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Combinatorial Species and Tree-Like Structures

Combinatorial Species and Tree-Like Structures

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 67

General Mathematics

ISBN10: 0521573238
ISBN13: 9780521573238
Publisher: Cambridge University Press
Published: Nov 13 1997
Pages: 480
Weight: 1.93
Height: 1.34 Width: 6.46 Depth: 9.54
Language: English
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.

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General Mathematics