This new volume presents a self-contained introduction to Number Theory, requiring a background knowledge only of some simple properties of the system of integers. The book begins with a few preliminaries on induction principles, followed by a quick review of division algorithm. The substance of the book starts in the second chapter, where, using divisors, the greatest (least) common divisor (multiple), the Euclidean algorithm, and linear indeterminate equation are discussed. This lays the foundation for the subsequent chapters dealing with: prime numbers; congruences; congruent equations; and, finally, three additional topics (comprising cryptography, Diophantine equations and Gaussian integers). At the end of each chapter are selected exercises to illustrate the theory and provide practice in the techniques. Answers to all even-numbered problems are given at the end of the book.
- ISBN10 1571461639
- ISBN13 9781571461636
- Publish Date 15 July 2007
- Publish Status Unknown
- Out of Print 7 September 2011
- Publish Country US
- Imprint International Press of Boston Inc
- Format Hardcover
- Pages 90
- Language English