Relativistic space-time geometry

What subject (suggest book titles, etc.) should I study to get a clear grasping of hypersurfaces, 2-surfaces, and integration on them, mostly in special relativity (I'm not messing with general relativity yet).

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This is a topic that usually uses the full machinery of differential geometry, and isn't very different for curved or non-curved manifolds, or will simply just be based on the Jacobian-style logic of a third semester Calculus course. What are you trying to do with this math? –  Jerry Schirmer Apr 26 '11 at 21:50
I want to get a solid understanding of hypersurfaces, normal vectors, 2-surfaces, their normal 2nd rank tensors, etc, and the standard integral theorems. I just want to understand this 4-dimensional stuff, just as deep as a 3rd semester calculus teaches you about them on 3 dimensions. –  becko Apr 26 '11 at 22:15
@becko: Perhaps you're really looking for just (hyper)planes rather than the full concept of general curved (hyper)surfaces? –  Qmechanic Apr 27 '11 at 14:51
@Qmechanic: I need hypersurface, but I'm not looking for a fully abstract mathematical treatment in n-dimensions, etc... I just need whatever is enough to get a feeling for Minkowski 4-dimensional space. –  becko Apr 27 '11 at 15:41
@becko: If you just want $2$-dimensional hypersurfaces embedded in $\mathbb{R}^3$, you may take a look at "Differential Geometry of Curves and Surfaces" by Manfredo Do Carmo. –  Qmechanic Apr 27 '11 at 16:04