Classical geometries in modern contexts : Geometry of real inner product spaces
- Author
- Walter Benz
- Publication Year
- 2007
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
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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.
Keywords: Mathematics and Statistics / Classical geometry / Finite / Hyperbolic geometry / Inner product space / Lie / Lorentz transformation / Natural / Sphere geometry / Algebra / Boundary element method / Character / Form / Geometry / Theorem / Transformation