Pommersheim, Marks, Flapan:

Number Theory: A Lively Introduction with Proofs, Applications, and Stories

Student Companion Site

Table Of Contents

Chapter 0: Prologue.

Chapter 1: Numbers, Rational and Irrational or The Greek System

Chapter 2: Mathematical Induction

Chapter 3: Divisibility and Primes

Chapter 4: The Euclidean Algorithm or Tales of a Master Baker

Chapter 5: Linear Diophantine Equations or General Potato Theory

Chapter 6: The Fundamental Theorem of Arithmetic or Monopolizing the Internet

Chapter 7: Modular Arithmetic or Interplanetary Math

Chapter 8: Modular Number Systems

Chapter 9: Exponents Modulo n

Chapter 10: Primitive Roots

Chapter 11: Quadratic Residues

Chapter 12: Primality Testing'

Chapter 13: Gaussian Integers

Chapter 14: Continued Fractions or a cantankerous collaboration

Chapter 15: Some Nonlinear Diophantine Equations
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