Number Theory is a rich yet flexible account of classic number theory, blending in numerous applications and specialized treatments of many essential topics, including Cryptology, Fibonacci Numbers, and Computational Number Theory. It strikes a balance between the traditional and algorithmic approach to elementary number theory and is supported with numerous exercises, applications, and case studies throughout. Number Theory is appropriate for use in a one-semester, undergraduate number theory course. It is robust with interesting facts, historical notes, and modern applications, yet is clear and manageable for introductory students. With 21st century applications, this text is truly an entertaining and comprehensive introduction to number theory.

Preface / About this Book / Features / Preliminaries / Divisibility / Primes / Congruences / Arithmetic Functions / Primitive Roots and Indices / Quadratic Congruences / Sums of Squares / Continued Fractions / Nonlinear Diophantine Equations / Computational Number Theory / Cryptology / Some Open Questions in Elementary Number Theory / Tables / Answers to Selected Exercises / Bibliography / Index.

Undergraduate Students in Mathematics