Minkowski Geometry (Encyclopedia of Mathematics and its Applications)

✍ Scribed by A. C. Thompson

Year: 1996
Tongue: English
Leaves: 352
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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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