English | 2016 | ISBN: 1534878653 | 384 Pages | PDF | 10.4 MB
               
This is a text with more than enough material for a one-semester introduction to combinatorics. The original target audience was primarily computer science majors, but the topics included make it suitable for a variety of different students. Topics include:
- Basic enumeration: strings, sets, binomial coefficients
- Recursion and mathematical induction
- Graph theory
- Partially ordered sets
- Additional enumeration techniques: inclusion-exclusion, generating functions, recurrence relations, and Polya theory
- Graph algorithms: minimum weight spanning trees, Dijkstra's algorithm, network flows