Finite ordered sets: concepts, results and uses, Vol. 144

By:

Caspard, Nathalie

Contributor(s):

Series: Encyclopedia of mathematics and its applicationsPublication details: Cambridge University Press, 2012. Cambridge:Description: xi; 337 p. hb; 24 cmISBN:

9781107013698

Subject(s):

DDC classification:

511.32 CAS

Summary: 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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	511.32 CAS (Browse shelf(Opens below))	1	Available		029027

Browsing IIT Gandhinagar shelves, Collection: General Close shelf browser (Hides shelf browser)

Previous								Next
Previous	511.3 VEL How to prove it: a structured approach	511.3 WIG Mathematics and computation: a theory revolutionizing technology and science	511.32 BEL Toposes and local set theories: an introduction	511.32 CAS Finite ordered sets: concepts, results and uses, Vol. 144	511.32 ENG Sperner theory, Vol. 65	511.32 PLO Hausdorff on ordered sets	511.322 BAB Write your own proofs: in set theory and discrete mathematics	Next

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.

There are no comments on this title.

to post a comment.