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A Primer of Analytic Number Theory: From Pythagoras to Riemann

A Primer of Analytic Number Theory: From Pythagoras to Riemann

Paperback

General Mathematics

ISBN10: 0521012538
ISBN13: 9780521012539
Publisher: Cambridge
Published: Jun 23 2003
Pages: 400
Weight: 1.10
Height: 0.60 Width: 6.10 Depth: 8.70
Language: English
This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems. The culmination of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.

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General Mathematics