Pommersheim, Marks, Flapan:

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

Instructor 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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