Which parts of real-analysis are worth studying if you have already taken several calculus courses? I know that real-analysis is more 'rigurous', but still I wonder whether it is worth to again go over a lot of subjects that I already know from through calculus.
Should I redo all of the subjects from real analysis that I already know of from calculus or are there specific topics I should choose to study and skip the rest? I read that a lot of people advise the book by Terence Tao, but would it be useful to go through this whole book given what I already know? Or are there chapters of it that I should read, and or are there other references which only cover the topics that I do not yet know of?