ENGLISH

A primer of analytic number theory: from Pythagoras to Riemann

By Jeffrey Stopple

Book information

Publisher
Cambridge University Press
Year
2003
ISBN
0521012538, 9780521012539, 0521813093
Open Library ID
OL22153560M
Language
english
Format
PDF
Filesize
2 MB (1986158 bytes)
Pages
399\399
Library
Kolxo3
Time added
2009-07-20 03:45:11

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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