Chapter 1. Logic
Chapter 2. Sets.
Chapter 3. Induction
Chapter 4. Relations
Chapter 5. Functions
Chapter 6. Elementary Number Theory
Chapter 7. Cardinality
Chapter 8. The Real Numbers
Appendix A. Axiomatic Set Theory
Appendix B. Constructing R"
1.NEW! Coverage of Isomorphisms and Graph Theory.
2.Exercise sections have been improved by smoothing out the grade of difficulty.
3.Proof Sketches. Woven throughout the early chapters of the text, these sketches assist students with proof techniques.
4.Logic is used as a tool for analyzing the content of mathematical assertions and for constructing valid mathematical proofs.
5.Rigorous axiomatic treatment of set theory is introduced in Appendices A and B (which are written in the same style as the text's chapters.)"