An Introduction to Sieve Methods and Their Applications (Hardcover)

Alina Cojocaru

ISBN 10: 0521848164 / ISBN 13: 9780521848169

Published by Cambridge University Press, Cambridge, 2005

About this Item

Hardcover. 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. 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 motivating 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780521848169

Bibliographic Details

• Title: An Introduction to Sieve Methods and Their Applications (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2005
• Language: English
• ISBN 10: 0521848164
• ISBN 13: 9780521848169
• Binding: Hardcover
• Condition: new

About this title

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 motivating 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.

About the Authors

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.