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Re:The tensor renaissance in data science by riemannzeta on Thursday May 07, 2015 @05:08PM (#9508314)
Although not a small amount of effort, it really helps to learn geometric algebra notation:

http://www.amazon.com/Geometric-Algebra-Physicists-Chris-Dor...

Once you get an intuitive grasp of bivectors, it's not hard to "see" tensors as a linear map of bivector into bivector.

Re:The tensor renaissance in data science by cschwan on Thursday May 07, 2015 @05:27PM (#9508416)
This is a really great book! It covers a lot of physics and gives plenty of insight on the relation of geometry and physics. It even made me program this library: https://github.com/cschwan/hep-ga (shameless self-advertisement).