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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Detalles Bibliográficos
Autor principal: Benz, Walter
Lenguaje:eng
Publicado: Springer 2012
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0348-0420-2
http://cds.cern.ch/record/1488775
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author Benz, Walter
author_facet Benz, Walter
author_sort Benz, Walter
collection CERN
description 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 general distances of X. Also for these spaces X, it studies the sphere geometries of Mobius and Lie as well as geometries where Lorentz transformations play the key role. Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for insta
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institution Organización Europea para la Investigación Nuclear
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publishDate 2012
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spelling cern-14887752021-04-22T00:10:00Zdoi:10.1007/978-3-0348-0420-2http://cds.cern.ch/record/1488775engBenz, WalterClassical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third EditionMathematical Physics and MathematicsThe 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 general distances of X. Also for these spaces X, it studies the sphere geometries of Mobius and Lie as well as geometries where Lorentz transformations play the key role. Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instaSpringeroai:cds.cern.ch:14887752012
spellingShingle Mathematical Physics and Mathematics
Benz, Walter
Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
title Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
title_full Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
title_fullStr Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
title_full_unstemmed Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
title_short Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
title_sort classical geometries in modern contexts: geometry of real inner product spaces third edition
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0348-0420-2
http://cds.cern.ch/record/1488775
work_keys_str_mv AT benzwalter classicalgeometriesinmoderncontextsgeometryofrealinnerproductspacesthirdedition

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