Description

Book Synopsis
Provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration and their application to counting problems for the fundamental structures of discrete mathematics.

Table of Contents
  • Prologue: Compositions of an integer
  • Sets, functions, and relations
  • Binomial coefficients
  • Multinomial coefficients and ordered partitions
  • Graphs and trees
  • Partitions: Stirling, Lah, and cycle numbers
  • Intermission: Some unifying themes
  • Combinatorics and number theory
  • Differences and sums
  • Enumeration under group actions
  • Finite vector spaces
  • Ordered sets
  • Formal power series
  • Incidence algebra: The grand unified theory of enumerative combinatorics
  • Analysis review
  • Topology review
  • Abstract algebra review
  • Index.

    A First Course in Enumerative Combinatorics

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      A Paperback / softback by Carl G. Wagner

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        Publisher: American Mathematical Society
        Publication Date: Publication Date: 30/01/2021
        ISBN13: 9781470459956, 978-1470459956
        ISBN10: 1470459957
        Also in:
        Not Just Books Stationery

        Description

        Book Synopsis
        Provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration and their application to counting problems for the fundamental structures of discrete mathematics.

        Table of Contents
        • Prologue: Compositions of an integer
        • Sets, functions, and relations
        • Binomial coefficients
        • Multinomial coefficients and ordered partitions
        • Graphs and trees
        • Partitions: Stirling, Lah, and cycle numbers
        • Intermission: Some unifying themes
        • Combinatorics and number theory
        • Differences and sums
        • Enumeration under group actions
        • Finite vector spaces
        • Ordered sets
        • Formal power series
        • Incidence algebra: The grand unified theory of enumerative combinatorics
        • Analysis review
        • Topology review
        • Abstract algebra review
        • Index.

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