A Comprehensive Course in Number Theory

By:

Alan Baker

Format:

Hardback

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Description

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.

Author Biography:

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).

Release date NZ

August 23rd, 2012

Author

Alan Baker

Audiences

Professional & Vocational
Tertiary Education (US: College)

Illustrations

Worked examples or Exercises; 7 Line drawings, unspecified

Pages

268

Dimensions

152x229x19

ISBN-13

9781107019010

Product ID

19618138

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