Fermat's last theorem
 Responsibility
 Takeshi Saito ; translated from the Japanese by Masato Kuwata.
 Uniform Title
 Ferumayosō. English
 Language
 English.
 Edition
 English language edition.
 Publication
 Providence, Rhode Island : American Mathematical Society, 2013
 Physical description
 2 volumes ; 22 cm.
 Series
 Translations of mathematical monographs ; v. 243, 245.
 Iwanami series in modern mathematics.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA244 .S2513 2013 V.1  Unknown 
QA244 .S2513 2013 V.2  Unknown 
More options
Creators/Contributors
 Author/Creator
 Saitō, Takeshi, 1961
Contents/Summary
 Bibliography
 Includes bibliographical references and indexes.
 Contents

 [1] Basic tools
 [2] The proof
 Publisher's Summary
 This book, together with the companion volume, Fermat's Last Theorem: The Proof , presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics. Crucial arguments, including the socalled $3$$5$ trick, $R=T$ theorem, etc., are explained in depth. The proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois representations, deformation rings, modular curves over the integer rings, Galois cohomology, etc. The first four topics are crucial for the proof of Fermat's Last Theorem; they are also very important as tools in studying various other problems in modern algebraic number theory. The remaining topics will be treated in the second book to be published in the same series in 2014. In order to facilitate understanding the intricate proof, an outline of the whole argument is described in the first preliminary chapter, and more details are summarised in later chapters.
(source: Nielsen Book Data)9780821898482 20160612
Subjects
 Subject
 Fermat's last theorem.
 Number theory.
 Algebraic number theory.
 Number theory  Diophantine equations  Higher degree equations; Fermat's equation.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Elliptic curves over global fields.
 Number theory  Discontinuous groups and automorphic forms  Holomorphic modular forms of integral weight.
 Number theory  Discontinuous groups and automorphic forms  Galois representations.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Arithmetic aspects of modular and Shimura varieties.
 Algebraic number theory.
 Fermat's last theorem.
 Number theory.
Bibliographic information
 Beginning date
 2013
 Series
 Translations of mathematical monographs ; volume 243, 245
 Iwanami series in modern mathematics
 Note
 "First published 2009 by Iwanami Shoten, Publishers, Tokyo"t.p. verso.
 ISBN
 9780821898482 (v. 1 : pbk. : acidfree paper)
 0821898485 (v. 1 : pbk. : acidfree paper)