>>13376785Apostol is the best balance. Both books are good. I'd suggest that for calculus and then just follow it up with real analysis.
Courant & John is OK, a bit more analysis, the older Courant is better in my opinion, but it's not much on theory.
Zorich covers as much as Rudin's principles of mathematical analysis with the new edition that adds Riemann–Stieltjes integration. But it assumes you've had a calculus course before (as that is high school in Russia). It's a bit more advanced than the other two but still includes lots of applications. But you'll have to go elsewhere for lots of integration practice and stuff like that you might learn in a calculus class.
