Author | : Edward A. Bender |
File Size | : 45,9 Mb |
Publisher | : Courier Corporation |
Language | : English |
Release Date | : 18 January 2013 |
ISBN | : 9780486151502 |
Pages | : 738 pages |
Foundations of Combinatorics with Applications by Edward A. Bender Book PDF Summary
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.