Classical Geometries in Modern Contexts Geometry of Real Inner Product Spaces Third Edition

The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and gen...

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Bibliographic Details
Main Author: Benz, Walter
Format: eBook
Language:English
Published: Basel Springer Basel 2012, 2012
Edition:3rd ed. 2012
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 1 Translation Groups
  • 2 Euclidean and Hyperbolic Geometry
  • 3 Sphere Geometries of Möbius and Lie
  • 4 Lorentz Transformations
  • 5 δ–Projective Mappings, Isomorphism Theorems
  • 6 Planes of Leibniz, Lines of Weierstrass, Varia
  • A Notation and symbols
  • B Bibliography
  • Index