Minkowski Geometry (Encyclopedia of Mathematics and its Applications)

minkowski geometry (encyclopedia of mathematics and its applications)

more information about Minkowski Geometry (Encyclopedia of Mathematics and its Applications)

Minkowski Geometry (Encyclopedia of Mathematics and its Applications)

Editorial Reviews
Review
' ... 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 für Mathematik

Book Description
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.

Minkowski Geometry (Encyclopedia of Mathematics and its Applications),A. C. Thompson,G.-C. Rota,B. Doran,M. Ismail,T. Y. Lam,E. Wutwak,P. Flajolet,E. Lutwak,Cambridge University Press,052140472X,Geometry,Geometry - Analytic,Geometry - General,Mathematics,Minkowski geometry,Science/Mathematics,Analytic geometry,Mathematics / Applied

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