Combinatorial Species and Tree-like Structures: 67 (Encyclopedia of Mathematics and its Applications, Series Number 67) - Hardcover

Bergeron, François; Labelle, Gilbert; Leroux, Pierre

Hardcover

ISBN 10: 0521573238 ISBN 13: 9780521573238

Verlag: Cambridge University Press, 1997

Inhaltsangabe

This book provides a unified understanding of the use of generating functions for labelled and unlabelled structures. Applications include graphical enumeration, Polya theory and analysis of data structures in computer science, special functions, functional equations, asymptotic analysis, and differential equations.

Über diesen Titel

Críticas:

'This book can serve as an introduction to the subject; it will also be an extremely valuable reference book.' International Mathematical News

' ... the first complete presentation in English of the combinatorial theory of species.' L'Enseignment Mathématique

' ... a comprehensive account.' Zentralblatt für Mathematik und ihre Grenzgebiete

Reseña del editor:

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.

Über diese Auflage

• Verlag: Cambridge University Press
• Erscheinungsdatum: 1997
• ISBN 10: 0521573238
• ISBN 13: 9780521573238
• Einband: Tapa dura
• Anzahl der Seiten: 480