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Clifford Algebras = Geometric Modell...
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Clifford Algebras = Geometric Modelling and Chain Geometries with Application in Kinematics /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Clifford Algebras/ by Daniel Klawitter.
其他題名:
Geometric Modelling and Chain Geometries with Application in Kinematics /
作者:
Klawitter, Daniel.
面頁冊數:
XVIII, 216 p. 18 illus., 10 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Geometry. -
電子資源:
https://doi.org/10.1007/978-3-658-07618-4
ISBN:
9783658076184
Clifford Algebras = Geometric Modelling and Chain Geometries with Application in Kinematics /
Klawitter, Daniel.
Clifford Algebras
Geometric Modelling and Chain Geometries with Application in Kinematics /[electronic resource] :by Daniel Klawitter. - 1st ed. 2015. - XVIII, 216 p. 18 illus., 10 illus. in color.online resource.
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. .
ISBN: 9783658076184
Standard No.: 10.1007/978-3-658-07618-4doiSubjects--Topical Terms:
579899
Geometry.
LC Class. No.: QA440-699
Dewey Class. No.: 516
Clifford Algebras = Geometric Modelling and Chain Geometries with Application in Kinematics /
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