The Combinatories of the Permutation Enumeration of Wreath Products Between Cyclic and Symmetric Groups PDF Download
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Author: Jennifer D. Wagner
Publisher:
ISBN:
Category :
Languages : en
Pages : 366
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Book Description
Author: Jennifer D. Wagner
Publisher:
ISBN:
Category :
Languages : en
Pages : 366
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Book Description
Author: Jeffrey Remmel
Publisher: Birkhäuser
ISBN: 3319236180
Category : Mathematics
Languages : en
Pages : 297
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Book Description
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.
Author: Steve Linton
Publisher: Cambridge University Press
ISBN: 1139488848
Category : Mathematics
Languages : en
Pages : 353
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Book Description
A mixture of survey and research articles by leading experts that will be of interest to specialists in permutation patterns and other researchers in combinatorics and related fields. In addition, the volume provides plenty of material accessible to advanced undergraduates and is a suitable reference for projects and dissertations.
Author: Thomas Langley
Publisher:
ISBN:
Category :
Languages : en
Pages : 404
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Book Description
Author: Joseph P. S. Kung
Publisher: Cambridge University Press
ISBN: 052188389X
Category : Mathematics
Languages : en
Pages : 409
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Book Description
Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 826
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 916
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Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 782
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Book Description
Author: Visvanatha Krishnamurthy
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 528
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Book Description
Author: Peter J. Cameron
Publisher: Cambridge University Press
ISBN: 1108417361
Category : Mathematics
Languages : en
Pages : 235
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Book Description
An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.
