GSoC 2016 : Implementation of multiple types of coordinate systems for vectors

[Sanya Khurana]

Hi

Since I am new to GSoC, this is the first time I will be submitting a proposal. 

I will be really grateful if someone can review my proposal here and let me know what all I should add/modify to make it more clear.

I will be looking forward to your feedback.

Thanks and Regards,

Sanya

[Alan Bromborsky]

Please note the rectangular, cylindrical, and spherical are not the only orthogonal coordinate systems in 3d, see -

https://en.wikipedia.org/wiki/Orthogonal_coordinates

A unified approach (h_1, h_2, and h_3 functions in link) might be of value.

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[Sanya Khurana]

Thank You @brombo :) 

I have made some changes in my proposal here. I hope I did not miss anything this time.

Thanks and Regards,

Sanya

[Jason Moore]

Sanya,

You need to expand the idea part of your proposal. it should be much more than copying our idea post. You need to explain what you propose to do: what, how, why, etc. It is good to show some example code (pseudo or what you hope the future api will look like).

Jason
moorepants.info
+01 530-601-9791

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[Alan Bromborsky]

Sanya,

Also only say that you will do the rectangular, cylindrical, and spherical coordinate systems for sure in the allotted time and the rest only if time permits.  Do not overcommit yourself.  Almost everything in program development takes longer than you think it will even if you are using python.

To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAP7f1Ag949LfHtYj9KwQX9rT6kEQOuLgb9EV4UpiXBZYqnQL1g%40mail.gmail.com.

[Jason Moore]

This is a very relevant pull request: https://github.com/sympy/sympy/pull/9937

I would recommend reading that and talking about it.

Jason
moorepants.info
+01 530-601-9791

To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CALOxT-nP6whuZFNh_ikPSBaFav01SdZQZa81Ze7V2CpEc2yinQ%40mail.gmail.com.

[Alan Bromborsky]

Jayson, Sanya,

I have read 9937 and I suggest that there is room for a simplified vector class that is suitable for what I would call textbook examples (and more for the right class of problems) where one does not have to worry about transformations from one coordinate system to another, but for the given coordinate system has all the required vector operations -

sum, difference, scalar multiplication, dot product, cross product, gradient, divergence, curl, and laplacian for vector and scalar fields.  Integration requires some discussion because stokes and green's theorems would be applied to one and two dimensional manifolds in 3 dimensions and you would need the mechanism for defining the curves, surfaces, and volumes that you are integrating over.

This would not only be useful for certain class of problems in mechanics but also in electromagnetics, acoustics, and any cases where vector and scalar fields are needed

(we must not forget scalar fields since the gradient of a scalar field is a vector field).

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[Sanya Khurana]

Jason, Brombo

Thank You for you guidance :)