WorldCat Identities

Weil, André 1906-1998

Works: 128 works in 798 publications in 9 languages and 10,818 library holdings
Genres: History  Biography 
Roles: Author, Editor, Author of introduction, Honoree
Classifications: QA241, 512.7
Publication Timeline
Most widely held works by André Weil
Number theory : an approach through history from Hammurapi to Legendre by André Weil( Book )

58 editions published between 1983 and 2014 in 5 languages and held by 1,354 WorldCat member libraries worldwide

Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematics." Indeed some of the most complex conventions of the mathematical mind have evolved from the study of basic problems of number theory. Andr Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirty-six centuries of arithmetical work from an Old Babylonian tablet, datable to the time of Hammurapi to Legendres Essai sur la Thorie des Nombres (1798). Motivated by a desire to present the substance of his field to the educated reader, Weil employs an historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. In the course of his study Weil accompanies the reader into the workshops of four major authors of modern number theory (Fermat, Euler, Lagrange and Legendre) and there he conducts a detailed and critical examination of their work. Enriched by a broad coverage of intellectual history, Number Theory represents a major contribution to the understanding of our cultural heritage. ----- A very unusual book combining thorough philological exactness, keen observation, apt comments of the essential points, picturesque fantasy, enthusiastic love of the subject, and brilliant literary style: a romantic novel of documents. It is both number theory and its history in an inseparable oneness, helping us understand the very roots and the first big stage of progress of this discipline. The author, one of the most prominent number theoristschose to give us a broad perspective of the birth of modern number theory.--Periodica Mathematica Hungaria The volume under review ... a discursive, expository, leisurely peek over the shoulders of several great authors in number theoryis perhaps unique in the enthusiasm it has inspired. --Mathematical Reviews
Basic number theory by André Weil( Book )

53 editions published between 1967 and 2014 in 4 languages and held by 1,212 WorldCat member libraries worldwide

Itpzf}JlOV, li~oxov uoq>ZUJlCJ. 7:WV Al(JX., llpoj1. AE(Jj1. The first part of this volume is based on a course taught at Princeton University in 1961-62; at that time, an excellent set ofnotes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by ChevaIley, of pre-war vintage (forgotten, that is to say, both by me and by its author) which, to my taste at least, seemed to have aged very welt It contained abrief but essentially com plete account of the main features of c1assfield theory, both local and global; and it soon became obvious that the usefulness of the intended volume would be greatly enhanced if I inc1uded such a treatment of this topic. It had to be expanded, in accordance with my own plans, but its outline could be preserved without much change. In fact, I have adhered to it rather c10sely at some critical points
Foundations of algebraic geometry by André Weil( Book )

32 editions published between 1946 and 2000 in English and held by 792 WorldCat member libraries worldwide

Number theory for beginners by André Weil( Book )

24 editions published between 1979 and 2010 in 4 languages and held by 657 WorldCat member libraries worldwide

Elliptic functions according to Eisenstein and Kronecker by André Weil( Book )

39 editions published between 1975 and 2009 in 3 languages and held by 596 WorldCat member libraries worldwide

"As a contribution to the history of mathematics, this is a model of its kind. While adhering to the basic outlook of Eisenstein and Kronecker, it provides new insight into their work in the light of subsequent developments, right up to the present day. As one would expect from this author, it also contains some pertinent comments looking into the future. It is not however just a chapter in the history of our subject, but a wide-ranging survey of one of the most active branches of mathematics at the present time. The book has its own very individual flavour, reflecting a sort of combined Eisenstein-Kronecker-Weil personality. Based essentially on Eisenstein's approach to elliptic functions via infinite series over lattices in the complex plane, it stretches back to the very beginnings on the one hand and reaches forward to some of the most recent research work on the other. (...) The persistent reader will be richly rewarded." A. Fröhlich, Bulletin of the London Mathematical Society, 1978
Adeles and algebraic groups by André Weil( Book )

37 editions published between 1961 and 1982 in English and German and held by 506 WorldCat member libraries worldwide

This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L. Siegels work on quadratic forms. These notes have been supplemented by an extended bibliography, and by Takashi Onos brief survey of subsequent research. Serving as an introduction to the subject, these notes may also provide stimulation for further research
L'intégration dans les groupes topologiques et ses applications by André Weil( Book )

40 editions published between 1938 and 2015 in 5 languages and held by 467 WorldCat member libraries worldwide

Dirichlet series and automorphic forms. Lezioni Fermiane by André Weil( Book )

27 editions published in 1971 in 3 languages and held by 466 WorldCat member libraries worldwide

Introduction à l'étude des variétés kählériennes by André Weil( Book )

32 editions published between 1957 and 2010 in 5 languages and held by 409 WorldCat member libraries worldwide

Discontinuous subgroups of classical groups; lectures [given at] the University of Chicago by André Weil( Book )

28 editions published in 1958 in English and Undetermined and held by 227 WorldCat member libraries worldwide

Courbes algébriques et variétés abéliennes by André Weil( Book )

7 editions published in 1971 in French and held by 202 WorldCat member libraries worldwide

Sur les espaces à structure uniforme et sur la topologie générale by André Weil( Book )

20 editions published between 1937 and 1938 in 3 languages and held by 193 WorldCat member libraries worldwide

Variétés abéliennes et courbes algébriques by André Weil( Book )

15 editions published between 1948 and 1984 in 3 languages and held by 193 WorldCat member libraries worldwide

Sur les courbes algébriques et les variétés qui s'en déduisent by André Weil( Book )

12 editions published between 1948 and 1951 in French and held by 166 WorldCat member libraries worldwide

Arithmétique et géométrie sur les variétés algébriques by André Weil( Book )

11 editions published in 1935 in French and held by 156 WorldCat member libraries worldwide

Essais historiques sur la théorie des nombres by André Weil( Book )

10 editions published in 1975 in 3 languages and held by 133 WorldCat member libraries worldwide

Fibre spaces in algebraic geometry by André Weil( Book )

16 editions published between 1952 and 1955 in English and held by 121 WorldCat member libraries worldwide

The apprenticeship of a mathematician by André Weil( Book )

18 editions published between 1991 and 2004 in 4 languages and held by 72 WorldCat member libraries worldwide

"Extremely readable recollections of the author ... A rare testimony of a period of the history of 20th century mathematics. Includes very interesting recollections on the author's participation in the formation of the Bourbaki Group, tells of his meetings and conversations with leading mathematicians, reflects his views on mathematics. The book describes an extraordinary career of an exceptional man and mathematicians. Strongly recommended to specialists as well as to the general public." EMS Newsletter (1992) "This excellent book is the English edition of the author's autobiography. ... This very enjoyable reading is recommended to all mathematicians." Acta Scientiarum Mathematicarum (1992)
Der Briefwechsel von Jacob Bernoulli by Jakob Bernoulli( Book )

9 editions published in 1993 in 3 languages and held by 68 WorldCat member libraries worldwide

Oeuvres scientifiques = ollected papers by André Weil( Book )

19 editions published between 1978 and 2009 in 5 languages and held by 46 WorldCat member libraries worldwide

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Number theory : an approach through history from Hammurapi to Legendre
Alternative Names
André Weil Frans wiskundige (1906-1998)

André Weil französischer Mathematiker

André Weil French mathematician

André Weil matematico francese

André Weil matematyk francuski

Vejl', A.

Vejl', Andrè.

Weil, A.

Weil, A. 1906-

Weil, A. 1906-1998

Weil, A. (André)

Weil, A. (André), 1906-

Weil, A. (André), 1906-1998

Weil, André

Weil, Andre 1906-1998

Weil, André Abraham

Weil André Abraham 1906-1998

Андре Вейл

Андре Вейль

Вейль, А.

Вейль, Андре 1906-1998

Вейль, Андрэ

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אנדרה וייל

آندره وی

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Basic number theoryElliptic functions according to Eisenstein and KroneckerDirichlet series and automorphic forms. Lezioni FermianeThe apprenticeship of a mathematicianDer Briefwechsel von Jacob BernoulliOeuvres scientifiques = ollected papersAt home with André and Simone Weil