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 Polya'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.
About Anthony Mendes
However, right now we simply cannot offer you information about your Founder Anthony Mendes. However this does not mean that individuals fail to work on her behalf assortment. We also ask which you assist us to in this particular matter. In case you have sparetime and want may exceptionally value when you offer you the information you have. As soon as having this sort of feedback and knowledge via consumers in regards to the Counting with Symmetric Functions Publisher Anthony Mendes, we all very first the woman look at. When we all make certain that all genuine, only article that. We can see this support along with appreciate it ahead of time.Details Book
Author  :  Anthony Mendes 
Publisher  :  Birkhauser Verlag AG 
Data Published  :  04 December 2015 
ISBN  :  3319236172 
EAN  :  9783319236179 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  292 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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