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Science/Engineering Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach

Posted on 2010-03-15




Name:Science/Engineering Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach
ASIN/ISBN:0387855246
Language:English
File size:1.93 Mb
Publish Date: 2009-01-02
ISBN: 0387855246
Pages: 176 pages
File Type: PDF
File Size: 1,93 MB
Other Info: Springer
   Science/Engineering Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach

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William Stein “Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach"

This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory such as Fermat’s Last Theorem, the Congruent Number Problem, and the Conjecture of Birch and Swinnerton-Dyer. The intended audience of this book is an undergraduate with some familiarity with basic abstract algebra, e.g. rings, fields, and finite abelian groups.

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