Mathematics Is Not a Spectator Sport

It is often said that mathematics and music go together, and that people with a special aptitude for mathematics often have similar gifts in music. Some music is very profound, and listeners find that there is far more in it than they appreciated at a first hearing. A similar point can be made about an understanding of mathematics.

This book introduces the reader to various topics in mathematics and is intended for precocious high school students and college students just beginning their s...