I'm looking for a book to help me learn a bit more about the actual maths that underpins differentiable manifolds.

I already know the basics of Riemann manifolds having read Schutz Book on General Relativity, but I want to extend and deepen my understanding of the maths.

I found another book by him that I think looks ok.

http://www.amazon.co.uk/Geometrical-...4044084&sr=1-2

Can anyone say if this is a good place to start? It's got lie derivatives and group theory in it aswell.

Or is their another book which might be better?

I know basic calculus and matrix algebra, but thats about it really. I'm not a mathematician, so any suggestions will probably have to be quite tame.

Cheers, sox.