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Edition | Availability |
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1
Fearless symmetry: exposing the hidden patterns of numbers
2008, Princeton University Press
Paperback
in English
0691138710 9780691138718
|
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2
Fearless symmetry: exposing the hidden patterns of numbers
2006, Princeton University Press
Hardcover
in English
0691124922 9780691124926
|
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Libraries near you:
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Book Details
Table of Contents
Foreword
Page xv
Preface to the Paperback Edition
Page xxi
Preface
Page xxv
Acknowledgements
Page xxxi
Greek Alphabet
Page xxxiii
Part I.
Algebraic Preliminaries
1.
Representations
Page 3
2.
Groups
Page 13
3.
Permutations
Page 21
4.
Modular Arithmetic
Page 31
5.
Complex Numbers
Page 42
6.
Equations and Varieties
Page 49
7.
Quadratic Reciprocity
Page 67
Part II.
Galois Theory and Representations
8.
Galois Theory
Page 87
9.
Elliptic Curves
Page 103
10.
Matrices
Page 114
11.
Groups of Matrices
Page 124
12.
Group Representations
Page 135
13.
The Galois Group of a Polynomial
Page 149
14.
The Restriction Morphism
Page 157
15.
The Greeks Had a Name for It
Page 162
16.
Frobenius
Page 177
Part III.
Reciprocity Laws
17.
Reciprocity Laws
Page 193
18.
One- and Two-Dimensional Representations
Page 200
19.
Quadratic Reciprocity Revisited
Page 216
20.
A Machine for Making Galois Representations
Page 225
21.
A Last Look at Reciprocity
Page 233
22.
Fermat's Last Theorem and Generalized Fermat Equations
Page 242
23.
Retrospect
Page 257
Bibliography
Page 265
Index
Page 269
Edition Notes
Originally published: 2006.
Fifth printing, and first paperback printing, with a new preface by the authors, 2008.
Includes bibliographical references and index.
Classifications
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Feedback?February 27, 2020 | Edited by ImportBot | import existing book |
February 19, 2020 | Edited by NicolasKaiser | add author |
February 18, 2020 | Edited by NicolasKaiser | hardcover version |
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December 10, 2009 | Created by WorkBot | add works page |