The Prime Number Theorem
Part of London Mathematical Society Student Texts
- Author: G. J. O. Jameson, Lancaster University
- Date Published: June 2003
- availability: Available
- format: Paperback
- isbn: 9780521891103
Paperback
-
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.
Read more- Fascinating classical subject
- Class-tested by the author
- Provides an alternative view of the topic
Reviews & endorsements
'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
See more reviews'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
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2003
- format: Paperback
- isbn: 9780521891103
- length: 264 pages
- dimensions: 228 x 160 x 14 mm
- weight: 0.39kg
- contains: 1 b/w illus.
- availability: Available
Table of Contents
Preface
1. Foundations
2. Some important Dirichlet series and arithmetic functions
3. The basic theorems
4. Prime numbers in residue classes: Dirichlet's theorem
5. Error estimates and the Riemann hypothesis
6. An 'elementary' proof of the prime number theorem
Appendices
Bibliography
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×