An Introduction to Sieve Methods and Their Applications: 66 (London Mathematical Society Student Texts, Series Number 66) - Hardcover

Cojocaru, Alina Carmen; Murty, M. Ram

Hardcover

ISBN 10: 0521848164 ISBN 13: 9780521848169

Publisher: Cambridge University Press, 2005

Synopsis

Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivated introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory, and non-experts can gain a quick introduction to the techniques of the subject.

About this title

Review:

'... provides a motivated introduction to sieve theory. The text can be used for a senior level undergraduate course or for an introductory graduate course in analytical number theory and non experts can gain a quick introduction to the technique of the subject.' L'enseignement mathematique

'Often sieve theory is considered to be technically complicated and difficult to learn. This excellent introductory book however brings the interested student quickly into a position to apply sieve methods successfully to various problems in analytic number theory.' Zentralblatt MATH

'... the shortest and simplest book on sieve methods that I have seen ... beginners will appreciate the clear path laid out towards the modern theory. I enthusiastically recommend [this] book to any newcomer to the subject.' Frank Thorne, Bulletin of the American Mathematical Society

Book Description:

This book provides a motivated introduction to sieve theory. Rather than focus on technical details which obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. Suitable for a senior level undergraduate course or an introductory graduate course in analytic number theory.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2005
• ISBN 10: 0521848164
• ISBN 13: 9780521848169
• Binding: Hardcover
• Number of pages: 236