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 s...

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Bibliographic Details

Main Author:	Cameron, Peter J. 1947- (Author)
Format:	Book
Language:	English
Published:	Cambridge Cambridge University Press [2017]
Series:	Australian Mathematical Society lecture series 26
Subjects:	Combinatorial analysis Mathematical analysis Numeration Abzählende Kombinatorik
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 07 Jul 2017)
Physical Description:	xii, 222 Seiten
ISBN:	9781108404952 9781108417365