Computer Science – Symbolic Computation
Scientific paper
2001-05-25
Computer Science
Symbolic Computation
61 pages; supplementary material can be found at http://www.neuroinformatik.ruhr-uni-bochum.de/PEOPLE/mt/work/1999mexico/
Scientific paper
These lectures give a brief introduction to the Computer Algebra systems Reduce and Maple. The aim is to provide a systematic survey of most important commands and concepts. In particular, this includes a discussion of simplification schemes and the handling of simplification and substitution rules (e.g., a Lie Algebra is implemented in Reduce by means of simplification rules). Another emphasis is on the different implementations of tensor calculi and the exterior calculus by Reduce and Maple and their application in Gravitation theory and Differential Geometry. I held the lectures at the Universidad Autonoma Metropolitana-Iztapalapa, Departamento de Fisica, Mexico, in November 1999.
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