Matrices and Graphs in Geometry
Miroslav Fiedler
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.
Catégories:
Année:
2011
Edition:
1
Editeur::
Cambridge University Press
Langue:
english
Pages:
206
ISBN 10:
1107031702
ISBN 13:
9781107031708
Collection:
Encyclopedia of Mathematics and its Applications
Fichier:
PDF, 1.04 MB
IPFS:
,
english, 2011