Some notes:

- what you said about polynomials concerns vector spaces, not manifolds
- what you said about coordinate systems (as opposed to bases)
concerns manifolds and it is well within the scope of `diffgeom`

`diffgeom` has some rudimentary support for 2D and 3D flat space. It
would be absolutely great to extend the support for all the coordinate
systems that you can think of. See the rn.py file.

You can also extend the routines used for switching and connecting
coordinate systems.

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