Elementary Number Theory

Posted on 04 July 2017 by William Stein

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. Free Download [ Elementary Number Theory ] By [ William Stein ] For Kindle ePUB or eBook – kino-fada.fr terse in some parts but if you use proof wiki in conjunction you re golden.

English
04 July 2017

William Stein