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Finite Ordered Sets

Name: Finite Ordered Sets
Brand: Cambridge University Press
SKU: 04428621
Price: 48600 HUF
Availability: InStock
Author: Nathalie Caspard
ISBN: 9781107013698

Concepts, Results and Uses

Nathalie Caspard

Language

English

Book Hardback

Libristo code: 04428621

Publishers Cambridge University Press, January 2012

Ordered sets are ubiquitous in mathematics and have significant applications in computer science, st... Full description

Libristo code: 04428621

331 b

48 600 Ft

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Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.