I'm really interested in general relativity and would like to start learning it.
I don't want to study it in great detailed as a mathematical physics.

I've studied Newton mechanics,differential equations,vector calculus and special relativity.

Question

I'm really interested in general relativity and would like to start learning it.
I don't want to study it in great detailed as a mathematical physics.

I've studied Newton mechanics,differential equations,vector calculus and special relativity.

anonymous · Answer

Is the book "A First Course in General Relativity" by "Bernard Schutz" good for me?
I have it.

anonymous · Answer

can you help with my question?

anonymous · Answer

also is this book sufficient for me to learn other mathematics subjects needed to understand GR such as tensor calculus,manifolds and others?

michele_laino · Answer

when I was at university, I studied General Relativity on the subsequent book:
$$\begin{gathered}
  {\mathbf{GRAVITATION\;  AND \; COSMOLOGY}} \hfill \
  {\text{Principle  and  Applications  of}} \hfill \
  {\text{The  General  Theory  of  Relativity}} \hfill \
   \hfill \
  {\text{by: Steven  Weinberg}} \hfill \
   \hfill \
  {\text{Publisher: John  Wiley}} \hfill \ 
\end{gathered} $$

anonymous · Answer

thanks @Michele_Laino , but how was your mathematics level when you started?
I need a book that includes mathematics as well,

michele_laino · Answer

Before starting to study General Relativity, I knew the tensor calculus in the euclidean space, the differential calculus of functions of more than one variable, differential forms, ordinary differential equations (ODE), and the usage of the equations of Maxwell. Also I knew  quantum mechanics and some of theory of linear operators in Hilbert spaces, nevertheless those last two topics are not needed in order to learn General Relativity.
Please note that, the tensors analysis on the Riemannian surfaces, is not a prerequisite, since it is well developed in the Weinberg's book, furthermore, also Einstein - in his little book "Theory of Relativity" - develops the basics of the tensor calculus.
Personally, I learned the necessary foundations of differential geometry, in the Weinberg's book, which is not a textbook, actually, it is an $excellent$ monograph

anonymous · Answer

I know all of those subjects, except tensor calculus... 
thanks for your help :) I'll get that book.