Fearless symmetry
Subtitle: exposing the hidden patterns of numbers
By: Avner Ash and Robert Gross ; with a new preface by the authors.
Contributors: Gross, Robert, 1959-
Publisher: Princeton University Press
Published: 2008
Place of publication: Princeton, N.J
Language: eng
Format: Paperback
Number of pages: 272
ISBN-13: 9780691138718
Subjects: Number theory.
Notes: Originally published: 2006.
Fifth printing, and first paperback printing, with a new preface by the authors, 2008.
Includes bibliographical references and index.
Table of contents: title: Foreword
pagenum: xv; title: Preface to the Paperback Edition
pagenum: xxi; title: Preface
pagenum: xxv; title: Acknowledgements
pagenum: xxxi; title: Greek Alphabet
pagenum: xxxiii; label: Part I
title: Algebraic Preliminaries; label: 1
title: Representations
pagenum: 3; label: 2
title: Groups
pagenum: 13; label: 3
title: Permutations
pagenum: 21; label: 4
title: Modular Arithmetic
pagenum: 31; label: 5
title: Complex Numbers
pagenum: 42; label: 6
title: Equations and Varieties
pagenum: 49; label: 7
title: Quadratic Reciprocity
pagenum: 67; label: Part II
title: Galois Theory and Representations; label: 8
title: Galois Theory
pagenum: 87; label: 9
title: Elliptic Curves
pagenum: 103; label: 10
title: Matrices
pagenum: 114; label: 11
title: Groups of Matrices
pagenum: 124; label: 12
title: Group Representations
pagenum: 135; label: 13
title: The Galois Group of a Polynomial
pagenum: 149; label: 14
title: The Restriction Morphism
pagenum: 157; label: 15
title: The Greeks Had a Name for It
pagenum: 162; label: 16
title: Frobenius
pagenum: 177; label: Part III
title: Reciprocity Laws; label: 17
title: Reciprocity Laws
pagenum: 193; label: 18
title: One- and Two-Dimensional Representations
pagenum: 200; label: 19
title: Quadratic Reciprocity Revisited
pagenum: 216; label: 20
title: A Machine for Making Galois Representations
pagenum: 225; label: 21
title: A Last Look at Reciprocity
pagenum: 233; label: 22
title: Fermat's Last Theorem and Generalized Fermat Equations
pagenum: 242; label: 23
title: Retrospect
pagenum: 257; title: Bibliography
pagenum: 265; title: Index
pagenum: 269