Combinatorial species and tree-like structures / F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy.
The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labelled and unlabelled structures and as a tool for the specification and analysis of these structures. Of particular importance is their capacity to transf...
| Uniform Title: | Théorie des espèces et combinatoire des structures arborescentes.
English Encyclopedia of mathematics and its applications ; v. 67. |
|---|---|
| Main Authors: | |
| Other Authors: | |
| Language: | English |
| Language of the Original: |
French |
| Published: |
Cambridge :
Cambridge University Press,
1998.
|
| Series: | Encyclopedia of mathematics and its applications ;
v. 67. |
| Subjects: | |
| Online Access: | |
| Physical Description: | 1 online resource (xx, 457 pages) : digital, PDF file(s). |
| Variant Title: |
Combinatorial Species & Tree-like Structures. |
| Format: | Electronic eBook |
MARC
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| 245 | 1 | 0 | |a Combinatorial species and tree-like structures / |c F. Bergeron, G. Labelle, P. Leroux ; translated from the French by Margaret Readdy. |
| 246 | 3 | |a Combinatorial Species & Tree-like Structures. | |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 1998. | |
| 300 | |a 1 online resource (xx, 457 pages) : |b digital, PDF file(s). | ||
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v volume 67 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | 0 | |t Species of structures -- |t Complements on species of structures -- |t Combinatorial functional equations -- |t Complements on unlabeled enumeration -- |t Species on totally ordered sets -- |t Group actions and Pólya Theory. |
| 520 | |a The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labelled and unlabelled structures and as a tool for the specification and analysis of these structures. Of particular importance is their capacity to transform recursive definitions of tree-like structures into functional or differential equations, and vice versa. The goal of this book is to present the basic elements of the theory and to give a unified account of its developments and applications. It offers 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. This book will be a valuable reference to graduate students and researchers in combinatorics, analysis, and theoretical computer science. | ||
| 650 | 0 | |a Combinatorial enumeration problems. |0 http://id.loc.gov/authorities/subjects/sh85028804 | |
| 700 | 1 | |a Labelle, Gilbert, |d 1944- |e author. |0 http://id.loc.gov/authorities/names/n86869116 | |
| 700 | 1 | |a Leroux, P. |q (Pierre), |d 1942- |e author. |0 http://id.loc.gov/authorities/names/n86869119 | |
| 700 | 1 | |a Readdy, Margaret, |e translator. | |
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