabell Richard von Mises and the ``problem of two races'': a statistical satire in 1934 . . . . . . . . . . . . . . . . . . 206--220 Wladimir G. Boskoff and Bogdan D. Suceava Barbilian spaces: the history of a geometric idea . . . . . . . . . . . . . 221--224 Jens Hòyrup Book Review: \booktitleL'Alg\`ebre arabe. Gen\`ese d'un art By Ahmed Djebbar. Préface de Bernard Maitte. Paris ($ \ll $Inflexions$ \gg $, collection dirigée par Jean Rosmorduc; Vuibert/ADAPT-SNES). 2005. ISBN 2 7117 5381 6 (Vuibert), 2 9096 8065 7 (ADAPT). viii + 212 pp. . . . . . . . . . . . . . 225--227 Edith Dudley Sylla Book Review: \booktitleQuestiones circa Tractatum Proportionum Magistri Thome Braduardini By Blaise de Parme. Edited by Joel Biard and Sabine Rommevaux. Textes Philosophiques du Moyen Age XXII. Paris (Vrin). 2005 . . . . . . . . . . . 227--229 Eberhard Knobloch Book Review: \booktitleClavius, une clé pour Euclide au XVIe si\`ecle, Sabine Rommevaux. Librairie Philosophique J. Vrin, Paris (2005), ISBN 2-7116-1787-4 229--230 Olivier Bruneau Book Review: \booktitleNewton et les origines de l'Analyse: 1664--1666, Marco Panza. Albert Blanchard, Paris (2005), ISBN 2-85367-230-1 . . . . . . . . . . . 230--231 Thomas Drucker Book Review: \booktitleThe Political Pamphlets and Letters of Charles Lutwidge Dodgson and Related Pieces: a Mathematical Approach, Francine F. Abeles (Ed.). Lewis Carroll Society of North America, New York (2001), ISBN 0-930326-14-8 . . . . . . . . . . . . . 231--233 Patti W. Hunter Book Review: \booktitleKarl Pearson: the Scientific Life in a Statistical Age, Theodore M. Porter. Princeton University Press, Princeton, NJ (2004), ISBN 0-691-11445-5 . . . . . . . . . . . . . 233--236 Victor J. Katz Book Review: \booktitleFrom Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom, Amy Shell-Gellasch, Dick Jardine (Eds.). The Mathematical Association of America, Washington, DC (2005), ISBN 0-88385-178-4 . . . . . . . . . . . . . 236--238 Robert E. Bradley Book Review: \booktitleMathematics and the Historian's Craft: the Kenneth O. May Lectures, Glen Van Brummelen, Michael Kinyon (Eds.). Springer-Verlag, New York (2005), ISBN 0-387-25284-3 . . 238--240 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 241--258 Anonymous Notes on contributors . . . . . . . . . 259--260 Anonymous Editorial Board . . . . . . . . . . . . ??
John E. Murdoch Marshall Clagett (1916--2005) . . . . . 261--265 Yibao Xu Li Di (1927--2006) . . . . . . . . . . . 266--270 David E. Zitarelli Straddling centuries: the struggles of a mathematician and his university to enter the ranks of research mathematics, 1870--1950 . . . . . . . . . . . . . . . 271--288 Jean Christianidis The way of Diophantus: Some clarifications on Diophantus' method of solution . . . . . . . . . . . . . . . . 289--305 John Hannah False position in Leonardo of Pisa's \booktitleLiber abbaci . . . . . . . . . 306--332 Gregory H. Moore The evolution of the concept of homeomorphism . . . . . . . . . . . . . 333--343 Barnabas B. Hughes Book Review: \booktitleGiochi matematici alla corte di Carlomagno. Problemi per rendere acuta la mente dei giovani, Raffaella Franci. Edizioni ETS, Pisa (2005), ISBN 88-467-1351-6 . . . . . . . 344--345 Sonja Brentjes Book Review: \booktitleLe Développement de la Géométrie aux IXe-XIe Si\`ecles. Abu Sahl al-Quhi, Philippe Abgrall, in: Librairie Scientifique et Technique, Collection Sciences dans l'Histoire. Albert Blanchard, Paris (2004), ISBN 2-85367-221-2 . . . . . . . . . . . . . 346--348 Alfred Nordmann Book Review: \booktitleMechanistic Images in Geometric Form: Heinrich Hertz's Principles of Mechanics, Jesper Lützen. Oxford University Press, Oxford (2005), ISBN 0-19-856737-5 . . . . . . . 349--352 Erhard Scholz Book Review: \booktitleHausdorff on Ordered Sets, vol. 25, J. M. Plotkin (Ed.), in: History of Mathematics. American Mathematical Society, London Mathematical Society, Providence, RI (2005), ISBN 0-8218-3788-5 . . . . . . . 352--354 Helmut Rechenberg Book Review: \booktitleJohn von Neumann: Selected Letters, vol. 27, Miklós Rédei (Ed.), in: History of Mathematics. American Mathematical Society, London Mathematical Society, Providence, RI (2005), ISBN 0-8218-3776-1 . . . . . . . 354--356 Marlow Anderson Book Review: \booktitleMusings of the Masters: an Anthology of Mathematical Reflections, Raymond G. Ayoub (Ed.). The Mathematical Association of America, Washington, DC (2004), ISBN 0-88385-549-6 . . . . . . . . . . . . . 356--358 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 359--374 Anonymous Notes on contributors . . . . . . . . . 375--376 Anonymous Editorial Board . . . . . . . . . . . . ??
John Steele Asger Aaboe (1922--2007) . . . . . . . . 377--379 Jacqueline Stedall Symbolism, combinations, and visual imagery in the mathematics of Thomas Harriot . . . . . . . . . . . . . . . . 380--401 Johanna Pejlare Torsten Brodén's work on the foundations of Euclidean geometry . . . . . . . . . 402--427 Heinz-Dieter Ebbinghaus Zermelo and the Heidelberg Congress 1904 428--432 J. L. Berggren Book Review: \booktitleAl-Farghani on the Astrolabe, Band 52, Richard Lorch (Ed.), in: Boethius. Franz Steiner Verlag, Stuttgart (2005), ISBN 3-515-08713-3 . . . . . . . . . . . . . 433--434 David Bellhouse Book Review: \booktitleThe Art of Conjecturing, together with Letter to a Friend on Sets in Court Tennis. The Johns Hopkins University Press, Baltimore (2005), ISBN 0-8018-8235-4 . . 435--436 Robin Wilson Book Review: \booktitleArthur Cayley: Mathematician Laureate of the Victorian Age, Tony Crilly. The Johns Hopkins University Press, Baltimore (2006), ISBN 0-8018-8011-4 . . . . . . . . . . . . . 436--439 David E. Rowe Book Review: \booktitleDavid Hilbert's Lectures on the Foundations of Geometry, 1891--1902, Michael Hallett, Ulrich Majer (Eds.). Springer-Verlag, Berlin, Heidelberg, New York (2004), ISBN 978-3-540-64373-9 . . . . . . . . . . . 440--443 David E. Zitarelli Book Review: \booktitlePursuit of Genius: Flexner, Einstein, and the Early Faculty at the Institute for Advanced Study, Steve Batterson. A. K. Peters, Wellesley, MA (2006), ISBN 978-1-56881-259-5 . . . . . . . . . . . 443--446 Edward Jurkowitz Book Review: \booktitleArnold Sommerfeld. Wissenschaftlicher Briefwechsel. Band I: 1892--1918, Band II: 1919--1951, CD-ROM: 1892--1951, Michael Eckert, Karl Märker (Eds.). Verlag für Geschichte der Naturwissenschaften und der Technik, Diepholz (2000) (2004), ISBN 978-3-928186-44-5 . . . . . . . . . . . 446--448 Karen Hunger Parshall Book Review: \booktitleR. L. Moore: Mathematician and Teacher, John Parker. Mathematical Association of America (2005), ISBN 0-88385-550-X . . . . . . . 448--451 Stacy G. Langton Book Review: \booktitleDr. Euler's Fabulous Formula: Cures Many Mathematical Ills, Paul J. Nahin. Princeton University Press, Princeton (2006), ISBN 0-691-11822-1 . . . . . . . 451--454 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 455--473 Anonymous Notes on contributors . . . . . . . . . 474--475 Anonymous Editorial Board . . . . . . . . . . . . ??
Abdulrahman A. Abdulaziz On the Egyptian method of decomposing $ 2 / n $ into unit fractions . . . . . . 1--18 Benjamin Wardhaugh Musical logarithms in the seventeenth century: Descartes, Mercator, Newton . . 19--36 Paul R. Wolfson George Boole and the origins of invariant theory . . . . . . . . . . . . 37--46 Clemency Williams Book Review: \booktitleExpounding the Mathematical Seed: a translation of Bhaskara I on the Mathematical Chapter of the Aryabha\dtiya, Agathe Keller. Birkhaüser, Basel, Boston, Berlin (2006), ISBN 978-3-7643-7299-6 . . . . . . . . . 47--50 Charles Burnett Book Review: \booktitleCampanus of Novara and Euclid's \booktitleElements, 2 vols, Band 51 (1--2), H. L. L. Busard, in: Boethius. Franz Steiner-Verlag, Stuttgart (2005) . . . . . . . . . . . . 50--51 Laura E. Turner Book Review: \booktitleMathematics and Social Utopias in France: Olinde Rodrigues and His Times, Simon Altmann, Eduardo L. Ortiz (Eds.). American Mathematical Society, Providence (2005), ISBN 978-0-8218-3860-0 . . . . . . . . . 52--53 Della D. Fenster Book Review: \booktitleExposition by Emil Artin: a Selection, vol. 30, M. Rosen (Ed.), in: History of Mathematics. American Mathematical Society/London Mathematical Society, Providence/London (2006), ISBN 978-0-8218-4172-3 . . . . . 53--56 Reinhard Siegmund-Schultze Book Review: \booktitleBiographisches Lexikon in Mathematik promovierter Personen an deutschen Universitäten und Technischen Hochschulen WS 1907/08 bis WS 1944/45, R. Tobies. Erwin Rauner Verlag, Augsburg (2006), ISBN 3-936905-21-5 . . . . . . . . . . . . . 56--57 Gianluigi Oliveri Book Review: \booktitleThe Architecture of Modern Mathematics: Essays in History and Philosophy, José Ferreirós, Jeremy Gray. Oxford University Press, Oxford (2006), ISBN 978-0-19-856793-6 . . . . . 57--60 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 61--79 Anonymous Notes on contributors . . . . . . . . . 80--81 Anonymous Editorial Board . . . . . . . . . . . . ??
Juan Navarro-Loidi and José Llombart The introduction of logarithms into Spain . . . . . . . . . . . . . . . . . 83--101 Deborah Kent \booktitleThe Mathematical Miscellany and \booktitleThe Cambridge Miscellany of Mathematics: Closely connected attempts to introduce research-level mathematics in America, 1836--1843 . . . 102--122 Irene Polo-Blanco Alicia Boole Stott, a geometer in higher dimension . . . . . . . . . . . . . . . 123--139 Ronald Calinger Book Review: \booktitleThe Early Mathematics of Leonhard Euler, C. Edward Sandifer. The Mathematical Association of America, Washington, DC (2007), ISBN 0-88385-559-3 . . . . . . . . . . . . . 140--141 Christoph J. Scriba Book Review: \booktitleLeonhard Euler. Birkhäuser Verlag, Basel/Boston/Berlin (2007), ISBN 3-7643-7538-8 . . . . . . . 142--143 I. Grattan-Guinness Book Review: \booktitleEuler at 300. An appreciation, R. E. Bradley, L. A. D'Antonio, C. E. Sandifer (Eds.). The Mathematical Association of America, Washington, DC (2007), ISBN 978-0-88385-565-2 . . . . . . . . . . . 143--144 Rüdiger Thiele Book Review: \booktitleEuler and Modern Science, N. N. Bogolyubov, G. K. Mikhailov, A. P. Yushkevich (Eds.). The Mathematical Association of America, Washington, DC (2007), ISBN 978-0-88385-564-5 . . . . . . . . . . . 144--147 Anonymous Notes on contributors . . . . . . . . . 148--149 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 150--168 Anonymous Editorial Board . . . . . . . . . . . . ??
Anonymous Kenneth O. May Prize of the International Commission on the History of Mathematics . . . . . . . . . . . . . 169--169 Menso Folkerts and Karin Reich Helmuth Gericke (1909--2007) . . . . . . 170--172 Carlos H. B. Gonçalves An alternative to the Pythagorean rule? Reevaluating Problem 1 of cuneiform tablet BM 34 568 . . . . . . . . . . . . 173--189 M. Céu Silva The algebraic content of Bento Fernandes's \booktitleTratado da arte de arismetica (1555) . . . . . . . . . . . 190--219 Gregory H. Moore The emergence of open sets, closed sets, and limit points in analysis and topology . . . . . . . . . . . . . . . . 220--241 Norma B. Goethe Modes of representation, working tools, and the history of mathematics . . . . . 242--247 David Rabouin Book Review: \booktitleVerit\`a matematiche e forme della natura da Galileo a Newton, Emilio Sergio. Aracne, Rome (2006), ISBN 88-548-0626-9 . . . . 248--249 David Bellhouse Book Review: \booktitleDisciplining Statistics: Demography and Vital Statistics in France and England, 1830--1885, Libby Schweber. Duke University Press, Durham and London (2006), ISBN 0-8223-3814-9 . . . . . . . 249--252 Jeremy Gray Book Review: \booktitleLes Théor\`emes de Noether. Invariance et lois de conservation au XXe si\`ecle, avec une traduction de l'article original, ``Invariante Variationsprobleme'', 2nd, revised edition, Y. Kosmann-Schwarzbach, L. Meersseman. Éditions de l'École Polytechnique, Palaiseau (2006), ISBN 2-7302-1138-1 . . . . . . . . . . . . . 252--253 Anonymous Notes on contributors . . . . . . . . . 254--255 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 256--272 Anonymous Editorial Board . . . . . . . . . . . . ??
Fritz A. Krafft and Christoph J. Scriba Nikolai Nikolajevich Stuloff (1914--2006) . . . . . . . . . . . . . . 273--276 Luca Miatello The difference $ 5 1 \over 2 $ in a problem of rations from the Rhind mathematical papyrus . . . . . . . . . . 277--284 Ma. Rosa Massa Esteve Symbolic language in early modern mathematics: the Algebra of Pierre Hérigone (1580--1643) . . . . . . . . . . 285--301 Luis Manuel Ribeiro Saraiva Mathematics in the \booktitleMemoirs of the Lisbon Academy of Sciences in the 19th Century . . . . . . . . . . . . . . 302--326 Ralf Krömer A German translation of Euler's articles on the polyhedron formula now available on the World Wide Web . . . . . . . . . 327--328 Curtis Wilson Book Review: \booktitleJean le Rond d'Alembert, Oeuvres Compl\`etes, Série I, Traités et mémoires mathématiques, 1736--1756, Volume 7, Précession et nutation (1749--1752), Michelle Chapront--Touzé, Jean Souchay (Eds.). CNRS Éditions, Paris (2006) . . . . . . . 329--332 David E. Rowe Book Review: \booktitleWalther von Dyck (1856--1934). Mathematik, Technik und Wissenschaftsorganisation an der TH München, Ulf Hashagen. Franz Steiner Verlag, Stuttgart (2003) . . . . . . . . 333--334 Jesper Lützen Book Review: \booktitlePerspectives on Scandinavian Science in the Early Twentieth Century, Reinhard Siegmund-Schultze, Sòrensen (Eds.). The Norwegian Academy of Sciences and Letters. Novus Forlag, Oslo (2006), ISBN 978-82-7099-442-7 . . . . . . . . . . . 334--336 Peter M. Neumann Book Review: \booktitleEpisodes in the History of Modern Algebra, vol. 32, Jeremy J. Gray, Karen Hunger Parshall (Eds.), in: History of Mathematics. American Mathematical Society, London Mathematical Society, Providence and London (2007), ISBN 978-0-8218-4343-7 337--338 Marco Panza Book Review: \booktitleIncógnitas, variables y otros fantasmas matemáticos. El lenguaje de la variación y la covariación numéricas, Angel Marín. Universidad Pública de Navarra, Pamplona (2006), ISBN 84-9769-173-3 . . . . . . . 338--339 W. H. Donahue Book Review: \booktitleMiscellanea Kepleriana. Festschrift für Volker Bialas zum 65. Geburtstag, F. Boockmann, D. A. Di Liscia, H. Kothmann (Eds.). Dr. Erwin Rauner Verlag, Augsburg (2005) . . . . . 340--341 Sloan Evans Despeaux and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 342--358 Anonymous Notes on contributors . . . . . . . . . 360--361 Anonymous Editorial Board . . . . . . . . . . . . ??
Benno van Dalen Journals under threat: a joint response from history of science, technology and medicine editors . . . . . . . . . . . . 1--3 Niccol\`o Guicciardini Derek Thomas Whiteside (1932--2008) . . 4--9 Joe Albree and Scott H. Brown ``A valuable monument of mathematical genius'': the \booktitleLadies' Diary (1704--1840) . . . . . . . . . . . . . . 10--47 Maarten Bullynck Modular arithmetic before C. F. Gauss: Systematizations and discussions on remainder problems in 18th-Century Germany . . . . . . . . . . . . . . . . 48--72 Jens Hòyrup Book Review: \booktitleFibonacci's De Practica Geometrie, Barnabas Hughes (Ed.), in: Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York (2008), ISBN 978-0-387-72930-5 . . . . . . . . . 73--77 Menso Folkerts Book Review: \booktitleCirca inicium algorismi. Die Algorismus-Vorlesung von Nicolaus Matz. Mit dem Faksimile des Autographen aus der Handschrift D 692 der Nicolaus-Matz-Bibliothek (Kirchenbibliothek) Michelstadt, Martin Hellmann (Ed.). Stadt Michelstadt, Michelstadt (2006) . . . . . . . . . . . 78--79 Jacqueline Stedall Book Review: \booktitle`Magic is no magic': the wonderful world of Simon Stevin, J. T. Devreese, G. Vanden Berghe. WIT Press, Southampton, Boston (2008), ISBN 978-1-84564-092-7 . . . . . 79--80 Philip Beeley Book Review: \booktitleDal movimento alla forza. Leibniz: l'infinitesimo tra logica e metafisica, Raffaele Cirino. Rubbettino, Soveria Mannelli (2006), ISBN 88 498 1593-X . . . . . . . . . . . 80--82 Albert C. Lewis Book Review: \booktitleGraßmann, Hans-Joachim Petsche. Birkhäuser, Basel, Boston, Berlin (2006), ISBN 978-3-7643-7257-6 . . . . . . . . . . . 82--85 Todd Timmons Book Review: \booktitleOf the Human Heart: a Biography of Benjamin Peirce, Edward R. Hogan. Lehigh University Press, Bethlehem (2008), ISBN 978-0-934223-93-5 . . . . . . . . . . . 85--87 Jesper Lützen Book Review: \booktitleAxiomatik und Empirie. Eine wissenschaftstheoriegeschichtliche Untersuchung zur Mathematischen Naturphilosophie von Newton bis Neumann (Axiomatics and empiricism. An investigation from the point of view of the history of the theory of science of mathematical natural philosophy from Newton through Neumann), Helmut Pulte. Wissenschaftliche Buchgesellschaft, Darmstadt (2005), ISBN 3-534-15894-6 . . 87--89 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 90--108 Norma B. Goethe Erratum to ``Modes of representation, working tools, and the history of mathematics'' [\booktitleHistoria Math. \bf 35 (3) (2008) 242--247] . . . . . . 109--109 Anonymous Notes on contributors . . . . . . . . . 110--111 Anonymous Editorial Board . . . . . . . . . . . . ??
Javier Docampo Rey Algebraic diagrams in an early sixteenth-century Catalan manuscript and their possible sources . . . . . . . . . 113--136 Maarten Bullynck Decimal periods and their tables: a German research topic (1765--1801) . . . 137--160 Alfonso F. Agnew and Alexandru Bobe and Wladimir G. Boskoff and Bogdan D. Suceava Gheorghe Titeica and the origins of affine differential geometry . . . . . . 161--170 Hardy Grant What's in a word? Symmetry through the centuries . . . . . . . . . . . . . . . 171--177 Henrique Leitão Book Review: \booktitleAnálise Histórica de Livros de Matemática. Notas de Aula, Gert Schubring. Autores Associados, Campinas, SP (2003), ISBN 85-7496-061-6 178--179 Edward Sandifer Book Review: \booktitleThe Rise and Development of the Theory of Series up to the Early 1820s, Giovanni Ferraro. Springer, New York (2008), ISBN 978-0-387-73467-5 . . . . . . . . . . . 179--182 Jeremy Gray Book Review: \booktitleThe Geometry of an Art: the History of the Mathematical Theory of Perspective from Alberti to Monge, Kirsti Andersen. Springer, New York (2007) . . . . . . . . . . . . . . 182--183 Sloan Evans Despeaux Book Review: \booktitleMr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century, Alex D. D. Craik. Springer, London (2007), ISBN 978-1-84628-790-9 . . . . . . . . . . . 183--185 Tilman Sauer Book Review: \booktitleLa correspondance entre Henri Poincaré et les physiciens, chimistes, et ingénieurs. Birkhäuser, Basel, Boston, Berlin (2007), ISBN 978-3-7643-7136-4 . . . . . . . . . . . 185--188 Rossana Tazzioli Book Review: \booktitleDalla ``moderna geometria'' alla ``nuova geometria italiana.'' Viaggiando per Napoli, Torino e dintorni. Lettere di: Sannia, Segre, Peano, Castelnuovo, D'Ovidio, Del Pezzo, Pascal e altri a Federico Amodeo. By F. Palladino and N. Palladino, with the collaboration of F. S. Tortoriello (Eds.). Firenze (Leo S. Olschki). 2006. ISBN 88-222-5529-1. lx, 570 pp. EUR 60 188--189 Gerhard Heinzmann Book Review: \booktitleOskar Becker und die Philosophie der Mathematik, Volker Peckhaus (Ed.). Wilhelm Fink Verlag, München (2005), 352, ISBN 3-7705-4126-X 189--191 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 192--210 Anonymous Notes on contributors . . . . . . . . . 211--212 Anonymous Editorial Board . . . . . . . . . . . . ??
Karine Chemla On mathematical problems as historically determined artifacts: Reflections inspired by sources from ancient China 213--246 Alex D. D. Craik A proportional view: the mathematics of James Glenie (1750--1817) . . . . . . . 247--272 Laura Martini Book Review: \booktitleA History of Abstract Algebra, Israel Kleiner. Birkhäuser, Boston (2007), ISBN 978-0-8176-4684-4 . . . . . . . . . . . 273--274 John J. Watkins Book Review: \booktitleThe Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators, Alexander Soifer. Springer Science + Business Media, LLC, New York (2009), ISBN 978-0-387-74640-1 . . . . . . . . . 275--277 Jens Hòyrup Book Review: \booktitleArithmetische und algebraische Schriften der frühen Neuzeit, vol. 17, Rainer Gebhardt (Ed.), in: Schriften des Adam-Ries-Bundes Annaberg-Buchholz. Adam-Ries-Bund, Annaberg-Buchholz (2005), ISBN 3-930430-68-1 . . . . . . . . . . . . . 278--279 Marco Panza Book Review: \booktitleJohn Wallis. Una vita per un progetto, Luigi Maier\`u. Rubettino Editore, Soveria Mannelli (2007), ISBN 978-88-498-1904-5 . . . . . 279--281 Robert E. Bradley Book Review: \booktitleLeonhard Euler $ \ll $ incomparable géom\`etre$ g g $, Philippe Henry. Editions Médicine et Hygi\`ene, Geneva (2007), ISBN 978-2-88049-241-0 . . . . . . . . . . . 281--283 Amy Shell-Gellasch Book Review: \booktitleTools of American Mathematics Teaching, 1800--2000, Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, David Lindsay Roberts. Johns Hopkins University Press, Baltimore (2008), ISBN 978-0-8018-8814-4 . . . . . . . . . . . 283--285 Gert Schubring Book Review: \booktitleStuttgarter Mathematiker: Geschichte der Mathematik an der Universität Stuttgart von 1829 bis 1945 in Biographien, Karl-Heinz Böttcher, Bertram Maurer. Universität Stuttgart, Stuttgart (2008), ISBN 978-3-926269-34-8 285--287 Francine F. Abeles Book Review: \booktitleLewis Carroll in Numberland. His Fantastical Mathematical Logical Life, Robin Wilson. Norton, New York/London (2008), ISBN 978-0-393-06027-0 . . . . . . . . . . . 287--289 Thomas Archibald Book Review: \booktitleItalian Mathematics Between the Two World Wars, Angelo Guerraggio, Pietro Nastasi. Birkhäuser, Basel (2006), ISBN 978-3-7643-6555-4 . . . . . . . . . . . 289--290 Patricia R. Allaire Book Review: \booktitleHands on History: a Resource for Teaching Mathematics, Amy Shell-Gellasch (Ed.). The Mathematical Association of America, Washington, DC (2007), ISBN 978-0-88385-182-1 . . . . . 291--292 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 293--313 Niccol\`o Guicciardini Corrigendum to ``Derek Thomas Whiteside (1932--2008)'' [\booktitleHistoria Math. \bf 36 (1) (2009) 4--9] . . . . . . . . 314--314 Anonymous Notes on contributors . . . . . . . . . 315--316 Anonymous Editorial Board . . . . . . . . . . . . ??
Menso Folkerts Hubertus L. L. Busard: (1923--2007) . . 317--320 Gregg De Young Diagrams in ancient Egyptian geometry: Survey and assessment . . . . . . . . . 321--373 Jesper Lützen Why was Wantzel overlooked for a century? The changing importance of an impossibility result . . . . . . . . . . 374--394 Peggy Aldrich Kidwell Computing devices, mathematics education and mathematics: Sexton's omnimetre in its time . . . . . . . . . . . . . . . . 395--404 Aleksandar Nikoli\'c The story of majorizability as Karamata's condition of convergence for Abel summable series . . . . . . . . . . 405--419 Craig G. Fraser Sufficient conditions, fields and the calculus of variations . . . . . . . . . 420--427 Duncan J. Melville Mathematics in Ancient Iraq: a Social History . . . . . . . . . . . . . . . . 428--433 Victor J. Katz Mathematics Emerging: a Sourcebook 1540--1900 . . . . . . . . . . . . . . . 433--436 Robert E. Bradley Book Review: \booktitleLacroix and the Calculus. By João Caramalho Domingues. Basel (Birkhäuser). 2008. ISBN 978-3-7643-8637-5. 468 pp. US\$169.00} 437--439 Josipa G. Petruni\'c Kelvin: Life, Labours and Legacy . . . . 439--444 Della D. Fenster Plato's Ghost: the Modernist Transformation of Mathematics . . . . . 444--447 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 448--470 Anonymous Notes on contributors (2pp) . . . . . . 471--472 Anonymous Cover 2 (C2): Editorial Board . . . . . ??
June Barrow-Green and Niccol\`o Guicciardini Editorial . . . . . . . . . . . . . . . 1--2 Tyge Burgess Publisher's Note . . . . . . . . . . . . 3--3 Anonymous The sixth award of the Kenneth O. May Medal and Prize . . . . . . . . . . . . 4--7 Annette B. Vogt Boris Abramovich Rosenfeld: (1917--2008) 8--10 Leon Cooper A new interpretation of Problem 10 of the Moscow Mathematical Papyrus . . . . 11--27 Satyanad Kichenassamy Brahmagupta's derivation of the area of a cyclic quadrilateral . . . . . . . . . 28--61 Jiang-Ping Jeff Chen The evolution of transformation media in spherical trigonometry in 17th- and 18th-Century China, and its relation to ``Western learning'' . . . . . . . . . . 62--109 Craig G. Fraser Book Review: \booktitleThe Princeton Companion to Mathematics. Edited by Timothy Gowers. Associate Editors June Barrow-Green and Imre Leader. Princeton (Princeton University Press). 2008. ISBN 978-0-691-11880-2. 1008 pp. \$99.00} . . 110--112 Hardy Grant Book Review: \booktitleThe Oxford Handbook of the History of Mathematics. Edited by Eleanor Robson and Jacqueline Stedall. Oxford (Oxford University Press). 2009. ISBN 978-0-19-921312-2. vii + 918 pp. \pounds 85.00 . . . . . . 112--118 Glen Van Brummelen Aspects of the Astrolabe: `Architectonica Ratio' in Tenth- and Eleventh-century Europe . . . . . . . . 118--120 Lawrence D'Antonio Book Review: \booktitleThe St. Petersburg School of Number Theory. By B. N. Delone. Translated from the Russian by Robert Burns. History of Mathematics, vol. 26. Providence/London (American Mathematical Society/London Mathematical Society). 2005. ISBN 978-0-8218-3457-2. xv + 278 pp. US\$62.00}. . . . . . . . . . . . . . . 120--124 Amy Ackerberg-Hastings Book Review: \booktitlePioneering Women in American Mathematics: the Pre-1940 PhD's. By Judy Green and Jeanne LaDuke. Providence, Rhode Island (American Mathematical Society). 2009. ISBN 0-8218-4376-1. xviii + 350 pp. US\$79.00} . . . . . . . . . . . . . . . 124--128 Anonymous Abstracts . . . . . . . . . . . . . . . 129--153 Anonymous Notes on contributors (2pp) . . . . . . 154--155 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Anonymous The Montucla Prize, 2009 . . . . . . . . 157--158 Benno van Dalen Edward S. Kennedy: 1912--2009 . . . . . 159--163 June Barrow-Green The dramatic episode of Sundman . . . . 164--203 Reinhard Siegmund-Schultze Sets versus trial sequences, Hausdorff versus von Mises: ``Pure'' mathematics prevails in the foundations of probability around 1920 . . . . . . . . 204--241 Ulf Hashagen Die Habilitation von John von Neumann an der Friedrich-Wilhelms-Universität in Berlin: Urteile über einen ungarisch-jüdischen Mathematiker in Deutschland im Jahr 1927. (German) [The habilitation of John von Neumann at the Friedrich Wilhelm University in Berlin: Judgments about a Hungarian Jewish Mathematician in Germany in 1927] . . . 242--280 Alexei Volkov Commentaries upon commentaries: the translation of the \booktitleJiu zhang suan shu by Karine Chemla and Guo Shuchun . . . . . . . . . . . . . . . . 281--301 Miquel Forcada Book Review: \booktitleLes mathématiques infinitésimales du IXe au XIe si\`ecle. Volume V: Ibn al-Haytham, Astronomie, géométrie sphérique et trigonométrie. By Roshdi Rashed. London (Al-Furqan Islamic Heritage Foundation). 2006. ISBN 1-905122-09-8, vol. 5. xiv, 972, v pp. No price given . . . . . . . . . . . . . 302--305 W. R. Laird Mathématiques et théorie du mouvement (XIVe --- XVIe si\`ecles) . . . . . . . 305--308 Andrew Perry Book Review: \booktitleMathematical Works Printed in the Americas, 1554--1700. By Bruce Stanley Burdick. Baltimore (The Johns Hopkins University Press). 2009. ISBN 978-0-8018-8823-6. 392 pp. \$55.00} . . . . . . . . . . . . 308--309 Tilman Sauer Ludwig Boltzmann (1844--1906): Zum hundertsten Todestag [hundredth anniversary of his death] . . . . . . . 310--311 Della D. Fenster and Joachim Schwermer Emil Artin und Helmut Hasse: Die Korrespondenz 1923--1934 . . . . . . . . 312--314 Jeremy Gray Book Review: \booktitleErhabene Welten: das Leben Rolf Nevanlinnas. By Olli Lehto. Translated from Finnish by M. Stern. Boston (Birkhäuser). 2008. ISBN 978-7643-7701-4. ix + 299 pp. No price given . . . . . . . . . . . . . . . . . 314--316 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 317--338 Anonymous Notes on contributors (2pp) . . . . . . 339--340 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Sébastien Maronne Contexts, emergence and issues of Cartesian geometry: In honour of Henk Bos's 70th birthday . . . . . . . . . . 341--344 Jan P. Hogendijk The scholar and the fencing master: the exchanges between Joseph Justus Scaliger and Ludolph van Ceulen on the circle quadrature (1594--1596) . . . . . . . . 345--375 Liesbeth C. de Wreede A dialogue on the use of arithmetic in geometry: Van Ceulen's and Snellius's \booktitleFundamenta Arithmetica et Geometrica . . . . . . . . . . . . . . . 376--402 Paolo Mancosu and Andrew Arana Descartes and the cylindrical helix . . 403--427 David Rabouin What Descartes knew of mathematics in 1628 . . . . . . . . . . . . . . . . . . 428--459 Sébastien Maronne The ovals in the \booktitleExcerpta Mathematica and the origins of Descartes' method of normals . . . . . . 460--484 Erik-Jan Bos Princess Elizabeth of Bohemia and Descartes' letters (1650--1665) . . . . 485--502 Dominique Descotes An unknown mathematical manuscript by Blaise Pascal . . . . . . . . . . . . . 503--534 Massimo Galuzzi Newton's attempt to construct a unitary view of mathematics . . . . . . . . . . 535--562 Anonymous Notes on contributors (2pp) . . . . . . 563--564 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Yibao Xu and Fengxian Xu Chen Meidong: (1942--2008) . . . . . . . 565--567 Ramon Masi\`a-Fornos A ``lacuna'' in Proposition 9 of Archimedes' \booktitleOn the Sphere and the Cylinder, Book I . . . . . . . . . . 568--578 Ken Saito and Nathan Sidoli The function of diorism in ancient Greek analysis . . . . . . . . . . . . . . . . 579--614 Barnabas Hughes An early abridgement of Fibonacci's De practica geometrie . . . . . . . . . . . 615--640 Reinhard Laubenbacher and David Pengelley ``Voici ce que j'ai trouvé:'' Sophie Germain's grand plan to prove Fermat's \booktitleLast Theorem . . . . . . . . . 641--692 Reinhard Siegmund-Schultze On a missed opportunity for collaboration between historians and mathematicians: a biographical avalanche triggered by Professor Ioan James, FRS. 693--707 Piedad Yuste Book Review: \booktitleTablettes Mathématiques de Nippur. By Christine Proust. Istanbul (Institut Francais d'Etudes Anatoliennes Georges Dumézil). Paris (De Boccard Ed). 2007. ISBN 978-2-906053-92-2. 356, xlix pp. No price given . . . . . . . . . . . . . . 708--710 Wolfgang Lef\`evre Book Review: \booktitleMechanisches Memorieren und Chiffrieren um 1430: Johannes Fontanas \booktitleTractatus de instrumentis artis memorie. Edited by H. Kranz and W. Oberschelp. Stuttgart (Franz Steiner Verlag). 2007. ISBN 978-3-515-09296-8. 167 pp. 38.00 EUR . . 710--712 Sébastien Maronne Book Review: \booktitleMathématiciens français du XVIIe si\`ecle. Descartes, Fermat, Pascal. Edited by Michel Serfati, and Dominique Descotes. Clermont-Ferrand (Presses Universitaires Blaise Pascal). 2008. ISBN 978-2-84516-354-6. 284 pp. 20 EUR . . . 712--714 I. Grattan-Guinness Book Review: \booktitleHermann Graßmann. Biography. By Hans-Joachim Petsche. Translated by Mark Minnes. Basel (Birkhäuser). 2009. ISBN 978-3-7643-8859-1. xx + 306 pp. No price stated . . . . . . . . . . . . . . . . . 714--716 Eugene Seneta Book Review: \booktitleMathematicians Fleeing from Nazi Germany. Individual Fates and Global Impact. By Reinhard Siegmund-Schultze. Princeton and Oxford (Princeton University Press). 2009. ISBN 978-0-691-14041-4. xxv + 471 pp. US\$49.50} . . . . . . . . . . . . . . . 716--722 Ulf Hashagen Erratum to ``Die Habilitation von John von Neumann an der Friedrich-Wilhelms-Universität in Berlin: Urteile über einen ungarisch-jüdischen Mathematiker in Deutschland im Jahr 1927'' [\booktitleHistoria Mathematica \bf 37 (2) (2010) 242--280] [MR2609069] 723--723 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 724--751 Anonymous Notes on contributors (2pp) . . . . . . 752--753 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Jia-Ming Ying The \booktitleKujang sulhae: Nam Py\vong-Gil's reinterpretation of the mathematical methods of the Book Review: \booktitleJiuzhang suanshu . . . . . . . 1--27 Yannis Thomaidis Some remarks on the meaning of equality in Diophantos's Arithmetica . . . . . . 28--41 Marco Panza Rethinking geometrical exactness . . . . 42--95 Aldo Brigaglia and Simonetta Di Sieno The Luigi Cremona Archive of the Mazzini Institute of Genoa . . . . . . . . . . . 96--110 Clemency Montelle `Having the Answers': Writing the History of Mathematics in India . . . . 111--122 James J. Tattersall Book Review: \booktitleThomas Harriot's Doctrine of Triangular Numbers: the `Magisteria Magna'. Edited by Janet Beery and Jacqueline Stedall. Zürich (European Mathematical Society). 2008. ISBN 978-3-03719-059-3. 144 pages. EUR 64.00 . . . . . . . . . . . . . . . . . 123--125 Hardy Grant Book Review: \booktitleDuel at Dawn: Heroes, Martyrs and the Rise of Modern Mathematics. By Amir Alexander. Cambridge, Mass. and London (Harvard University Press). 2010. ISBN 978-0-674-04661-0. 307 pp. US\$28.95} 125--131 Melanie Bayley Book Review: \booktitleFlatland by Edwin A. Abbott: an Edition with Notes and Commentary. By William F. Lindgren and Thomas F. Banchoff. New York (Cambridge University Press). 2010. ISBN 978-0-521-75994-6. ix + 294. \$14.00} 131--135 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 136--159 Anonymous Notes on contributors (2pp) . . . . . . 160--161 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Joseph F. Grcar How ordinary elimination became Gaussian elimination . . . . . . . . . . . . . . 163--218 Kirsti Andersen One of Berkeley's arguments on compensating errors in the calculus . . 219--231 Luigi Ingaliso Mario Pieri's address at the University of Catania . . . . . . . . . . . . . . . 232--247 Paula Findlen Calculations of faith: mathematics, philosophy, and sanctity in 18th-century Italy (new work on Maria Gaetana Agnesi) 248--291 Uffe Thomas Jankvist A century of mathematics education: ICMI's first hundred years . . . . . . . 292--302 Victor J. Katz Book Review: \booktitle``Dig Where You Stand'': Proceedings of a Conference on On-going Research in the History of Mathematics Education, Gardabaer, Iceland, June 20--24, 2009. Edited by Kristín Bjarnadóttir, Fulvia Furinghetti and Gert Schubring. Reykjavik (University of Iceland). 2009. ISBN 978-9979-793-99-1. vi + 254 pp. No price given . . . . . . . . . . . . . . . . . 303--308 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 309--333 Anonymous Notes on contributors (1pp) . . . . . . 334--334 Anonymous IFC: Editorial Board . . . . . . . . . . ??
John Steele John P. Britton (1939--2010) . . . . . . 335--337 Bo Göran Johansson Cube root extraction in medieval mathematics . . . . . . . . . . . . . . 338--367 Michael J. Barany God, King, and geometry: revisiting the introduction to Cauchy's \booktitleCours d'analyse . . . . . . . . . . . . . . . 368--388 Caroline Ehrhardt A quarrel between Joseph Liouville and Guillaume Libri at the French Academy of Sciences in the middle of the Nineteenth Century . . . . . . . . . . . . . . . . 389--414 Victor Pambuccian and Tudor Zamfirescu Paolo Pizzetti: the forgotten originator of triangle comparison geometry . . . . 415--422 Toke L. Knudsen Book Review: \booktitleGa\.nitasarakaumud\=\i: the Moonlight of the Essence of Mathematics by \dThakkura Pheru. Edited with Introduction, Translation, and Mathematical Commentary by SaKHYa. New Delhi (Manohar). 2009. ISBN 978-81-7304-809-8. viii + 278 pp. No price given . . . . . . . . . . . . . . 423--425 Giovanni Ferraro Book Review: \booktitleLa construction tractionnelle des équations différentielles. By D. Tourn\`es. Paris (Albert Blanchard). 2009. ISBN 978-2-85367-247-4. viii, 406 pp. No price given . . . . . . . . . . . . . . 425--428 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 429--452 Anonymous Notes on contributors (2pp) . . . . . . 453--453 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Leon Cooper Did Egyptian scribes have an algorithmic means for determining the circumference of a circle? . . . . . . . . . . . . . . 455--484 Detlef D. Spalt Welche Funktionsbegriffe gab Leonhard Euler?. (German) [Which function terms did Leonhard Euler give?] . . . . . . . 485--505 Alan Gluchoff Artillerymen and mathematicians: Forest Ray Moulton and changes in American exterior ballistics, 1885--1934 . . . . 506--547 Fabio Acerbi Completing Diophantus, \booktitleDe polygonis numeris, prop. 5 . . . . . . . 548--560 Ivo Schneider Book Review: \booktitleKosmos und Zahl --- Beiträge zur Mathematik- und Astronomiegeschichte, zu Alexander von Humboldt und Leibniz. Edited by Hartmut Hecht, Regina Mikosch, Ingo Schwarz, Harald Siebert, and Romy Werther. Boethius, vol. 58. Stuttgart (Steiner). 2008. ISBN 978-3-515-09176-3. 510 pp. 72 EUR . . . . . . . . . . . . . . . . . . 561--563 Jean Dhombres Book Review: \booktitleLe retour du réfoulé. Der Wiederaufstieg der synthetischen Methode an der École Polytechnique. By Gert Schubring. Augsburg (Dr Erwin Rauner Verlag). 2004. ISBN 3-936905-07-X. [10], 150 pp. No price given . . . . . . . . . . . . . . 563--564 Anonymous Abstracts . . . . . . . . . . . . . . . 565--589 Anonymous Notes on contributors (2pp) . . . . . . 590--590 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Nathan Sidoli and Ken Saito Comparative analysis in Greek geometry 1--33 Dominique Raynaud Abu al-Wafa' Latinus? A study of method 34--83 Rolf Nossum Emigration of mathematicians from outside German-speaking academia 1933--1963, supported by the Society for the Protection of Science and Learning 84--104 Jeremy Gray Book Review: \booktitleEléments d'une biographie de l'espace projectif. By Lise Bioesmat-Martagon. Collection Histoires de géométries. Nancy (Presses Universitaires de Nancy). 2010. ISBN 978-2-8143-0032-3. 315 pp. 25 EUR . . . 105--106 Massimo Galuzzi Book Review: \booktitleGerolamo Saccheri: Euclide vendicato da ogni neo. Edited by Vincenzo De Risi. 2 vols. Pisa (Edizioni della Normale). 2011. ISBN 978-88-7642-404-5. 148 + 252 pp. 40 EUR 107--108 Henry Zepeda Book Review: \booktitleDefending Hypatia: Ramus, Savile, and the Renaissance Rediscovery of Mathematical History. By Robert Goulding. Archimedes: New Studies in the History and Philosophy of Science and Technology vol. 25. Dordrecht, Heidelberg, London, New York (Springer). 2010. ISBN 978-90-481-3541-7. xx + 201 pp. . . . . 109--111 Volker R. Remmert Book Review: \booktitleGuglielmo Libri, matematico e storico della matematica. L'irresitibile ascesa dall'Ateneo pisano all'Institut de France. By Andrea Del Centina and Alessandra Fiocca. Florence (Olschki). 2010. ISBN 978-88-222-6003-1. xxii + 342 pp. + CD-ROM. 39 EUR . . . . 111--113 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 114--139 Anonymous Notes on contributors . . . . . . . . . 140--141 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Reinhard Siegmund-Schultze Hans Wußing (1927--2011) and the blooming of the history of mathematics and sciences in the German Democratic Republic --- a biographical essay . . . 143--173 Alex D. D. Craik A forgotten British analyst: Nicolas Vilant (1737--1807) . . . . . . . . . . 174--205 R. P. Burn Another theorem of Cauchy which `admits exceptions' . . . . . . . . . . . . . . 206--210 Peter M. Neumann The editors and editions of the writings of Évariste Galois . . . . . . . . . . . 211--221 Nathan Camillo Sidoli Book Review: \booktitleTenbin no Majutsushi: Arukimedesu no Sugaku (Sorcerer of the Scales: Archimedes' Mathematics). By Eiji Hayashi and Ken Saito. Tokyo (Kyoritsu Shuppan). 2009. ISBN 978-4-320-01910-2. x + 249 pp. + 8 color plates. \yen 3300 . . . . . . . . 222--224 Daniele Cozzoli Book Review: \booktitle``L'opere stupende dell'arti pi\`u ingegnose.'' La recezione degli Pneumatiká di Erone Alessandrino nella cultura italiana del Cinquecento. By Oreste Trabucco. Firenze (Olschki). 2010. ISBN 978-88-222-5990-5. 184 pp. 20 EUR . . . . . . . . . . . . . 224--226 Jiri Hudecek Book Review: \booktitleThe Chinese Roots of Linear Algebra. By Roger Hart. Baltimore, (Johns Hopkins University Press). 2011. ISBN 978-0-8018-9755-9. xiii + 286 pp. US\$65 (hardcover)} . . . 226--231 Patti W. Hunter Book Review: \booktitleHow to Read Historical Mathematics. By Benjamin Wardhaugh. Princeton and Oxford (Princeton University Press). 2010. ISBN 978-0-691-14014-8. 113 pp. US\$23.95} 232--233 Robert E. Bradley Book Review: \booktitleRoutes of Learning: Highways, Pathways and Byways in the History of Mathematics. By Ivor Grattan-Guinness. Baltimore (The Johns Hopkins University Press). 2009. xii + 372 pp. . . . . . . . . . . . . . . . . 234--236 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 237--262 Anonymous Notes on contributors (2pp) . . . . . . 263--264 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Jacqueline Stedall John Wallis and the French: his quarrels with Fermat, Pascal, Dulaurens, and Descartes . . . . . . . . . . . . . . . 265--279 Bruce J. Petrie Leonhard Euler's use and understanding of mathematical transcendence . . . . . 280--291 Judit Abardia and Agustí Reventós and Carlos J. Rodríguez What did Gauss read in the Appendix? . . 292--323 Karine Chemla The Mathematics of Egypt, Mesopotamia, China, India, and Islam. A sourcebook 324--334 Andrea Bréard Book Review: \booktitleLe calendrier chinois: structure et calculs (104 av. J.-C.-1644). Indétermination céleste et réforme permanente. La construction chinoise officielle du temps quotidien discret \`a partir d'un temps mathématique caché, linéaire et continu. By Jean-Claude Martzloff. Paris (Honoré Champion). 2009. ISBN 978-2-7453-1911-1. 453 pp. 50 EUR . . . . . . . . . . . . . 335--338 Thomas Drucker Book Review: \booktitleThe Logic Pamphlets of Charles Lutwidge Dodgson and Related Pieces. Edited by Francine F. Abeles. New York (Lewis Carroll Society of North America). 2010. ISBN 978-0-930326-25-8. xx + 271 pp. . . . . 338--341 Joseph W. Dauben Book Review: \booktitleNaming Infinity. A True Story of Religious Mysticism and Mathematical Creativity. By Loren Graham and Jean-Michel Kantor. Cambridge (The Belknap Press of Harvard University Press). 2009. . . . . . . . . . . . . . 341--346 Gert Schubring Book Review: \booktitleMathematicians at War. Volterra and his French colleagues in World War I. By Laurent Mazliak and Rossana Tazzioli. Dordrecht, Heidelberg, London, New York (Springer). 2009. ISBN 978-90-481-2739-9. ix + 194 p. 106,95 EUR . . . . . . . . . . . . . . . . . . 347--350 Eva Kaufholz-Soldat Book Review: \booktitle``Morgen möchte ich wieder 100 herrliche Sachen ausrechnen.'' Iris Runge bei Osram und Telefunken. By Renate Tobies. Boethius, vol. 61. Stuttgart (Steiner). 2010. ISBN 978-3-515-09638-6. 412 pp. 72 EUR . . . 351--353 Alberto Cogliati Book Review: \booktitleThe Noether Theorems. Invariance and Conservation Laws in the Twentieth Century. By Yvette Kosmann-Schwarzbach. Translated by Bertram E. Schwarzbach. Dordrecht, Heidelberg, London, New York (Springer). 2011. ISBN 978-0-387-87868-3. xiii + 205 p. 8 illus.; 83,15 EUR . . . . . . . . . 353--356 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 357--384 Anonymous Notes on contributors (2pp) . . . . . . 385--386 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Satyanad Kichenassamy Brahmagupta's propositions on the perpendiculars of cyclic quadrilaterals 387--404 Viktor Blåsjö The rectification of quadratures as a central foundational problem for the early Leibnizian calculus . . . . . . . 405--431 Alp Eden and Gürol Irzik German mathematicians in exile in Turkey: Richard von Mises, William Prager, Hilda Geiringer, and their impact on Turkish mathematics . . . . . 432--459 Jeffrey A. Oaks Book Review: \booktitleL'Eredit arabo-islamica nelle scienze e nelle arti del calcolodell'Europa medievale (The Arabic-Islamic heritage in the sciences and arts of calculation in Medieval Europe). By Nadia Ambrosetti. Milano (Edizioni Universitarie di Lettere Economia Diritto). 2008. ISBN 978-88-7916-388-0. 407 pp. 37 EUR . . . 460--462 Menso Folkerts Book Review: \booktitleMathématiques et connaissance du monde réel avant Galilée. Edited by Sabine Rommeveaux. Montreuil (Omnisciene). 2010. ISBN 978-2-916097-26-8. 350 pp. 45. EUR . . . 463--465 David Bellhouse Book Review: \booktitleA History of the Central Limit Theorem: From Classical to Modern Probability Theory. By Hans Fischer. Dordrecht, Heidelberg, London, New York (Springer). 2010. ISBN 978-0-387-87856-0. 418 pp. . . . . . . . 465--467 Hans Niels Jahnke Book Review: \booktitleCauchy's Cours d'analyse. An Annotated Translation. By Robert E. Bradley, and C. Edward Sandifer. Sources and Studies in the History of Mathematics and Physical Sciences. Dordrecht (Springer). 2009 . . 467--469 Alan Gluchoff Book Review: \booktitleThe History and Development of Nomography. By H. A. Evesham. (Docent Press). 2011 (original copyright 1982). 267 pp., paperback . . 469--475 Colin McLarty Book Review: \booktitleFrom a Geometrical Point of View: a Study of the History and Philosophy of Category Theory. By Jean-Pierre Marquis. Logic, Epistemology, and the Unity of Science. (Springer). 2010. ISBN 978-90-481-8117-9. 320 pp. \$199} . . . 475--479 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 480--503 Anonymous Notes on contributors (2pp) . . . . . . 504--505 Anonymous IFC: Editorial Board . . . . . . . . . . ??
Tom Archibald and Niccol\`o Guicciardini Editorial . . . . . . . . . . . . . . . 1--2 Tina Su-lyn Lim and Donald B. Wagner The Grand Astrologer's platform and ramp: Four problems in solid geometry from Wang Xiaotong's `Continuation of ancient mathematics' (7th Century AD) 3--35 Laura E. Turner The Mittag-Leffler Theorem: the origin, evolution, and reception of a mathematical result, 1876--1884 . . . . 36--83 Ivo Schneider Book Review: \booktitleThe Archimedes Palimpsest. Edited in two volumes by Reviel Netz, William Noel, Natalia Tchernetska, and Nigel Wilson. Volume 1: Catalogue and Commentary; volume 2: Images and Transcriptions. Cambridge (Cambridge University Press). 2011. ISBN 978-1-107-01684-2, Price: \pounds150 (\$215)} . . . . . . . . . . . . . . . . 84--89 Sandro Caparrini Book Review: \booktitleLa via delle acque (1550--1700): Appropriazione delle arti e trasformazione delle matematiche, Cesare S. Maffioli. Olschki, Firenze (2010), ISBN: 978-88-222-6008-6 . . . . 89--91 Nathan Sidoli Book Review: \booktitleA Survey of the Almagest. Springer, New York (2010), ISBN: 978-0-387-84825-9 . . . . . . . . 92--93 Catherine Goldstein Book Review: \booktitle\'Etienne Bézout (1730--1783) Mathématicien des Lumi\`eres, Liliane Alfonsi. L'Harmattan, Paris (2011), ISBN: 978-2-296-56553-1 . . . . . . . . . . . 93--96 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 97--124 Anonymous Notes on contributors . . . . . . . . . 125--125 Anonymous Editorial Board . . . . . . . . . . . . ??
Jean Christianidis and Jeffrey Oaks Practicing algebra in late antiquity: the problem-solving of Diophantus of Alexandria . . . . . . . . . . . . . . . 127--163 Sabine Rommevaux A treatise on proportion in the tradition of Thomas Bradwardine: the \booktitleDe proportionibus libri duo (1528) of Jean Fernel . . . . . . . . . 164--182 Dirk Schlimm The correspondence between Moritz Pasch and Felix Klein . . . . . . . . . . . . 183--202 Hardy Grant Book Review: \booktitleHidden Harmonies: the Lives and Times of the Pythagorean Theorem, Robert Kaplan, Ellen Kaplan. Bloomsbury Press, New York, Berlin, London, and Sydney (2011), ISBN: 978-1-59691-522-0 . . . . . . . . . . . 203--205 Gert Schubring Book Review: \booktitleScienza, Geometria, Geometrie. Un percorso storico-didattico [Science, Geometry, Geometries. A historical-educational itinerary], Luigi Maierú. Rubbettino Editore, Soveria Mannelli (2008), ISBN: 978-88-498-2156-7 . . . . . . . . . . . 205--206 Sébastien Gauthier Book Review: \booktitleRegards sur les mathématiques en France entre les deux guerres. Revue d'histoire des sciences \bf 62 (1). Paris (Armand Colin). January-June 2009. ISBN 978-2-200-92598-7. 342 pp. 45 EUR . . . 206--209 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 210--231 Anonymous Notes on contributors . . . . . . . . . 232--233 Anonymous Editorial Board . . . . . . . . . . . . ??
S. Mohammad Mozaffari Wabkanawi's prediction and calculations of the annular solar eclipse of 30 January 1283 . . . . . . . . . . . . . . 235--261 Michela Malpangotto L'univers auquel s'est confronté Copernic: La sph\`ere de Mercure dans les \booktitleTheoricae novae planetarum de Georg Peurbach . . . . . . . . . . . 262--308 Franka Miriam Brueckler and Vladimir Stilinovi\'c Teaching arithmetic in the Habsburg Empire at the end of the 18th Century --- a textbook example . . . . . . . . . 309--323 James Evans Book Review: \booktitleThe Mathematics of the Heavens and the Earth: the Early History of Trigonometry, Glen Van Brummelen. Princeton University Press, Princeton and Oxford (2009), ISBN: 978-0-691-12973-0 . . . . . . . . . . . 324--325 Sylvia Nickerson Book Review: \booktitleTurbulent Times in Mathematics. The Life of J. C. Fields and the History of the Fields Medal, Elaine McKinnon Riehm, Frances Hoffman. American Mathematical Society and The Fields Institute, Providence, Rhode Island and Toronto, Ontario (2011), ISBN: 978-0-8218-6914-7 . . . . . . . . 325--329 Ivor Grattan-Guinness Book Review: \booktitleWolfgang Sartorius von Waltershausen, Gaußzum Gedächtniss: Biographie Carl Friedrich Gauß, Leipzig 1856. Mit dem von Karin Reich verfassten Essay ``\booktitleWolfgang Sartorius von Waltershausen (1809--1876)'', Karin Reich (Ed.). Edition Am Gutenbergplatz, Leipzig (2012), ISBN: 978-3-937219-57-8 329--330 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 331--350 Anonymous Notes on contributors . . . . . . . . . 351--352 Anonymous Editorial Board . . . . . . . . . . . . ??
Craig Fraser Awarding of the May Prizes for 2013 . . 353--356 Elena Ausejo Montucla Prize 2013 . . . . . . . . . . 357--358 Valérie Debuiche Perspective in Leibniz's invention of Characteristica Geometrica : the problem of Desargues' influence . . . . . . . . 359--385 Alex D. D. Craik Polylogarithms, functional equations and more: the elusive essays of William Spence (1777--1815) . . . . . . . . . . 386--422 Lukas Verburgt Robert Leslie Ellis's work on philosophy of science and the foundations of probability theory . . . . . . . . . . . 423--454 Kathryn James Book Review: \booktitleRobert Recorde: the Life and Times of a Tudor Mathematician, Gareth Roberts, Fenny Smith (Eds.). University of Wales Press, distributed by University of Chicago Press, Swansea (2012), ISBN: 978-0-7083-2526-1 . . . . . . . . . . . 455--457 Eva Kaufholz-Soldat Book Review: \booktitleRemembering Sofya Kovalevskaya, Mich\`ele Audin. Springer, London (2011), ISBN: 978-0-85729-928-4 458--460 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 461--480 Anonymous Notes on contributors . . . . . . . . . 481--482
Tom Archibald and Niccol\`o Guicciardini Editorial . . . . . . . . . . . . . . . 1--2 Victor J. Katz Marcia Ascher (23 April 1935--11 June 2013) . . . . . . . . . . . . . . . . . 3--5 Philip Beeley Christoph J. Scriba (6 October 1929--26 July 2013) . . . . . . . . . . . . . . . 6--12 Nathan Sidoli Mathematical tables in Ptolemy's \booktitleAlmagest . . . . . . . . . . . 13--37 Mónica Blanco Thomas Simpson: Weaving fluxions in 18th-century London . . . . . . . . . . 38--81 I. Grattan-Guinness From anomaly to fundament: Louis Poinsot's theories of the couple in mechanics . . . . . . . . . . . . . . . 82--102 Christian Marinus Taisbak Cube roots of integers. A conjecture about Heron's method in \booktitleMetrika III. 20 . . . . . . . 103--106 Arianna Borrelli Book Review: \booktitleLe destin douloureux de Walther Ritz (1878--1909), physicien théoricien de génie, Jean-Claude Pont (Ed.). Vallesia, Archive de l'État du Valais, Sion (2012), ISBN 978-2-9700636-5-0 . . . . . . . . . . . 107--110 Sébastien Maronne Book Review: \booktitleLe sezione coniche nel Seicento, Luigi Maier\`u. Rubbettino Editore, Soveria Mannelli (2009), ISBN 978-88-498-2461-2 . . . . . 110--112 Ralf Krömer Book Review: \booktitleJacques Feldbau, Topologe. Das Schicksal eines jüdischen Mathematikers (1914--1945), Mich\`ele Audin, in: Mathematik im Kontext. Springer, Berlin, Heidelberg (2012), ISBN 978-3-642-25803-9 . . . . . . . . . 112--115 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 116--136 Anonymous Notes on contributors . . . . . . . . . 137--138
Rosanna Cretney The origins of Euler's early work on continued fractions . . . . . . . . . . 139--156 Henrik Kragh Sòrensen Confluences of agendas: Emigrant mathematicians in transit in Denmark, 1933--1945 . . . . . . . . . . . . . . . 157--187 Lydia Patton Hilbert's objectivity . . . . . . . . . 188--203 David Aubin Book Review: ``\booktitlePrinciples of Mechanics that are Susceptible of Application to Society'': an unpublished notebook of Adolphe Quetelet at the root of his social physics . . . . . . . . . 204--223 Daniel S. Alexander Book Review: \booktitleFatou, Julia, Montel: the Great Prize of Mathematical Sciences of 1918, and beyond, vol. 2014, Mich\`elexunbr Audin, in: Lecture Notes in Mathematics, History of Mathematics Subseries. Springer-Verlag, Heidelberg (2011), ISBN 978-3-642-17853-5 . . . . . 224--232 Menso Folkerts Book Review: \booktitleArchimede Latino. Iacopo da San Cassiano e il corpus Archimedeo alla met\`a del quattrocento. Con edizione della Circuli dimensio $e$ della Quadratura parabolae, Paolo d'Alessandro, Pier Daniele Napolitani (Eds.), in: Sciences et savoirs. Les Belles Lettres, Paris (2012), ISBN 978-2-251-22001-7 . . . . . . . . . . . 233--235 Alexander Herbst Book Review: \booktitleGottfried Wilhelm Leibniz: Die mathematischen Zeitschriftenartikel. Edited and translated by Heinz-Jürgen Heß and Malte-Ludolf Babin. Hildesheim (Georg Olms Verlag). 2011. ISBN 978-3-487-14534-1. 547 pp. 1 CD. 74 EUR. 235--237 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 238--257 Anonymous Notes on contributors . . . . . . . . . 258--259
Jacqueline Feke Meta-mathematical rhetoric: Hero and Ptolemy against the philosophers . . . . 261--276 Martin Mattmüller The difficult birth of stochastics: Jacob Bernoulli's \booktitleArs Conjectandi (1713) . . . . . . . . . . . 277--290 Alberto Cogliati Early history of infinite continuous groups, 1883--1898 . . . . . . . . . . . 291--332 Hél\`ene Gispert Book Review: \booktitleCharles-Ange Laisant. Itinéraires et engagements d'un mathématicien de la Troisi\`eme République, Jérôme Auvinet. Hermann, Paris (2013), ISBN: 978-2-7056-8697-0 . . . . 333--337 Tilman Sauer Book Review: \booktitleArnold Sommerfeld. Atomphysiker und Kulturbote 1868-1951. Eine Biografie, vol. 29, Michael Eckert, in: \booktitleDeutsches Museum. Abhandlungen und Berichte Neue Folge. Wallstein-Verlag, Göttingen (2013), ISBN: 978-3-8353-1206-7 . . . . 338--341 Karine Chemla Translated into German by Klaus Volkert as \booktitleCantor und die Franzosen. Mathematik, Philosophie und das Unendliche Mathematik im Kontext. Berlin (Springer). 2011. ISBN 978-3-642-14868-2. 230 pp. 35 EUR. . . . 342--344 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 345--364 Anonymous Notes on contributors . . . . . . . . . 365--366 Anonymous Editorial Board . . . . . . . . . . . . IFC
Karine Chemla Explorations in the history of mathematical recreations: an introduction . . . . . . . . . . . . . . 367--376 Mitsuko Wate-Mizuno Mathematical recreations of Dénes K\Honig and his work on graph theory . . . . . . 377--399 Albrecht Heeffer How algebra spoiled recreational problems: a case study in the cross-cultural dissemination of mathematics . . . . . . . . . . . . . . 400--437 Eric Vandendriessche W. W. Rouse Ball and the mathematics of string figures . . . . . . . . . . . . . 438--462 Maarten Van Dyck and Koen Vermeir Varieties of wonder: John Wilkins' mathematical magic and the perpetuity of invention . . . . . . . . . . . . . . . 463--489 Bruno Belhoste and Denise Hazebrouck Récréations et mathématiques mondaines au XVIII$^e$ si\`ecle: le cas de Guyot . . 490--505 Anne-Marie Décaillot Les Récréations Mathématiques d'Édouard Lucas: quelques éclairages . . . . . . . 506--517 Anonymous Notes on contributors . . . . . . . . . 518--519 Anonymous Editorial Board . . . . . . . . . . . . IFC
Jan P. Hogendijk Yvonne Dold-Samplonius (20 May 1937--16 June 2014) . . . . . . . . . . . . . . . 1--4 Peter M. Neumann Jacqueline Anne Stedall (4 August 1950--27 September 2014) . . . . . . . . 5--13 Luís Manuel Ribeiro Saraiva Étienne Bézout in Portugal: the reform of the Portuguese University and beyond (1772--1838) . . . . . . . . . . . . . . 14--46 Olivier Darrigol The mystery of Riemann's curvature . . . 47--83 Vanja Hug and Thomas Steiner Une lettre d'Euler \`a d'Alembert retrouvée . . . . . . . . . . . . . . . . 84--94 Jeanne Peiffer Book Review: \booktitleDas mathematische und naturphilosophische Lernen und Arbeiten der Marquise du Châtelet (1706-1749). Wissenszugänge einer Frau im 18. Jahrhundert, Frauke Böttcher, in: \booktitleMathematik im Kontext. Springer Spektrum, Berlin, Heidelberg (2013), ISBN: 978-3-642-32486-4 . . . . 95--98 David E. Rowe Book Review: \booktitleUniformisation des surfaces de Riemann. Retour sur un théor\`eme centenaire, Henri Paul de Saint-Gervais. ENS Éditions, Lyon (2010), ISBN: 978-2-84788-233-9 . . . . . . . . 98--102 Christian Gilain Book Review: \booktitleCorrespondance de Pierre Simon Laplace (1749--1827), Roger Hahn (Ed.). Brepols, Turnhout (2013), ISBN: 978-2-503-54129-7 . . . . . . . . 102--105 Della Dumbaugh Book Review: \booktitleEmil Artin's Iceland Journal 1925, Tom Artin (Ed.). Free Scholar Press (2013), ISBN: 978-1-4825-5168-6 . . . . . . . . . . . 105--107 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 108--128 Anonymous Notes on contributors . . . . . . . . . 129--130 Anonymous Editorial Board . . . . . . . . . . . . IFC
Thomas Archibald and Niccol\`o Guicciardini Editorial . . . . . . . . . . . . . . . 131--131 Gregg De Young Two hitherto unknown Arabic Euclid manuscripts . . . . . . . . . . . . . . 132--154 Jemma Lorenat Figures real, imagined, and missing in Poncelet, Plücker, and Gergonne . . . . . 155--192 Christopher Hollings The acceptance of abstract algebra in the USSR, as viewed through periodic surveys of the progress of Soviet mathematical science . . . . . . . . . . 193--222 I. Grattan-Guinness Working on Coriolis . . . . . . . . . . 223--229 Jesper Lützen Book Review: \booktitleAventures de l'analyse de Fermat \`a Borel. Mélanges en l'honneur de Christian Gilain, Susanne Féry (Ed.), in: Histoires de géométries. Presses Universitaires de Nancy, Editions Universitaires de Lorraine, Nancy (2012), ISBN: 978-2-8143-0125-2 . . . . . . . . . . . 230--233 Ralf Krömer Book Review: \booktitleJustifier en mathématiques, Dominique Flament, Philippe Nabonnand (Eds.). Éditions de la Maison des sciences de l'homme, Paris (2011), ISBN: 978-2-7351-1414-6 . . . . 233--237 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 238--259 Anonymous Notes on contributors . . . . . . . . . 260--261 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Roy Wagner Citrabhanu's Twenty-One Algebraic Problems in Malayalam and Sanskrit . . . 263--279 David R. Bellhouse An analysis of errors in mathematical tables . . . . . . . . . . . . . . . . . 280--295 Clara Silvia Roero M. G. Agnesi, R. Rampinelli and the Riccati family: a cultural fellowship formed for an important scientific purpose, the Instituzioni analitiche . . 296--314 François Lê ``Geometrical equations'': Forgotten premises of Felix Klein's Erlanger Programm . . . . . . . . . . . . . . . . 315--342 Benjamin Wardhaugh A `lost' chapter in the calculation of $ \pi $: Baron Zach and MS Bodleian 949 343--351 Menso Folkerts Book Review: The \booktitleLiber mahameleth. A 12th-century mathematical treatise. 3 vols., Jacques Sesiano (Ed.), in: Sources and Studies in the History of Mathematics and Physical Sciences. Springer, Cham, Heidelberg, New York, Dordrecht, London (2014), ISBN: 978-3-319-03939-8 . . . . . . . . 352--354 Rossana Tazzioli Book Review: \booktitleSiméon-Denis Poisson. Les mathématiques au service de la science, Yvette Kosmann-Schwarzbach (Ed.). École polytechnique-Palaiseau, Paris (2013), ISBN: 978-2-7302-1584-8 354--357 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 358--381 Anonymous Notes on contributors . . . . . . . . . 382--383 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Joseph W. Dauben and Niccol\`o Guicciardini and Albert C. Lewis and Karen Hunger Parshall and Adrian C. Rice Ivor Grattan-Guinness (June 23, 1941--December 12, 2014) . . . . . . . . 385--406 Satyanad Kichenassamy Continued proportions and Tartaglia's solution of cubic equations . . . . . . 407--435 Caroline Ehrhardt Tactics: In search of a long-term mathematical project (1844--1896) . . . 436--467 Lukas M. Verburgt The objective and the subjective in mid-nineteenth-century British probability theory . . . . . . . . . . . 468--487 Ulrich Reich Book Review: \booktitleRécréations mathématiques au moyen âge, Jacques Sesiano. Presses Polytechniques et Universitaires Romandes, Lausanne (2014), ISBN: 978-2-88074-498-4 . . . . 488--491 Alberto Cogliati Book Review: \booktitleLes Groupes de Lie dans l'oeuvre de Hermann Weyl. Traduction et commentaire de l'article: Théorie de la répresentation des groupes continus semi-simples par des transformations linéaires (1925--1926), with the collaboration of Amaury Thuillier, Christophe Eckes (Ed.). Presses Universitaires de Nancy, Nancy (2013), ISBN: 978-2-8143-0180-1 . . . . 491--494 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 495--515 Anonymous Notes on contributors . . . . . . . . . 516--517 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Tom Archibald and Reinhard Siegmund-Schultze Editorial . . . . . . . . . . . . . . . 1--2 Yiwen Zhu Different cultures of computation in seventh century China from the viewpoint of square root extraction . . . . . . . 3--25 Bernard Ycart Jakob Bielfeld (1717--1770) and the diffusion of statistical concepts in eighteenth century Europe . . . . . . . 26--48 Jonathan H. P. Dawes After 1952: the later development of Alan Turing's ideas on the mathematics of pattern formation . . . . . . . . . . 49--64 Miriam Franchella In the footsteps of Julius König's paradox . . . . . . . . . . . . . . . . 65--86 Rosanna Cretney Editing and reading early modern mathematical texts in the digital age 87--97 Laurent Mazliak Book Review: \booktitlePrincipes et Formules du Calcul des Probabilités pour assigner les limites des variations des événements naturels, Emmanuel-Etienne Duvillard de Durand. Editions de l'INED, Paris (2010) . . . . . . . . . . . . . . 98--100 Emmylou Haffner Book Review: \booktitleDer Briefwechsel Richard Dedekind--Heinrich Weber, vol. 5, Katrin Scheel, in: Abhandlungen der Akademie der Wissenschaften in Hamburg. De Gruyter, Oldenbourg (2014) . . . . . 101--103 Amy Ackerberg-Hastings Book Review: \booktitlePerfect Mechanics: Instrument Makers at the Royal Society of London in the Eighteenth Century, Richard Sorrenson. Docent Press, Boston, Massachusetts (2013), ISBN: 0-9887449-2-9 . . . . . . 104--105 John W. Dawson, Jr. Book Review: \booktitleDavid Hilbert's Lectures on the Foundations of Arithmetic and Logic, 1917--1933, William Ewald, Wilfried Sieg (Eds.). Springer (2013) . . . . . . . . . . . . 105--107 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 108--126 Anonymous Notes on contributors . . . . . . . . . 127--128 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ubiratan D'Ambrosio Paulus Gerdes (1952--2014) . . . . . . . 129--132 Menso Folkerts and Dieter Launert and Andreas Thom Jost Bürgi's method for calculating sines 133--147 Sloan Evans Despeaux and Adrian C. Rice Augustus De Morgan's anonymous reviews for \booktitleThe Athenæum: a mirror of a Victorian mathematician . . . . . . . . 148--171 Roberto Scoth Higher education, dissemination and spread of the mathematical sciences in Sardinia (1720--1848) . . . . . . . . . 172--193 Norbert Schappacher and Cordula Tollmien Emmy Noether, Hermann Weyl, and the Göttingen Academy: a marginal note . . . 194--197 Klaus Thomas Volkert Book Review: \booktitleLa théorie des lignes parall\`eles de Johann Heinrich Lambert, A. Papadoupoulos, G. Théret. Blanchard, Paris (2004) . . . . . . . . 198--206 Dagmar Mrozik Book Review: \booktitlePearls from a Lost City: the Lvov School of Mathematics, vol. 40, Roman Duda, in: History of Mathematics. American Mathematical Society (2014), ISBN: 978-1-4704-1076-6 . . . . . . . . . . . 207--209 Martina R. Schneider Book Review: \booktitleMathematik bei den Juden. Band II: 1551-1840. Georg Olms, Hildesheim, Zürich, New York (2014), ISBN: 978-3-487-13585-4 . . . . 209--213 Maarten Bullynck Book Review: \booktitleNewton and the Origin of Civilization, Jed Z. Buchwald, Mordechai Feingold. Princeton University Press, Princeton, New Jersey (2013), ISBN: 978-0-691-15478-7 . . . . . . . . 213--215 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 216--238 Anonymous Notes on contributors . . . . . . . . . 239--240 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ivahn Smadja On two conjectures that shaped the historiography of indeterminate analysis: Strachey and Chasles on Sanskrit sources . . . . . . . . . . . . 241--287 Pedro Roitman and Hervé Le Ferrand The strange case of Paul Appell's last memoir on Monge's problem: ``Sur les déblais et remblais'' . . . . . . . . . . 288--309 Leo Corry Some distributivity-like results in the medieval arithmetic of Jordanus Nemorarius and Campanus de Novara . . . 310--331 Maarten Bullynck Histories of algorithms: Past, present and future . . . . . . . . . . . . . . . 332--341 Steffen Ducheyne Book Review: \booktitleThe Newton Papers. The Strange and True Odyssey of Isaac Newton's Manuscripts, Sarah Dry. Oxford University Press, New York (2014), ISBN: 978-0-19-995104-8 . . . . 342--345 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 346--367 Anonymous Notes on contributors . . . . . . . . . 368 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Lukas M. Verburgt and Olga Hoppe-Kondrikova On A. Ya. Khinchin's paper `Ideas of intuitionism and the struggle for a subject matter in contemporary mathematics' (1926): a translation with introduction and commentary . . . . . . 369--398 Alessio Brioschi and Riccardo Rosso Eugenio Beltrami's courses on the analytic and mechanical theory of heat. I. Analytic theory of heat . . . . . . . 399--414 June Barrow-Green and Reinhard Siegmund-Schultze ``The first man on the street'' --- tracing a famous Hilbert quote (1900) back to Gergonne (1825) . . . . . . . . 415--426 Alberto Cogliati Schouten, Levi-Civita and the notion of parallelism in Riemannian geometry . . . 427--443 Derrick Mosley Book Review: \booktitleThe Correspondence of John Wallis, Volumes III and IV, Phillip Beeley, Christoph Scriba (Eds.). Oxford University Press (2012) (2014), ISBN: 978-0-19-856947-3 444--446 Jemma Lorenat Book Review: \booktitleSciences Mathématiques 1750--1850: continuités et ruptures, Christian Gilain, Alexandre Guilbaud (Eds.). CNRS Éditions, Paris (2015), ISBN: 0-8018-7434-3 . . . . . . 446--449 Elena Ausejo Book Review: \booktitleInfinitos, paradojas y principios. Escritos históricos en torno a los fundamentos de las matemáticas, Alejandro R. Garciadiego. Plaza $y$ Valdés Editores, Madrid, México DF (2014), ISBN: 978-84-15271-88-8 . . . . . . . . . . . 449--451 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 452--476 Anonymous Notes on contributors . . . . . . . . . 477--478 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Alessandra Fiocca The \booktitleBullettino di Bibliografia e di Storia delle Scienze Matematiche e Fisiche (1868--1887), an example of the internationalisation of research . . . . 1--30 Emmylou Haffner Strategical use(s) of arithmetic in Richard Dedekind and Heinrich Weber's \booktitleTheorie der algebraischen Funktionen einer Veränderlichen . . . . . 31--69 Tinne Hoff Kjeldsen Book Review: \booktitleTaming the Unknown: a History of Algebra from Antiquity to the Early Twentieth Century, Victor J. Katz, Karen Hunger Parshall. Princeton University Press, Princeton/Oxford (2014) . . . . . . . . 70--71 Craig Fraser Book Review: \booktitleHeavenly Mathematics: the Forgotten Art of Spherical Trigonometry, Glen Van Brummelen. Princeton University Press (2013) . . . . . . . . . . . . . . . . . 71--73 Davide Crippa Book Review: \booktitleMathematische Schriften, Reihe 7, sechster Band, 1673-1676, Arithmetische Kreisquadratur, Gottfried Wilhelm Leibniz. Akademie-Verlag, Berlin (2012) . . . . . 73--76 T. Archibald Book Review: \booktitleLa patria ci vuole eroi: matematici e vita politica nell'Italia del Resorgimento, Umberto Bottazzini, Pietro Nastasi. Zanichelli, Bologna (2013) . . . . . . . . . . . . . 76--79 Martina R. Schneider Book Review: \booktitleEmmy Noether, die Noether-Schule und die moderne Algebra. Zur Geschichte einer kulturellen Bewegung, Mechthild Koreuber, in: Mathematik im Kontext. Springer Spektrum, Berlin, Heidelberg (2015), ISBN: 978-3-662-44149-7 . . . . . . . . 79--82 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 83--101 Anonymous Notes on contributors . . . . . . . . . 102--103 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Zhihui Chen Scholars' recreation of two traditions of mathematical commentaries in late eighteenth-century China . . . . . . . . 105--133 Viktor Blåsjö On what has been called Leibniz's rigorous foundation of infinitesimal geometry by means of Riemannian sums . . 134--149 Tony Crilly and Steven H. Weintraub and Paul R. Wolfson Arthur Cayley, Robert Harley and the quintic equation: newly discovered letters 1859--1863 . . . . . . . . . . . 150--169 Jeanne Peiffer Book Review: \booktitlePrincipes mathématiques de la philosophie naturelle. La traduction française des Philosophiae naturalis principia mathematica. Centre international d'étude du XVIII $^e$ si\`ecle, Ferney-Voltaire (2015), ISBN: 978-2-84559-115-8 . . . . 170--172 Andreas Kleinert Book Review: \booktitleJean le Rond D'Alembert : OEuvres compl\`etes. Série $V$ : Correspondance générale. Vol. 2 : Correspondance générale 1741--1752, Ir\`ene Passeron (Ed.). CNRS Éditions, Paris (2015), ISBN: 978-2-271-08749-2 172--174 Marc Moyon Book Review: \booktitleFrom Alexandria, Through Baghdad. Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren, Nathan Sidoli, Glen Van Brummelen (Eds.). Springer (2014) . . . 174--178 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 179--197 Anonymous Notes on contributors . . . . . . . . . 198--199 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Nathan Camillo Sidoli and Reinhard Siegmund-Schultze Editorial Note . . . . . . . . . . . . . 201--201 Christopher Hollings and Ursula Martin and Adrian Rice The Lovelace--De Morgan mathematical correspondence: a critical re-appraisal 202--231 Cinzia Cerroni From the theory of ``congeneric surd equations'' to ``Segr\`e's bicomplex numbers'' . . . . . . . . . . . . . . . 232--251 Nicola M. R. Oswald An unpublished paper `Über einige durch unendliche Reihen definirte Functionen eines complexen Argumentes' by Adolf Hurwitz . . . . . . . . . . . . . . . . 252--279 Eberhard Knobloch Letter to the editors of the journal \booktitleHistoria Mathematica . . . . . 280--282 Clemency Montelle Book Review: \booktitleThe Siddhantasundara of Jñanaraja: an English Translation with Commentary, Toke Lindegaard Knudsen. Johns Hopkins University Press, Baltimore (2014) . . . 283--285 Ralf Krömer Book Review: \booktitleGéométrie et Topologie différentielles (1918--1932). Renaud Chorlay. Paris (Hermann) (2015), ISBN: 978-2-7056-8106-7 . . . . . . . . 285--287 Reinhard Siegmund-Schultze Book Review: \booktitleRecollections of a Jewish Mathematician in Germany, by Abraham A. Fraenkel. Edited by Jiska Cohen-Mansfield, translated by Allison Brown. Springer/Birkhäuser, Basel (2016), ISBN: 978-3-319-30845-6 . . . . . . . . 288--292 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 293--312 Anonymous Notes on contributors . . . . . . . . . 313--314 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Craig Fraser Awarding of the May Prizes for 2017 . . 315--317 Henrik Kragh Sòrensen Montucla Prize 2017 . . . . . . . . . . 318--319 Riccardo Rosso Eugenio Beltrami's courses on the analytic and mechanical theory of heat, II. Mechanical theory of heat . . . . . 320--341 Tony Royle The impact of the women of the Technical Section of the Admiralty Air Department on the structural integrity of aircraft during World War One . . . . . . . . . . 342--366 Michael J. Barany and Anne-Sandrine Paumier and Jesper Lützen From Nancy to Copenhagen to the World: The internationalization of Laurent Schwartz and his theory of distributions 367--394 Daniel F. Mansfield and N. J. Wildberger Plimpton 322 is Babylonian exact sexagesimal trigonometry . . . . . . . . 395--419 Viktor Blåsjö Reply to Knobloch . . . . . . . . . . . 420--422 Robert E. Bradley Book Review: \booktitleA Brief History of Numbers, Leo Corry. Oxford University Press (2015), 309 + xiii pages . . . . . 423--424 Scott A. Walter Book Review: \booktitleHenri Poincaré: A Scientific Biography, Jeremy Gray. Princeton University Press, Princeton (2013), 608 pp., \$39.95} . . . . . . . 425--435 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 436--456 Anonymous Notes on contributors . . . . . . . . . 457--458
Angela Axworthy The debate between Peletier and Clavius on superposition . . . . . . . . . . . . 1--38 A. Cogliati and P. Mastrolia Cartan, Schouten and the search for connection . . . . . . . . . . . . . . . 39--74 Dietrich Stoyan and Thomas Morel Julius Weisbach's pioneering contribution to orthogonal linear regression (1840) . . . . . . . . . . . 75--84 Della Dumbaugh Book Review: \booktitleA History in Sum: 150 Years of Mathematics at Harvard, 1825--1875, Steve Nadis, Shing-Tung Yang (Eds.). Harvard University Press, Cambridge (2013), 249 pp. . . . . . . . 85--90 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 91--108 Anonymous Notes on contributors . . . . . . . . . 109--109 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ofer Elior The Arabic tradition of Euclid's \booktitleElements preserved in the Latin translation by Adelard of Bath and the Hebrew translation by Rabbi Jacob 111--130 Andrea Del Centina and Alessandra Fiocca Boscovich's geometrical principle of continuity, and the ``mysteries of the infinity'' . . . . . . . . . . . . . . . 131--175 Boris Katz and Mikhail G. Katz and Sam Sanders A footnote to \booktitleThe crisis in contemporary mathematics . . . . . . . . 176--181 Samuel Gessner Book Review: \booktitleObras Matemáticas, Francisco de Melo, Vol. 1: Edição crítica e tradução, Bernardo Mota, Henrique Leitão. Centro de Estudos Clássicos, Biblioteca Nacional de Portugal, Lisboa (2014), 505 pages, 25 EUR., ISBN: 978-972-9376-31-3 182--185 Marco Panza Book Review: \booktitleMeccanicismo. Trionfi e miserie della visione meccanica del mondo, Giorgio Israel. Zaniclelli, Bologna (2015), pp. xiv + 322; 28 EUR, ISBN: 978-88-08-52129-3 . . 186--189 Arianna Borrelli Book Review: \booktitleZwischen zwei Disziplinen. B. L. van der Waerden und die Entwicklung der Quantenmechanik, Martina R. Schneider. Springer-Verlag, Berlin, Heidelberg (2011), e-ISBN 978-3-642-21825-5. 34,99 EUR (e-book). 411. 44,99 EUR (soft-cover)., ISBN: 978-3-642-21824-8 . . . . . . . . . . . 189--193 Jeremy Gray Book Review: \booktitleEmil Artin and Beyond --- Class Field Theory and $L$-Functions, Della Dumbaugh, Joachim Schwermer. European Mathematical Society (2015), 231 pp. \$76.00, ISBN: 978-3-03719-146-0} . . . . . . . . . . . 193--195 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 196--213 Anonymous Notes on contributors . . . . . . . . . 214--215 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
François Lê The recognition and the constitution of the theorems of closure . . . . . . . . 217--236 Anonymous Editorial Board . . . . . . . . . . . . 217--322 Aleksandar Nikoli\'c Karamata functions and differential equations: Achievements from the 20th century . . . . . . . . . . . . . . . . 237--276 Russell W. Howell Book Review: \booktitleMathematicians and Their Gods: Interactions Between Mathematics and Religious Beliefs, Snezana Lawrence, Mark McCartney (Eds.). Oxford University Press (2015), 320 pp. \$44.00, ISBN: 978-0-19-870305-1} . . . 277--299 Andrea Sereni Book Review: \booktitleThe Selected Correspondence of L. E. J. Brouwer. Sources and Studies in the History of Mathematics and Physical Science, Dirk Van Dalen (Ed.). Springer-Verlag, London (2011), p. VIII, 532. Hardcover ISBN: 978-0-85729-537-8, Softcover ISBN: 978-1-4471-2691-1 . . . . . . . . . . . 300--302 Jemma Lorenat Book Review: \booktitlePushing Limits: From West Point to Berkeley and Beyond, Ted Hill. American Mathematical Society and MAA Press, Providence (2017), 294 pages. 45 dollars, ISBN: 978-1-4704-3584-4 . . . . . . . . . . . 302--304 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 304--305 Anonymous Notes on contributors . . . . . . . . . 306--320 Christián C. Carman Accounting for overspecification and indifference to visual accuracy in manuscript diagrams: a tentative explanation based on transmission . . . ifc--ifc
Jeanne Peiffer and Hél\`ene Gispert and Philippe Nabonnand Interplay between mathematical journals on various scales 1850--1950 . . . . . . 323--333 Rossana Tazzioli Interplay between local and international journals: the case of Sicily, 1880--1920 . . . . . . . . . . . 334--353 Reinhard Siegmund-Schultze The interplay of various Scandinavian mathematical journals (1859--1953) and the road towards internationalization 354--375 Caroline Ehrhardt A locus for transnational exchanges: European mathematical journals for students and teachers, 1860s--1914 . . . 376--394 Maria Rosaria Enea Circulation of an editorial model: the case-study of the short-lived \booktitleLe Matematiche Pure ed Applicate . . . . . . . . . . . . . . . 395--413 Hél\`ene Gispert Une ambition éditoriale ``universelle et confraternelle'' : le bulletin bibliographique de L'Enseignement mathématique (1899--1920). (French) [A ``universal and confraternal'' editorial ambition: the bibliographic bulletin of mathematics teaching (1899--1920)] . . . 414--432 Erika Luciano Constructing an international library: the collections of journals in Turin's Special Mathematics Library . . . . . . 433--449 Anonymous Notes on contributors . . . . . . . . . 450--451 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Marc Moyon The \booktitleLiber Restauracionis: a newly discovered copy of a mediæval algebra in Florence . . . . . . . . . . 1--37 Nadezda Orlova and Sergei Soloviev Logic and logicians in Russia before 1917: Living in a wider world . . . . . 38--55 Jesper Lützen How mathematical impossibility changed welfare economics: a history of Arrow's impossibility theorem . . . . . . . . . 56--87 Christopher P. Porter Three books on computability, with a special focus on Turing's legacy . . . . 88--95 Daniel Patrick Morgan Book Review: \booktitleHeavenly Numbers: Astronomy and Authority in Early Imperial China, Christopher Cullen. Oxford University Press (2017), 426 + xiv pages . . . . . . . . . . . . . . . 96--99 Marie-José Durand-Richard Book Review: \booktitleIris Runge: a Life at the Crossroads of Mathematics, Science, and Industry, Renate Tobies. Springer/Birkhäuser (2012), 442 pp. + 16 Plates. 139.99\$, ISBN: 978-3-0348-0251-2} . . . . . . . . . . . 99--102 Brenda Davison Book Review: \booktitleThe G. H. Hardy Reader, Donald J. Albers, Gerald L. Alexanderson, William Dunham. Cambridge University Press, Cambridge (2015), pp. xii + 395, illus. (Softcover), ISBN: 978-1-107-59464-7 . . . . . . . . . . . 102--103 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 104--130 Anonymous Notes on contributors . . . . . . . . . 131--132 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Michalis Sialaros and Jean Christianidis and Athanasia Megremi Editorial note . . . . . . . . . . . . . 1--3 Markus Asper Personae at play. `\booktitleMen of Mathematics' in commentary . . . . . . . 4--15 Jean Christianidis and Athanasia Megremi Tracing the early history of algebra: Testimonies on Diophantus in the Greek-speaking world (4th--7th century CE) . . . . . . . . . . . . . . . . . . 16--38 Ken Saito Re-examination of the different origins of the arithmetical books of Euclid's \booktitleElements . . . . . . . . . . . 39--53 Sonja Brentjes Mathematical commentaries in Arabic and Persian --- purposes, forms, and styles 54--66 Gregg De Young The commentator's craft: Building a mathematical commentary from quotations 67--86 Nathan Sidoli and Yoichi Isahaya Na\dsir al-Din al-\dTusi's Comments on Euclid's Data . . . . . . . . . . . . . 87--105 Jeffrey A. Oaks Proofs and algebra in al-Farisi's commentary . . . . . . . . . . . . . . . 106--121 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 122--143 Anonymous Notes on contributors . . . . . . . . . 144--145 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Norman Biggs John Reynolds of the Mint: a mathematician in the service of King and Commonwealth . . . . . . . . . . . . . . 1--28 Frédéric Jaëck Calcul différentiel et intégral adapté aux substitutions par Volterra. (French) [Differential and Integral Calculation for Substitutions by Volterra] . . . . . 29--68 Izabela Jó'zwik and Lech Maligranda and Ma\lgorzata Terepeta Stefan Kempisty (1892--1940) . . . . . . 69--86 Klaus Volkert Note on models . . . . . . . . . . . . . 87--95 Gert Schubring Book Review: \booktitleKarl Weierstraß (1815--1897). Aspekte seines Lebens und Wirkens --- Aspects of his Life and Work, Wolfgang König, Jürgen Sprekels (Eds.). Springer Fachmedien, Wiesbaden (2016), 259 pp. . . . . . . . . . . . . 96--100 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 101--121 Anonymous Notes on contributors . . . . . . . . . 122--123 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Michael Raugh and Siegmund Probst The Leibniz catenary and approximation of $e$ --- an analysis of his unpublished calculations . . . . . . . . 1--19 Pierre Lamandé Sur la conception des objets et des méthodes mathématiques dans les textes philosophiques de d'Alembert . . . . . . 20--59 Helena Durnová and Tilman Sauer Václav Hlavatý on intuition in Riemannian space . . . . . . . . . . . . . . . . . 60--79 Roger Herz-Fischler An early usage of the expression ``golden section'' . . . . . . . . . . . 80--81 Holger Becker An even earlier (1717) usage of the expression ``golden section'' . . . . . 82--83 David E. Rowe Book Review: \booktitleFelix Klein. Visionen für Mathematik, Anwendungen und Unterricht, Renate Tobies. Springer, Heidelberg (2019), 574 pp. 55 EUR . . . 84--93 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 94--114 Jean Christianidis and Athanasia Megremi Corrigendum to ``\booktitleTracing the early history of algebra: Testimonies on Diophantus in the Greek--speaking world (4th-7th century CE)'' [Historia Mathematica \bf 47 (2019) 16--38] . . . 115--115 Anonymous Notes on contributors . . . . . . . . . 116--117
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Nathan Sidoli and Reinhard Siegmund-Schultze Editorial note . . . . . . . . . . . . . 1--1 Giovanni Ferraro Euler and the structure of mathematics 2--24 Elías Fuentes Guillén and Carmen Martínez Adame The notion of variable quantities $ \omega $ in Bolzano's early works . . . 25--49 Laura E. Turner Cultivating a research imperative: Mentoring mathematics at Stockholms Högskola, 1882--1887 . . . . . . . . . . 50--83 Vincenzo De Risi Book Review: \booktitleFermat et les débuts modernes de la géométrie, Roshdi Rashed. Olms, Hildesheim (2018), viii + 320., ISBN: 978-3-487-15685-9 . . . . . 84--87 Volker Peckhaus Book Review: \booktitleKurt Gödel: Collected Works. Vol. IV: Correspondence A-G. Vol. V: Correspondence H-Z, Solomon Feferman (Ed.). Clarendon Press, Oxford (2003), Paperback 2014. Vol. IV (pbk). xxii + 662 pp. + 12 ill. Vol. V: ISBN 978-0-19-968962-0 (pbk). xxvi + 664 pp. + 15 ill., ISBN: 978-0-19-968961-3 . . . 87--90 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 91--110 Anonymous Notes on new Editorial Board members . . 111--112 Anonymous Notes on contributors . . . . . . . . . 113--113
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Brigitte Stenhouse Mary Somerville's early contributions to the circulation of differential calculus 1--25 Maria Alessandra Vaccaro Historical origins of the nine-point conic. The contribution of Eugenio Beltrami . . . . . . . . . . . . . . . . 26--48 Ana Patrícia Martins An overview on the history of actuarial calculus in Portugal until the late 19th century . . . . . . . . . . . . . . . . 49--90 David Waszek Book Review: \booktitleNew Light on George Boole, Desmond MacHale, Yvonne Cohen. Cork University Press (2018), 492 pp. . . . . . . . . . . . . . . . . . . 91--93 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 94--115 Anonymous Notes on contributors . . . . . . . . . 116--116
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Yiwen Zhu How do we understand mathematical practices in non-mathematical fields? Reflections inspired by cases from 12$^{th}$ and 13$^{th}$ century China 1--25 Pierre Ageron and Hmida Hedfi Ibrahim al-Balish\dtar's book of arithmetic (ca. 1575): Hybridizing Spanish mathematical treatises with the Arabic scientific tradition . . . . . . 26--50 J. Marshall Unger On the acceptance of trigonometry in wasan: Evidence from a text of Aida Yasuaki . . . . . . . . . . . . . . . . 51--65 Christopher D. Hollings and R. B. Parkinson Two letters from Otto Neugebauer to Thomas Eric Peet on ancient Egyptian mathematics . . . . . . . . . . . . . . 66--98 Jesper Lützen Book Review: \booktitleThe Impossibility of Squaring the Circle in the 17th Century. A Debate Among Gregory, Huygens and Leibniz, Davide Crippa. Birkhäuser (2019), viii + 184 pp. . . . . . . . . . 99--103 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 104--124 Anonymous Notes on contributors . . . . . . . . . 125--126
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Andrea Sacchetti Francesco Carlini: Kepler's equation and the asymptotic solution to singular differential equations . . . . . . . . . 1--32 Riccardo Rosso Probability and exams: the work of Antonio Bordoni . . . . . . . . . . . . 33--47 Maria Rosaria Enea and Giovanni Ferraro Analytic and arithmetic methods in Liouville's identities . . . . . . . . . 48--70 François Lê ``Are the genre and the Geschlecht one and the same number?'' An inquiry into Alfred Clebsch's \booktitleGeschlecht 71--107 Lori L. Murray and David R. Bellhouse W. F. Sheppard's correspondence with Karl Pearson and the development of his tables and moment estimates . . . . . . 108--117 René van Bevern and Viktoriia A. Slugina A historical note on the $ 3 / 2$-approximation algorithm for the metric traveling salesman problem . . . 118--127 Victor J. Katz Book Review: \booktitleThe Mathematical World of Charles L. Dodgson, Robin Wilson, Amirouche Moktefi (Eds.). Oxford University Press (2019), 266 + xiv pages 128--131 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 132--146 Anonymous Notes on contributors . . . . . . . . . 147--148
Anonymous Pages 1--144 (February 2021) . . . . . . 1--144 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Kevin Gerard Tracey `Disturbed' by Euclid: Thomas Fincke and the reading of Ramist mathematics in sixteenth-century Germany . . . . . . . 1--40 June Barrow-Green ``Knowledge gained by experience'': Olaus Henrici --- engineer, geometer and maker of mathematical models . . . . . . 41--76 Iulian D. Toader Permanence as a principle of practice 77--94 Jesper Lützen Hjelmslev's geometry of reality . . . . 95--116 Gianluca Longa Book Review: \booktitlePtolemy's Philosophy: Mathematics as a Way of Life, Jacqueline Feke. Princeton University Press (2018), 256 pp., ISBN: 978-0-691-17958-2 . . . . . . . . . . . 117--119 Laurent Mazliak Book Review: \booktitleÉmile Borel. \`A l'aube de la théorie des quanta : notes inédites d'Émile Borel sur un cours de Paul Langevin au Coll\`ege de France (1912--1913), Martha Cecilia Bustamante De La Ossa (Ed.). Brepols Publishers, Turnhout (2019), $ 20 \times 26 $ cm. 65,00 EUR, ISBN: 978-2-503-58638-0 . . . 120--122 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 123--142 Anonymous Notes on contributors . . . . . . . . . 143--144
Anonymous Pages 1--116 (May 2021) . . . . . . . . 1--116 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Ricardo Rodríguez Hurtado and Juan A. Nicolás and Javier Echeverría Ezponda The geometric origin of perspectivist science in G. W. Leibniz. Analysis based on unpublished manuscripts . . . . . . . 1--22 David E. Rowe On resolving singularities of plane curves via a theorem attributed to Alfred Clebsch . . . . . . . . . . . . . 23--38 Alison Maidment The Edinburgh Mathematical Laboratory and Edmund Taylor Whittaker's role in the early development of numerical analysis in Britain . . . . . . . . . . 39--63 Cinzia Cerroni and Aldo Brigaglia The ``Circolo Matematico di Palermo'' and the First World War: the crisis of scientific internationalism: a view through the unedited correspondence of De Franchis with Edmund Landau and other mathematicians . . . . . . . . . . . . . 64--94 Antonin Durand Book Review: \booktitleL'élite sous la mitraille. Les normaliens, les mathématiques et la Grande Guerre, 1900--1925, David Aubin. Éditions Rue d'Ulm, Paris (2018), coll. \og Figures normaliennes\fg, 360 pp., preface by Claude Viterbo, 25 EUR . . . . . . . . . 95--97 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 98--114 Anonymous Notes on contributors . . . . . . . . . 115--116
Anonymous Pages 1--108 (August 2021) . . . . . . . 1--108 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc June Barrow-Green Awarding of the May Prizes for 2021 . . 1--3 Anonymous Awarding the Montucla Prize for 2021 . . 4--5 Andrea Del Centina and Alessandra Fiocca The chords theorem recalled to life at the turn of the eighteenth century . . . 6--39 Andrea Bender and Sieghard Beller Ways of counting in Micronesia . . . . . 40--72 Erika Luciano On Francesco G. Tricomi's heritage: Archive and miscellany . . . . . . . . . 73--84 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 85--106 Anonymous Notes on contributors . . . . . . . . . 107--107
Anonymous Pages 1--118 (November 2021) . . . . . . 1--118 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Xulin Zhou Two problems in the [Chinese characters] \booktitleSuanshu shu (Book of Mathematics): Geometric relations between circles and squares and methods for determining their mutual relations 1--23 Elías Fuentes Guillén and Davide Crippa The 1804 examination for the chair of Elementary Mathematics at the University of Prague . . . . . . . . . . . . . . . 24--54.e18 Michael Friedman On Mascheroni's \booktitleLa geometria del compasso at the beginning of the 19th century . . . . . . . . . . . . . . 55--79 Annette Imhausen Quo vadis \em History of Ancient Mathematics who will you take with you, and who will be left behind? Essay Review prompted by a recent publication 80--93 François Lê Book Review: \booktitleThéorie des fonctions algébriques d'une variable, Richard Dedekind, Heinrich Weber. Vrin (2020), Texte introduit, traduit et annoté par Emmylou Haffner. Mathesis . . 94--96 Duncan J. Melville and Laura Martini and Kim Plofker Abstracts . . . . . . . . . . . . . . . 97--116 Anonymous Notes on contributors . . . . . . . . . 117--118
Anonymous Pages 1--134 (February 2022) . . . . . . 1--134 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Antoni Malet and Nathan Sidoli Editorial . . . . . . . . . . . . . . . 1--2 Patrick Scott Ubiratan D'Ambrosio (1932--2021) . . . . 3--6 Henry Zepeda and Benno van Dalen and Menso Folkerts In memoriam: Richard P. Lorch (1942--2021) . . . . . . . . . . . . . . 7--16 Reinhard Siegmund-Schultze From lattices via social history to theories of modernity in mathematics: a biographical essay for Herbert Mehrtens (1946--2021) . . . . . . . . . . . . . . 17--34 Charlotte de Varent Small numerical variations in a set of similar problems from Nippur on the area of the square . . . . . . . . . . . . . 35--70 Christián C. Carman François Vi\`ete's method for calculating the eccentricity in a bisected model and its possible application to Kepler's Vicarious Hypothesis . . . . . . . . . . 71--91 Lene Birkeland and Rolf Nossum A letter from Malevich to Semevsky about Kovalevskaya . . . . . . . . . . . . . . 92--119 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 120--132 Anonymous Notes on contributors . . . . . . . . . 133--134
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Anonymous Table of contents . . . . . . . . . . . 1--1 Christine Proust and Eric Vandendriessche Introduction --- a critical approach to the opposition between ``concrete'' and ``abstract'' numbers . . . . . . . . . . 3--11 Eric Vandendriessche The concrete numbers of ``primitive'' societies: a historiographical approach 12--34 Miguel Valério and Silvia Ferrara Numeracy at the dawn of writing: Mesopotamia and beyond . . . . . . . . . 35--53 Christine Proust The sexagesimal place-value notation and abstract numbers in mathematical cuneiform texts . . . . . . . . . . . . 54--70 Baptiste Fiette Measuring crops with the sukunnûm-number . . . . . . . . . . . . . 71--98 Christine Chambris and Jana Visnovska On the history of units in French elementary school arithmetic: the case of proportionality . . . . . . . . . . . 99--118 Débora Ferreira and Gert Schubring ``Complex numbers'' and the problem of multiplication between quantities . . . 119--145 Xiaofei Wang How Jean-Baptiste Delambre read ancient Greek arithmetic on the basis of the arithmetic of ``complex numbers'' at the turn of the 19th century . . . . . . . . 146--163 Karolina Karpi\'nska ``Denominate numbers'' in mathematics school textbooks by Stefan Banach . . . 164--196 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 197--214 Anonymous Notes on contributors . . . . . . . . . 215--217
Anonymous Pages 1--98 (August 2022) . . . . . . . 1--98 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Siu A. Chin Modern light on ancient feud: Robert Hooke and Newton's graphical method . . 1--14 M. G. Lugaresi and C. D'Alterio Federigo Enriques (1871--1946): a critical study of \booktitleLezioni di geometria proiettiva . . . . . . . . . . 15--52 Reinhard Siegmund-Schultze Felix Hausdorff's Collected Works --- a meta-review . . . . . . . . . . . . . . 53--64 Maarten Bullynck \booktitleSupplementband: Johann Heinrich Lamberts Monatsbuch. Neu herausgegeben, eingeleitet, kommentiert und mit Verzeichnissen zu Lamberts Schriften, Briefen und nachgelassenen Manuskripten versehen (in two volumes), Niels W. Bokhove, Armin Emmel (Eds.). Olms, Hildesheim u.a. (2020), Cloth. clvii + 925 pages, ISBN: 978-3-487-15822-8 . . . . . . . . . . . 64--66 Jeanne Peiffer \booktitleLeonhardi Euleri Opera omnia, Series IV A : Commercium Epistolicum, Vol. 8 Ediderunt Andreas Kleinert et Thomas Steiner, auxilio Gisela Kleinert et Martin Mattmüller. Basel (Birkhäuser). 2018 . . . . . . . . . . . . . . . . . . 66--68 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 69--96 Anonymous Notes on contributors . . . . . . . . . 97--97
Anonymous Pages 1--98 (November 2022) . . . . . . 1--98 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc David Clark and Todd Munson On five sangaku problems appearing in Yamaguchi's travel diary . . . . . . . . 1--2 Hidetoshi Fukagawa and David Clark Ajima's solution to the Gion shrine problem: a modern interpretation . . . . 3--10 Peter Wong On a sangaku of Sugino'o Shrine (Yamagata) and Yamaguchi Kanzan's second trip . . . . . . . . . . . . . . . . . . 11--17 J. Marshall Unger Mathematics and philology: an example from wasan . . . . . . . . . . . . . . . 18--24 Arrigo Pisati and Riccardo Rosso Felice Casorati and the reception of Gaussian optics in Italy . . . . . . . . 25--44 Alberto Cogliati and Rachele Rivis The origins of the fundamental theorem of surface theory . . . . . . . . . . . 45--79 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 80--96 Anonymous Notes on contributors . . . . . . . . . 97--98
Anonymous Pages 1--92 (February 2023) . . . . . . 1--92 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Antoni Malet and Jeffrey Oaks Editorial . . . . . . . . . . . . . . . 1--2 David Buckle How the estimate of $ \sqrt {2} $ on YBC 7289 may have been calculated . . . . . 3--18 Lloyd Strickland How Leibniz tried to tell the world he had squared the circle . . . . . . . . . 19--39 Dmitry Zlatopolski ``Perfect Arithmetic'' by Vaclav Josef Pelikan . . . . . . . . . . . . . . . . 40--50 Antti J. V. Tuominen Pygmies, Bushmen, and savage numbers --- a case study in a sequence of bad citations . . . . . . . . . . . . . . . 51--72 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 73--91 Anonymous Notes on contributors . . . . . . . . . 92--92
Anonymous Pages 1--92 (May 2023) . . . . . . . . . 1--92 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Christopher Baltus Poncelet's discovery of homology . . . . 1--20 Henning Heller Felix Klein's teaching of Galois theory 21--46 Valérie Debuiche and Mattia Brancato \em Scientia Perspectiva. Leibniz and geometric perspective . . . . . . . . . 47--69 David E. Rowe \booktitle``Kann eine Frau Privatdozentin werden?'' --- die Umfrage des Preußischen Kultusministeriums zur Habilitation von Frauen 1907, Cordula Tollmien. tredition, Hamburg (2021), 296 S., 19,99 EUR, ISBN: 978-3-347-05156-0 70--74 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 75--91 Anonymous Notes on contributors . . . . . . . . . 92--92
Anonymous Pages 1--78 (August 2023) . . . . . . . 1--78 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc Dominique Raynaud Da Vinci's \booktitleCodex Atlanticus, fols. 395r and 686r-686v, refers to Leonardo Pisano \em volgarizzato, not to Giorgio Valla . . . . . . . . . . . . . 1--18 Michael Wiescher Julius Plücker --- a path from geometry to optics . . . . . . . . . . . . . . . 19--33 Alessandro Belcastro and Giuseppina Fenaroli A determination of Catalan numbers in 18th century Italy by Giovanni Rizzetti (1675--1751) . . . . . . . . . . . . . . 34--47 Jens Hòyrup Book Review: Adam Ries, \booktitleCoß 1. 2 vols., Bernd Rüdiger, Gebhardt Rainer, Menso Folkerts (Eds.). Adam-Ries-Bund, Annaberg-Buchholz (2023), 320 + 278 pp. 48--56 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 57--75 Anonymous Notes on contributors . . . . . . . . . 76--77
Anonymous Pages 1--54 (November 2023) . . . . . . 1--54 Anonymous Editorial Board . . . . . . . . . . . . ii--ii J. Marshall Unger Cyclic quadrilaterals: Solutions of two Japanese problems and their proofs . . . 1--13 Viktor Blåsjö Newton on constructions in geometry . . 14--29 Michalis Sialaros Book Review: \booktitleA New History of Greek Mathematics, Reviel Netz. Cambridge University Press, Cambridge (2022) . . . . . . . . . . . . . . . . . 30--32 Nicolas Michel Review of Jesper Lützen: \booktitleA History of Mathematical Impossibility. Oxford University Press (2022) . . . . . 33--35 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 36--53
Anonymous Pages 1--60 (March 2024) . . . . . . . . 1--60 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Glen Van Brummelen Decimal fractional numeration and the decimal point in 15th-century Italy . . 1--13 G. Sreeram and Aditya Kolachana The sa\dmyoga-meru: a combinatorial tool in the \em Sa\.ngita-ratnakara . . . . . 14--25 Richard Arthur and David Rabouin ``On the Unviability of Interpreting Leibniz's Infinitesimals through Non-standard analysis'' . . . . . . . . 26--42 Jens Hòyrup Johannes Regiomontanus, \booktitleAufgaben und Übungen zur Algebrass, Menso Folkerts, Martin Hellmann. Erwin Rauner Verlag, Augsburg (2023), Essay review byed., trans . . . 43--46 Davide Crippa Book Review: \booktitleReactionary Mathematics: a Genealogy of Purity, Massimo Mazzotti. University of Chicago Press (2023) . . . . . . . . . . . . . . 47--49 Anonymous Abstracts . . . . . . . . . . . . . . . 50--59
Anonymous Pages 1--54 (June 2024) . . . . . . . . 1--54 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Chandana Jayawardana Mathematical cognition related to the large numbers in early societies: a study based on 5th-century Buddhist Commentaries in Sri Lanka. . . . . . . . 1--12 Nathan Sidoli Book Review: \booktitle\em Aristarchus of Samos: On the Sizes and Distances of the Sun and the Moon by Christián C. Carman and Rodolfo P. Buzón. London (Routledge) 2023 . . . . . . . . . . . . 13--14 Jan P. Hogendijk Book Review: Julio Samsó, \booktitleOn both sides of the strait of Gibraltar: Studies in the history of medieval astronomy in the Iberian Peninsula and the Maghrib. Leiden: Brill, 2020. XXI + 1005 pp, ISBN 978-90-04-43656-5. Handbook of Oriental Studies, Section 1, The Near and Middle East, Vol. 144. Price 207 Euro . . . . . . . . . . . . . 15--15 Jens Hòyrup Review of: Marc Moyon, \booktitleLe Liber augmenti et diminutionis: \em Contribution \`a l'histoire des mathématiques médiévales. XVI, 204 pp. (Boethius, 73). Stuttgart: Franz Steiner Verlag. ISBN 978-3-515-13573-3 (print), ISBN 978-3-515-13581-8 (E-Book) . . . . 16--19 Clelia V. Crialesi Brill, Leiden-Boston (2022), Review of Di Liscia, Daniel A., and Sylla, Edith D. (eds.) with the collaboration of Bakker, Paul J.J.M. \booktitleQuantifying Aristotle (`Medieval and Early Modern Philosophy and Science', 34), pp. 479 . . . . . . . 20--22 Laurent Mazliak Book Review: \booktitleLe Monde des mathématiques, Pierre-Michel Menger, Pierre Verschueren. Éditions du Seuil, Paris (2023), 832 pages, ISBN-10 2-02-153070-1, ISBN-13 978-2-02-153070-4 23--24 Thomas Preveraud The International Commission on Mathematical Instruction, 1908--2008: People, events and challenges in mathematics education . . . . . . . . . 25--27 Michael N. Fried Sabetai Unguru 1931--2024 . . . . . . . 28--31 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 32--54
Anonymous Pages 1--76 (September 2024) . . . . . . 1--76 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Ofer Elior The Hebrew translation of Euclid's \booktitleElements ascribed to Rabbi Jacob: a new analysis following the ``Discovery'' of the Arabic version in MS Paris, BULAC ARA. 606 . . . . . . . . 1--21 Benjamin Wardhaugh Euclidean terms in European languages, 1482--1703 . . . . . . . . . . . . . . . 22--37 François Lê Book Review: \booktitleThe Richness of the History of Mathematics: a Tribute to Jeremy Gray. Karine Chemla, José Ferreirós, Lizhen Ji, Erhard Scholz, Chang Wang (eds.). Springer, 2023 . . . 38--39 Niccol\`o Guicciardini Henk J. M. Bos (1940--2024): a first assessment of his legacy in the field of history of mathematics . . . . . . . . . 40--48 Marco Panza and Niccol\`o Guicciardini Massimo Galuzzi (1943--2023). Obituary 49--50 Duncan J. Melville and Kim Plofker Abstracts . . . . . . . . . . . . . . . 51--76
Anonymous Pages 1--72 (December 2024) . . . . . . 1--72 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Christián C. Carman Fabricius's theory for Mars: the model that shocked Kepler . . . . . . . . . . 1--21 Eleonora Sammarchi Additive and subtractive as relational entities in the algebra of al-Zanjani (and his predecessors) . . . . . . . . . 22--40 David Rabouin Negatives as fictions in 16$^{\rm th}$ and 17$^{\rm th}$ century mathematics 41--61 Eric Moses Gurevitch Book Review: Misra, Anuj, 2022. \booktitleLearning With Spheres: the Goladhyaya in Nityananda's Sarvasiddhantaraja. Routledge, London 400 pp. DOI: 10.4324/9780429506680 . . . 62--64 Reviel Netz Book Review: Francisci Maurolyci \booktitleArchimedea, curaverunt Riccardo Bellé, Pier Daniele Napolitani, Beatrice Sisana. Adnotationes anglice interpretatus est Walter Roy Laird. \booktitleTomus A. Opera Archimedis ex traditione Maurolyci, curaverunt Riccardo Bellé, Pier Daniele Napolitani, Beatrice Sisana, Pisa, Fabrizio Serra Editore 2022, pp. LXXIV-474, \booktitleTomus B. De momentis, curaverunt Riccardo Bellé, Pier Daniele Napolitani, Beatrice Sisana, adiuvante Roberta Tucci, Pisa, Fabrizio Serra Editore 2022, pp. XIV--186, ISBN: Tomus A: 978-88-3315-476-3, Tomus B: 978-88-3315-478-7 . . . . . . . . . . . 65--66 Álvaro José Campillo Bo Book Review: \booktitleMotion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition, Angela Axworthy. (2021) . . . . . . . . 67--68 Maarten Bullynck Book Review: Edouardo Noble ``\booktitleThe Rise and Fall of the German Combinatorial Analysis''. Basel, Birkhäuser, 2022 . . . . . . . . . . . . 69--70 Chandana Jayawardana Withdrawal notice to: Mathematical cognition related to the large numbers in early societies: a study based on 5th-century Buddhist Commentaries in Sri Lanka. [Hist. Math. 67 (2024) 1--12] . . 71--71