Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics by Daniel KlawitterClifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics by Daniel Klawitter

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

byDaniel Klawitter

Paperback | November 10, 2014

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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.
Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.
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Title:Clifford Algebras: Geometric Modelling and Chain Geometries with Application in KinematicsFormat:PaperbackDimensions:216 pagesPublished:November 10, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3658076178

ISBN - 13:9783658076177

Reviews

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.

Editorial Reviews

"Clifford and geometrical algebras are powerful calculation tools that unify geometric concepts from different algebraic structures built over time . . In this book, the author makes use of this powerful mathematical tool, specifically Clifford algebras and their Spin and Pin groups, to unify different kinematic mappings . . I find this book a great accomplishment and definitely recommend it." (Eduardo A. Notte Cuello, Mathematical Reviews, May, 2016)