An Introduction to the Theory of Numbers

The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems. Divisibility.

Congruences.

Quadratic Reciprocity and Quadratic Forms.

Some Functions of Number Theory.

Some Diophantine Equations.

Farey Fractions and Irrational Numbers.

Simple Continued Fractions.

Primes and Multiplicative Number Theory.

Algebraic Numbers.

The Partition Function.

The Density of Sequences of Integers.

Appendices.

General References.

Hints.

Answers.

Index.