ABSTRACT

Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another?

These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite.

chapter 1|9 pages

Counting

chapter 2|9 pages

The Search for Prime Numbers

chapter 3|6 pages

The World Record Holders

chapter 4|8 pages

The Distribution of Primes

chapter 5|10 pages

Prime Races, Emirps, and More

chapter 6|10 pages

The Baffling Law of Benford

chapter 7|9 pages

What is so Special about 6174?

chapter 8|9 pages

Number Patterns and Symmetries

chapter 9|15 pages

Numbers Perfect, Friendly, and Weird

chapter 10|8 pages

How do These Series End?

chapter 11|9 pages

Fermat’s Legendary Last Theorem

chapter 12|14 pages

Shapely Numbers and Mr. Waring

chapter 13|7 pages

Magic Squares and Cubes

chapter 15|9 pages

Nearly All Numbers are Insane

chapter 16|11 pages

Cyclic Numbers and their Secret

chapter 17|9 pages

Pi, a Transcendental Number

chapter 20|10 pages

Two Dimensional Numbers

chapter 21|11 pages

Counting the Infinite

chapter 22|3 pages

Update (September 1985)