Well, it has to be said: a mathematician's outlook on physics is completely different from a physicist's. For a mathematician, physics is not much more than a bunch of more or less fixed mathematical models, each describing, approximately, some aspect of the physical world. For a physicist, on the other hand, not only are these models in a perpetual state of flux, but the physical world itself is seen as an indivisible whole, so that these "aspects" - the ones that are being modeled mathematically - are themselves just narrow views into the real physical world in which we live...
My brother was a physicist at Sandia. He said bluntly that mathematicians are not scientists. My point is not snark. It's that you may want to study physics from a physics/science POV rather than a mathematician's POV.
Also, I'd recommend Stewart over Thomas. I'd recommend Halliday Resnick and I'd recommend against Giordano.
