
Matrices and Graphs in Geometry
Miroslav Fiedler(Author)
Cambridge University Press
Published on 3. February 2011
Book
Hardback
206 pages
978-0-521-46193-1 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
10 Line drawings, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 16 mm
Weight
479 gr
ISBN-13
978-0-521-46193-1 (9780521461931)
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Schweitzer Classification
Other editions
Additional editions

Miroslav Fiedler
Matrices and Graphs in Geometry
E-Book
02/2011
1st Edition
Cambridge University Press
€85.99
Available for download
Person
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.
Content
1. A matricial approach to Euclidean geometry; 2. Qualitative properties of the angles in a simplex; 3. Special simplexes; 4. Further geometric objects; 5. Applications; Appendix; References; Index.