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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Encyclopedia of Mathematics and its Applications |
Release date: |
February 2011 |
First published: |
February 2011 |
Authors: |
Miroslav Fiedler
|
Dimensions: |
240 x 165 x 16mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
206 |
ISBN-13: |
978-0-521-46193-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
0-521-46193-6 |
Barcode: |
9780521461931 |
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