Maxima

• Documentation
• Packages
• Sessions (mainly in Spanish)

Maxima is a computer algebra system, implemented in Lisp.

Maxima is derived from the Macsyma system, developed at MIT in the years 1968 through 1982 as part of Project MAC. MIT turned over a copy of the Macsyma source code to the Department of Energy in 1982; that version is now known as DOE Macsyma. A copy of DOE Macsyma was maintained by Professor William F. Schelter of the University of Texas from 1982 until his death in 2001. In 1998, Schelter obtained permission from the Department of Energy to release the DOE Macsyma source code under the GNU Public License, and in 2000 he initiated the Maxima project at SourceForge to maintain and develop DOE Macsyma, now called Maxima.

In 2005 I started to take part of this project. My main contributions are the translation of the Manual into Spanish, and packages draw for plotting, distrib on probability distributions, descriptive on descriptive statistics, and stats on statistical inference.

Documentation

Some Maxima related links (in a new window):

• Project's web site at Sourceforge
• Project's summary
• Official Reference Manual
• Maxima on line, from the
  Centro de Supercomputación de Galicia
• Yamwi, a Maxima web interface
• First Steps in Maxima (PDF in Spanish)
• Casting SPELs (Spanish and German)

Packages

These are the Maxima packages I maintain.

• draw: Inside a Maxima session, you write some code and Maxima calls the graphics renderers. There are two choices: Gnuplot and VTK. While the Maxima-Gnuplot part is relatively mature, the Maxima-VTK interface is quite new and experimental.
  • Gnuplot from draw
  • VTK from draw
• distrib: distrib is a library with probability distributions, both continuous and discrete.
• descriptive: descriptive is a library for uni and multivariate descriptive data analysis. Some statistical graphics are also included.
• interpol: interpol contains functions for data interpolation.

Sessions

This is a collection of computations made with Maxima. These examples are written in Spanish, but hopefully you can grasp some useful ideas from them:

Numbers and algebra:

• Symbolic and decimal arithmetic
• Graphical representation of complex numbers (EN)
• Roots of complex numbers
• Equations and inequalities
• Matrix definition and manipulation
• Matrix operations
• Matrix inverse
• Solving linear systems with matrices
• Linear programming
• Critical path method
• Lines and planes

Analysis:

• Limits, derivatives an integrals
• Attractors
• Local extrema
• Taylor approximation
• Deterministic inventory analysis
• Empirical velocity data (EN)
• Cost and profitability analysis (EN)
• Interpolating arbitrary points in 2D and 3D (EN)
• Direction fields (EN)

Probability and statistics:

• Markov chains
• Perfect repairs. The HPP mdel.
• Minimal repairs. The NHPP model.
• Complex systems in reliability
• Variability control chart
• Stochastic inventory analysis
• ML estimators in normal populations (EN)
• Weibull analysis (EN)

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