Since it was first published three decades ago, Excursions Into Mathematics has been one of the most popular mathematical books written for a general audience. Taking the reader for short "excursions" into several specific disciplines of mathematics, it makes mathematical concepts accessible to a wide audience. The Millennium Edition is updated with current research and new solutions to outstanding problems that have been discovered since the last edition was printed, such as the solution to the well-known "four-color problem." Excursions Into Mathematics: The Millennium Edition is an exciting revision of the original, much-loved classic. Everyone with an interest in mathematics should read this book.
"It is a cross between providing mathematical challenge and a cultural placement of some famous problems. I hope it will persuade non-mathematicians that mathematics is worthwhile, and provide mathematicians with some background to the personalities and history of the main stream, and, equally as important, to the quiet little-visited back-waters of their subject." -Tony Crilly, The Mathematical Gazette , March 2002
CHAPTER 1 EULER’S FORMULA FOR POLYHEDRA, AND RELATED TOPICS, , CHAPTER 2 THE SEARCH FOR PERFECT NUMBERS, CHAPTER 3 WHAT IS AREA?, CHAPTER 4 SOME EXOTIC GEOMETRIES, CHAPTER 5 GAMES, CHAPTER 6 WHAT’S IN A NAME?, SYMBOLS