03059cam a2200421 i 4500
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ddc
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EN
FUE
FUE
SH8
2013-01-08
Osiris Bookshop
632.00
PU
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511.32 C.N.F
00009813
2023-07-17
2013-01-08
BK
7421
7421
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20230605104743.0
111003s2012 enka b 001 0 eng
2011040516
1107013690 (hardback)
9781107013698 (hardback)
DLC
DLC
YDX
CDX
YDXCP
UKMGB
BTCTA
BWX
PUL
IXA
VRC
UtOrBLW
rda
QA171.48
.C374 2012
511.32
23
C.N.F
Caspard, Nathalie.
author
Finite ordered sets :
concepts, results and uses /
Nathalie Caspard, Bruno Leclerc, Bernard Monjardet.
Cambridge ;
New York :
Cambridge University Press,
2012.
xi, 337 pages :
illustrations ;
24 cm
rdacontent
text
rdamedia
unmediated
rdacarrier
volume
Encyclopedia of mathematics and its applications ;
144.
Includes bibliographical references and index.
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 types of connected sets of size at most 5 elements; C. The numbers of ordered sets and types of ordered sets; D. Documentation marks; List of symbols; Bibliography; Index.
"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"--
Ordered sets.
Finite groups.
Leclerc, Bruno.
author
Monjardet, Bernard,
1938-,
author
Encyclopedia of mathematics and its applications ;
v. 144.
Cover image
http://assets.cambridge.org/97811070/13698/cover/9781107013698.jpg
Contributor biographical information
http://catdir.loc.gov/catdir/enhancements/fy1117/2011040516-b.html
Publisher description
http://catdir.loc.gov/catdir/enhancements/fy1117/2011040516-d.html
Table of contents only
http://catdir.loc.gov/catdir/enhancements/fy1117/2011040516-t.html
BK
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