Computer Algebra Systems

Which Computer Algebra Systems could be used with the physics graph

Introduction

I need a CAS which is free and open source

Candidates if Latex is the base

Sage

• Free, Open Source. Large community of active users for support
• http://www.sagemath.org/doc/tutorial/latex.html
• gives Latex as output

Mathematica

• http://reference.wolfram.com/mathematica/tutorial/GeneratingAndImportingTeX.html
• Why not Mathematica: it's not open source

Axiom

• http://savannah.nongnu.org/projects/axiom/
• http://www.axiom-developer.org/
• http://page.axiom-developer.org/

Maxima

• http://maxima.sourceforge.net/documentation.html
• SnuggleTeX converts Latex to Maxima via MathML
  • http://www2.ph.ed.ac.uk/snuggletex/documentation/generating-maxima-input.html

Giac/Xcas

• http://www-fourier.ujf-grenoble.fr/~parisse/giac.html

SymPy

• http://docs.sympy.org/0.7.3/tutorial/intro.html#why-sympy

Not what I want

http://latexcalc.sourceforge.net/

• Only does numeric operations within latex documents
• "LINCAS: LaTeXCalc is not a Computer Algebra System!"

MathML instead of Latex

Instead of storing equations as Latex, store them as MathML (http://www.w3.org/Math/). Then

• convert from MathML to Latex for rendering in graph: http://xsltml.sourceforge.net/
  • better: MathML directly to pictures (SVG, PNG)
    • http://sourceforge.net/projects/pmml2svg/
    • http://sourceforge.net/projects/jeuclid/
    • http://sourceforge.net/projects/svgmath/
• convert from MathML to CAS input https://www.google.com/search?q=mathml+to+latex

It's not reasonable to have a human generate the MathML manually

• https://en.wikipedia.org/wiki/MathML#Example_and_comparison_to_other_formats Thus we need Latex to MathML
• http://www.mathtoweb.com/cgi-bin/mathtoweb_home.pl

http://www.w3.org/Math/Software/mathml_software_cat_converters.html

http://latex2mathml.freewebmaster.fr/

http://tbookdtd.sourceforge.net/

http://www.w3.org/Math/Software/

http://fred-wang.github.io/TeXZilla/