Description

Book Synopsis
Offers a gentle introduction to the enumerative part of combinatorics. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set.

Table of Contents
  • Basic counting
  • Counting with signs
  • Counting with ordinary generating functions
  • Counting with exponential generating functions
  • Counting with partially ordered sets
  • Counting with group actions
  • Counting with symmetric functions
  • Counting with quasisymmetric functions
  • Introduction to representation theory
  • Bibliography
  • Index.

    Combinatorics The Art of Counting

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      £999.99

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      A Paperback by Bruce E. Sagan

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 1/30/2021 12:00:00 AM
        ISBN13: 9781470460327, 978-1470460327
        ISBN10: 1470460327

        Description

        Book Synopsis
        Offers a gentle introduction to the enumerative part of combinatorics. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set.

        Table of Contents
        • Basic counting
        • Counting with signs
        • Counting with ordinary generating functions
        • Counting with exponential generating functions
        • Counting with partially ordered sets
        • Counting with group actions
        • Counting with symmetric functions
        • Counting with quasisymmetric functions
        • Introduction to representation theory
        • Bibliography
        • Index.

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