HM 18 ABSTRACTS 91, JANOVSKAYA who wrote extensively on the history and philosophy of LOGIC and mathematics and. was the leading professor of mathematical logic at Moscow State University during the early Soviet. period She is best known for her defense of mathematical logic against the dialectical materialist. philosophers A selected bibliography is included IA 18 1 4. ANELLIS IRVING H 1989 Distortions and discontinuities of MATHEMATICAL PROGRESS A matter. of style a matter of luck a matter of time a matter of fact Philosophica 43 l 163 196 Uses as. examples Bonasoni s Algebra geometrica ca 1575 van Heijenoort s work in model theoretic proof. theory Atanasoff s construction of the first electronic digital computer and Russell s treatment of the. history of logic to argue that mathematical progress is not necessarily globally continuous IA. ANELLIS IRVING H 1989 La obra de JEAN VAN HEIJENOORT en el campo de la logica Sus. aportaciones a la teoria de la demonstration The work of Jean van Heijenoort in LOGIC His. contributions to PROOF THEORY Muthesis 5 353 370 An exposition of van Heijenoort s largely. unpublished work in proof theory especially his development of the falsifiability trees as a special case. of the Beth tableaux VA 18 1 6, ANELLIS IRVING H 1989 Russell and Engels Two approaches to a Hegelian philosophy of. mathematics Philosophiu Muthemuticu 2 2 151 179 Offers a comparison of quotations from the. writings of FRIEDRICH ENGELS and the pre 1900 writings of BERTRAND RUSSELL on various. mathematical subjects the nature of numbers and their creation infinity and the antinomies. underlying the differential calculus and its use geometry and the role of dialectics as a methodology. for mathematics The similarity of the views expressed reflect the Hegelian philosophies of the. respective authors IA 18 1 7, ANELLIS IRVING H 1990 The roots of mathematics education in Russia in the age of Peter the. Great Philosophiu Muthemuticu 2 5 23 55 A descriptive sketch is presented of mathematical. knowledge in RUSSIA during the 15th to 18th centuries as it developed in its cultural situation Special. consideration is given to the professional development of mathematics during the reign of PETER THE. GREAT 1682 1725 and to the origins and development of MATHEMATICAL EDUCATION in that. period IA 18 1 8, ARAKI HUZIHIRO 1990 Some of the legacy of JOHN VON NEUMANN in Physics Theory of. measurement quantum logic and von Neumann algebras in physics Pp 119 136 in 18 1 48 An. account of von Neumann s contributions to the mathematical THEORY OF MEASUREMENT in quantum. mechanics to QUANTUM LOGIC as opposed to continuous geometry to VON NEUMANN ALGEBRAS in. quantum field theory and to phase transitions in STATISTICAL MECHANICS Other papers in 18 1 48. dealing with von Neumann s legacy in PHYSICS are Arthur Jaffee Mathematics motivated by phys. ics pp 137 150 which concentrates on FUNCTION SPACES but discusses also the bad influence of. physics on mathematics and I E Segal The mathematical implications of fundamental physical. principles pp 151 178 DEZ 18 1 9, ASKEY RICHARD 1989 Handbooks of special functions Pp 369 391 in 18 1 34 An examination. of four handbooks on functions whose usefulness necessitated a compilation of results and a formal. development One section contrasts the handbook by E T Whittaker and B B Watson from 1902. and 1915 with three books resulting from the Bateman Project and led by ARTHUR ERD LYI 1953. Another section compares a handbook of 1964 with the first handbook of 1909 by E Jahnke and F. Emde There is a photo of A Erdelyi DEZ 18 1 10, ASKEY RICHARD A See 18 1 34 and 18 1 35. ASPRAY WILLIAM 1990 The origins of JOHN VON NEUMANN S theory of AUTOMATA Pp 289 309. in 18 1 48 An account of von Neumann s early experiences with scientific aspects of information It. traces his abiding interest in biological information processing and how it shaped his work in. 92 ABSTRACTS HM 18, computing technology and science The author concludes that unlike J P Eckert and J Fort ester. von Neumann s main interest in COMPUTERS was not in machine design per se DEZ. BAIRE RENJ 1990 Oeuures scientl ques Paris Gauthier Villars vi 569 pp Hardbound RenC. Baire published an enormous amount of work in the IO year period 1897 1907 before a debilitating. illness precluded further work This volume contains all of his works including a book on. discontinuous functions except a book on limits and his influential 2 volume masterpiece on the. general theory of ANALYSIS It also contains the prefaces to the 2 volume set and some of his. correspondence Articles by P Dugac and P Lelong are abstracted separately TOPOLOGY PHOTO. DW 18 1 12, BARREAU HERVE AND HARTHONG JACQUES 1989 La mathtmatique nonstandard. Histoire Philosophie Dossier Scientijqrre Nonstandard mcrthemcrticx History philosc phy. scientific cuse study Paris Editions du Centre National de la Recherche Scientifique 428 pp 195 F. Contains the following historical contributions J P Wurtz La naissance du calcul differentiel et le. probleme du statut des infiniment petits LEIBNIZ et Guillaume de L HOSPITAL H Barreau. LAZARE CARNOT et la conception leibnizienne de I infini mathematique J C Chirollet Le. continu mathematique du troisieme ordre chez HENRI POINCARI R Peiffer Reuter L infini. relatif chez Veronese et Natorp Un chapitre de la prehistoire de I analyse non standard H. Sinaceur Une origine du concept d analyse non standard J W Dauben ABRAHAM ROBINSON. Les infinitesimaux I analyse non standard et les fondements des mathematiques INFINITESIMALS. NONSTANDARD ANALYSIS DER 18 1 13, BARWISE JON See 18 1 95. BIAGIOLI 1990 The anthropology of incommensurabihty. MARIO Studies in History and, Philosophy 21 2 183 209 Incommensurability here refers to the failure of communication. between contending SCIENTIFIC PARADIGMS resulting from lack of a common linguistic base The. author extends the notion to include lack of communication based on differing views of social and. professional standing even rivalry for professional standing between differing schools of thought The. debate between GALILEO and Tuscan ARISTOTELIANS over BUOYANCY serves as a case study in which. lack of communication is based partly on differing views of the role of mathematics in scientific. discourse TB 18 1 14, BINDER CHRISTA 1990 Report on the First Austrian Symposium on the History of Mathematics. Mathematics stimulating or stimulated Hisroriu Muthemuticu 17 2 155 157 The symposium was. held at Neuhofen an der Ybbs in Lower Austria November 9 15 1986 A list of the 25 talks and three. written contributions is given DEZ 18 1 15, BIRKHOFF G 1989 Mathematics at HARVARD 1836 1944 Pp 3 58 in 18 1 35 Though many. other associated people are at least touched on the principal figures dealt with are BENJAMIN PEIRCE. W F OSGOOD M B HER J L COOLIDGE E V HUNTINGTON and G D BIRKHOFF The author. provides an account of his mathematical education and of Harvard s participation in four important. mathematics meetings Bibliography ACL 18 1 16, BOREL ARMAND 1989 The School of Mathematics at the Institute for Advanced Study Pp. 119 147 in 18 1 34 An account of the founding of the INSTITUTE FOR ADVANCED STUDY with. descriptions of the faculty members and all of the directors Some of the friction between the faculty. and the trustees and between the Institute and Princeton University is discussed The post 1952. account which is personal ends with a discussion of some historical questions worthy of study DEZ. BORODIN A I AND BUGAI A S 1987 Distinguished mathematicians biographical. dictionary directory second edition In Russian Kiev Radiansska shkola Brief accounts usually. HM 18 ABSTRACTS 93, one paragraph long of the life and most significant work of the world s leading mathematicians. presented in alphabetical order Longer accounts two or even three paragraphs long of the work are. given for a few of the most important stars such as EUCLID GAUSS and EULER A 1Zpage. bibliography of selected recommended readings in Russian is appended IA 18 1 18. Barr RAOUL 1989 The topological constraints on analysis Pp 527 542 in 18 1 35 Text of an. American Mathematical Society Mathematical Association of America meeting address of August 9. 1988 Work done during the author s stay at the Institute for Advanced Study at Princeton 1955 1957. K THEORY J P SERRE KODAIRA ACL 18 1 19, BROWDER WILLIAM 1989 Commentary on Topology Pp 347 351 in 18 1 35 Brief outline of. developments in ALGEBRAIC TOPOLOGY from the Princeton Bicentennial Conference in 1946 until the. middle 1980s JRW 18 1 20, BUGAI A S See 18 1 18, BURCHSTED FREDERIC F 1989 Sources for the history of mathematics in the Archives of. American Mathematics Pp 667 674 in 18 1 34 A description of the holdings of the ARCHIVES of. American Mathematics at the University of Texas They serve as a national repository for papers of. mathematicians and records of mathematical organizations DEZ 18 1 21. CALDI D B AND MOSTOW G D Eds 1990 Proceedings of the Gibbs symposium. Providence American Mathematical Society 321 pp Hardcover 65 Proceedings of a conference. held May 15 17 1989 at Yale University in honor of the 150th anniversary of the birth of JOSIAH. WILLARD GIBBS The articles of historical interest are M J Klein The PHYSICS of J Willard Gibbs in. his time A S Wightman On the prescience of J Willard Gibbs Michael E Fisher Phases and. phase diagrams Gibbs s legacy today B Widom Two ideas from Gibbs The entropy inequality. and the dividing surface C Fefferman Some mathematical problems arising from the work of. Gibbs V I Arnold CONTACT GEOMETRY The geometrical method of Gibbs s thermodynamics. Paul A Samuelson Gibbs in ECONOMICS Freeman J Dyson Banquet speech Willard Gibbs and. the teaching of science and Kenneth R Jells Gibbs and the art of THERMODYNAMICS The. Appendix contains the minutes of the 40th meeting of the Yale Physical Club DEZ 18 1 22. COHEN LEON W 1989 Recollections of a mathematical innocent in Washington Pp 449 453 in. 18 1 35 The author s experiences as an administrator for the National Science Foundation the. Conference Board of the Mathematical Sciences and the National Research Council from 1953 to. 1958 JRW 18 1 23, COIFMAN RONALD AND STRICHARTZ ROBERT 1989 The school of Antoni Zygmund Pp. 343 368 in 18 1 34 A brief biography of ANTONI ZYGMUND that presents his contributions to. harmonic analysis and lists his Ph D students as well as their students Zygmund spent most of his. career at the University of Chicago PHOTO DEZ 18 1 24. COLLIER JOHN D 1990 Two faces of Maxwell s demon reveal the nature of irreversibility Studies. in History and Philosophy ofScience 21 2 257 268 Explores the significance of a thought experiment. of MAXWELL relating to the SECOND LAW OF THERMODYNAMICS and ENTROPY TB 18 1 25. COOKE ROGER AND RICKEY V FREDERICK 1989 W E Story of Hopkins and Clark Pp 29 76. in 18 1 34 The article centers around W E STORY 1850 1930 The first part describes his role in. the founding of JOHNS HOPKINS University including his stormy relationship with JAMES JOSEPH. SYLVESTER The authors contradict the common myth that Sylvester alone founded the American. Journal of Mathematics The founding of CLARK University is then chronicled from its being the. leading light of institutionalized American mathematical research in the early 1890s until its demise in. 1919 The roles of HENRY TABER and JOSEPH DE PERROTT are discussed as is the work of SOLOMON. LEFSCHETZ There are several PHOTOS and a complete list of the dissertations at Clark between 1889. and 1921 DEZ 18 1 26, 94 ABSTRACTS HM 18, COWAN JACK D 1990 Von Neumann and neural networks Pp 243 274 in 18 1 48 An account. of the 1943 work on NEURAL NETWORKS by W McCulloch and W Pitts including a description of. contributions by JOHN VON NEUMANN and a review of subsequent developments DEZ 18 1 27. CROSSLEY JOHN N AND HENRY ALAN S 1990 Thus spake al Khw izmi A translation of the. text of Cambridge University Library ms Ii vi 5 Historiu Mathematics 17 2 103 131 The first. translation into English of a 13 CENTURY text located in the Cambridge University Library The. text which is traced back to AL KHWARIZMI deals with rules for manipulating Hindu Arabic. numerals An appendix lists corrections to both the manuscript and an earlier translation by K. VOGEL DEZ 18 1 28, DIAMOND CORA 1989 Wittgenstein s lectures on the foundations of mathematics Cambridge. 1939 Chicago Univ of Chicago Press 300 pp Paperback 12 95 A set of 31 2 hour lectures. delivered by LUDWIG WITTGENSTEIN based on notes taken by R B Bosanquet N Malcolm R. Rhees and Y Smythies The topics are the nature of mathematics the distinctions between. mathematical and everyday languages the truth of mathematical propositions consistency and. contradiction in formal systems and the logicism of FREGE and RUSSELL FOUNDATIONS DEZ. DONALDSON JAMES A 1989 Black Americans in mathematics Pp 449 469 in 18 1 34 Brief. mention of the achievements of Black doctoral students males from 1925 to 1950 and females from. 1949 to 1971 There is a discussion of some reasons why the full contributions of BLACK AMERICAN. MATHEMATICIANS have not been realized DEZ 18 1 30, DORWART HAROLD L 1989 Mathematics and YALE in the nineteen twenties Pp 87 97 in. 18 1 35 Personal recollections by the author JAMES PIERPONT ERNEST W BROWN PERCY F. SMITH ACL 18 1 31, DUGAC PIERRE 1990 RENI BAIRE 1874 1932 Pp 9 19 in 18 1 12 A brief biography. illness precluded further work This volume contains all of his works including a book on discontinuous functions except a book on limits and his influential 2 volume masterpiece on the general theory of ANALYSIS It also contains the prefaces to the 2 volume set and some of his correspondence Articles by P Dugac and P Lelong are

The first volume see HM 2 109 listed all Sierpinski s publications included a brief biography and contained papers on analysis and number theory The second see HM 2 327 included a discussion of his work on set theory and topology as well as relevant papers prior to 1930 The third

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