The Resource Counting with Symmetric Functions, by Anthony Mendes, Jeffrey Remmel, (electronic resource)

# Counting with Symmetric Functions, by Anthony Mendes, Jeffrey Remmel, (electronic resource) Resource Information The item Counting with Symmetric Functions, by Anthony Mendes, Jeffrey Remmel, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.

Label
Counting with Symmetric Functions
Title
Counting with Symmetric Functions
Statement of responsibility
by Anthony Mendes, Jeffrey Remmel
Creator
Contributor
Author
Subject
Language
eng
Summary
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 concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya's enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties. Counting with Symmetric Functions will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature
Member of
Mendes, Anthony
Image bit depth
0
Literary form
non fiction
• Remmel, Jeffrey.
Series statement
Developments in Mathematics,
Series volume
43
• Mathematics
• Sequences (Mathematics)
• Special functions
• Combinatorics
Label
Counting with Symmetric Functions, by Anthony Mendes, Jeffrey Remmel, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
• cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
• txt
Content type MARC source
rdacontent.
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
Control code
978-3-319-23618-6
Dimensions
unknown
Edition
1st ed. 2015.
Extent
X, 292 p. 209 illus.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319236186
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
• c
Other control number
10.1007/978-3-319-23618-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086462726
Label
Counting with Symmetric Functions, by Anthony Mendes, Jeffrey Remmel, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
• cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
• txt
Content type MARC source
rdacontent.
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
Control code
978-3-319-23618-6
Dimensions
unknown
Edition
1st ed. 2015.
Extent
X, 292 p. 209 illus.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319236186
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
• c
Other control number
10.1007/978-3-319-23618-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086462726