| Minkowski Geometry Contributor(s): Thompson, A. C. (Author) |
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ISBN: 1107325846 ISBN-13: 9781107325845 Publisher: Cambridge University Press OUR PRICE: $156.75 Product Type: Open Ebook Published: May 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Geometry - Analytic |
| Dewey: 516.374 |
| Series: Encyclopedia of Mathematics and Its Applications |
| Descriptions, Reviews, Etc. |
| Publisher Description: This is a comprehensive treatment of Minkowski geometry. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterizations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces--a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere. |