2001/05/25 by Marc Toussaint, Toussaint, Marc
Computer Science · Physics and Astronomy · #Chemical and Environmental Engineering Research #Distributed and Parallel Computing Systems #FOS: Computer and information sciences #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #I.1.3 #Mathematical Software (cs.MS) #Symbolic Computation (cs.SC) #cs.MS #cs.SC #gr-qc
paper · pdf · doi:10.48550/arxiv.cs/0105033
61 pages; supplementary material can be found at http://www.neuroinformatik.ruhr-uni-bochum.de/PEOPLE/mt/work/1999mexico/
arxiv created 2001/05/25 · openalex publication_date 2001/05/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.