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

• Main Author: Benz, Walter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Edition: 3rd ed. 2012.
• Subjects: Mathematics.; Geometry.; Physics.; Mathematical Methods in Physics.

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...

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.