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020 _a9780511973611
082 _a516
_bF452M
100 _aFiedler, Miroslav.
_eAuthor
_lEnglish
_91952
245 0 _aMatrices and Graphs in Geometry
_c/ by Miroslav Fiedler.
_h[Electronic Resource]
260 _aCambridge
_b: Cambridge University Press,
_c2011
300 _aviii, 197p.
440 _aEncyclopedia of Mathematics and its Applications
_915760
520 _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.
650 _aGeometry
_918
650 _aGraphs
_91954
650 _aMathematics
_913
650 _aMatrices
_91955
856 _uhttps://doi.org/10.1017/CBO9780511973611
_qPDF
_yClick to Access the Online Book
942 _cEBK
_nYes
999 _c12271
_d12271