Weil, André 19061998
Overview
Works:  245 works in 1,091 publications in 9 languages and 12,091 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Author of introduction, Honoree, Other 
Classifications:  QA241, 512.7 
Publication Timeline
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Most widely held works about
André Weil
 The apprenticeship of a mathematician by André Weil( Book )
 At home with André and Simone Weil by Sylvie Weil( Book )
 Chez les Weil : André et Simone by Sylvie Weil( Book )
 Henri Cartan & André Weil mathématiciens du XXe siècle by Journées XUPS( Book )
 The story of maths by Marcus Du Sautoy( Visual )
 André Weil (19061998)( Book )
 En casa de los Weil : André y Simone by Sylvie Weil( Book )
 To infinity and beyond : [mathematics in modern times]( Visual )
 Henri Cartan, André Weil, mathématiciens du XXe siècle( Book )
 Weil, André( )
 Theosophical values and the theosophical life : what are they and how do we practice? by Ralph Hannon( Recording )
 Aurel Wintner papers by Aurel Wintner( )
 Symbolien metsässä : matemaattisia esseitä( Book )
 Weil, Andre : mathematics( )
 André Weil, 6 May 19066 August 1998 by Armand Borel( Book )
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Most widely held works by
André Weil
Basic number theory by
André Weil(
Book
)
89 editions published between 1967 and 2014 in 4 languages and held by 1,515 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 196162; 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 longforgotten manuscript by ChevaIley, of prewar 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
89 editions published between 1967 and 2014 in 4 languages and held by 1,515 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 196162; 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 longforgotten manuscript by ChevaIley, of prewar 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
Number theory : an approach through history from Hammurapi to Legendre by
André Weil(
Book
)
49 editions published between 1983 and 2007 in 4 languages and held by 1,332 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. André Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirtysix centuries of arithmetical work — from an Old Babylonian tablet, datable to the time of Hammurapi to Legendre’s Essai sur la Théorie 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 theorists…chose 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 theory…is perhaps unique in the enthusiasm it has inspired. Mathematical Reviews
49 editions published between 1983 and 2007 in 4 languages and held by 1,332 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. André Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirtysix centuries of arithmetical work — from an Old Babylonian tablet, datable to the time of Hammurapi to Legendre’s Essai sur la Théorie 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 theorists…chose 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 theory…is perhaps unique in the enthusiasm it has inspired. Mathematical Reviews
Foundations of algebraic geometry by
André Weil(
Book
)
41 editions published between 1946 and 2012 in English and Undetermined and held by 782 WorldCat member libraries worldwide
The manuscript of the first edition was completed in 1944. In this revision, the first six chapters of the first edition have been reproduced, and the following chapters rewritten completely. The book is not the last word on the topics it deals with, but the newly written chapters include material which was not to be found except in scattered form, in the literature of the last fifteen years.  Foreword
41 editions published between 1946 and 2012 in English and Undetermined and held by 782 WorldCat member libraries worldwide
The manuscript of the first edition was completed in 1944. In this revision, the first six chapters of the first edition have been reproduced, and the following chapters rewritten completely. The book is not the last word on the topics it deals with, but the newly written chapters include material which was not to be found except in scattered form, in the literature of the last fifteen years.  Foreword
Number theory for beginners by
André Weil(
Book
)
27 editions published between 1979 and 2010 in 3 languages and held by 706 WorldCat member libraries worldwide
In the summer quarter of 1949, I taught a tenweeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "Alge bra 251". What made it possible, in the form which I had planned for it, was the fact that Max Rosenlicht, now of the University of California at Berkeley, was then my assistant. According to his recollection, "this was the first and last time, in the his tory of the Chicago department of mathematics, that an assistant worked for his salary". The course consisted of two lectures a week, supplemented by a weekly "laboratory period" where students were given exercises which they were. asked to solve under Max's supervision and (when necessary) with his help. This idea was borrowed from the "Praktikum" of German universi ties. Being alien to the local tradition, it did not work out as well as I had hoped, and student attendance at the problem sessions so on became desultory. v vi Weekly notes were written up by Max Rosenlicht and issued week by week to the students. Rather than a literal reproduction of the course, they should be regarded as its skeleton; they were supplemented by references to stan dard textbooks on algebra. Max also contributed by far the larger part of the exercises. None of ,this was meant for publication
27 editions published between 1979 and 2010 in 3 languages and held by 706 WorldCat member libraries worldwide
In the summer quarter of 1949, I taught a tenweeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "Alge bra 251". What made it possible, in the form which I had planned for it, was the fact that Max Rosenlicht, now of the University of California at Berkeley, was then my assistant. According to his recollection, "this was the first and last time, in the his tory of the Chicago department of mathematics, that an assistant worked for his salary". The course consisted of two lectures a week, supplemented by a weekly "laboratory period" where students were given exercises which they were. asked to solve under Max's supervision and (when necessary) with his help. This idea was borrowed from the "Praktikum" of German universi ties. Being alien to the local tradition, it did not work out as well as I had hoped, and student attendance at the problem sessions so on became desultory. v vi Weekly notes were written up by Max Rosenlicht and issued week by week to the students. Rather than a literal reproduction of the course, they should be regarded as its skeleton; they were supplemented by references to stan dard textbooks on algebra. Max also contributed by far the larger part of the exercises. None of ,this was meant for publication
Elliptic functions according to Eisenstein and Kronecker by
André Weil(
Book
)
35 editions published between 1975 and 2009 in 3 languages and held by 658 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 wideranging 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 EisensteinKroneckerWeil 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
35 editions published between 1975 and 2009 in 3 languages and held by 658 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 wideranging 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 EisensteinKroneckerWeil 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
Dirichlet series and automorphic forms. Lezioni Fermiane by
André Weil(
Book
)
29 editions published between 1971 and 2006 in 3 languages and held by 626 WorldCat member libraries worldwide
29 editions published between 1971 and 2006 in 3 languages and held by 626 WorldCat member libraries worldwide
L'intégration dans les groupes topologiques et ses applications by
André Weil(
Book
)
69 editions published between 1938 and 2015 in 5 languages and held by 588 WorldCat member libraries worldwide
69 editions published between 1938 and 2015 in 5 languages and held by 588 WorldCat member libraries worldwide
Œuvres scientifiques = Collected papers by
André Weil(
Book
)
56 editions published between 1979 and 2018 in 6 languages and held by 491 WorldCat member libraries worldwide
Features a number of mathematical papers of fundamental significance
56 editions published between 1979 and 2018 in 6 languages and held by 491 WorldCat member libraries worldwide
Features a number of mathematical papers of fundamental significance
Adeles and algebraic groups by
André Weil(
Book
)
19 editions published between 1961 and 1982 in English and German and held by 444 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
19 editions published between 1961 and 1982 in English and German and held by 444 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
Introduction à l'étude des variétés kählériennes by
André Weil(
Book
)
42 editions published between 1957 and 2012 in 5 languages and held by 437 WorldCat member libraries worldwide
42 editions published between 1957 and 2012 in 5 languages and held by 437 WorldCat member libraries worldwide
Courbes algébriques et variétés abéliennes by
André Weil(
Book
)
14 editions published in 1971 in 3 languages and held by 219 WorldCat member libraries worldwide
14 editions published in 1971 in 3 languages and held by 219 WorldCat member libraries worldwide
The apprenticeship of a mathematician by
André Weil(
Book
)
40 editions published between 1990 and 2013 in 5 languages and held by 199 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)
40 editions published between 1990 and 2013 in 5 languages and held by 199 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)
Sur les espaces à structure uniforme et sur la topologie générale by
André Weil(
Book
)
10 editions published between 1937 and 1938 in French and held by 184 WorldCat member libraries worldwide
10 editions published between 1937 and 1938 in French and held by 184 WorldCat member libraries worldwide
Arithmétique et géométrie sur les variétés algébriques by
André Weil(
Book
)
6 editions published in 1935 in French and held by 149 WorldCat member libraries worldwide
6 editions published in 1935 in French and held by 149 WorldCat member libraries worldwide
Sur les courbes algébriques et les variétés qui s'en déduisent by
André Weil(
Book
)
6 editions published between 1948 and 1951 in French and held by 144 WorldCat member libraries worldwide
6 editions published between 1948 and 1951 in French and held by 144 WorldCat member libraries worldwide
Variétés abéliennes et courbes algébriques by
André Weil(
Book
)
8 editions published between 1948 and 1984 in 3 languages and held by 140 WorldCat member libraries worldwide
8 editions published between 1948 and 1984 in 3 languages and held by 140 WorldCat member libraries worldwide
Zahlentheorie : ein Gang durch die Geschichte von Hammurapi bis Legendre by
André Weil(
Book
)
14 editions published between 1983 and 2016 in 4 languages and held by 125 WorldCat member libraries worldwide
14 editions published between 1983 and 2016 in 4 languages and held by 125 WorldCat member libraries worldwide
Geometry and number theory : a volume in honor of André Weil(
Book
)
7 editions published in 1983 in English and held by 124 WorldCat member libraries worldwide
7 editions published in 1983 in English and held by 124 WorldCat member libraries worldwide
Fibre spaces in algebraic geometry by
André Weil(
Book
)
16 editions published between 1952 and 1955 in English and Undetermined and held by 122 WorldCat member libraries worldwide
16 editions published between 1952 and 1955 in English and Undetermined and held by 122 WorldCat member libraries worldwide
Adeles and algebraic groups : lectures by
André Weil(
Book
)
13 editions published between 1961 and 1979 in English and Undetermined and held by 122 WorldCat member libraries worldwide
A web version in pdf format of the printed version of the title
13 editions published between 1961 and 1979 in English and Undetermined and held by 122 WorldCat member libraries worldwide
A web version in pdf format of the printed version of the title
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Audience Level
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Kids  General  Special 
Related Identities
 Rosenlicht, Max Other
 Gage, Jennifer C. Translator
 Weil, Simone 19091943 Author
 Bernoulli, Jakob 16541705 Author
 Weil, Sylvie
 Weil family
 Ivry, Benjamin
 Kummer, Ernst Eduard Author
 Truesdell, C. (Clifford) 19192000 Editor
 Serre, JeanPierre 1926
Useful Links
Associated Subjects
Abelian varieties Adeles Algebra Algebraic fields Algebraic functions Algebraic varieties Authors, French Bourbaki, Nicolas Cantor, Georg, Cartan, Henri, Class field theory Cohen, Paul J., Continuum hypothesis Curves, Algebraic Dirichlet series Elliptic functions Families Fiber spaces (Mathematics) Forms, Quadratic Forms (Mathematics) France Functions, Abelian Generalized spaces Geometry Geometry, Algebraic Gödel, Kurt Grothendieck, A.(Alexandre) Group theory Hilbert, David, Hilbert's tenth problem Hindu mathematics Incompleteness theorems Influence (Literary, artistic, etc.) Linear algebraic groups Mathematicians Mathematics Mathematics, Arab Mathematics, Chinese Number theory Poincaré, Henri, Point set theory Riemann hypothesis Robinson, Julia, Topological groups Topology United States Weil, André, Weil, Simone, Weil, Sylvie Weil family
Covers
Alternative Names
André Weil franca matematikisto
André Weil francouzský matematik ze skupiny Bourbaki
André Weil Frans wiskundige (19061998)
André Weil französischer Mathematiker
André Weil French mathematician
André Weil matemàtic francès
André Weil matemático francés
André Weil matematico francese
André Weil matematyk francuski
André Weil mathématicien français
Vejl', A.
Vejl', Andrè.
Weil, A.
Weil, A. 1906
Weil, A. 19061998
Weil, A. (André)
Weil, A. (André), 1906
Weil, A. (André), 19061998
Weil Andre
Weil, André, 1906
Weil, André Abraham.
Weil André Abraham 19061998
Андре Вейл
Андре Вейль
Андре Вейль французский математик
Вейль, А.
Вейль Андре
Вейль, Андре 19061998
Вейль, Андрэ
Անդրե Վեյլ
אנדרה וייל
אנדרה וייל מתמטיקאי צרפתי
آندره وی
앙드레 베유
アンドレ・ヴェイユ
アンドレ・ヴェイユ フランスの数学者
ヴェイユ, アンドレ
安德烈·韦伊
安德烈·韦伊 法國數學家
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