Fearless Symmetry : : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Ash, Avner,; Gross, Robert,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2008]; ©2008
• Year of Publication: 2008
• Edition: New edition with a New preface by the authors
• Language: English
• Physical Description: 1 online resource (312 p.) :; 1 halftone. 2 line illus.

Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns a...

Table of Contents

• Frontmatter
• Contents
• Foreword
• Preface To The Paperback Edition
• Preface
• Acknowledgments
• Greek Alphabet
• Part One. Algebraic Preliminaries
• Chapter 1. Representations
• Chapter 2. Groups
• Chapter 3. Permutations
• Chapter 4. Modular Arithmetic
• Chapter 5. Complex Numbers
• Chapter 6. Equations and Varieties
• Chapter 7. Quadratic Reciprocity
• Part Two. Galois Theory and Representations
• Chapter 8. Galois Theory
• Chapter 9. Elliptic Curves
• Chapter 10. Matrices
• Chapter 11. Groups of Matrices
• Chapter 12. Group Representations
• Chapter 13. The Galois Group Of A Polynomial
• Chapter 14. The Restriction Morphism
• Chapter 15. The Greeks Had a Name for it
• Chapter 16. Frobenius
• Part Three. Reciprocity Laws
• Chapter 17. Reciprocity Laws
• Chapter 18. One- And Two-Dimensional Representations
• Chapter 19. Quadratic Reciprocity Revisited
• Chapter 20. A Machine for Making Galois Representations
• Chapter 21. A Last Look at Reciprocity
• Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations
• Chapter 23. Retrospect
• Bibliography
• Index