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By Alan Baker

constructed from the author's well known textual content, A Concise advent to the speculation of Numbers, this publication offers a accomplished initiation to all of the significant branches of quantity idea. starting with the rudiments of the topic, the writer proceeds to extra complicated issues, together with components of cryptography and primality trying out, an account of quantity fields within the classical vein together with homes in their devices, beliefs and perfect periods, elements of analytic quantity idea together with experiences 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 concept and an exposition of the mathematics of elliptic curves. The publication comprises many labored examples, workouts and additional interpreting. Its wider assurance and flexibility make this ebook compatible for classes extending from the ordinary to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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