Combinatorial Species and Tree-like Structures

✍ Scribed by François Bergeron, Gilbert Labelle, Pierre Leroux

Publisher: Cambridge University Press
Year: 1998
Tongue: English
Leaves: 474
Series: Encyclopedia of Mathematics and its Applications volume 67
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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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