Enumerative Combinatorics, Volume 1

Enumerative Combinatorics, Volume 1

by Richard P. Stanley
     
 

ISBN-10: 0521663512

ISBN-13: 9780521663519

Pub. Date: 02/28/2000

Publisher: Cambridge University Press

This book, the first of a two-volume basic introduction to enumerative combinatorics, concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. Richard Stanley covers those parts of enumerative combinatorics with the greatest applications to other areas of mathematics. The four chapters are devoted to an…  See more details below

Overview

This book, the first of a two-volume basic introduction to enumerative combinatorics, concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. Richard Stanley covers those parts of enumerative combinatorics with the greatest applications to other areas of mathematics. The four chapters are devoted to an accessible introduction to enumeration, sieve methods--including the Principle of Inclusion-Exclusion, partially ordered sets, and rational generating functions. A large number of exercises, almost all with solutions, augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

Product Details

ISBN-13:
9780521663519
Publisher:
Cambridge University Press
Publication date:
02/28/2000
Series:
Cambridge Studies in Advanced Mathematics Series, #49
Edition description:
Older Edition
Pages:
340
Product dimensions:
5.98(w) x 8.98(h) x 0.75(d)

Table of Contents

1. What is enumerative combinatorics?; 2. Sieve methods; 3. Partially ordered sets; 4. Rational generating functions.

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