0. Introduction; 1. Divide and conquer; 2. Prime time; 3. A modular world; 4. Fermat's Little theorem and Euler's theorem; 5. Public key cryptography; 6. Polynomial congruences and primitive roots; 7. The golden rule: quadratic reciprocity; 8. Pythagorean triples, sums of squares, and Fermat's Last Theorem; 9. Rationals close to irrationals and the Pell equation; 10. The search for primes; Appendix A. Mathematical induction: the domino effect; Index.
David C. Marshall is an Assistant Professor of Mathematics at Monmouth University in West Long Branch, New Jersey. Edward Odell is Professor of Mathematics at The University of Texas at Austin. Michael Starbird is Professor of Mathematics and a University Distinguished Teaching Professor at The University of Texas at Austin.