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Enumerative Combinatorics. Vol. 1

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Enumerative Combinatorics. Vol. 1 Synopsis

This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

About This Edition

ISBN: 9780521663519
Publication date: 28th February 2000
Author: Richard P Stanley
Publisher: Cambridge University Press
Format: Paperback
Pagination: 326 pages
Series: Cambridge Studies in Advanced Mathematics
Genres: Combinatorics and graph theory