Essentially all several variable calculus books cover these topics: Stewart, Edwards-Penney, Hass Weir Thomas, either at the end or in volume 2. Stronger treatments are in apostol vol.2, Courant vol.2, Fleming, or even spivak's calculus on manifolds, or the derivative evrsion in guillemin and pollack. Indeed almost every differential geometry book on ym shelf covers this material. I found 10-15 books on my shelf with this theorem in it. this must be the most important theorem in mathematics. Of course that is no surpriz=se since it is the general fundamental theorem of calculus. (Stokes thm).
So if you own almost any calculus book, look in it for this stuff.
Physics books are also good for telling you what the theorem means physically. E.g. after learming the vector algebra try Feynman vol 2.