Foundations of Combinatorics with Applications
Overview
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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Details
- ISBN-13: 9780486446035
- ISBN-10: 0486446034
- Publisher: Dover Publications
- Publish Date: February 2006
- Dimensions: 9.2 x 6.36 x 0.9 inches
- Shipping Weight: 1.42 pounds
- Page Count: 480
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