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