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 evariste 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."
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