Finite ordered sets - Info and Reading Options
By Nathalie Caspard
"Finite ordered sets" was published by Cambridge University Press in 2012 - Cambridge and the language of the book is English.
“Finite ordered sets” Metadata:
- Title: Finite ordered sets
- Author: Nathalie Caspard
- Language: English
- Publisher: Cambridge University Press
- Publish Date: 2012
- Publish Location: Cambridge
- Dewey Decimal Classification: 511.3/2
- Library of Congress Classification: QA171.48 .C374 2012
“Finite ordered sets” Subjects and Themes:
- Subjects: ➤ Finite groups - MATHEMATICS / Discrete Mathematics - Ordered sets - Set theory
Edition Specifications:
- Pagination: p. cm.
Edition Identifiers:
- The Open Library ID: OL25086848M - OL16239666W
- Online Computer Library Center (OCLC) ID: 758844614
- Library of Congress Control Number (LCCN): 2011040516
- ISBN-13: 9781107013698
- All ISBNs: 9781107013698
AI-generated Review of “Finite ordered sets”:
"Finite ordered sets" Table Of Contents:
- 1- Machine generated contents note: Preface; 1. Concepts and examples; 2. Particular classes of ordered sets; 3. Morphisms of ordered sets; 4. Chains and antichains; 5. Ordered sets and distributive lattices; 6. Order codings and dimensions; 7. Some uses; A. About algorithmic complexity; B. The 58 non-isomorphic connected ordered sets with at most 5 elements; C. The numbers of ordered sets and of non-isomorphic ordered sets; D. Documentation marks; List of symbols; Bibliography; Index.
"Finite ordered sets" Description:
The Open Library:
"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"--
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