Trying to learn Tensors and understand how to input tensor equations into Maxima

> I'm not familiar with the books that you listed. Can you give 
> some specific
> examples of the types of equations that you'd like to enter 
> into Maxima?
> 
> 
> Viktor

Thank you for help.

I will provide some examples below although I am
a little concerned that my specific examples are
misleading.

My goal is more to learn to do this than to solve
a particular problem, as my idea is to work through
any or all of the typical introduction to Tensors in
the context of GR.

I feel a quite illiterate trying to even figure
out whether to use CTensor, ITensor, or ATensor.

(By the way, I forgot to mention that I have also
been looking at the examples in the tutorial demo
you provided.)

One problem I started with is from Schaum's page 3,
Example 1.7 (and is quite easily done even by me):

Given:  T^i = g_r^i a_rs y_s  and  y_i = b_ir and
	further   a_ir b_rj = kdelta_ij

Find   T^i in terms of X_r

  First write y_s - b_st x_t    then by subsitution:

     T^i = g_r^i a_rs b_st x_t 
         = g_r^i kdelta_rt x_i 
         = g_r^i x_r


kdelta = kroniker_delta


After that I just wanted to work through general
coordinate transformations and metrics.



--
Herb Martin