Algebraic Number Theory and Fermat's Last Theorem: Third Edition / Edition 3

Algebraic Number Theory and Fermat's Last Theorem: Third Edition / Edition 3

by Ian Stewart, David Tall
     
 

ISBN-10: 1568811195

ISBN-13: 9781568811192

Pub. Date: 12/01/2001

Publisher: Taylor & Francis

First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it is also

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Overview

First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it is also eminently suited as a text for self-study.

Product Details

ISBN-13:
9781568811192
Publisher:
Taylor & Francis
Publication date:
12/01/2001
Edition description:
Subsequent
Pages:
334
Product dimensions:
6.18(w) x 9.25(h) x (d)

Related Subjects

Table of Contents

Preface
Index of Notation
The Origins of Algebraic Number Theory1
IAlgebraic Methods7
1Algebraic Background9
2Algebraic Numbers35
3Quadratic and Cyclotomic Fields61
4Factorization into Irreducibles73
5Ideals101
IIGeometric Methods127
6Lattices129
7Minkowski's Theorem139
8Geometric Representation of Algebraic Numbers145
9Class-Group and Class-Number151
IIINumber-Theoretic Applications167
10Computational Methods169
11Kummer's Special Case of Fermat's Last Theorem183
12The Path to the Final Breakthrough201
13Elliptic Curves213
14Elliptic Functions235
IVAppendices271
AQuadratic Residues273
BDirichlet's Units Theorem293
Bibliography303
Index309

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