A

book written by

John H. Conway and

Richard K. Guy in 1996.

ISBN 0-387-97993-X. In the

preface, as should be expected, they mention

Deuteronomy and

Joshua as possible

sequels, pending the success of this book.

As a book it is fairly well-ordered, yet also sporadic.

The Pythagorean theorem is discussed, not in a chapter titled "Famous Families of Numbers," but rather in one named "Further Fruitfulness of Fractions." It seems strange to me that a

theorem so often associated with

integers is associated with

fractions.

The

basic theme of the book is numbers. Aside from the everyday "

well, duh", both number types and specific numbers are discussed, including

primes,

Lucas and Fibonacci numbers,

irrational numbers,

imaginary numbers,

transcendental numbers and

infinity. The chapter titles are:

__
__
- The Romance of Numbers
- Figures from figures: Doing Arithmetic and Algebra by Geometry
- What Comes Next?
- Famous Families of Numbers
- The Primacy of Primes
- Further Fruitfulness of Fractions
- Geometric Problems and Algebraic Numbers
- Imagining Imaginary Numbers
- Some Transcendental Numbers
- Infinite and Infinitesimal Numbers

Warning: This is not a

proof-based book. Many things are simply stated. As my

math professor put it, "This book doesn't have a very good

bibliography."