Combinatorial Species and Tree-like Structures
Series: Encyclopedia of Mathematics and its Applications; 67;
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Publisher Cambridge University Press
- Date of Publication 13 November 1997
- ISBN 9780521573238
- Binding Hardback
- No. of pages480 pages
- Size 243x162x32 mm
- Weight 800 g
- Language English
- Illustrations 135 b/w illus. 19 tables 0
Categories
Short description:
Provides a unified understanding of the use of generating functions for labelled and unlabelled structures.
MoreLong description:
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.
'This book can serve as an introduction to the subject; it will also be an extremely valuable reference book.' International Mathematical News
Table of Contents:
1. Introduction to species of structures; 2. Complements on species of structures; 3. Combinatorial functional equations; 4. Complements on types of structures; 5. Species on totally ordered sets.
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