By Alan Baker

ISBN-10: 110701901X

ISBN-13: 9781107019010

ISBN-10: 110760379X

ISBN-13: 9781107603790

built from the author's renowned textual content, A Concise advent to the speculation of Numbers, this ebook presents a complete initiation to the entire significant branches of quantity thought. starting with the rudiments of the topic, the writer proceeds to extra complex themes, together with components 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, elements of analytic quantity idea 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 equipment from respectively additive and multiplicative quantity idea and an exposition of the mathematics of elliptic curves. The publication comprises many labored examples, routines and extra examining. Its wider insurance and flexibility make this publication compatible for classes extending from the user-friendly to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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