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Foundations of Combinatorics with Applications
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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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Book Description

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.
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