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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
- ISBN-10: 0486446034
- ISBN-13: 978-0486446035
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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.
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

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