>>11
Sometimes folks say Calculus or Advanced Calculus to refer to Analysis, but I've never heard it the other way around. The difference is mostly rigor; in Analysis you build up a theory of differentiation and integration in a proof theoretical way from an understanding of set theory and the properties of real numbers (or hyper reals apparently) for the sake of proving further theorems or whether certain theorems are applicable. In Calculus you're typically given more or less a recipe book and not expected to fully understand in a rigorous way why everything works, proofs may be given but you're not really expected to write your own, and you won't be assessed on understanding. Really there probably shouldn't be Calculus in this sense at all (perhaps just "Applied Analysis"). Anyway the only reason I said all this is that if Analysis you'll be a bit disappointed by the mentioned book.