Foundations of Combinatorics with Applications (Paperback) (ISBN-13: 9780486446035)

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.

Author: Edward A. Bender, S. Gill Williamson
ISBN-10: 0486446034
ISBN-13: 9780486446035
Publisher: Dover Publications
Language: English
Published: 02/06/2006
Pages: 480
Format: Paperback
Weight: 1.42lbs
Size: 9.20h x 6.36w x 0.90d