Hello everyone

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. So the things that I am considering to 
add are:

1. Proper class structure and functions for basic vector integration over 
lines, surfaces and volumes

2. Gradient theorem, also known as fundamental theorem of calculus for line 
integrals. It's converse can be helpful finding work done by a particle in 
conservative field. Also it can be helpful for laws like Ampere-Circuital 
laws

3. Divergence theorem, also known as Gauss's theorem or Ostrogradsky's 
theorem. With it's help, we can solve problems on Gauss's 
law(electrostatics), Gauss's law for magnetism and gravity.

4. Kelvin-Stokes theorem, also known as curl theorem, is a special case of 
"generalized stokes theorem", which can help with Lamellar vector field and 
Helmholtz theorems
(In 2-dimensions, divergence and curl theorem reduce to green's theorem)

5. Green's theorem which can be helpful to calculate areas.

I will be submitting the proposal for the same in a couple of days. I don't 
know who are the assigned mentors for this, so please give suggestions and 
feedbacks on this.

Thank You!

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