Counting with Symmetric Functions

• Κύριοι συγγραφείς: Mendes, Anthony (Συγγραφέας), Remmel, Jeffrey (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Developments in Mathematics, 43
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.