By Alan Baker

built from the author's renowned textual content, A Concise creation to the speculation of Numbers, this booklet presents a complete initiation to the entire significant branches of quantity thought. starting with the rudiments of the topic, the writer proceeds to extra complex themes, together with parts of cryptography and primality checking out, an account of quantity fields within the classical vein together with houses in their devices, beliefs and perfect periods, points of analytic quantity thought 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, workouts and additional studying. Its wider insurance and flexibility make this ebook compatible for classes extending from the hassle-free to starting graduate studies.

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