Classical Geometries in Modern Contexts Geometry of Real Inner Product Spaces

This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries...

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Bibliographic Details
Main Author: Benz, Walter
Format: eBook
Language:English
Published: Basel Birkhäuser 2005, 2005
Edition:1st ed. 2005
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Translation Groups
  • Euclidean and Hyperbolic Geometry
  • Sphere Geometries of Möbius and Lie
  • Lorentz Transformations