[Soc2015-general] SymPy: Implementing Multiple Coordinate Systems

[Jason Moore]

Wanlin,

Please post this message to the SymPy email list:
https://groups.google.com/forum/#!forum/sympy. We discuss the projects
ideas for SymPy there.


Jason
moorepants.info
+01 530-601-9791

On Mon, Mar 23, 2015 at 9:22 AM, Wanlin Xie <wx2161 at columbia.edu> wrote:

> Dear Mentors,
>
> My name is Wanlin. I'm a first year undergraduate student in Columbia
> University. I am applying to GSoC and would like to work on the SymPy
> project under your supervision. I love the symbolic deductions in
> mathematics and think that SymPy is so interesting. The project I am
> applying for is implementing multiple coordinate systems in SymPy. I am now
> finishing multivariable calculus and completed the introduction of
> differential equations in high school so I think that I have a good
> background as well as the passion for this project.
>     My idea is to first split the Vector class into two classes 2D and 3D.
> From there, 2D branches down to Cartesian and Polar coordinates, while 3D
> branches down to Spherical, Cylindrical, and Cartesian coordinates. Then I
> will relate the different variables through equations that can convert
> equations, shapes, solids, etc. from one coordinate system to another. I
> can also implement the use of Jacobians and figure out a way to do
> transformations in just any variable system. I was wondering what work has
> been done about these multiple coordinate systems, and if this is a good
> direction to go in. Any advice will be greatly appreciated.
>
> Thank you so much!
>
> Wanlin Xie
>
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