Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Combinatorial Species and Tree-like Structures
  • Cited by 71
Publisher:
Cambridge University Press
Online publication date:
May 2013
Print publication year:
1997
Online ISBN:
9781107325913
DOI:
https://doi.org/10.1017/CBO9781107325913
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding
Series:
Encyclopedia of Mathematics and its Applications (67)
Information

Book 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.

Reviews

‘This book can serve as an introduction to the subject; it will also be an extremely valuable reference book.’

Source: International Mathematical News

‘ … the first complete presentation in English of the combinatorial theory of species.’

Source: L’Enseignment Mathématique

‘ … a comprehensive account.’

Source: Zentralblatt für Mathematik und ihre Grenzgebiete

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.