References to GAlgebra in literature and other Web resources

[utensil]

This issue is to track references to GAlgebra in literature and other Web resources. The goal is:

• ensure that pygae/galgebra is consistent with descriptions accompanying the references
• update the corresponding references to pygae/galgebra

Here are these references:

• SymPy: https://github.com/sympy/sympy/blob/master/sympy/galgebra.py
  • As of SymPy 1.0 the galgebra module is maintained separately at https://github.com/brombo/galgebra (Fix dead link to galgebra sympy/sympy#17961)
• Linear and Geometric Algebra and Vector and Geometric Calculus by Alan Macdonald:
  • GAlgebra is written in Python 2. One of its components (Sympy), will stop supporting Python 2, probably by the end of 2019. Alan Bromborsky is converting GAlgebra to Python 3.
  • GAlgebraPrimer.pdf contains instructions for installing and using GAlgebra. The primer also downloads with GAlgebra. Updated 1/24/18.
• LAGA Intro by Alan Macdonald:
  • I have removed the old Appendix B, Software, which documented Alan Bromborsky’s Python module GAlgebra. The documentation there became out of date as the module improved. It is now in the file GAlgebraPrimer.pdf.
  • The current versions of GAlgebraPrimer.pdf and cm3.ipynb are available at the book’s website and are bundled with the GAlgebra distribution.
• GAlgebraPrimer.pdf (included in GAlgebra):
  • I made several "get started" notebook files, one for each geometric algebra in
    Algebras.py (See Section 2.2). For example, g3.ipynb imports SymPy and GAlgebra and sets up the geometric algebra g3.
  • Algebras.py. This file is distributed with GAlgebra. It contains code to create many different geometric algebras, including g3 and all others used in this document, as well as others not covered here: homogeneous, spacetime, and conformal algebras.
• GEOMETRIC ALGEBRA SOFTWARE on Geometric Algebra Explorer

GAlgebra is an implementation of a geometric algebra module in python that utilizes the sympy symbolic algebra library. The python module GA has been developed for coordinate free calculations using the operations (geometric, outer, and inner products etc.) of geometric algebra. The operations can be defined using a completely arbitrary metric defined by the inner products of a set of arbitrary vectors or the metric can be restricted to enforce orthogonality and signature constraints on the set of vectors. In addition the module includes the geometric, outer (curl) and inner (div) derivatives and the ability to define a curvilinear coordinate system. The module requires the numpy and the sympy modules.

• SymPy Paper:
  • https://github.com/sympy/sympy-paper/blob/master/projects_that_depend_on_sympy.tex
  • https://github.com/sympy/sympy-paper/blob/master/paper.bib

[utensil]

This issue is partially addressed in
Update Bundled Supplementary Materials for LAGA and VAGC to latest and Update Bundled Code for LAGA and VAGC.

[utensil]

Due to #70, we'll need to work on this issue ASAP.

[utensil]

Opened sympy/sympy#17980 .

[eric-wieser]

Made a PR for the sympy paper, but I doubt it will go anywhere.

Also emailed the guy behind the GaExplorer link.

[eric-wieser]

Sympy contributors had a good idea: brombo/galgebra is back!