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From Zero to Infinity What Makes Numbers Interesting

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ISBN-10: 1568812736

ISBN-13: 9781568812731

Edition: 2nd 2006 (Revised)

Authors: Constance Reid

List price: $26.95
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Description:

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.
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Book details

List price: $26.95
Edition: 2nd
Copyright year: 2006
Publisher: CRC Press LLC
Publication date: 1/16/2006
Binding: Paperback
Pages: 208
Size: 5.08" wide x 8.03" long x 0.43" tall
Weight: 0.484
Language: English

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