GSoC 2017: Working on implementing Vector Spaces

[Aditya Chetan]

Hi!

My name is Aditya Chetan, I am a first-year undergrad at Indraprastha Institute of information Technology, New Delhi, enrolled in the Computer Science and Applied Mathematics program. I got introduced to SymPy a couple of weeks back and being an ardent lover of mathematics, have enjoyed toying around with the library since then. Having taken a course in Linear Algebra at college, I particularly enjoyed the wide range of functionality that the module provides for processing vectors and representing them. From the Gram-Schmidt process to calculating the diagonalized form of a matrix, I enjoyed my time playing around with it. 

However, I noticed that there is no implementation of abstract concepts of Linear Algebra such as Vector spaces, Subspaces, and Fields. I would be interested in working on a module that implements these concepts as well as other concepts of Linear Algebra. This module will be dedicated to Linear Algebra and would be responsible for implementation of basic operations on Vector objects.

I would also like to work on improving the deficiencies in the existing Matrices module that have been listed on the Linear-Algebra-vision page.

Speaking of my skills, I have completed a university-level course in Python and have also taken various online courses in the language. Hence, I am quite comfortable with the syntax. As for the Maths portion, I have completed a course in Linear Algebra in college. As for my skills as a developer, I am a newcomer but would love to work on this idea that I have mentioned above. I have studied the various functionalities provided by SymPy in the past two weeks and love it as a tool, and am excited to work more on it. However, I am a bit unsure about the time it will take to make this module and implementing how many functions will be feasible during the GSoC period. 

Hence, I need a bit of help in breaking down my goals into sub-tasks ( especially printing in different environments, code generation, interoperability with other libraries ) and while taking care that my project fits into the existing module and its feasibility as a GSoC idea.

Regards,

Aditya Chetan