[PDF] Foundations of Combinatorics with Applications (Dover Books on Mathematics)

ISBN: 0486446034

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Posted on 2017-12-18, by luongquocchinh.

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Author: Edward A. Bender | Publisher: Dover Publications | Category: Mathematics | Language: English | Page: 480 | ISBN: 0486446034 | ISBN13: 9780486446035 |

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.

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