The Prime Number Theorem: 53 (London Mathematical Society Student Texts, Series Number 53) - Hardcover

Jameson, G. J. O.

Hardcover

ISBN 10: 0521814111 ISBN 13: 9780521814119

Publisher: Cambridge University Press, 2003

Synopsis

At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.

About this title

Review

'The entire exposition is extremely lucid, motivated and amply commentated throughout. With numerous examples illustrating the purely theoretical parts. Unquestionably, the book bespeaks the author's teaching skill and experience just as much as his gripping passion for this refined and fascinating topic. Altogether, this textbook is outstandingly suitable for both a course on prime number theory, at the upper-graduate level, and as a source for self-instruction ... Anyway, this text is a highly valuable enhancement of the existing literature on the subject which stands out by its particular user-friendliness.' Zentralblatt MATH

'The book is engagingly written, in a friendly style, and there are short biographies of the mathematicians most associated with the prime number theorem. Given the complexity and depth of the mathematics needed, I doubt that a more accessible account of the theorem exists.' The Mathematical Gazette

Book Description

The prime number theorem is indisputably one of the great classical theorems of mathematics. Suitable for advanced undergraduates and beginning graduates, this textbook demonstrates how the tools of analysis can be used in number theory to attack a famous problem.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2003
• Language: English
• ISBN 10: 0521814111
• ISBN 13: 9780521814119
• Binding: Hardcover
• Number of pages: 264