Minkowski Geometry

By: A. C. Thompson, Anthony C. Thompson, G. -C Rota (Editor)

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Hardcover | 21 October 1996

At a Glance

Hardcover
368 Pages

Dimensions(cm)
23.39 x 15.6 x 2.06

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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.

Industry Reviews

' ... 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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You Can Find This Book In

Non-Fiction Mathematics Geometry Analytic Geometry Topology

The algebraic properties of linear spaces and of convex sets
Norms and norm topologies
Convex bodies
Comparisons and contrasts with Euclidean space
Two dimensional Minkowski spaces
The concept of area and content
Special properties of the Holmes-Thompson definition
Special properties of the Busemann definition
Trigonometry
Various numerical parameters
Table of Contents provided by Publisher. All Rights Reserved.

Minkowski Geometry

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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