ISBN 9781107619173,A Comprehensive Course In Number Theory

A Comprehensive Course In Number Theory

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Cambridge University Press

Publication Year 2013

ISBN 9781107619173

ISBN-10 1107619173


Number of Pages 288 Pages
Language (English)

Number theory

This Book Provides A Comprehensive Initiation To All The Major Branches Of Number Theory. Beginning With The Rudiments Of The Subject, The Author Proceeds To More Advanced Topics, Including Elements Of Cryptography And Primarily Testing, An Account Of Number Fields In The Classical Vein Including Properties Of Their Units, Ideals And Ideal Classes, Aspects Of Analytic Number Theory Including Studies Of The Riemann Zeta-Function, The Prime-Number Theorem And Primes In Arithmetical Progressions, A Description Of The Hardy-Little Wood And Sieve Methods From Respectively Additive And Multiplicative Number Theory And An Exposition Of The Arithmetic Of Elliptic Curves. The Book Includes Many Worked Examples, Exercises And Further Reading. Its Wider Coverage And Versatility Make This Book Suitable For Courses Extending From The Elementary To Beginning Graduate Studies.