Minkowski Geometry
A. C. Thompson "Minkowski Geometry"
Cambridge University Press | 1996-06-28 | ISBN: 052140472X | 364 pages | Djvu | 6,5 MB
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.
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Cambridge University Press Intrinsic Geometry Differential Geometry Minkowski Spaces Unit Sphere Normed Spaces Metric Properties C Thompson Dimensional Spaces Area And Volume Topological Properties Cambridge University Comprehensive Treatment Schaffer Int
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