Hi,

I am Arihant Parsoya, sophomore at IIT Bombay. I am interested in Computer 
Science and Mathematics.

I have gone through the idea page 
<https://github.com/sympy/sympy/wiki/GSoC-2017-Student-Instructions> and I 
am interested in working on the project named Implementation of multiple 
types of coordinate systems for vectors 
<https://github.com/sympy/sympy/wiki/GSoC-2017-Ideas#implementation-of-multiple-types-of-coordinate-systems-for-vectors>
.

I have been contributing to sympy for about a year now. I have submitted 
two PRs related to this idea previously:

[WIP] Multiple Coordinate System <https://github.com/sympy/sympy/pull/12020>

Implemented Spherical Coordinate System 
<https://github.com/sympy/sympy/pull/11133>

So far, I have used *Làme *parameters approach to implement multiple 
coordinates. However, I believe that there is better approach to implement 
this idea by using metric tensors and obtaining its Christoffel symbols(as 
suggested by Alan Bromborsky). 

It would be very helpful if anyone can give their ideas or tips regarding 
this project(APIs, implementation, etc.) 

Thanks,
Arihant Parsoya,
IIT Bombay

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