國立虎尾科技大學 |

登入

回首頁

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:	Numeration. -
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:

1022512
Numeration.

LC Class. No.: QA164 / .C36 2017

Dewey Class. No.: 511.62

Notes on counting = an introduction to enumerative combinatorics /
LDR:01897nam a2200277 a 4500 001 1041058
003 UkCbUP
005 20170712101312.0
006 m d
007 cr nn 008maaau
008 211215s2017 enka o 1 0 eng d
020 $a 9781108277457 $q (electronic bk.)
020 $a 9781108417365 $q (hardback)
020 $a 9781108404952 $q (paperback)
035 $a CR9781108277457
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA164 $b .C36 2017
082 0 4 $a 511.62 $2 23
090 $a QA164 $b .C182 2017
100 1 $a Cameron, Peter J. $3 1340134
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 Numeration. $3 1022512
650 0 $a Mathematical analysis. $3 527926
650 0 $a Combinatorial analysis. $3 527896
830 0 $a Australian Mathematical Society lecture series ; $v 23. $3 1156762
856 4 0 $u https://doi.org/10.1017/9781108277457

筆 0 讀者評論

多媒體

評論

新增評論分享你的心得

Export

取書館別