Table of Contents

• To the reader
• Introduction
• Number systems
• Divisibility and order in the integers
• GCD’s and the division algorithm
• Prime numbers and factorization into primes
• Applications of prime power factorization
• Modular arithmetic and divisibility tests
• More modular arithmetic
• The arithmetic of fractions
• Properties of multiplication of fractions
• Addition of fractions
• The decimal expansion of a fraction
• Order and the number line
• The mysterious long division algorithm
• The pigeonhole principle
• Index