An Introduction to Sieve Methods and Their Applications
1st Edition
Published on 12. January 2006
978-0-511-13149-3 (ISBN)
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.
Reviews / Votes
'... 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 SocietyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
0,92 MB
ISBN-13
978-0-511-13149-3 (9780511131493)
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Schweitzer Classification
Other editions
Additional editions
Alina Carmen Cojocaru | M. Ram Murty
An Introduction to Sieve Methods and Their Applications
Book
12/2005
Cambridge University Press
€84.70
Shipment within 15-20 days
Alina Carmen Cojocaru | M. Ram Murty
An Introduction to Sieve Methods and Their Applications
Book
12/2005
Cambridge University Press
€181.20
Shipment within 15-20 days
Persons
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.
Content
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.
