# The Kingdom of Infinite Number

## A Field Guide

#### Available Formats

Just as bird guides help watchers tell birds apart by their color, songs, and behavior, The Kingdom of Infinite Number is the perfect handbook for identifying numbers in their native habitat. Taking a field guide-like approach, it offers a fresh way of looking at individual numbers and the properties that make them unique, which are also the properties essential for mental computation. The result provides new insights into mathematical patterns and relationships and an increased appreciation for the sheer wonder of numbers.

Every number in this book is identified by its "field marks," "similar species," "personality," and "associations." For example, one field mark of the number 6 is that it is the first perfect number the sum of its divisors (1,2, and 3) is equal to the number itself. Thus 28, the next perfect number, is a similar species. And the fact that 6 can easily be broken into 2 and 3 is part of its personality, a trait that is helpful when large numbers are being either multiplied or divided by 6. In addition to such classifications, special attention is paid to dozens of other fascinating numbers, transfinite and other exceptionally larger numbers, and the concept of infinity.

Ideal for beginners but organized to appeal to the mathematically literate, The Kingdom of Infinite Number will not only ad to readers' enjoyment of mathematics, but to their problem-solving abilities as well.

## Book Excerpts

The Kingdom of Infinite Numbers
Kingdom NumberGenus Natural (Counting Numbers)In some societies, counting language has not evolved beyond 2 or 3 and a word that means "many" for higher numbers. From a linguistic point of view the counting numbers, at least those greater than 2 or 3, may be considered a human invention.Yet there is something natural about the genus Natural. If the concept of matching, or one-to-one correspondence, is taken as a fundamental idea, the natural numbers--1, 2, 3, ...--would appear to be its logical outgrowth; a natural number describes the set of all sets that can
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## Reviews

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### Bryan Bunch

Bryan Bunch has extensive experience as a writer and editor in the math and science fields. The editor of The Family Encyclopedia of Diseases, he is also the co-author, with Alexander Hellemans, of The Timetables of Science and the author of Mathematical Fallacies and Paradoxes and Reality's Mirror: Exploring the Mathematics of Symmetry, which was named one of the year's best science books by Library Journal. He lives in Pleasant Valley, New York.

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### Available Formats and Book Details

The Kingdom of Infinite Number
A Field Guide

Henry Holt and Co.
W. H. Freeman
September 2001
ISBN: 9780716744474
ISBN10: 0716744473
5 x 7 1/2 inches, 388 pages
\$13.95

## Hardcover

Henry Holt and Co.
W. H. Freeman
January 2000
Hardcover
ISBN: 9780716733881
ISBN10: 0716733889
4 7/8 x 7 1/2 inches, 398 pages, Black-and-white diagrams
\$23.95

## e-Book Agency

Henry Holt and Co.
September 2001
e-Book Agency
ISBN: 9781429932301
ISBN10: 1429932309
398 pages, Includes black-and-white diagrams
\$7.99
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