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Minkowski Geometry (Encyclopedia of Mathematics and its Applications)
Posted on 2010-04-13
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Author: A. C. Thompson
Publisher: Cambridge University Press (1996) Binding: Hardcover, 368 pages pricer: $140.00 ISBN-10: 052140472X editorialreviews 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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