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Clifford Algebras

Geometric Modelling and Chain Geometries with Application in Kinematics

Authors: Klawitter, Daniel

  • Publication in the field of mathematical science

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-658-07618-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-658-07617-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

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

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)


Table of contents (3 chapters)

  • Models and Representations

    Klawitter, Dr. Daniel

    Pages 5-99

  • Chain Geometry over Clifford Algebras

    Klawitter, Dr. Daniel

    Pages 101-180

  • Kinematic Mappings for Spin Groups

    Klawitter, Dr. Daniel

    Pages 181-199

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-658-07618-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-658-07617-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Clifford Algebras
Book Subtitle
Geometric Modelling and Chain Geometries with Application in Kinematics
Authors
Copyright
2015
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-658-07618-4
DOI
10.1007/978-3-658-07618-4
Softcover ISBN
978-3-658-07617-7
Edition Number
1
Number of Pages
XVIII, 216
Number of Illustrations and Tables
8 b/w illustrations, 10 illustrations in colour
Topics