लोड हो रहा है...
Finite ordered sets : concepts, results and uses /
"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....
| मुख्य लेखकों: | , , |
|---|---|
| स्वरूप: | Printed Book |
| भाषा: | English |
| प्रकाशित: |
Cambridge ; New York :
Cambridge University Press,
2012.
|
| श्रृंखला: | Encyclopedia of mathematics and its applications ;
v. 144. |
| विषय: | |
| ऑनलाइन पहुंच: | Cover image Contributor biographical information Publisher description Table of contents only |
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| 020 | |a 1107013690 (hardback) | ||
| 020 | |a 9781107013698 (hardback) | ||
| 035 | |a (OCoLC)ocn758844614 | ||
| 042 | |a pcc | ||
| 082 | 0 | 0 | |a 511.3/2 |2 23 |
| 084 | |a MAT008000 |2 bisacsh | ||
| 100 | 1 | |a Caspard, Nathalie. | |
| 245 | 1 | 0 | |a Finite ordered sets : |b concepts, results and uses / |c Nathalie Caspard, Bruno Leclerc, Bernard Monjardet. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2012. | ||
| 300 | |a xi, 337 p. : |b ill. ; |c 24 cm. | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v 144 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a 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 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. | |
| 520 | |a "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"-- | ||
| 650 | 0 | |a Ordered sets. | |
| 650 | 0 | |a Finite groups. | |
| 700 | 1 | |a Leclerc, Bruno. |e Author. | |
| 700 | 1 | |a Monjardet, Bernard, |e Author. | |
| 856 | 4 | 2 | |3 Cover image |u http://assets.cambridge.org/97811070/13698/cover/9781107013698.jpg |
| 856 | 4 | 2 | |3 Contributor biographical information |u http://catdir.loc.gov/catdir/enhancements/fy1117/2011040516-b.html |
| 856 | 4 | 2 | |3 Publisher description |u http://catdir.loc.gov/catdir/enhancements/fy1117/2011040516-d.html |
| 856 | 4 | 1 | |3 Table of contents only |u http://catdir.loc.gov/catdir/enhancements/fy1117/2011040516-t.html |
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| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v v. 144. | |
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| 955 | |b rg11 2011-10-03 (telework) |c rg11 2011-10-03 ONIX (telework) to Gen Sci/Tech (STM) |a xn02 2012-04-12 1 copy rec'd., to CIP ver. | ||
| 952 | |0 0 |1 0 |2 ddc |4 0 |6 511_300000000000000_2 |7 0 |9 383410 |a MAT |b MAT |c ST1 |d 2019-05-10 |i 6042 |l 0 |o 511.3/2 |p MAT6042 |r 2019-05-10 |w 2019-05-10 |y BK | ||