Hi,
I am a pre-final year student at IIT Delhi, majoring in Electrical 
Engineering with a minor in Mathematics and Computing Applications. I have 
a huge motivation in computer algebra. I have a vast experience with Python 
and I have also used SymPy before for applications in Neural Networks. I am 
interested in Google SoC and would be really happy to code under SymPy's 
banner.

I wanted to implement different transforms techniques (FFT, Circular DFT, 
IDFT, Discrete Cosine Transform etc)  for my project. I know laplace is 
there in SymPy already, and I sure hope so for Fourier and even 
z-transform, but I am not so sure about others. Do tell me if this idea 
sounds any good.
http://en.wikipedia.org/wiki/Fast_Fourier_transform
http://en.wikipedia.org/wiki/Discrete_Fourier_transform#Circular_convolution_theorem_and_cross-correlation_theorem
http://en.wikipedia.org/wiki/Discrete_Fourier_transform#Expressing_the_inverse_DFT_in_terms_of_the_DFT
http://en.wikipedia.org/wiki/Discrete_cosine_transform

In the listed projects ( 
at https://github.com/sympy/sympy/wiki/GSoC-2014-Ideas), following projects 
 (in the order of preference) struck me out the most:
1. Series expansions
2. ODEs
3. Group Theory
4. Polynomials module (Univariate)


Expecting a positive response.
Thank you.

PS- I tried posting once before, I do't know if that got posted. Pardon for 
a re-post.

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