Emphasises the powerful methods arising from the fusion of combinatorial techniques with programming, linear algebra, and probability theory.
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The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
'The presentation is very good and the book should be understandable for a non-specialist.' European Mathematical Society
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Etat : New. Emphasises the powerful methods arising from the fusion of combinatorial techniques with programming, linear algebra, and probability theory. Series Editor(s): Rota, G.-C.; Doran, B.; Ismail, M.; Lam, T. Y.; Wutwak, E.; Flajolet, Philippe; Lutwak, E. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 432 pages, 25 b/w illus. 1 table. BIC Classification: PBCH; PBV. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 24. Weight in Grams: 820. . 1997. hardcover. . . . . N° de réf. du vendeur V9780521452069
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents results on and applications of extremal problems in finite sets and finite posets from a unified point of view. The emphasis is on the powerful methods arising from the fusion of combinatorial techniques with programming, linear algebra, . N° de réf. du vendeur 446936092
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Hardcover. Etat : new. Hardcover. Sperner's theorem stimulated the development of a fast-growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. This book presents results on and applications of extremal problems in finite sets and finite posets from a unified point of view. The emphasis is on the methods arising from the fusion of combinatorial techniques with programming, linear algebra, eigenvalue methods, and probability theory. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521452069
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