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Number Theory : An Introduction Via the Distribution of Primes by Benjamin Fine, Gerhard Rosenberger, Fine, Benjamin is a nonfiction available to read on EtoBox.

What is Number Theory : An Introduction Via the Distribution of Primes about?

<p>This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes.</p> <p>Key Topics and Features:</p> <p>* Solid introduction to analytic number theory, including full proofs of Dirichlet’s Theorem and the Prime Number Theorem</p> <p>* Solid treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of ideals</p> <p>* First treatment in book form of the AKS algorithm that shows that primality testing is of polynomial time</p> <p>* Many interesting side topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers</p> <p>The book’s user-friendly style, historical context, and wide range of exercises from simple to quite difficult (with solutions and hints provided for select ones) make it ideal for

Who reads Number Theory : An Introduction Via the Distribution of Primes?

Author

Benjamin Fine, Gerhard Rosenberger, Fine, Benjamin

Publisher

Birkhäuser Boston

Published

2006

Language

EN

ISBN

9780817645410

Category

nonfiction

Subjects

Management, Science, Mathematics