Overview

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.

Full Product Details

9781107325913

Table of Contents

Reviews

'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 Mathematique ' ... a comprehensive account.' Zentralblatt fur Mathematik und ihre Grenzgebiete

'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 Mathematique ' ... a comprehensive account.' Zentralblatt fur Mathematik und ihre Grenzgebiete This is an excellent account of the theory of species, and should make this powerful approach to an important area of combinatorics much more accessible. Mathematical Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available