This free book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory.

## Book Description

Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. This book is appropriate for a second undergraduate course in Number Theory, or as an introduction to the subject for beginning graduate students.

## Table of Contents

- Compositions and Partitions
- Arithmetic Functions
- Distribution of Primes
- Irrational Numbers
- Congruences
- Diophantine Equations
- Combinatorial Number Theory
- Geometry of Numbers