A Primer of Analytic Number Theory: From Pythagoras to Riemann

Stopple, Jeffrey

ISBN 10: 0521012538 / ISBN 13: 9780521012539

Published by Cambridge University Press, 2003

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Seller Inventory # ria9780521012539_new

Bibliographic Details

• Title: A Primer of Analytic Number Theory: From Pythagoras to Riemann
• Publisher: Cambridge University Press
• Publication Date: 2003
• Language: English
• ISBN 10: 0521012538
• ISBN 13: 9780521012539
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

Book Description

This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. The author 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 (some of which have million dollar prizes). The capstone 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.