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Foundations of Combinatorics with Applications

  • Category: Computer
  • Author: Edward A. Bender and S. Gill Williamson
  • Pages: 480 pages
  • File type: PDF and PostScript

Read and download free eBook intituled Foundations of Combinatorics with Applications in format PDF and PostScript – 480 pages created by Edward A. Bender and S. Gill Williamson.

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.

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Foundations of Combinatorics with Applications

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