First examples in triangulations

I am starting to study about triangulations in my algebraic topology course. We have seen the triangulation of the sphere, the closed disc and so on. Intuitively it's ok, however I couldn't find any rigorous proof of these examples. Anyone knows any book, site or resource to find them? Thank you very much.

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I suggest you to read Hatcher's book or Munkre's book. –  Sigur Oct 13 '12 at 14:34
That second one would be Munkres' book. –  joriki Oct 13 '12 at 14:45
I've already search in these books and I didn't find any rigorous prove of triangulations –  user42912 Oct 13 '12 at 14:49
What do you mean by 'proof of triangulations'? Specifically which proposition would it be about? –  Berci Oct 13 '12 at 14:58
@Berci For example we know that the closed disk can be triangulated, i.e., we can find a homeomorphism between the closed disk and a polyhedron which is a simplicial complex with the subspace topology inherited from $\mathbb R^n$. I couldn't find any resource with the details of this prove. –  user42912 Oct 13 '12 at 20:51