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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 Möbius and Lie are studied (besides euclidean and hyperbolic geometry)

Title : Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces
Author : Walter Benz
Language : en
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Type : PDF, ePub, Kindle
Uploaded : Apr 11, 2021

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