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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