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...
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...
Mit Hilfe der reellen Algebren der komplexen Zahlen, dualen Zahlen, anormal-komplexen Zahlen konnen Mobiusgeometrie (Geometrie der Kreise), Laguerre- bzw. Liegeometrie, pseudoeuklidische Geometrie (Minkowskigeometrie) behandelt werden. Das geschieht fiir die erst genannte Geometrie in der Geometrie der komplexen Zahlen. - Diese Zusammenhange bilden den Hintergrund des vorliegenden Buches. In Verfolg axiomatischer Begrtindungen der augegebenen Geometrien wurde del" Bereich der vorweg genannten reellen Algebren ausgedehnt: 1st Sl' ein quadratisch nicht abgeschlossener kommutativer Korper, 2...
Mit Hilfe der reellen Algebren der komplexen Zahlen, dualen Zahlen, anormal-komplexen Zahlen konnen Mobiusgeometrie (Geometrie der Kreise), Laguerre- ...
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...
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...
