Download PDF by Alan Baker: A Comprehensive Course in Number Theory

By Alan Baker

built from the author's renowned textual content, A Concise creation to the speculation of Numbers, this publication presents a finished initiation to all of the significant branches of quantity thought. starting with the rudiments of the topic, the writer proceeds to extra complex issues, together with components of cryptography and primality trying out, an account of quantity fields within the classical vein together with houses in their devices, beliefs and excellent periods, points of analytic quantity conception 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 e-book comprises many labored examples, workouts and extra studying. Its wider insurance and flexibility make this publication 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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