A Comprehensive Course in Number Theory (Paperback)

Alan Baker

ISBN 10: 110760379X / ISBN 13: 9781107603790

Published by Cambridge University Press, Cambridge, 2012

About this Item

Paperback. Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the HardyLittlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies. Developed from the author's classic concise introduction, this text begins with a brief, yet comprehensive, introduction to the rudiments of the subject before proceeding to more advanced topics such as factorisation and primality testing. Its breadth makes this book suitable for courses extending from the elementary to the graduate level. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107603790

Bibliographic Details

• Title: A Comprehensive Course in Number Theory (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2012
• Language: English
• ISBN 10: 110760379X
• ISBN 13: 9781107603790
• Binding: Paperback
• Condition: new

About this title

Synopsis

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

About the Author

Alan Baker is Emeritus Professor of Pure Mathematics in the University of Cambridge and Fellow of Trinity College, Cambridge. His many distinctions include the Fields Medal (1970) and the Adams Prize (1972).