Read e-book online A Comprehensive Course in Number Theory PDF

By Alan Baker

constructed from the author's well known textual content, A Concise advent to the speculation of Numbers, this e-book 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 complex 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 excellent sessions, points of analytic quantity concept 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 idea and an exposition of the mathematics of elliptic curves. The e-book contains many labored examples, workouts and extra interpreting. Its wider assurance 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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