Alan Baker's A Comprehensive Course in Number Theory PDF

By Alan Baker

constructed from the author's well known textual content, A Concise creation to the speculation of Numbers, this booklet presents a finished initiation to the entire significant branches of quantity idea. starting with the rudiments of the topic, the writer proceeds to extra complicated subject matters, 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, facets of analytic quantity idea together with stories 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 thought and an exposition of the mathematics of elliptic curves. The publication contains many labored examples, routines and additional interpreting. Its wider insurance and flexibility make this booklet appropriate for classes extending from the effortless to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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