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.
| ISBN: | 9780521573238 |
| Publication date: | 13th November 1997 |
| Author: | François Université du Québec, Montréal Bergeron, Gilbert Université du Québec, Montréal Labelle, Pierre Universit Leroux |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 480 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Combinatorics and graph theory Mathematical theory of computation |
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.
Combinatorial Species and Tree-like Structures features in the following genres: Combinatorics and graph theory, Mathematical theory of computation
Combinatorial Species and Tree-like Structures is available in Hardback
Combinatorial Species and Tree-like Structures was written by François Université du Québec, Montréal Bergeron, Gilbert Université du Québec, Montréal Labelle, Pierre Universit Leroux and published by Cambridge University Press
Combinatorial Species and Tree-like Structures has 480 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£164.70