Discrete mathematics /
Gary Chartrand and Ping Zhang
- Long Grove, Illinois : Waveland Press, Inc., c2011
- xiii, 671 pages : illustrations ; 25 cm.
Includes index.
Chapter0. What is discrete mathematics -- Chapter1. Logic -- Chapter2. Sets -- Chapter3. Methods of proof -- Chapter4. Mathematical Induction -- Chapter5. Relations and functions -- Chapter6. Algorithms and complexity -- Chapter7. Integers -- Chapter8. Introduction to counting -- Chapter9. Advanced counting method -- Chapter10. Discrete probability -- Chapter11. Partially ordered sets and boolean algebras -- Chapter12. Introduction to graphs -- Chapter13. Trees -- Chapter14. Planar graphs and graph colorings -- Chapter15. Directed Graphs .
As with all areas of mathematics, discrete mathematics deals with the understanding of concepts and theorems. The definitions of all concepts are presented and if the concept is considered a major concept, it is prominently displayed.