Fearless Symmetry

Exposing the Hidden Patterns of Numbers

Avner Ash, Robert Gross

272 pages, parution le 30/06/2006

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Résumé

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 and the ingenious techniques mathematicians use to uncover them.

Hidden symmetries were first discovered nearly two hundred years ago by French mathematician Évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.

The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

L'auteur - Avner Ash

Avner Ash is Professor of Mathematics at Boston College. He is the author (with D. Mumford, M. Rapoport, and Y. Tai) of Smooth Compactification of Locally Symmetric Varieties.

L'auteur - Robert Gross

Robert Gross is Associate Professor of Mathematics at Boston College.

Sommaire

Foreword by Barry Mazur
Preface
Acknowledgments
Greek Alphabet
Algebraic Preliminaries
Galois Theory and Representations
Reciprocity Laws
Bibliography
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Avner Ash, Robert Gross
Parution	30/06/2006
Nb. de pages	272
Format	16 x 24
Couverture	Relié
Poids	656g
Intérieur	Noir et Blanc
EAN13	9780691124926
ISBN13	978-0-691-12492-6