Elementary Number Theory: Primes, Congruences, and Secrets (eBook, PDF)
William Stein
eBook, PDF

Elementary Number Theory: Primes, Congruences, and Secrets (eBook, PDF)

A Computational Approach

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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 th...

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