Foundations of Combinatorics with Applications (Dover Books on Mathematics)
Foundations of Combinatorics with Applications (Dover Books on Mathematics) by Edward A. Bender
English | February 6, 2006 | ISBN: 0486446034, 0201510391 | 480 pages | PDF | 4.03 Mb
English | February 6, 2006 | ISBN: 0486446034, 0201510391 | 480 pages | PDF | 4.03 Mb
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.