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 zetafunction, the primenumber 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.
About Alan Baker
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).Details Book
Author  :  Alan Baker 
Publisher  :  Cambridge University Press 
Data Published  :  23 August 2012 
ISBN  :  110760379X 
EAN  :  9781107603790 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  264 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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