PII: 0315-0860(81)90062-8 HM8 Abstracts #1763-#1816 489 ABSTRACTS EDITED BY ALBERT C. LEWIS The purpose of this department is to give sufficient infor- mation about the subject matter of each publication to enable users to decide whether to read it. It is our intention to cover all books, articles, and other materials in the field. Books for abstracting and eventual review should be sent to -- ------ this department, with an extra copy sent directly to the editor --- ---- of the Book Reviews Department if the publisher wishes to ac- --- -- --- celerate the process. Materials should be sent to Dr. Albert C. Lewis, Humanities Research Centre, Box 7219, Austin, TX 78712. Readers are invited to send reprints, autoabstracts, correc- tions, additions, and notices of publications that have been overlooked. Be sure to include complete bibliographic informa- tion, as well as transliteration and translation for non-Euro- pean languages. We need volunteers willing to cover one or more journals for this department. The indexing terms (in captials) refer only to aspects of the publication of interest to historians of mathematics, includ- ing some topics in general history of science and historiography, but not other topics unless there is a fairly close link with mathematics or its history. MR 46 #3255 means that the item is numbered 3255 in volume 46 of Mathematical Reviews. RZ 1973 #3A14 means that the item is numbered 3414 in the third number of the 1973 volume of the Referativny Zhurnal. Z 50 4 means volume 50, page 4 of the Zentralblatt. Isis 102, 45 means item 45 in the 102nd Isis Critical Bibliography. In order to facilitate reference and indexing, entries are given serial numbers which appear at the end following the symbol #. The serial numbers of books are underlined. A name in parentheses at the end of an entry indicates the abstractor. In this issue there are abstracts by Albert C. Lewis, H. Mehrtens, L. F. Meyers, and C. J. Tee. 0315-0860/81/040489-05$02.00/O Copy@$u 0 1981 ~~Acad@~icPr~ss, Inc. AN rights of reproduction in any form reserved. 490 Abstracts #l-/63-#I816 HM 8 ACLOQUE PAUL 1981 OsCillations et stabilitP se1011 Foucault; Critique historique et exp&imcntale. PrBface de Pierre Costabel. Paris: Centre National de la Recherche Scientifique. xiv + 149 pp. Illustrated. Paperbound. ISBN 2-222-02849-3. (Cd- leftiOn des Travaux de i'Acad&nle Internationale d'tiistoire &s Sciences, No. 28,) An aCCOUnt Of LEON FOUCAIJLT's work on oscillation and stability. J. M. BINET. J. V. PONCEZET. (ACL) #I763 ALEKSANDROV P S 1979 The GENEML TOPOLOGY school at M0SCOW UNIVERSITY. (Russian) Vestnik Moskovskogo Universiteta Ser. I. Matematika, Mehanika No. 6, 3-6. (ACL) #1764 ALEXANDROV P S et al. 1981 A. I. MARKUSHEVLCH as a historian of mathematics. HM 8, 125-132. (ACL) #1765 (ANONYMOUS) 1979. Academician Profesor Gheorghe VRANCEANU. Studii si Cercet&i Matematice 31, 385-386. (In Romanian.) OBITUARY. DIFFERENTIAL GEOMETRY. (L. T. MJZYERS) #1766 ~ANONYM0~S) 1980. List of works of Paul TU&.N. Acta Arithmetica 37, 21-34. BIBLI- OGRAPHY of 244 items. (L. F. MEYERS) %1767 (ANONYMOUS) 1980. Paul. TURiN (1910-1976). Acta Arithmetica 37, 1. (In English, with PORTRAIT in frontispiece.) Very brief biography. CL. F. mYERSI El768 (ANONYMOUS) 1981. BronisZ'aw KNASTER. Fundamenta Mathematicae lil, inserted before p. 1. (In French.) OBITUARY. PORTRAIT. (L. F. MEYERS) #1769 BECHER HARVEY W 1980 Woodhouse, Babbage, Peacock, and modern ALGEBRA. HM 7, 389- 400. GEORGE PEACOCK. CHARLES BABBAGE. ROBERT WOODHOUSE. (ACL) R1770 BH?&KAtiCHRRYA 1900 Bh&kar%hZry.Z's BijagaFita and Its English Translation. TX-SiS- lated by Professor S. K. Abhyankar. Paona, India: Bh&karlch;iryZ Pratishthana, :06/6 Erandawane. 59 PP. Rs. 5. Twelfth-century Indian ALGEBRA. Sanskrit with English translation. (ACL) #1771 BIALAS V 1980 Internationaler Kongress iiber Wissenschaftsentwicklunq 1848-1918. Budapest 16.-19. September 1980. Berichte zur Wissenschaftsgeschichte 3, 226-228. Theme : Matters of development of science and technology in Central Europe durinq.1848- 1918. H. Wussing spoke on the principal line of development in the period 1850-1920, wflectirig political. and social developments. L. Nov$ spoke on social and scientific matters relating to the development of scientific institutions. (I,. F. MEYERS) ti1772 BUCK R CREIGHTON 1980 Sherlock Holmes in Babylon. American Mathematical Monthly 87, 335-345. A description of the decipherment and interpretation of the BA~YbONI~N mathematical cuneiform tablet Plimpton 322. (Reprinted in Cryptologia 5 (19811.) (ACL) #1773 BiiHLER WALTER KAUFMANN 1981 Gauss: A Biographical Study. Berlin et al.: Sprinqer- Verlaq. viii l 208 pp. Illustrated. $16.80. C. F. GAUSS. According to the author this is "addressed to the confemporary mathematician and scientist, not to the histo- rian of science or the psycholagist collecting the scalps of qreat men." The numerous quotations are translated into English with the original usually given in the footnotes Appendixes are devoted to the organization of Gauss' collected works, a survey of the secondary Literature, and an index to Gauss' works. (ACL) #1774 BUTZER PAUL L 1981 An outline of the life and work of E. B. CHRISTOFFEL (182% 19001. HM 8, 243-276. (ACL) ii1775 BUTZER P 1; & FEHiiR F 1980. Bericht iiber das Internationale Christoffel-Symposium in Aachen und Monschau, 8,-11. November l.979. Berichte zur Wissenschaftsgeschichte 3, 193-201. Sesquicentennial observance. 8rief biography. (He was born in Monschau.) Section titles: Christoffel im Rahmen seiner Zeit; fhristoffels nicht geometrische Verijffentlichunqen; Christoffels Beitr;ige zur Differentialgeometrie und deren Anwendunqen. This is probably the first symposium on Christoffel. Festschrift in preparation. (L. F. MEYERS) #It776 HM 8 Abstracts #1763-#1816 491 CHARBONNEAU LOUIS 1981 Congrbs Annuel, Canadian Society for the History and Philos- ophy of Mathematics/Soci&B Canadienne d'histoire et de philosophie des math&atiques. HM 8, 191-192. (ACL) #1777 CLAGETT MARSHALL 1980 ARCHIMEDES in the Middle Ages. Volume 4: A Supplement on the Medieval Latin Traditions of Conic Sections (1150-1566). Part I: Texts and Anal- ysis. Part II: Bibliography, Diagrams, and Indexes. Philadelphia: The American Philosophical Society. 2 VOlS. Illustrated. $30.00. (Memoirs of the American Philosophical Society, Vol. 137, Parts A and 8.) ALHAZEN. WITELO. WILLIAM OF MOERBEKE. JOHANN WERNER. ALBRECHT D&R. ORONCE FINE. FRANCESCO MAUROLICO. (ALC) #1778 COHEN G L & SHANNON A G 1981 JOHN WARD's method for the calculation of pi. HM 8, 133-144. (ACL) #1779 D'AMORE BRUNO 1981 ETTORE CARRUCCIO--The man and the scientist. HM 8, 235-242. (ACL) #1780 DASTON LORRAINE J 1980 Probabilistic expectation and rationality in classical PROBABILITY THEORY. HM 7, 234-260. (ACL) #1781 DAUBEN JOSEPH W 1980 Mathematicians and World War I: The international diplomacy of G. H. HARDY and GijSTA MITTAG-LEFFLER as reflected in their personal correspondence. HM 7, 261-288. (ACL) #1782 DAVIS PHILIP J & HERSH REUBEN 1981 The Mathematical Experience. Boston et al.: Birkhauser. xix + 440 pp. Illustrated. $24.00, ISBN 3-7643-3018-X. An attempt "to capture the inexhaustible variety presented by the mathematical experience," making use of the history and philosophy of mathematics as well as of mathematical exposition. Treatment of general questions, such as "How much mathematics is now known?" and particular topics, such as "the stretched string," and "the Riemann Hypothesis." Bibliography of 18 pages. (ACL) #1783 DICK AUGUSTE 1981 EMMY NOETHER 1882-1935. Translated by H. I. Blocher. Boston/ Basel/Stuttgart: Brikhxuser. xiv + 193 pp. Illustrated. $12.95. ISBN 3-7643- 3019-8. A popular biography with list of publications by Noether. Also included are the complete obituaries by B. L. van der Waerden, H. Weyl, and P. S. Alexandrov. (ACL) #1784 DJEBBAR A 1981 Enseignement et recherche math&natiques dans le Maghreb des XIIIe- XI+ sibcles (Etude partielle). Orsay: Universit& de Paris-Sud, D&partement de Math- Gmatique, Bdt. 425. 147 pp. Reproduced typescript. (Publications Math&natiques d'orsay, No. 81-02.) Mathematical instruction and research in MAGHRIB (or Maghreb) of the 13th and 14th centuries. In this "partial study" several aspects of algebra, symbolism in algebra, and the theory of numbers and combinatorics are considered with reference to original manuscripts. ARABIC. (ACL) #1785 ECHEVERRIA JAVIER 1979 L'analyse g&m&rique de Grassmann et ses rapports avec la caract&istique g&&trique de LEIBNIZ. Studia Leibnitiana 11, 223-273. H. G. GRASSMANN "certainly created a new branch of mathematics . . . (but) what this results in is quite different, and at times even divergent, from the Leibnizian version" of the CHARACTERISTICA GEOMETRICA. (ACL) #1786 EGMOND WARREN VAN 1980 Practical Mathematics in the ITALIAN RENAISSANCE: A Catalog of Italian Abacus Manuscripts and Printed Books to 1600. Firenze: Istituto e Museo di Storia della Scienza. xliv + 442 pp. Paperbound. (Supplement to the Annali dell'Istituto e Museo di Storia della Scienza, 1980, Fascicolo 1.) Described in full bibliographical detail are 300 manuscripts and 153 abacus books printed between 1476 and 1600 plus 33 later editions of these works, located in nearly 100 libraries. (XL) #1787 ELFVING GUSTAV 1981 The History of Mathematics in FINLAND, 1828-1918. Helsinki: Societas Scientiarum Fennica. 195 pp. Illustrated. Paperbound. ISBN 951-653-098-Z. (The History of Learning and Science in Finland 1828-1918, 4a.) The author is Emeritus Professor of Mathematics at the University of Helsinki. Biographical accounts of about 492 Abstracts #1763-#1816 KM8 fifty mathematicians are given along with descriptions of their mathematical contribu- tions. Included are: N. G. AF SCHULT~N; LO~NZ LINDELijF; GijSTA MITTAG-~FFLER; HJALMAR MELLIN; E. R. NEOVIUS; ERNST LINDELEjF; 3. W. LINDEBERG; SEVERIN JORANSSON. Photographs of most of the subjects are reproduced. (ACL) #1788 ENGELBERG DON & GERTNER MICHAEL 1981 A marginal note of MERSENNE concerning the "Galileian Spiral." HM 8, l-14. (ACL) #1789 ENGELSMAN S B 1981 Tagung "Geschichte der Mathematik im Mathematischen Forschunqs- institut Oberwolfach. HM 8, 67-79. (ACL) #1790 ERD& P 1980 Some personal reminiscences of the mathematical work of Paul TURN. Acta Arithmetica 37, 3-8. Some interesting problems in NUMBER THEORY that Turdn worked on (often with ERD&). (L. F. MEYERS) #1793 FREISLEBEN HANS-CHRISTIAN 1978 Geschichte der Navigation. 2nd ed. Wiesbaden: Franz Steiner. viii + 152 pp. (ACL) #1792 FRIBERG J&AN 1981 Methods and traditions of BABYLONIAN MATHEMATICS: Plimpton 322, Pythagorean triples, and the Babylonian triangle parameter equations. HM 8, 277-318. (ACL) #1793 FRISINGER H HOWARD 1981 The solution of a famous two-centuries-old problem. The LEONHARD ED‘LER-LATIN SQUARE conjecture. HM 8, 56-60. (ACL) #1794 GANI J 1981 The spread of epidemics. Mathematical Chronicle 10, l-11. Surveys of mathematical studies of epidemics, by JOHN GRAUNT, DANIEL BERNOULLI, W. FARR, .I. BROWNLFE, W. H. HAMER, and recent investigators. (G. J. Tee) #1795 GERKE KARL & HARBORTH HEIKO 1981 Zum Leben des Braunschweiger Mathematikers RICHARD DEDEKIND. Pp. 657-694 in G. Spies, ed., Brunswick 1031-Braunschweig 1981. Festsfhrift sur Ausstellung+ (Braunschweig: St;idtisches Museum). Brief biography with some new information, family tree, 24 paws of illustrations of homes. familv, manuscripts, and portraits of Dedekind at 1?+,-24 (color). 37, 55, and 72 y&s. - (H. Mehrtensf #1796 GHEORGHIEV GH 1981 ALBERT EINSTEIN and the development of differential geometry. Noesis: Travaux du Cornit Roumain d'Histoire et de Philosophie des Sciences, 7, 9-16. GEORG PICK. DAVID HILBERT. A. MYLLER. (ACL) #1797 GILLISPIE CHARLES C 1979 Memoirs inedits ou anonymes de LAPLACE sur la theorie des erreurs, les polyn&mes de LEGENDPE, et la philosophic des probabilities. Revue d'Histoire des Sciences et de leurs Applications 32, 223-279. (ACL) #179% GOLDSTEIN B R 1981 The Hebrew astronomical tradition: New sources. Isis 72, 237- 251. Appendix 3 contains a list of eight mathematical fragments from the Cairo Geniza (L. F. Meyers) _ #1799 GRABINER JUDITH V 1981 The Origins of Cauchy's rigorous CALCULUS. Cambridge, Mass. MIT Press. x + 252 pp. $30.00. ISBN O-262-07579-0. The 19th-century revolution in calculus created by A.-L. CAUCHY is studied in terms of his transformation of certain 18th-century notions into the modern concept of rigor. The key terms are: inequal- ities, limit, continuity, convergence, derivative, and integral. The origins of Cauchy's rigor "grew, not principally out of [the 18th-century's] discussions of foundations but from other, quite different parts of its work." J.-L. LAGRANGE was crucial as a transition figure. (ACL) #m GRATTAN-GUINNESS IVOR 1980 GEORG CANTOR's influence on BERTRAND RUSSELL. HiStOry and Philosophy of logic 1, 61-93. "In some respects the influence is positive . . . but in various ways negative influence is evident, for Russell adopted alternative views about the form and foundations of SET THEORY." (ACL) #1851 GRAY JEREMY 1980 A note on KARL M. PEARSON. HM 7, 444. IACL) #1802 m-48 Abstracts #1763-#1816 493 GUPTA R C 1981 Fourth Annual Conference of the Indian Society for History of Mathematics. HM 8, 351-355. (XL) #1803 HAHN R 1981 More light on Charles the Obscure. Isis 72, 83-86. Jacques Charles, mathematician, has been confused with Jacques Alexandre C&w Charles, of Charles' Law. This article supplements J. B. Gough, "Charles the Obscure," Isis (1979) 70, 576-579. (L. F. MEYERS) #1804 HALASZ G 1980 The number-theoretic work of Paul TU&. Acta Arithmetica 37, 9-19. NUMBER THEORY. POWER SUM METHOD. ZETA FUNCTION. PARTITIONS. UNIFORM DISTRIBUTION. (L. F. MEYERS) #1805 HAWKINS THOMAS 1980 Non-Euclidean geometry and Weierstrassian mathematics: The background to Killing's work on LIE ALGEBRAS. HM 7. 289-342. (ACL) #1806 HEIMS STEVE J 1980 JOHN VON NEUMANN and NORBERT WIENER: From Mathematics to the Technologies of Life and Death. Cambridge, Mass.: MIT Press. $19.95. Traces a "philosophical/psychological" strain in the lives of van Neumann and Wiener that affected their work, style, and political and social concerns. (ACL) #1807 HONIC PETER SCOTT 1980 History and mathematical analysis of the FUSEE. Pp. 114-120 in K. Maurice and 0. Mayr, eds., The Clockwork Universe: German clocks and Automata, 1550-1650 (New York: Neale Watson Academic Publications). A history of the attempts to overcome the problem of the nonconstancy of the force provided by spiral springs in clocks. PIERRE VARIGNON. BENJAMIN MARTIN. (ACL) #1808 HUSTER LUDGER 1981 Dokumentation zur Entwicklung der Mathematik-Didaktik im 19. Jahrhundert Elementarschulbereich. Bielefeld, West Germany: UniversitHt Bielefeld, Institut fiir Didaktik der Mathematik. 145 pp. (Schriftenreihe des IDM, 26/1981.) Catalog of German 19th-century books and articles on the methodology of elementary school mathematics teaching; 297 entries with short descriptions of contents. (H. Mehrtens) #1809 JARN?K VOJTECH 1981 Bolzano and the Foundations of Mathematical Analysis. On the Occasion of the Bicentennial of BERNARD BOLZANO. Prague: Society of Czechoslovak Mathematicians and Physicists. 89 PP. Illustrated. A twenty-page introduction on the "life and scientific endeavour" by Jaroslav Folta is followed by an account of Bolzano's mathematical work by Jarnik, Professor of Mathematics at Charles University. Photographic reproductions of several images of Bolzano are given. (ACL) #1810 JONES CHARLES V 1981 Annual Meeting of the History of Science Society, 1980. HM 8, 192-194. (ACL) #1811 JORDAN STEVEN L 1981 American attempts to solve NEWTON'S PASTURAGE PROBLEM. HM 8, 145-160. (ACL) #1812 KAHN DAVID 1980 On the origin of polyalphabetic substitution. Isis 71, 122-127. CIPHER SYSTEM. (ACL) #1813 KAISER W 1980 Verdrlngte Wissenschaften. XVIII. Symposium der Gesellschaft fiir Wissenschaftsgeschichte. 15.-17. Mai 1980 in Marburg. Berichte zur Wissenschafts- geschichte 3, 203-206. Iatromathematics involved the influence of the stars on the body and human health, in particular "mathematical" methods of prognosis and treat- ment using a horoscope, mostly in the 15th and 16th centuries. Astrophysics has pushed positional astronomy into the background. Other, nonmathematical, cast-aside sciences were discussed. (L. F. Meyers) #1814 KATZ VICTOR J 1981 The history of DIFFERENTIAL FORMS from Clairaut to Paincar&. HM 8, 161-188. (ACL) #1815 KEPLER JOHANNES 1981 Mysterium Cosmographicum; the Secret of the Universe. T?XIW- l&ion by A. M. Duncan. Introduction and commentary by E. J. Aiton. New York: Abaris Books. 267 pp. Illustrated. First English translation of the first major astronom- ical work by Kepler (1596). (ACL) #1816