TY - BOOK ID - 67067970 TI - A comprehensive course in number theory PY - 2012 SN - 9781107019010 9781107603790 9781139552165 1139552163 9781139549660 1139549669 128361085X 9781283610858 9781139093835 1139093835 110701901X 110760379X 9781139554626 113955462X 1316089746 1139564455 1139550918 9786613923301 1139555871 PB - Cambridge [UK] New York DB - UniCat KW - Mathematics KW - Number Theory KW - Number theory KW - Polynomials. KW - Algebra KW - Number study KW - Numbers, Theory of UR - https://www.unicat.be/uniCat?func=search&query=sysid:67067970 AB - 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. ER -