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.Read more
- Mathematical explanations are accessible to non-specialists
- Helps the reader to understand and visualise geometry in higher dimensions
- Contains applications to various fields, including electrical networks
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: February 2011
- format: Hardback
- isbn: 9780521461931
- length: 206 pages
- dimensions: 240 x 165 x 16 mm
- weight: 0.47kg
- contains: 10 b/w illus.
- availability: Available
Table of Contents
1. A matricial approach to Euclidean geometry
2. Qualitative properties of the angles in a simplex
3. Special simplexes
4. Further geometric objects
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×