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Andre Weil

Andre Weil
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Profiles French mathematician Andre Weil (1906-1998), with information provided by the University of Saint Andrews School of Mathematics and Statistics in Scotland as part of the MacTutor History of Mathematics Archive. Weil's research was in number theory, algebraic geometry and group theory.


André Weil, 1906-1998

André Weil, 1906-1998
Author: François Digne
Publisher:
Total Pages: 92
Release: 1999
Genre: Geometry, Algebraic
ISBN:

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The Weil Conjectures

The Weil Conjectures
Author: Karen Olsson
Publisher: Macmillan + ORM
Total Pages: 167
Release: 2019-07-16
Genre: Biography & Autobiography
ISBN: 0374719632

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A New York Times Editors' Pick and Paris Review Staff Pick "A wonderful book." --Patti Smith "I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge." --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding.


Elliptic Functions According to Eisenstein and Kronecker

Elliptic Functions According to Eisenstein and Kronecker
Author: Andre Weil
Publisher: Springer Science & Business Media
Total Pages: 112
Release: 1999
Genre: Mathematics
ISBN: 9783540650362

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Drawn from the Foreword: (...) On the other hand, since much of the material in this volume seems suitable for inclusion in elementary courses, it may not be superfluous to point out that it is almost entirely self-contained. Even the basic facts about trigonometric functions are treated ab initio in Ch. II, according to Eisenstein's method. It would have been both logical and convenient to treat the gamma -function similarly in Ch. VII; for the sake of brevity, this has not been done, and a knowledge of some elementary properties of T(s) has been assumed. One further prerequisite in Part II is Dirichlet's theorem on Fourier series, together with the method of Poisson summation which is only a special case of that theorem; in the case under consideration (essentially no more than the transformation formula for the theta-function) this presupposes the calculation of some classical integrals. (...) As to the final chapter, it concerns applications to number theory (...).


Basic Number Theory.

Basic Number Theory.
Author: Andre Weil
Publisher: Springer Science & Business Media
Total Pages: 332
Release: 2013-12-14
Genre: Mathematics
ISBN: 3662059789

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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.


History of the Mathematical Sciences

History of the Mathematical Sciences
Author: Ivor Grattan-Guiness
Publisher: Springer
Total Pages: 239
Release: 2003-12-15
Genre: Mathematics
ISBN: 9386279169

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Papers presented at the International Conference on History of Mathematical Sciences, held at New Delhi during 20-23 December 2001.


In Memorian

In Memorian
Author: Henri Gillet
Publisher:
Total Pages: 277
Release: 2001
Genre:
ISBN:

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Number Theory

Number Theory
Author: André Weil
Publisher: Birkhäuser
Total Pages: 377
Release: 2013-06-29
Genre: Mathematics
ISBN: 9781489904324

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This book presents a historical overview of number theory. It examines texts that span some thirty-six centuries of arithmetical work, from an Old Babylonian tablet to Legendre’s Essai sur la Théorie des Nombres, written in 1798. Coverage employs a historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. The book also takes the reader into the workshops of four major authors of modern number theory: Fermat, Euler, Lagrange and Legendre and presents a detailed and critical examination of their work.


Basic Number Theory

Basic Number Theory
Author: Andre Weil
Publisher: Springer Science & Business Media
Total Pages: 335
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642619452

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From the reviews: "L.R. Shafarevich showed me the first edition [...] and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite constant fields, that appeared in book form." Zentralblatt MATH


At Home with André and Simone Weil

At Home with André and Simone Weil
Author: Sylvie Weil
Publisher: Northwestern University Press
Total Pages: 193
Release: 2010-10-30
Genre: Biography & Autobiography
ISBN: 0810127040

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Translated from the French by Benjamin Ivry, Simone Weil was one of the twentieth century's most original philosopher-critics, and as a result her legacy has been claimed by many. This memoir by Weil's niece is strong-willed and incisive and as close as we are likely to get to the real Simone Weil. Born into a freethinking Jewish family, Weil contributed many articles to Socialist and Communist journals and was active in the Spanish Civil War until her health failed. In 1940 she became strongly attracted to Roman Catholicism and the Passion of Christ. Most of her works, published posthumously, continue to inform debates in ethics, philosophy, and spirituality surrounding questions of sacrifice, asceticism, and the virtues of manual labor. Massively influential, Weil's writings were widely praised by such readers as Albert Camus, T. S. Eliot, Simone de Beauvoir, Pope John XXIII, Czeslaw Milosz, and Susan Sontag. Sylvie Weil recovers the deeply Jewish nature of Simone's thinking and details how her preoccupations with charity and justice were fully in the tradition of tzedakah, the Jewish religious obligation toward these actions. Using previously unpublished family correspondence and conversations, Sylvie Weil offers a more authentically personal portrait of her aunt than previous biographers have provided. At Home with Andr and Simone Weil illuminates Simone's relationship to her family, especially to her brother, the great Princeton mathematician Andr Weil. A clear-eyed and uncompromising memoir of her family, At Home with Andr and Simone Weil is a fresh look at the noted French philosopher, mystic, and social activist.