You proposal is very good. My only suggestion is that you may want a class for vector differential operators (gradient operator). If the coordinate system constructor returns the gradient operator you could (in future) overload * and ^ operators so that if f is a scalar field and V a vector field and grad the vector operator then -

gradient of scalar field = grad * f
divergence of vector field = grad * V
curl of vector field = grad ^ V

then the Laplacian would be grad * (grad * f)



On 04/01/2017 05:40 AM, Sagar Bharadwaj wrote:
I am interested in Implementing multiple coordinate systems for Vectors in SymPy. I have completed the timeline and here is my proposal. Please Review it and give me you valuable suggestions.

GitHub Wiki Page (Better formatting) <https://github.com/sympy/sympy/wiki/GSoC-2017-Application-Sagar-Bharadwaj-:-Implementation-of-multiple-types-of-coordinate-systems-for-vectors>

Google Docs Link <https://docs.google.com/document/d/1znt2IQKZiwf-FpNxKX62uYg7qQZejyCQ8wt4IrPzqVc/edit#heading=h.y0exq3hxwset>
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