Get A Comprehensive Course in Number Theory PDF

By Alan Baker

ISBN-10: 110701901X

ISBN-13: 9781107019010

ISBN-10: 110760379X

ISBN-13: 9781107603790

built from the author's well known textual content, A Concise advent to the idea of Numbers, this publication presents a complete initiation to the entire significant branches of quantity conception. starting with the rudiments of the topic, the writer proceeds to extra complex themes, together with parts of cryptography and primality checking out, an account of quantity fields within the classical vein together with houses in their devices, beliefs and perfect periods, points of analytic quantity thought together with stories of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, an outline of the Hardy-Littlewood and sieve tools from respectively additive and multiplicative quantity conception and an exposition of the mathematics of elliptic curves. The ebook contains many labored examples, workouts and extra examining. Its wider insurance and flexibility make this ebook compatible for classes extending from the trouble-free to starting graduate studies.

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