Counting with Symmetric Functions
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 conc...
| Main Authors: | , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Developments in Mathematics,
43 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-23618-6 |
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.