Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are minimal: nothing beyond material in a typical undergraduate course in calculus is presumed, other than some experience in doing proofs - everything else is developed from scratch. Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

'It's a pleasure to find a book that is so masterful and so well written that it has all tha hallmarks of a classic. This is such a book. Shoup set himself the difficult task of bringing readers upt o speed with number theory and algebra, starting 'from scratch' - he is quite successful… This is a truly magnificent text, deserving a place on the shelves of any mathematician or computer scientist working in these areas.'

Source: Computing Reviews