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An Introduction to Sieve ­Methods and Their ­Applications
London Mathematical Society Student Texts
By Cojocaru, Alina Carmen (Princeton University, New Jersey), Murty, M. Ram (Queen's University, Ontario)

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Format
Hardback, 236 pages
Other Formats Available

Paperback : $89.72

Published
United Kingdom, 8 December 2005

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.


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Product Description

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.

Product Details
EAN
9780521848169
ISBN
0521848164
Other Information
Worked examples or Exercises
Dimensions
23.6 x 16.2 x 1.8 centimetres (0.46 kg)

Table of Contents

1. Some basic notions; 2. Some elementary sieves; 3. The normal order method; 4. The Turan sieve; 5. The sieve of Eratosthenes; 6. Brun's sieve; 7. Selberg's sieve; 8. The large sieve; 9. The Bombieri-Vinogradov theorem; 10. The lower bound sieve; 11. New directions in sieve theory; Bibliography.

Promotional Information

This book provides a motivated introduction to sieve theory.

About the Author

Alina Carmen Cojocaru is an Instructor of Mathematics at Princeton University. Ram Murty is a Professor and Queen's Reseach Chair at Queen's University.

Reviews

'... 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

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