Foundations of Combinatorics with Applications
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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.
Format:Paperback
Language:English
ISBN:0486446034
ISBN13:9780486446035
Release Date:February 2006
Publisher:Dover Publications
Length:480 Pages
Weight:1.85 lbs.
Dimensions:0.9" x 6.4" x 9.2"
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