GSoC 2018: Implementation of Vector Integration

[adwait baokar]

I am Adwait Baokar, a 3rd year undergraduate and I am willing to apply for GSoC 2018 under the project : Implementation of Vector Integration. As mentioned, I have gone through Prasoon's PR on his work in GSoC 2013. There were implementations for line and surface integrals but those implementations were not completed. 

I wanted to know that if we want to implement line, surface and volume integrals for scalar functions also or just for vector fields is enough?

Also, will implementing theorems such as divergence theorem, green's theorem, stokes theorem and gradient theorem will be a good idea?

[adwait baokar]

I think it will be a good idea to implement all the three vectors for line, surface and volume integrals(both for scalar function and vector field) with methods associated with the theorems in each of the appropriate integral.

[adwait baokar]

I have started a wiki page for my proposal, here is the link : https://github.com/sympy/sympy/wiki/GSoC-2018-Application-Adwait-Baokar:-Implementation-of-Vector-Integration

Please have a look and suggest any changes

Thank You