| Matrices and Graphs in Geometry Contributor(s): Fiedler, Miroslav (Author) |
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ISBN: 0521461936 ISBN-13: 9780521461931 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: March 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Matrices - Mathematics | Topology - General |
| Dewey: 516 |
| LCCN: 2010046601 |
| Series: Encyclopedia of Mathematics and Its Applications |
| Physical Information: 0.7" H x 6.1" W x 9.3" (0.95 lbs) 206 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
Contributor Bio(s): Fiedler, Miroslav: - Miroslav Fiedler is Professor Emeritus in the Institutes of Mathematics and of Computer Science at the Academy of Sciences of the Czech Republic. His many awards include the Hans Schneider Prize from the International Linear Algebra Society (ILAS) and the Medal for Merits from the President of the Czech Republic. |