A Comprehensive Course in Number Theory by Alan Baker

By Alan Baker

constructed from the author's renowned textual content, A Concise advent to the idea of Numbers, this booklet presents a finished initiation to the entire significant branches of quantity conception. starting with the rudiments of the topic, the writer proceeds to extra complicated subject matters, together with parts of cryptography and primality trying out, an account of quantity fields within the classical vein together with homes in their devices, beliefs and perfect sessions, elements of analytic quantity conception 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 tools from respectively additive and multiplicative quantity conception and an exposition of the mathematics of elliptic curves. The e-book contains many labored examples, routines and additional examining. Its wider insurance and flexibility make this booklet compatible for classes extending from the easy to starting graduate studies.

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