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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMatrices and Graphs in Geometry /$fMiroslav Fiedler$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2011.
215   $a1 online resource (viii, 197 pages) $cdigital, PDF file(s)
225 1 $aEncyclopedia of mathematics and its applications ;$vvolume 139
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-46193-6 
311   $a1-299-82076-X 
320   $aIncludes bibliographical references (p. [193]-194) and index.
327   $aMatricial approach to Euclidean geometry -- Simplex geometry -- Qualitative properties of the angles in a simplex -- Special simplexes -- Further geometric objects -- Applications.
330   $aSimplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and geometry can help in visualizing the behaviour of the problem. In many cases, solving such systems may depend more on the distribution of non-zero coefficients than on their values, so graph theory is also useful. The author has discovered a method that in many (symmetric) cases helps to split huge systems into smaller parts. Many readers will welcome this book, from undergraduates to specialists in mathematics, as well as non-specialists who only use mathematics occasionally, and anyone who enjoys geometric theorems. It acquaints the reader with basic matrix theory, graph theory and elementary Euclidean geometry so that they too can appreciate the underlying connections between these various areas of mathematics and computer science.
410  0$aEncyclopedia of mathematics and its applications ;$vv. 139.
517 3 $aMatrices & Graphs in Geometry
606   $aGeometry
606   $aMatrices
606   $aGraphic methods
615  0$aGeometry.
615  0$aMatrices.
615  0$aGraphic methods.
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700   $aFiedler$b Miroslav$01607958
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906   $aBOOK
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996   $aMatrices and Graphs in Geometry$93934437
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