A Primer of Analytic Number Theory: From Pythagoras to Riemann

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A Primer of Analytic Number Theory: From Pythagoras to Riemann image
ISBN-10:

0511755139

ISBN-13:

9780511755132

Author(s): Stopple, Jeffrey
Released: Sep 05, 2012
Format: Printed Access Code

Description:

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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