I'm looking for a tetxbook that covers Multivariable Calculus and/or Vector Calculus theoretically.
I have done Analysis (single-variable) at the level of Introduction to Real Analysis by Bartle and Sherbet and Principles of Mathematical Analysis by Walter Rudin. Except for the theory of integration. I haven't done a lot of exercises from "Baby Rudin" but I have done a course on Topology so some of the exercises will be approachable now, though I may have to go and revise Topology to refresh my concepts/recall the theorems.
Anyway, I'm looking for a textbook that extends the material in the aforementioned books to Multivariable and/or Vector Calculus. Any suggestions?