Fearless Symmetry: Exposing the Hidden Patterns of Numbers - New Edition
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 Úvariste 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.
What people are saying - Write a review
LibraryThing ReviewUser Review - ftong - LibraryThing
As a high school student, I found that this book struck an admirable balance between explaining in detail the simple concepts and explaining in essence the sweep of grand theorems. I will likely reread parts of this book for gems to contemplate. Read full review
LibraryThing ReviewUser Review - fpagan - LibraryThing
Enjoyable, technical treatment of a fragment of modern number theory involving group representations, Galois theory, elliptic curves, reciprocity laws, and other esoterica that went into the proof of ... Read full review
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Fearless Symmetry: Exposing the Hidden Patterns of Numbers
Avner Ash,Robert Gross
Limited preview - 2006