03557nam 22006375 450 991029978640332120200703143325.03-658-07618-610.1007/978-3-658-07618-4(CKB)3710000000269793(EBL)1965723(SSID)ssj0001372564(PQKBManifestationID)11881973(PQKBTitleCode)TC0001372564(PQKBWorkID)11304859(PQKB)10084467(DE-He213)978-3-658-07618-4(MiAaPQ)EBC1965723(PPN)18209507X(EXLCZ)99371000000026979320141029d2015 u| 0engur|n|---|||||txtccrClifford Algebras[electronic resource] Geometric Modelling and Chain Geometries with Application in Kinematics /by Daniel Klawitter1st ed. 2015.Wiesbaden :Springer Fachmedien Wiesbaden :Imprint: Springer Spektrum,2015.1 online resource (228 p.)Description based upon print version of record.3-658-07617-8 Includes bibliographical references and index.Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.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.  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.  .GeometryAlgebraic geometryComputer mathematicsGeometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XGeometry.Algebraic geometry.Computer mathematics.Geometry.Algebraic Geometry.Computational Mathematics and Numerical Analysis.510516516.35518Klawitter Danielauthttp://id.loc.gov/vocabulary/relators/aut768289BOOK9910299786403321Clifford Algebras1564828UNINA