Fearless Symmetry: Exposing the Hidden Patterns of Numbers
By Avner Ash, Robert Gross
* Publisher: Princeton University Press
* Number Of Pages: 302
* Publication Date: 2006-05-22
* ISBN-10 / ASIN: 0691124922
* ISBN-13 / EAN: 9780691124926
Product Description:
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.
Summary: Many hours of pleasure
Rating: 5
Fearless symmetry is a beautiful piece of work by Avner Ash.
If you are interested in numbers and you have a reasonable knowledge of basic principles of math , you will enjoy this book and you are able to do some work for yourself at the excercises , which is still more enjoyable and will give you a deeper insight in the structure of numbers , without the need of being rigorous in theorems.
A lot of thanks to both the authors.
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