Collected Works of John Tate

Collected Works of John Tate

Author: Barry Mazur

Publisher: American Mathematical Soc.

Published: 2016-12-13

Total Pages: 746

ISBN-13: 0821890921

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In these volumes, a reader will find all of John Tate's published mathematical papers—spanning more than six decades—enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.


Collected Works of John Tate

Collected Works of John Tate

Author: John Tate

Publisher:

Published: 2016

Total Pages: 746

ISBN-13: 9781470430214

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In these volumes, a reader will find all of John Tate's published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation


Collected Works of John Tate

Collected Works of John Tate

Author: John Torrence Tate

Publisher:

Published: 2016

Total Pages: 786

ISBN-13: 9781470430238

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In these volumes, a reader will find all of John Tate's published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.


Collected Works of John Tate

Collected Works of John Tate

Author: Barry Mazur

Publisher: American Mathematical Soc.

Published: 2016-12-13

Total Pages: 786

ISBN-13: 082189093X

DOWNLOAD EBOOK

In these volumes, a reader will find all of John Tate's published mathematical papers—spanning more than six decades—enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.


Rational Points on Elliptic Curves

Rational Points on Elliptic Curves

Author: Joseph H. Silverman

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 292

ISBN-13: 1475742525

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The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book’s accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometry.


Class Field Theory

Class Field Theory

Author: Emil Artin

Publisher: American Mathematical Soc.

Published: 1967

Total Pages: 192

ISBN-13: 9780821844267

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This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory, and the authors accomplished this goal spectacularly: for more than 40 years since its first publication, the book has served as an ultimate source for many generations of mathematicians. In this revised edition, two mathematical additions complementing the exposition in the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.


Collected Works of William P. Thurston with Commentary

Collected Works of William P. Thurston with Commentary

Author: Benson Farb

Publisher: American Mathematical Society

Published: 2023-06-08

Total Pages: 629

ISBN-13: 1470474700

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William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume III contains William Thurston's papers on dynamics and computer science, and papers written for general audiences. Additional miscellaneous papers are also included, such as his 1967 New College undergraduate thesis, which foreshadows his later work.


Fourier Analysis on Number Fields

Fourier Analysis on Number Fields

Author: Dinakar Ramakrishnan

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 372

ISBN-13: 1475730853

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A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries -- technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.


The Geometry and Topology of Three-Manifolds

The Geometry and Topology of Three-Manifolds

Author: William P. Thurston

Publisher: American Mathematical Society

Published: 2023-06-16

Total Pages: 337

ISBN-13: 1470474743

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William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.