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By Alan Baker

built from the author's well known textual content, A Concise advent to the idea 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 themes, 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 excellent periods, elements of analytic quantity thought 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 conception and an exposition of the mathematics of elliptic curves. The publication comprises many labored examples, routines and extra studying. Its wider insurance and flexibility make this booklet appropriate for classes extending from the easy to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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