Please use this identifier to cite or link to this item: http://dl.pgu.ac.ir/handle/Hannan/9977
Title: Clifford Algebras;Geometric Modelling and Chain Geometries with Application in Kinematics /
Authors: Kl Awitter, D Aniel
Keywords: Mathematics;Geometry, algebraic;Computer Science;Mathematics;Geometry;Mathematics;Geometry;Algebraic Geometry;Computational Mathematics and Numerical Analysis;516 23;QA440-699
Issue Date: 2015
Publisher: Springer Fachmedien Wiesbaden;Imprint Springer Spektrum,
place: Wiesbaden
Abstract: 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. ??
Description: Printed edition:;9783658076177.
Table Of Contents: Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
URI: http://dl.pgu.ac.ir/handle/Hannan/9977
ISBN: 9783658076184
9783658076177 (print)
Format: [electronic resource] :
Type Of Material: Book
Appears in Collections:Mathematics

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