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The new editions do give epsilon-delta proofs in the appendix, I believe.

Then I guess that you should follow micromass' advice.

*Sighs*... Thanks for reminding me of that fact...

From experience, I'd say you can go to MIT's OCW, and start with calculus 1 and physics 1. The scholar courses do not require any textbooks, but you could consider some of the books already mentioned in this thread as a supplement (although I wouldn't bother about them at first, before...

It depends on what you already know: how much math/physics do you know so far? Which grade are you in?