Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics - Softcover

Klawitter, Daniel

Softcover

ISBN 10: 3658076178 ISBN 13: 9783658076177

Verlag: Springer Spektrum, 2014

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.

Von der hinteren Coverseite

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.

Details zur Ausgabe

• Verlag: Springer Spektrum
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 3658076178
• ISBN 13: 9783658076177
• Einband: Taschenbuch
• Anzahl der Seiten: 236
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland