Coverart for item
The Resource Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel

Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel

Label
Counting with symmetric functions
Title
Counting with symmetric functions
Statement of responsibility
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
Cataloging source
CDX
http://library.link/vocab/creatorName
Mendes, Anthony
Dewey number
515.2/2
Illustrations
illustrations
Index
index present
LC call number
QA212
LC item number
.M46 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1948-
http://library.link/vocab/relatedWorkOrContributorName
Remmel, Jeffrey B.
Series statement
Developments in mathematics
Series volume
volume 43
http://library.link/vocab/subjectName
  • Symmetric functions
  • Sequences (Mathematics)
  • Functions, Special
  • Combinatorial analysis
  • Symmetric functions
  • Sequences (Mathematics)
  • Functions, Special
  • Combinatorial analysis
Target audience
specialized
Label
Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 281-287) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
935086130
Dimensions
24 cm
Extent
x, 292 pages
Isbn
9783319236179
Lccn
2015953218
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)935086130
Label
Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 281-287) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
935086130
Dimensions
24 cm
Extent
x, 292 pages
Isbn
9783319236179
Lccn
2015953218
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)935086130

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
Processing Feedback ...