Matrices and Graphs in Geometry
(Book #139 in the Encyclopedia of Mathematics and its Applications Series)
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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.
Format:Hardcover
Language:English
ISBN:0521461936
ISBN13:9780521461931
Release Date:March 2011
Publisher:Cambridge University Press
Length:206 Pages
Weight:0.95 lbs.
Dimensions:0.7" x 6.1" x 9.3"
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