Counting with Symmetric Functions

• Main Authors: Mendes, Anthony (Author), Remmel, Jeffrey (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Developments in Mathematics, 43
• Subjects: Mathematics.; Sequences (Mathematics).; Special functions.; Combinatorics.; Special Functions.; Sequences, Series, Summability.

This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics.  It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate con...

Table of Contents:

• Preface
• Permutations, Partitions, and Power Series
• Symmetric Functions
• Counting with the Elementary and Homogeneous
• Counting with a Nonstandard Basis
• Counting with RSK
• Counting Problems that Involve Symmetry
• Consecutive Patterns
• The Reciprocity Method
• Appendix: Transition Matrices
• References
• Index.