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200 10$aClifford Algebras$b[electronic resource] $eGeometric Modelling and Chain Geometries with Application in Kinematics /$fby Daniel Klawitter
205   $a1st ed. 2015.
210  1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2015.
215   $a1 online resource (228 p.)
300   $aDescription based upon print version of record.
311   $a3-658-07617-8 
320   $aIncludes bibliographical references and index.
327   $aModels and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
330   $aAfter 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.  Contents Models and representations of classical groups Clifford algebras, chain geometries over Clifford algebras Kinematic mappings for Pin and Spin groups Cayley-Klein geometries Target Groups Researchers and students in the field of mathematics, physics, and mechanical engineering About the Author Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.  .
606   $aGeometry
606   $aAlgebraic geometry
606   $aComputer mathematics
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
615  0$aGeometry.
615  0$aAlgebraic geometry.
615  0$aComputer mathematics.
615 14$aGeometry.
615 24$aAlgebraic Geometry.
615 24$aComputational Mathematics and Numerical Analysis.
676   $a510
676   $a516
676   $a516.35
676   $a518
700   $aKlawitter$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768289
906   $aBOOK
912   $a9910299786403321
996   $aClifford Algebras$91564828
997   $aUNINA