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General Clifford Algebra and Related Differential Geometry Calculations with Mathematica

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Clifford Algebras with Numeric and Symbolic Computations

Abstract

In this paper the syntax of the functions of the packages Clifford.m and Nabla.m is explained by means of simple examples. These files together with some examples mostly taken from physical applications are meant to be an integral part of the software developed by the authors. Also included is a MatLab appendix referring to another specific set of files.

The author acknowledges financial support from the Spanish Ministry of Education under contract No. PB93-1050

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References

  • E. Artin: Geometric Algebra. N. Y., Interscience Pub.,1957.

    Google Scholar 

  • M. J. Crowe: A History of Vector Analysis. N. Y., Dover, 1993.

    Google Scholar 

  • D. Hestenes: New Foundations for Classical Mechanics. Dordrecht, Kluwer, 1986, 1990.

    Book  MATH  Google Scholar 

  • B. Jancewicz: Multivectors and Clifford algebra in electrodynamics. Singapore, World Scientific, 1989.

    Google Scholar 

  • P. Lounesto, R. Mikkola, V. Vierros: CLICAL. Helsinki Univ. of Technology, 1987. Mat Lab, High-Performance Numeric Computation and Visualization Software, Reference Guide. The Math Works Inc., 1992.

    Google Scholar 

  • E. Nelson: Tensor Analysis, Princeton U. P., 1967.

    Google Scholar 

  • J. M. Parra: ‘On Dirac and Dirac-Darwin-Hestenes equations’, pp. 463–477 in A. Micali, R. Boudet, J. Helmstetter (eds.): Proceedings of the Second International Conference on Clifford Algebras and Their Applications to Physics. Dordrecht, Kluwer, 1992.

    Google Scholar 

  • T. Regge: ‘Group manifold approach to unified gravity’, pp. 933–1006 in B. S. Dewitt, R. Stora (eds.), Relativite, groupes et topologie. Amsterdam, Elsevier, 1984.

    Google Scholar 

  • W. Rodrigues, J. Vaz: ‘Subluminal and Superluminal solutions in vacuum of the Maxwell equations and the massless Dirac equation’. RP 44/95, IMECC, UNICAMP (Brazil).

    Google Scholar 

  • S. Wolfram: Mathematica. A System for Doing Mathematics by Computer. Addison-Wesley, 1991.

    Google Scholar 

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© 1996 Birkhäuser Boston

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Parra, J.M., Roselló, L. (1996). General Clifford Algebra and Related Differential Geometry Calculations with Mathematica . In: Abłamowicz, R., Parra, J.M., Lounesto, P. (eds) Clifford Algebras with Numeric and Symbolic Computations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4615-8157-4_3

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  • DOI: https://doi.org/10.1007/978-1-4615-8157-4_3

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4615-8159-8

  • Online ISBN: 978-1-4615-8157-4

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