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Clifford Algebras : Geometric Modelling and Chain Geometries with Application in Kinematics / by Daniel Klawitter.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Klawitter, Daniel, Author.
- Language:
- English
- Subjects (All):
- Geometry.
- Geometry, Algebraic.
- Computer science--Mathematics.
- Computer science.
- Algebraic Geometry.
- Computational Mathematics and Numerical Analysis.
- Local Subjects:
- Geometry.
- Algebraic Geometry.
- Computational Mathematics and Numerical Analysis.
- Physical Description:
- 1 online resource (228 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2015.
- Language Note:
- English
- Summary:
- 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. .
- Contents:
- Models and representations of classical groups
- Clifford algebras, chain geometries over Clifford algebras
- Kinematic mappings for Pin and Spin groups
- Cayley-Klein geometries.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 3-658-07618-6
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