Preface to the Second Edition
Preface for Readers
Preface for Instructors
1. Introduction to the Natural Numbers
2. Mathematical Induction
3. Modular Arithmetic
4. The Fundamental Theorem of Arithmetic
5. Fermat's Theorem and Wilson's Theorem
6. Sending and Receiving Coded Messages
7. The Euclidean Algorithm and Applications
8. Rational Numbers and Irrational Numbers
9. The Complex Numbers
10. Sizes of Infinite Sets
11. Fundamentals of Euclidean Plane Geometry
12. Constructability
13. An Introduction to Infinite Series
14. Some Higher Dimensional Spaces
Index.