Clifford Algebras

Geometric Modelling and Chain Geometries with Application in Kinematics

Paperback Engels 2014 2015e druk 9783658076177
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Samenvatting

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework.

Specificaties

ISBN13:9783658076177
Taal:Engels
Bindwijze:paperback
Aantal pagina's:216
Uitgever:Springer Fachmedien Wiesbaden
Druk:2015

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Inhoudsopgave

Models and representations of classical groups.- Clifford algebras, chain geometries over Clifford algebras.- Kinematic mappings for Pin and Spin groups.- Cayley-Klein geometries.

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€ 60,99
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        Clifford Algebras