When I learned Special Relativity, it was taught in terms of basic linear algebra, without any mention of the Minkowski space, proper time as integration on the metric, etc.

However, when I am trying to learn General Relativity from several books (Wald, Carroll, Weinberg), it seems they all assume I am already familiar with SR and Minkowski space, and only briefly review it.

So, I'm afraid I'll be missing some material here.

What is a good source for SR from a Riemannian geometry point of view?

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Since Minkowski space is flat, there isn't a lot of geometry to be done. In any case, a valuable resource is the 'Gravitation' book by Misner-Thorne-Wheeler. –  Vibert Mar 19 '13 at 10:09
The answers to this questions (v1) is likely to be duplicates of e.g. physics.stackexchange.com/q/363/2451 See also e.g. math.ucr.edu/home/baez/physics/Administrivia/rel_booklist.html –  Qmechanic Mar 19 '13 at 11:02