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Combinatorial Species and Tree-like Structures : Encyclopedia of Mathematics and Its Applications - Francois Bergeron

Combinatorial Species and Tree-like Structures

Encyclopedia of Mathematics and Its Applications

Hardcover Published: 22nd December 2003
ISBN: 9780521573238
Number Of Pages: 480

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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.

Industry Reviews

'This book can serve as an introduction to the subject; it will also be an extremely valuable reference book.' International Mathematical News ' ... the first complete presentation in English of the combinatorial theory of species.' L'Enseignment Mathematique ' ... a comprehensive account.' Zentralblatt fur Mathematik und ihre Grenzgebiete

Introduction to species of structures
Complements on species of structures
Combinatorial functional equations
Complements on types of structures
Species on totally ordered sets.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521573238
ISBN-10: 0521573238
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 480
Published: 22nd December 2003
Country of Publication: GB
Dimensions (cm): 24.23 x 16.41  x 3.4
Weight (kg): 0.88