Aragon-Camarasa, G. , Aragon-Gonzalez, G., Aragon, J.L. and Andrade, M.A. (2015) Clifford algebra with mathematica. In: 20th International Conference on Applied Mathematics (AMATH '15), Budapest, Hungary, 12-14 Dec 2015, pp. 64-73. ISBN 9781618043542
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Publisher's URL: http://www.wseas.us/e-library/conferences/2015/Budapest/AMATH/AMATH-08.pdf
Abstract
The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprising vectors, complex numbers, quaternions, Grassman algebra, Pauli and Dirac matrices. In this work, we present an introduction to the main ideas of Clifford algebra, with the main goal to develop a package for Clifford algebra calculations for the computer algebra program Mathematica. The Clifford algebra package is thus a powerful tool since it allows the manipulation of all Clifford mathematical objects. The package also provides a visualization tool for elements of Clifford Algebra in the 3-dimensional space.
| Item Type: | Conference Proceedings |
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| Additional Information: | Mathematics and Computers in Science and Engineering Series | 56 |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Aragon Camarasa, Dr Gerardo |
| Authors: | Aragon-Camarasa, G., Aragon-Gonzalez, G., Aragon, J.L., and Andrade, M.A. |
| Subjects: | Q Science > QA Mathematics > QA76 Computer software |
| College/School: | College of Science and Engineering > School of Computing Science |
| Research Group: | Computer Vision and Autonomous Systems |
| ISSN: | 2227-4588 |
| ISBN: | 9781618043542 |
| Copyright Holders: | Copyright © 2015 WSEAS |
| First Published: | First published in Proceedings of the 20th International Conference on Applied Mathematics (AMATH '15), pp. 64-73 |
| Publisher Policy: | Reproduced with the permission of the publisher |
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