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English
Cambridge University Press
21 October 1996
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.

By:  
Series edited by:   , , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   63
Dimensions:   Height: 242mm,  Width: 164mm,  Spine: 25mm
Weight:   718g
ISBN:   9780521404723
ISBN 10:   052140472X
Series:   Encyclopedia of Mathematics and its Applications
Pages:   368
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Reviews for Minkowski Geometry

' ... volume, isoperimetry, integral geometry and trigonometry ... all are admirably treated here by an expert in the field.' Mathematika 'This is a comprehensive monograph that will serve well both as an introduction and as a reference work.' Monatshefte fur Mathematik


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