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.
| ISBN: | 9780521452069 |
| Publication date: | 28th January 1997 |
| Author: | Konrad Universität Rostock, Germany Engel |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 432 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Combinatorics and graph theory Set theory |
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.
Sperner Theory features in the following genres: Combinatorics and graph theory, Set theory
Sperner Theory is available in Hardback
Sperner Theory was written by Konrad Universität Rostock, Germany Engel and published by Cambridge University Press
Sperner Theory has 432 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£126.90