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Combination of Finite Sets (Dover Books on Mathematics) (in English)
Ian Anderson
(Author)
·
Dover Publications
· Paperback
Combination of Finite Sets (Dover Books on Mathematics) (in English) - Anderson, Ian
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Synopsis "Combination of Finite Sets (Dover Books on Mathematics) (in English)"
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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The book is written in English.
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