How Long to Read Counting with Symmetric Functions

How Long Does it Take to Read Counting with Symmetric Functions?

It takes the average reader 4 hours and 54 minutes to read Counting with Symmetric Functions by Jeffrey Remmel

Assuming a reading speed of 250 words per minute. Learn more

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.

How long is Counting with Symmetric Functions?

Counting with Symmetric Functions by Jeffrey Remmel is 292 pages long, and a total of 73,584 words.

This makes it 99% the length of the average book. It also has 90% more words than the average book.

How Long Does it Take to Read Counting with Symmetric Functions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 42 minutes to read Counting with Symmetric Functions aloud.

What Reading Level is Counting with Symmetric Functions?

Counting with Symmetric Functions is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Counting with Symmetric Functions?

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