Chapter 1 Divisibility, the Fundamental Theorem of Number Theory
Chapter 2 Congruences
Chapter 3 Rational and Irrational Numbers. Approximation of Numbers by Rational Numbers (Diophantine Approximation)
Chapter 4 Geometric Methods in Number Theory
Chapter 5 Properties of Prime Numbers
Chapter 6 Sequences of Integers
Chapter 7 Diophantine Problems

Number theory, the branch of mathematics which studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. The authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive. In addition to revealing the beauty of the problems themselves, they have tried to give glimpses into deeper, related mathematics. The book presents problems whose solutions can be obtained using elementary methods. No prior knowledge of number theory is assumed. ---Summary provided by publisher.