[Dover] Anderson – Combinatorics of Finite Sets
General:
Name: [Dover] Anderson – Combinatorics of Finite Sets
Format: pdf
Size: 2.88 MB
Book:
Title: Combinatorics of Finite Sets (Dover Books on Mathematics)
Author: Ian Anderson
Language: polski
Year: 2012
Subjects: Mathematics, Nonfiction
Publisher: Dover Publications
ISBN: 9780486422572
Total pages: 271
Description:
Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth’s theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. "An excellent text for a topics course in discrete mathematics." – Bulletin of the American Mathematical Society.
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