The Resource Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel
Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel
Resource Information
The item Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Counting with symmetric functions, Anthony Mendes, Jeffrey Remmel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This monograph provides a selfcontained 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 RobinsonSchenstedKnuth 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
 Language
 eng
 Label
 Counting with symmetric functions
 Title
 Counting with symmetric functions
 Statement of responsibility
 Anthony Mendes, Jeffrey Remmel
 Language
 eng
 Summary
 This monograph provides a selfcontained 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 RobinsonSchenstedKnuth 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
 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
 Bibliography note
 Includes bibliographical references (pages 281287) 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
 Bibliography note
 Includes bibliographical references (pages 281287) 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
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