(DOWNLOAD) "Foundations of Combinatorics with Applications" by Edward A. Bender & S. Gill Williamson # eBook PDF Kindle ePub Free
eBook details
- Title: Foundations of Combinatorics with Applications
- Author : Edward A. Bender & S. Gill Williamson
- Release Date : January 18, 2013
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 15799 KB
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.