Numbers are part of our everyday experience and their properties have fascinated mankind since ancient times. Deciding whether a number is prime and if not, what its factors are, are both fundamental problems. In recent years analysis and solution of these problems have assumed commercial significance since large primes are an essential feature of secure methods of information transmission. The purely mathematical fascination that led to the development of methods for primality testing has been supplemented by the need to ...
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Numbers are part of our everyday experience and their properties have fascinated mankind since ancient times. Deciding whether a number is prime and if not, what its factors are, are both fundamental problems. In recent years analysis and solution of these problems have assumed commercial significance since large primes are an essential feature of secure methods of information transmission. The purely mathematical fascination that led to the development of methods for primality testing has been supplemented by the need to test within reasonable timescales, and computational methods have entered at all levels of number theory. In this book, Peter Giblin describes, in the context of an introduction to the theory of numbers, some of the more elementary methods for factorization and primality testing; that is, methods independent of a knowledge of other areas of mathematics. Indeed everything is developed from scratch so the mathematical prerequisites are minimal. An essential feature of the book is the large number of computer programs (written in Pascal) and a wealth of computational exercises and projects (in addition to more usual theory exercises). The theoretical development includes continued fractions and quadratic residues, directed always towards the two fundamental problems of primality testing and factorization. There is time, all the same, to include a number of topics and projects of a purely 'recreational' nature.
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Add this copy of Primes and Programming: an Introduction to Number to cart. $8.11, like new condition, Sold by ThriftBooks-Baltimore rated 5.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1993 by Cambridge University Press.
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Add this copy of Primes and Programming to cart. $18.85, like new condition, Sold by Sequitur Books rated 5.0 out of 5 stars, ships from Boonsboro, MD, UNITED STATES, published 1993 by Cambridge University Press.
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Very Good+ with no dust jacket. 0521409888. Minor shelf wear to edges.; "Primes and Programming: An Introduction to Number Theory with Computing" offers a unique blend of number theory and computer programming. The book covers key topics such as prime numbers, factorization, and modular arithmetic, while incorporating practical algorithms and programming exercises. Ideal for students and enthusiasts, it bridges the gap between theoretical mathematics and its application in computer science through hands-on coding.; 15 x 22.5 x1.7 cm; 235 (2) pages.