Read e-book online A Comprehensive Course in Number Theory PDF

By Alan Baker

ISBN-10: 110701901X

ISBN-13: 9781107019010

ISBN-10: 110760379X

ISBN-13: 9781107603790

constructed from the author's renowned textual content, A Concise advent to the idea of Numbers, this ebook presents a entire initiation to the entire significant branches of quantity thought. starting with the rudiments of the topic, the writer proceeds to extra complicated issues, together with parts of cryptography and primality trying out, an account of quantity fields within the classical vein together with houses in their devices, beliefs and perfect sessions, facets of analytic quantity idea together with reviews of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, an outline of the Hardy-Littlewood and sieve equipment from respectively additive and multiplicative quantity idea and an exposition of the mathematics of elliptic curves. The ebook comprises many labored examples, workouts and extra studying. Its wider assurance and flexibility make this booklet appropriate for classes extending from the straightforward to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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