Number Theory

Download e-book for kindle: A Comprehensive Course in Number Theory by Alan Baker

By Alan Baker

ISBN-10: 110701901X

ISBN-13: 9781107019010

ISBN-10: 110760379X

ISBN-13: 9781107603790

constructed from the author's well known textual content, A Concise creation to the speculation of Numbers, this e-book presents a entire initiation to all of the significant branches of quantity idea. starting with the rudiments of the topic, the writer proceeds to extra complex subject matters, together with components of cryptography and primality checking out, an account of quantity fields within the classical vein together with homes in their devices, beliefs and perfect sessions, 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 conception and an exposition of the mathematics of elliptic curves. The ebook comprises many labored examples, routines and additional interpreting. Its wider insurance and flexibility make this ebook compatible for classes extending from the straight forward to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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