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Notes on counting = an introduction ...

Cameron, Peter J.

Notes on counting = an introduction to enumerative combinatorics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Notes on counting/ Peter J. Cameron.
其他題名:	an introduction to enumerative combinatorics /
作者:	Cameron, Peter J.
出版者:	Cambridge :Cambridge University Press, : 2017.,
面頁冊數:	xii, 222 p. :ill., digital ; : 24 cm.;
附註:	Title from publisher's bibliographic system (viewed on 07 Jul 2017).
標題:	Combinatorial analysis. -
電子資源:	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 ;23..

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:

527896
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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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.
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