The third edition of this popular text presents the tools of combinatorics for a first undergraduate course.

Fred S. Roberts is professor of mathematics and director of DIMACS at Rutgers University.

Barry Tesman is a professor of mathematics at Dickinson College.

Chapter 1: What Is Combinatorics? THE BASIC TOOLS OF COMBINATORICS Chapter 2: Basic Counting Rules; Chapter 3: Introduction to Graph Theory; Chapter 4 Relations; THE COUNTING PROBLEM Chapter 5: Generating Functions and Their Applications; Chapter 6: Recurrence Relations; Chapter 7: The Principle of Inclusion and Exclusion; Chapter 8: The Pólya Theory of Counting; THE EXISTENCE PROBLEM Chapter 9: Combinatorial Designs; Chapter 10: Coding Theory; Chapter 11: Existence Problems in Graph Theory; COMBINATORIAL OPTIMIZATION Chapter 12: Matching and Covering; Chapter 13: Optimization Problems for Graphs and Networks; Appendix: Answers to Selected Exercises; Author Index; Subject Index; References appear at the end of each chapter.