From Zero to Infinity: What Makes Numbers Interesting / Edition 4

From Zero to Infinity: What Makes Numbers Interesting / Edition 4

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by Constance Reid
     
 

From Zero to Infinity is a combination of number lore, number history, and sparkling descriptions of the simply stated but exceedingly difficult problems posed by the most ordinary numbers that first appeared in 1955 and has been kept in print continuously ever since. With the fifth edition this classic has been updated to report on advances in number theory

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Overview

From Zero to Infinity is a combination of number lore, number history, and sparkling descriptions of the simply stated but exceedingly difficult problems posed by the most ordinary numbers that first appeared in 1955 and has been kept in print continuously ever since. With the fifth edition this classic has been updated to report on advances in number theory over the last 50 years, including the proof of Fermat's Last Theorem. Deceptively simple in style and structure, it is a book to which the reader will return again and again, gaining greater understanding and satisfaction with each reading.

Product Details

ISBN-13:
9780883855058
Publisher:
Mathematical Association of America
Publication date:
04/01/1992
Series:
Spectrum Series
Edition description:
Older Edition
Pages:
200
Product dimensions:
5.31(w) x 7.89(h) x 0.38(d)

Table of Contents

Zero : only a place-holder until finally recognized as first of the natural numbers1
One : a number that makes mathematics different from all the other sciences15
Two : a primitive number system comes into its own with the electronic computer27
Three : first among the odd numbers divisible only by themselves and one39
Four : numbers multiplied by themselves provide beautifully difficult theorems53
Five : the pentagonal numbers turn up in the generating function of partitions67
Six : why has finding larger perfect numbers become increasingly important?77
Seven : the problem of the prime-sided regular polygons has an unexpected answer91
Eight : solving one problem about cubes leads to an even more difficult problem105
Nine : add a third line to the two lines of the equals sign - and see what happens117
Euler's number : an unnatural number answers the deepest question about natural numbers131
Aleph - zero : what set greater than the positive integers has the same number?149

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