Posted by **naag** at Jan. 10, 2016

English | ISBN: 1107013690 | 2013 | 350 pages | Epub | 0.5 MB

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.

Posted by **roxul** at Nov. 2, 2015

English | ISBN: 1107013690 | 2013 | 350 pages | PDF | 2 MB

Posted by **nebulae** at Dec. 30, 2013

English | ISBN: 1107013690 | 2013 | 350 pages | PDF | 2 MB

Posted by **Underaglassmoon** at May 16, 2016

Birkhäuser | Mathematics Textbook | June 12, 2016 | ISBN-10: 3319297864 | 392 pages | pdf | 8.28 mb

Authors: Schröder, Bernd

Uses a modular presentation in which core material is kept brief, allowing for a broad exposure to the subject without overwhelming readers with too much information all at once

Introduces topics by examining how they related to research problems, providing continuity among diverse topics and encouraging readers to explore these problems with research of their own

Posted by **step778** at May 5, 2017

Posted by **arundhati** at Feb. 3, 2015

2011 | ISBN-10: 1441975845 | 474 pages | PDF | 5 MB

Posted by **tanas.olesya** at Dec. 25, 2014

English | Sep 19, 2008 | ISBN: 0387789006 | 315 Pages | PDF | 1 MB

This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study.

Posted by **interes** at April 3, 2014

English | 2005-02-17 | ISBN: 0387242198 | 399 pages | PDF | 10,4 mb

The textbook literature on ordered sets is still rather limited, so a lot of the material presented in this book is published for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail.

Posted by **arundhati** at Nov. 20, 2013

2010 | ISBN: 1441975845 | 474 pages | PDF | 4,9 MB

Posted by **Direktor69** at Aug. 6, 2013

ISBN: 0387242198 | edition 2005 | PDF | 390 pages | 18 mb

The textbook literature on ordered sets is still rather limited, so a lot of the material presented in this book is published for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail. The book treats in detail lexicographic products and their connections with universally ordered sets, and it also provides thorough investigations on the structure of power sets.