國立虎尾科技大學 |

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.,
面頁冊數:	1 online resource (xii, 222 pages) :digital, PDF file(s). :
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 (ebook)

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

Notes on counting :an introduction to enumerative combinatorics /Peter J. Cameron. - 1 online resource (xii, 222 pages) :digital, PDF file(s). - 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–Pólya theory of cycle indices, Möbius inversion, the Tutte polynomial, and species.

ISBN: 9781108277457 (ebook)Subjects--Topical Terms:

1022512
Numeration.

LC Class. No.: QA164 / .C36 2017

Dewey Class. No.: 511/.62

Notes on counting : = an introduction to enumerative combinatorics /
LDR:02035nam a22003018i 4500 001 1125356
003 UkCbUP
005 20170712101312.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2017||||enk o ||1 0|eng|d
020 $a 9781108277457 (ebook)
020 $z 9781108417365 (hardback)
020 $z 9781108404952 (paperback)
035 $a CR9781108277457
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 4 $a QA164 $b .C36 2017
082 0 4 $a 511/.62 $2 23
100 1 $a Cameron, Peter J., $e author. $3 1443525
245 1 0 $a Notes on counting : $b an introduction to enumerative combinatorics / $c Peter J. Cameron.
264 1 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a 1 online resource (xii, 222 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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–Pólya theory of cycle indices, Möbius 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
776 0 8 $i Print version: $z 9781108417365
830 0 $a Australian Mathematical Society lecture series ; $v 23. $3 1156762
856 4 0 $u https://doi.org/10.1017/9781108277457