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.
M. J. Crowe: A History of Vector Analysis. N. Y., Dover, 1993.
D. Hestenes: New Foundations for Classical Mechanics. Dordrecht, Kluwer, 1986, 1990.
B. Jancewicz: Multivectors and Clifford algebra in electrodynamics. Singapore, World Scientific, 1989.
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.
E. Nelson: Tensor Analysis, Princeton U. P., 1967.
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.
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.
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).
S. Wolfram: Mathematica. A System for Doing Mathematics by Computer. Addison-Wesley, 1991.
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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
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