000 03199nam a2200409 i 4500
005 20250919004354.0
008 150507s2013 flua b 001 0 eng
020 _a9781466579415 (hardback)
_cRM298.33
020 _a1466579412 (hardback)
039 9 _a201507271517
_brosli
_c201507221128
_dhamudah
_y05-07-2015
_zhamudah
040 _aDLC
_beng
_erda
_cDLC
_dYDX
_dBTCTA
_dYDXCP
_dYUS
_dZ@L
_dOCLCF
_dUKM
_erda
090 _aQA166.245.B736
090 _aQA166.245
_b.B736
100 1 _aBrown, Jason I.
_q(Jason Ira),
_d1961-
_eauthor.
245 1 0 _aDiscrete structures and their interactions /
_cJason I. Brown.
264 1 _aBoca Raton :
_bCRC Press/Taylor & Francis Group,
_c[2013].
264 4 _c©2013.
300 _axvii, 200 pages :
_billustrations ;
_c24 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
490 1 _aDiscrete mathematics and its applications
504 _aIncludes bibliographical references and index.
505 0 _aDiscrete structures : a common framework -- Graphs and directed graphs -- Preorders and partial orders -- Hypergraphs -- Complexes and multicomplexes -- Research problems -- Set theory -- Matrix theory and linear algebra -- Abstract algebra -- Probability -- Topology -- Logic.
520 _a'Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology.The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures.Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics'--
_cProvided by publisher.
650 0 _aGraph theory
_xData processing.
650 0 _aCombinatorial analysis.
650 0 _aComputer algorithms.
907 _a.b16138132
_b2019-11-12
_c2019-11-12
942 _c01
_n0
_kQA166.245.B736
914 _avtls003585722
990 _ark4
991 _aFakulti Sains dan Teknologi
998 _at
_b2015-07-05
_cm
_da
_feng
_gflu
_y0
_z.b16138132
999 _c591867
_d591867