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Notes on counting = an introduction ...

Cameron, Peter J.

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Notes on counting = an introduction to enumerative combinatorics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Notes on counting/ Peter J. Cameron.
Reminder of title:	an introduction to enumerative combinatorics /
Author:	Cameron, Peter J.
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	xii, 222 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 07 Jul 2017).
Subject:	Combinatorial analysis. -
Online resource:	https://doi.org/10.1017/9781108277457
ISBN:	9781108277457

Notes on counting = an introduction to enumerative combinatorics /
Cameron, Peter J.

Notes on countingan introduction to enumerative combinatorics /[electronic resource] :Peter J. Cameron. - Cambridge :Cambridge University Press,2017. - xii, 222 p. :ill., digital ;24 cm. - Australian Mathematical Society lecture series ;26. - Australian Mathematical Society lecture series ;26..

Title from publisher's bibliographic system (viewed on 07 Jul 2017).

Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield-Polya theory of cycle indices, Mobius inversion, the Tutte polynomial, and species.

ISBN: 9781108277457Subjects--Topical Terms:

523878
Combinatorial analysis.

LC Class. No.: QA164 / .C36 2017

Dewey Class. No.: 511.62

Notes on counting = an introduction to enumerative combinatorics /
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100 1 $a Cameron, Peter J. $3 3507357
245 1 0 $a Notes on counting $h [electronic resource] : $b an introduction to enumerative combinatorics / $c Peter J. Cameron.
260 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a xii, 222 p. : $b ill., digital ; $c 24 cm.
490 1 $a Australian Mathematical Society lecture series ; $v 26
500 $a Title from publisher's bibliographic system (viewed on 07 Jul 2017).
520 $a Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield-Polya theory of cycle indices, Mobius inversion, the Tutte polynomial, and species.
650 0 $a Combinatorial analysis. $3 523878
650 0 $a Mathematical analysis. $3 516833
650 0 $a Numeration. $3 570406
830 0 $a Australian Mathematical Society lecture series ; $v 26. $3 3507358
856 4 0 $u https://doi.org/10.1017/9781108277457