A Comprehensive Course in Number Theory by Alan Baker

A Comprehensive Course in Number Theory by Alan Baker

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Résumé

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.

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A Comprehensive Course in Number Theory by Alan Baker

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.
'[Baker] … possesses … powerful gifts for precision and concision … [the book] never seems rushed or artificially compressedHighly recommended.' D. V. Feldman, Choice
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).
SKU Non disponible
ISBN 13 9781107603790
ISBN 10 110760379X
Titre A Comprehensive Course in Number Theory
Auteur Alan Baker
État Non disponible
Type de reliure Paperback
Éditeur Cambridge University Press
Année de publication 2012-08-23
Nombre de pages 264
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible