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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Bibliographische Detailangaben

1. Verfasser:	Cameron, Peter J. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2017
Schriftenreihe:	Australian Mathematical Society lecture series 26
Schlagworte:	Combinatorial analysis Mathematical analysis Numeration Abzählende Kombinatorik
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 07 Jul 2017)
Beschreibung:	1 online resource (xii, 222 pages)
ISBN:	9781108277457
DOI:	10.1017/9781108277457