Minkowski Geometry

By:

A C Thompson

Format:

Hardback

Series:

Encyclopedia of Mathematics and Its Applications

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Description

Minkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. 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 characterisations 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. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.

Release date NZ

June 28th, 1996

Author

A C Thompson

Audience

Professional & Vocational

Illustrations

16 Halftones, unspecified; 34 Line drawings, unspecified

Pages

368

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

164x242x25

ISBN-13

9780521404723

Product ID

2077261

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