Learn Tensor & Topology: Self-Study Resources for Physics B.S. & CAS Fellow

[Limited]

Can anyone recommend good introductory texts for self-study? I want to teach myself about tensors and about topology.
FYI, I have a B.S. in Physics and am a Fellow of the Casualty Actuarial Society. I don't remember my vector calculus and am in the process of relearning - I'm using the book div, grad, curl, and all that
Thanks much!

 

[mathwonk]

frank warner, foundations of differentiable manifolds(?).

 

[robphy]

Try:



A Brief on Tensor Analysis (Undergraduate Texts in Mathematics)
by James G. Simmonds

and


Tensor Geometry: The Geometric Viewpoint and Its Uses (Graduate Texts in Mathematics, 130)
by Christopher T. J. Dodson, Timothy Poston