Finite Ordered Sets: Concepts, Results and Uses

Nathalie Caspard,Bruno Leclerc (Ecole des Hautes Etudes en Sciences Sociales, Paris),Bernard Monjardet (Universite de Paris I)

Finite Ordered Sets: Concepts, Results and Uses
Format
Hardback
Publisher
Cambridge University Press
Country
United Kingdom
Published
26 January 2012
Pages
350
ISBN
9781107013698

Finite Ordered Sets: Concepts, Results and Uses

Nathalie Caspard,Bruno Leclerc (Ecole des Hautes Etudes en Sciences Sociales, Paris),Bernard Monjardet (Universite de Paris I)

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.

This item is not currently in-stock. It can be ordered online and is expected to ship in approx 2 weeks

Our stock data is updated periodically, and availability may change throughout the day for in-demand items. Please call the relevant shop for the most current stock information. Prices are subject to change without notice.

Sign in or become a Readings Member to add this title to a wishlist.