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Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.
From the Back Cover
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
TargetGroups
- 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.
"About this title" may belong to another edition of this title.
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Clifford Algebras
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Springer Fachmedien Wiesbaden Nov 2014, 2014
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 236 pp. Englisch. Seller Inventory # 9783658076177
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Clifford Algebras
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 236 pp. Englisch. Seller Inventory # 9783658076177
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Clifford Algebras : Geometric Modelling and Chain Geometries with Application in Kinematics
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783658076177