A Course in Enumeration

• Main Author: Aigner, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Graduate Texts in Mathematics, 238
• Subjects: Mathematics.; Computer science > Mathematics.; Algebra.; Combinatorics.; Physics.; Theoretical, Mathematical and Computational Physics.; Discrete Mathematics in Computer Science.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the stude...

Table of Contents:

• Basics
• Fundamental Coefficients
• Formal Series and Infinite Matrices
• Methods
• Generating Functions
• Hypergeometric Summation
• Sieve Methods
• Enumeration of Patterns
• Topics
• The Catalan Connection
• Symmetric Functions
• Counting Polynomials
• Models from Statistical Physics.