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Enumerative combinatorics.. Volume 1

Stanley, Richard P., (1944-)

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Enumerative combinatorics.. Volume 1

Record Type:	Electronic resources : Monograph/item
Title/Author:	Enumerative combinatorics./ Richard P. Stanley, Foreword by Gian-Carlo Rota.
Author:	Stanley, Richard P.,
Published:	Cambridge :Cambridge University Press, : 1997.,
Description:	xi, 325 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Combinatorial enumeration problems. -
Online resource:	https://doi.org/10.1017/CBO9780511805967
ISBN:	9780511805967

Enumerative combinatorics.. Volume 1
Stanley, Richard P.,1944-

Enumerative combinatorics.Volume 1[electronic resource] /Richard P. Stanley, Foreword by Gian-Carlo Rota. - Cambridge :Cambridge University Press,1997. - xi, 325 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;49. - Cambridge studies in advanced mathematics ;49..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly 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.

ISBN: 9780511805967Subjects--Topical Terms:

706042
Combinatorial enumeration problems.

LC Class. No.: QA164.8 / .S73 1997

Dewey Class. No.: 511.62

Enumerative combinatorics.. Volume 1
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245 1 0 $a Enumerative combinatorics. $n Volume 1 $h [electronic resource] / $c Richard P. Stanley, Foreword by Gian-Carlo Rota.
260 $a Cambridge : $b Cambridge University Press, $c 1997.
300 $a xi, 325 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 49
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly 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.
650 0 $a Combinatorial enumeration problems. $3 706042
830 0 $a Cambridge studies in advanced mathematics ; $v 49. $3 3470545
856 4 0 $u https://doi.org/10.1017/CBO9780511805967