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Discrete structures and their intera...
~
Brown, Jason I. (1961-)
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Discrete structures and their interactions /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Discrete structures and their interactions // Jason I. Brown.
作者:
Brown, Jason I.
出版者:
Boca Raton :CRC Press/Taylor & Francis Group, : c2013.,
面頁冊數:
xvii, 200 p. :ill. ;25 cm.
標題:
Combinatorial analysis. -
ISBN:
9781466579415
Discrete structures and their interactions /
Brown, Jason I.1961-
Discrete structures and their interactions /
Jason I. Brown. - Boca Raton :CRC Press/Taylor & Francis Group,c2013. - xvii, 200 p. :ill. ;25 cm. - Discrete mathematics and its applications.
Includes bibliographical references (p. 185-193) and index.
"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"--
ISBN: 9781466579415UK54.99
LCCN: 2013014910Subjects--Topical Terms:
523878
Combinatorial analysis.
LC Class. No.: QA166.245 / .B76 2013
Dewey Class. No.: 512/.55
Discrete structures and their interactions /
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Discrete mathematics and its applications
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"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"--
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655277
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