Elementary Number Theory: Primes, Congruences, and Secrets PDF
By:William Stein
Published on 2008-10-28 by Springer Science & Business Media
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.
This Book was ranked at 5 by Google Books for keyword Triangle secret.
Book ID of Elementary Number Theory: Primes, Congruences, and Secrets's Books is 5hYd0yX4mrMC, Book which was written byWilliam Steinhave ETAG "sXM+FbT50Eo"
Book which was published by Springer Science & Business Media since 2008-10-28 have ISBNs, ISBN 13 Code is 9780387855257 and ISBN 10 Code is 0387855254
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Book which have "168 Pages" is Printed at BOOK under CategoryMathematics
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Download Elementary Number Theory: Primes, Congruences, and Secrets PDF
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