The Weil Conjectures

The Weil Conjectures

Author: Karen Olsson

Publisher: Macmillan + ORM

Published: 2019-07-16

Total Pages: 167

ISBN-13: 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

Published: 1999

Total Pages: 112

ISBN-13: 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

Published: 2013-12-14

Total Pages: 332

ISBN-13: 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

Published: 2003-12-15

Total Pages: 239

ISBN-13: 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.


Number Theory

Number Theory

Author: André Weil

Publisher: Birkhäuser

Published: 2013-06-29

Total Pages: 377

ISBN-13: 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.


At Home with André and Simone Weil

At Home with André and Simone Weil

Author: Sylvie Weil

Publisher: Northwestern University Press

Published: 2010-10-30

Total Pages: 193

ISBN-13: 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.


Andre Weil

Andre Weil

Author:

Publisher:

Published:

Total Pages:

ISBN-13:

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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.


The Artist and the Mathematician

The Artist and the Mathematician

Author: Amir D Aczel

Publisher: Basic Books

Published: 2009-04-29

Total Pages: 258

ISBN-13: 0786732881

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Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture. Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century -- both in mathematics and in other areas -- were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke -- because Bourbaki, one of the foremost mathematicians of his day -- never existed.


The Apprenticeship of a Mathematician

The Apprenticeship of a Mathematician

Author: Andre Weil

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 195

ISBN-13: 3034886349

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From reviews: "Extremely readable... 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)