Combinatorics of Finite Sets (Dover Books on Mathematics)

Ian Anderson

ISBN 10: 0486422577 / ISBN 13: 9780486422572

Edité par Dover Publications, 2011

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Synopsis :

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.

Présentation de l'éditeur: 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.

Détails bibliographiques

Titre : Combinatorics of Finite Sets (Dover Books on...
Éditeur : Dover Publications
Date d'édition : 2011
Reliure : paperback
Etat : Good