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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	Juni 2017
Genre:	Schulbücher
	Combinatorics & graph theory / Combinatorics and graph theory / Discrete Mathematics / MATHEMATICS / Combinatorics / MATHEMATICS / Discrete Mathematics
ISBN:	9781108417365
EAN-Code:	9781108417365
Verlag:	Cambridge Academic
Einband:	Gebunden
Sprache:	English
Serie:	Australian Mathematical Society Lecture Series
Dimensionen:	H 235 mm / B 156 mm / D 17 mm
Gewicht:	460 gr
Illustration:	17 b/w illus. 140 exercises, Zeichnungen, schwarz-weiss, Raster,schwarz-weiss, Worked examples or Exercises
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.