Munkres doesn't spend enough time on the topology to define a basis so, in this context, it's not quite as tautological as it seems. It really only addresses manifolds as subsets of Rn
and only covers "real" manifolds with a sketchy last chapter, "Life outside Rn
". On the whole though, It's probably the best introduction to the ideas that I've seen. It's a great book.
Petek gave good advice.