Combinatorics of finite sets PDF
By:Ian Anderson (Ph. D.)
Published on 1987-02-26 by Oxford University Press, USA
The combinatorial study of finite set systems is a lively area of research unified by the gradual discovery of structural insights and widely applicable proof techniques. This book is the first coherent and up-to-date account of the basic methods and results of this study. Much of the material in the book concerns subsets of a set, but chapters also cover more general partially ordered sets. For example, the Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is discussed, 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 presented. Each chapter ends with a collection of exercises for which outline solutions are provided, and there is an extensive bibliography. The work is important for postgraduate students and researchers in discrete mathematics and related subjects.
This Book was ranked at 14 by Google Books for keyword mathematics about sets.
Book ID of Combinatorics of finite sets's Books is RPjuAAAAMAAJ, Book which was written byIan Anderson (Ph. D.)have ETAG "HSH9jLdz540"
Book which was published by Oxford University Press, USA since 1987-02-26 have ISBNs, ISBN 13 Code is 9780198533672 and ISBN 10 Code is 0198533675
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