Paving the way for students to understand and perform combinatorial calculations, this accessible text presents the discrete methods necessary for applications to algorithmic analysis, performance evaluation, and statistics as well as for the solution of combinatorial problems in engineering and the social sciences.

Preface. Introduction to Combinatorics. Sequences. Solving Recurrences. Evaluating Sums. Subsets and Binomials. Partitions and Permutations. Integer Operators. Graph Fundamentals. Graph Theory Topics. Graph Enumeration. Designs. Appendix. Bibliography. Solutions and Hints. Indices.