I was wondering if there were any good references on Riemannian geometry that do not utilize more modern manifold theory and differential forms (i.e. focus on the oft-considered "ugly" approach with coordinates and tensors). Is this considered more of a "physics" approach?
I just thought it would be nice to see the more classic approach while slogging through the definitions of the more standard books (like studying classical differential geometry in $\mathbb{R}^3$ before moving to more modern books).