Finite Ordered Sets

Concepts, Results and Uses

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Logic
Cover of the book Finite Ordered Sets by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nathalie Caspard, Bruno Leclerc, Bernard Monjardet ISBN: 9781107086777
Publisher: Cambridge University Press Publication: January 26, 2012
Imprint: Cambridge University Press Language: English
Author: Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
ISBN: 9781107086777
Publisher: Cambridge University Press
Publication: January 26, 2012
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book A History of Thailand by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Comparative Corporate Governance by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Nonequilibrium Statistical Physics by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book An Economic History of Europe by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Outsourcing the Board by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Martial Law and English Laws, c.1500–c.1700 by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Essentials of Positioning and Location Technology by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Globalisation and Governance by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Judaism and Imperial Ideology in Late Antiquity by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book How Capitalism Was Built by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Contraception by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book International Law Documents by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Invasive Species by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book The Spirit of Hindu Law by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
Cover of the book Visible Hands by Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy