Primes and Programming

About 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.