Overview
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.
- | Author: A. C. Thompson
- | Publisher: Cambridge University Press
- | Publication Date: Jun 28, 1996
- | Number of Pages: 368 pages
- | Binding: Hardback or Cased Book
- | ISBN-10: 052140472X
- | ISBN-13: 9780521404723
