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Combinatorial Species and Tree-like Structures

Combinatorial Species and Tree-like Structures

$232.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: November 1997
  • availability: Available
  • format: Hardback
  • isbn: 9780521573238

$ 232.00 (C)
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About the Authors
  • The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labeled and unlabeled structures as well as a tool for the specification and analysis of these structures. This key reference presents the basic elements of the theory and gives a unified account of its developments and applications. The authors offer a modern introduction to the use of various generating functions, with applications to graphical enumeration, Polya Theory and analysis of data structures in computer science, and to other areas such as special functions, functional equations, asymptotic analysis, and differential equations.

    • A clear and modern explanation of when to use the different types of generating series
    • Over 350 exercises of varied difficulty
    • Results are summarised into tables of species and associated generating species
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    Reviews & endorsements

    "This is an excellent account of the theory of species, and should make this powerful approach to an important area of combinatorics much more accessible." Mathematical Reviews

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    Product details

    • Date Published: November 1997
    • format: Hardback
    • isbn: 9780521573238
    • length: 480 pages
    • dimensions: 242 x 164 x 34 mm
    • weight: 0.88kg
    • contains: 135 b/w illus. 19 tables
    • availability: Available
  • Table of Contents

    1. Introduction to species of structures
    2. Complements on species of structures
    3. Combinatorial functional equations
    4. Complements on types of structures
    5. Species on totally ordered sets.

  • Authors

    François Bergeron, Université du Québec, Montréal

    Gilbert Labelle, Université du Québec, Montréal

    Pierre Leroux, Université du Québec, Montréal

    Translator

    Margaret Readdy

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