Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Counting with Symmetric Functions
.
Bookmark this Record
Catalogue Record 30970
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 30970
.
Reviews
Catalogue Record 30970
.
British Library
Resolver for RSN-30970
Google Scholar
Resolver for RSN-30970
WorldCat
Resolver for RSN-30970
Catalogo Nazionale SBN
Resolver for RSN-30970
GoogleBooks
Resolver for RSN-30970
ICTP Library
Resolver for RSN-30970
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
511.6
Title
Counting with Symmetric Functions ([EBook]) / by Anthony Mendes, Jeffrey Remmel.
Author
Mendes, Anthony
Added Personal Name
Remmel, Jeffrey
author.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2015.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details
X, 292 p. 209 illus. : online resource.
Series
Developments in mathematics
1389-2177 ; ; 43
ISBN
9783319236186
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-319-23618-6
Links to Related Works
Subject References:
Combinatorics
.
Mathematics
.
Sequences (Mathematics)
.
Sequences, Series, Summability
.
Special Functions
.
Authors:
Mendes, Anthony
.
Remmel, Jeffrey
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Developments in mathematics
.
Classification:
511.6
.
511.6 (DDC 23)
.
.
ISBD Display
Catalogue Record 30970
.
Tag Display
Catalogue Record 30970
.
Related Works
Catalogue Record 30970
.
Marc XML
Catalogue Record 30970
.
Add Title to Basket
Catalogue Record 30970
.
Catalogue Information 30970
Beginning of record
.
Catalogue Information 30970
Top of page
.
Download Title
Catalogue Record 30970
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
30970
1
30970
-
2
30970
-
3
30970
-
4
30970
-
5
30970
-
Quick Search
Search for