About: Matrices and Graphs in Geometry

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and geometry can help in visualizing the behaviour of the problem. In many cases, solving such systems may depend more on the distribution of non-zero coefficients than on their values, so graph theory is also useful. The author has discovered a method that in many (symmetric) cases helps to split huge systems into smaller parts. Many readers will welcome this book, from undergraduates to specialists in mathematics, as well as non-specialists who only use mathematics occasionally, and anyone who enjoys geometric theorems. It acquaints the reader with basic matrix theory, graph theory and elementary Euclidean geometry so that they too can appreciate the underlying connections between these various areas of mathematics and computer science. Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and geometry can help in visualizing the behaviour of the problem. In many cases, solving such systems may depend more on the distribution of non-zero coefficients than on their values, so graph theory is also useful. The author has discovered a method that in many (symmetric) cases helps to split huge systems into smaller parts. Many readers will welcome this book, from undergraduates to specialists in mathematics, as well as non-specialists who only use mathematics occasionally, and anyone who enjoys geometric theorems. It acquaints the reader with basic matrix theory, graph theory and elementary Euclidean geometry so that they too can appreciate the underlying connections between these various areas of mathematics and computer science. (en)
Title	Matrices and Graphs in Geometry Matrices and Graphs in Geometry (en)
skos:prefLabel	Matrices and Graphs in Geometry Matrices and Graphs in Geometry (en)
skos:notation	RIV/67985807:_____/11:00356557!RIV11-AV0-67985807
http://linked.open...avai/predkladatel	Ústav informatiky AV ČR, v.v.i.
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z10300504)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Fiedler, Miroslav
http://linked.open.../riv/druhVysledku	B - Odborná kniha
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	210958
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/11:00356557
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Euclidean space; graph; matrix; simplex; orthocentric simplex; cyclic simplex; hyperacute simplex; spherical simplex; inverse simplex; angle; face; triangle; tetrahedron; simplicial cone; polar cone; Menger matrix; Gramian; Laplacian matrix; resistive electrical network (en)
http://linked.open.../riv/klicoveSlovo	graph angle face matrix simplex tetrahedron Euclidean space Gramian Laplacian matrix Menger matrix cyclic simplex hyperacute simplex inverse simplex orthocentric simplex polar cone resistive electrical network simplicial cone spherical simplex triangle
http://linked.open...ontrolniKodProRIV	[98EF5DF8A2FC]
http://linked.open...i/riv/mistoVydani	Cambridge
http://linked.open...vEdiceCisloSvazku	Encyclopedia of Mathematics and Its Application...
http://linked.open...i/riv/nazevZdroje	Matrices and Graphs in Geometry
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	206 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Fiedler, Miroslav
http://linked.open...n/vavai/riv/zamer	Informatika pro informační společnost: modely, algoritmy, aplikace
number of pages	206 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Cambridge University Press
https://schema.org/isbn	978-0-521-46193-1
is http://linked.open...avai/riv/vysledek of	Matrices and Graphs in Geometry Matrices and Graphs in Geometry

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