How to Count An Introduction to Combinatorics and Its Applications /

• Main Author: Beeler, Robert A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Subjects: Mathematics.; Probabilities.; Combinatorics.; Probability Theory and Stochastic Processes.

Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exerci...

Table of Contents:

• Preliminaries
• Basic Counting
• The Binomial Coefficient
• Distribution Problems
• Generating Functions
• Recurrence Relations
• Advanced Counting - Inclusion and Exclusion
• Advanced Counting - Polya Theory
• Application: Probability
• Application: Combinatorial Designs
• Application: Graph Theory
• Appendices.