000 02240nam a22003617a 4500
001 sulb-eb0016652
003 BD-SySUS
005 20160405140617.0
008 110131s2012||||enk o ||1 0|eng|d
020 _a9781139005135 (ebook)
020 _z9781107013698 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
_dBD-SySUS.
050 0 0 _aQA171.48
_b.C374 2012
082 0 0 _a511.3/2
_223
100 1 _aCaspard, Nathalie,
_eauthor.
245 1 0 _aFinite Ordered Sets :
_bConcepts, Results and Uses /
_cNathalie Caspard, Bruno Leclerc, Bernard Monjardet.
264 1 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (350 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aEncyclopedia of Mathematics and its Applications ;
_v144
500 _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016).
520 _aOrdered 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 _aOrdered sets
650 0 _aFinite groups
700 1 _aLeclerc, Bruno,
_eauthor.
700 1 _aMonjardet, Bernard,
_eauthor.
776 0 8 _iPrint version:
_z9781107013698
830 0 _aEncyclopedia of Mathematics and its Applications ;
_v144.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9781139005135
942 _2Dewey Decimal Classification
_ceBooks
999 _c38090
_d38090