Lectures on Reduce and Maple at UAM I - Mexico

Marc Toussaint
Institute for Theoretical Physics, University of Cologne
50923 Köln, Germany
November 1999

See also:
Los Alamos e-Print Archive cs.SC/0105033.

@misc{toussaint:99b,
author="Marc Toussaint",
title="Lectures on {R}educe and {M}aple at {UAM I} - {M}exico",
year="1999",
url="http://arXiv.org/abs/cs.SC/0105033"
}

Abstract

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.

Supplementary files

Reduce examples: [chapter1.red] [chapter2.red] [julia.red] [poincare.red]
[tensor.red]
Excalc examples: [excalc.exc] [tensor.exc] [bianchi.exc] [nut.exc]
More Excalc examples: [magtools] [ss] [kerrnut] [mccrea] [baekler] [proca]
Maple examples: [chapter3.map|mws] [chapter4.map|mws] [julia.map|mws] [tentest.map|mws [grtest.map|mws] [proca.map|mws] [proca buffers]
More sources:: [library of my files] [tridefs.tex]

Reduce links

User's manuals: Reduce 3.6 - searchable online reference
Reduce 3.6 and Packages - user's manual
PDF manuals for Reduce packages
Excalc - user's manual
Other sites: [Cologne] [ZIB, Berlin]
Solving ODEs - the CATHODE project: [home page] [UK CATHODE 2 project] [software]
Introduction to Reduce [Cologne] [Berlin]
An introduction and tutorial for Common Lisp

Maple links

Tutorials: [WorchesterPI] [Los Alamos]
Other sites: producers home page
newest LaTeX-Maple style files
GRTensorII: GRTensorII home pages (newest package sources)
GRTensorII manuals [A] [B] [C] [D] [E]