Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces

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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. For these spaces X also the sphere geometries of MAbius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. ...

Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces 2007, Springer, Basel, Switzerland

ISBN-13: 9783764385408

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Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces 2005, Birkhauser Basel, Basel, Switzerland

ISBN-13: 9783764373719

Hardcover

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