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Integers, Fractions and Arithmetic
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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

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