Here I will be just posting a simple questions. I know about vectors but now I want to know about tensors. In a physics class I was told that scalars are tensors of rank o and vectors are tensors of rank 1. Now hwat will be a tensor of rank 2,3.../ This quite tempting. So my question is, What are the prerequisites that I need to learn deeply before taking up an introductory course on "Tensors"?
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There are many good books on this subject. If you are comfortable with abstract setting and if you have taken a course in Linear Algebra then there is this book
I would like to suggest a quick shortcut:
Quick Introduction to Tensor Analysis, by Ruslan Sharipov.
This little pdf is self-contained, so you will need no prerequisites to read it. I believe it may well suit your need.
I think you need basics of advanced algebra. I like the lecture notes in http://www.math.uconn.edu/~kconrad/blurbs/linmultialg/tensorprod.pdf . If you can't understand something in it, find details in some algebra book.
See also An Introduction to Tensors