[DOWNLOAD] "Finite Ordered Sets" by Nathalie Caspard, Bruno Leclerc & Bernard Monjardet ~ Book PDF Kindle ePub Free

eBook details

Title: Finite Ordered Sets
Author : Nathalie Caspard, Bruno Leclerc & Bernard Monjardet
Release Date : January 26, 2012
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 28505 KB

Description

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.