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CAIRO BOOKS's Description
A Course in Computational Number Theory uses the computer as a tool for
motivation and explanation. The book is designed for the reader to quickly
access a computer and begin doing personal experiments with the patterns of the
integers. It presents and explains many of the fastest algorithms for working
with integers. Traditional topics are covered, but the text also explores
factoring algorithms, primality testing, the RSA public-key cryptosystem, and
unusual applications such as check digit schemes and a computation of the
energy that holds a salt crystal together. Advanced topics include continued
fractions, Pell's equation, and the Gaussian primes.