Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica

Sriram Pemmaraju and Steven Skiena, 2003, Cambridge University Press, 480 pp., hardcover

This book is a reference and user's guide for Combinatorica, an extension to Mathematica that is used for teaching and research in discrete mathematics. Included are examples of all 450 Combinatorica functions as well as associated mathematical and algorithmic theory. These functions are available for active experimentation and visualization with the aim of advancing the study of combinatorics and graph theory. The text covers classical and advanced topics on the most important combinatorial objects and all important areas of graph theory, and can be used for self-study or in discrete mathematics courses.

Chapters
Combinatorica: An Explorer's Guide | Permutations and Combinations | Algebraic Combinatorics | Partitions, Compositions, and Young Tableaux | Graph Representation | Generating Graphs | Properties of Graphs | Algorithmic Graph Theory

This book is available in the Wolfram Research bookstore.