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Clifford Algebra as a Useful Language for Geometry and Physics

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Geometry and Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 543))

Abstract

Clifford numbers can be used to represent vectors, multivectors and, in general, polivectors. They form a very useful tool for geometry [Hestenes et al. (1984)]. The well known equations of physics can be cast into elegant compact forms by using the geometric calculus based on Clifford Algebra.

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References

  • Hestenes, D., Sobczyk, G. (1984): Clifford Algebra to Geometric Calculus (Reidel, Dordrecht, Boston, Lancesteer)

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  • Pezzaglia, W. M. (1997): Physical Applications of a Generalized Clifford Calculus. Preprint gr-qc/9710027

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© 2000 Springer-Verlag Berlin Heidelberg

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Pavšič, M. (2000). Clifford Algebra as a Useful Language for Geometry and Physics. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_20

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  • DOI: https://doi.org/10.1007/3-540-46552-9_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67112-1

  • Online ISBN: 978-3-540-46552-2

  • eBook Packages: Springer Book Archive

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