Thanks, Selfadjoint, I guess that now I comprehend better what tensors are. I printed the document out.
I comprhend what vectors and covectors are, and comprhend the rules of transformations between different bases. ALso, more or less have an idea about what linear operators and bilinear forms are. I have problems comprhending the rules of transformations of linear operators between different bases, I refer explicitly to page 20, that says that a linear operator [itex]F_{j}^{i}[/itex] transforms to another basis as
[itex]
\bar{F}_{j}^{i} = \sum_{p=1}^{3} \sum_{q=1}^{3}
{T_{p}^{i} S_{j}^{q} F_{q}^{p}}
[/itex]]
So, how do you get to the T^{i} _{p},S^{q} _{j} and F^{p} _{q} in the right side of the equality? I feel that i'm on the brim to completely understand tensor calculus, only have to work in a little details
