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A decade ago when I was interested in General Relativity I wanted to write a simple program to handle symbolic calculations for Einstein field equations (Starting with metric and calculated affine connections, ricci tensor …etc.). Sympy was an option (better because python was the only language I know well) but I found it hard and actually couldn't make it work. I used mathematica which was new for me but did it in a couple of hours. I expanded it later and used it to calculate a lot of things in a black hole paper I published later.
I checked now, and it seems that on this front a lot of development in sympy made it possible that we know how very good libraries built on top of it [1] [2]. There is even now a Jupyter notebook example on schwarzschild metric [3].
[1] https://docs.einsteinpy.org
[2]https://github.com/spacetimeengineer/spacetimeengine
[3] https://github.com/sympy/sympy/blob/master/examples/intermed...
You might find this library interesting: https://github.com/symforce-org/symforce
A decade ago when I was interested in General Relativity I wanted to write a simple program to handle symbolic calculations for Einstein field equations (Starting with metric and calculated affine connections, ricci tensor …etc.). Sympy was an option (better because python was the only language I know well) but I found it hard and actually couldn't make it work. I used mathematica which was new for me but did it in a couple of hours. I expanded it later and used it to calculate a lot of things in a black hole paper I published later.
I checked now, and it seems that on this front a lot of development in sympy made it possible that we know how very good libraries built on top of it [1] [2]. There is even now a Jupyter notebook example on schwarzschild metric [3].
[1] https://docs.einsteinpy.org
[2]https://github.com/spacetimeengineer/spacetimeengine
[3] https://github.com/sympy/sympy/blob/master/examples/intermed...
The JupyterLite Python-compiled-to-WASM build has NumPy, SciPy, matplotlib, and SymPy installed; so you can do computer algebra with SymPy in a browser tab.
https://JupyterLite.rtfd.io/
https://github.com/jupyterlite/jupyterlite/tree/main/py/jupy... :
> Initial support for interactive visualization libraries such as: altair, bqplot, ipywidgets, matplotlib, and plotly
SymPy was instrumental to my PhD implementation, mainly for simplifying math expressions. Nothing was even close at the time
https://github.com/verdverm/pypge