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 Title Foundations of Combinatorics with Applications
 Author(s) Edward A. Bender and S. Gill Williamson
 Publisher: Dover Publications (February 6, 2006)
 Paperback 480 pages
 eBook PDF and PostScript
 Language: English
 ISBN10: 0486446034
 ISBN13: 9780486446035
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Book Description
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upperlevel undergraduates and graduate students in engineering, science, and mathematics.
The fourpart 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 oddnumbered exercises and to all appendix exercises.
About the Author(s) Edward A. Bender is a Professor Emeritus of Mathematics at University of California, San Diego. He received his Ph.D. in Mathematics at California Institute of Technology in 1966.
 Combinatorics and Game Theory
 Graph Theory
 Discrete and Finite Mathematics
 Algorithms and Data Structures