Foundations of Combinatorics with Applications

By Edward A. Bender and S. Gill Williamson

Book Overview

This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.

• Format: Paperback
• Language: English
• ISBN: 0486446034
• ISBN13: 9780486446035
• Release Date: February 2006
• Publisher: Dover Publications
• Length: 480 Pages
• Weight: 1.85 lbs.
• Dimensions: 0.9" x 6.4" x 9.2"