I have taken course in measure theory based from Royden's "Real Analysis" last year and now am reviewing the subject using Folland. However, neither book seems to have many "computational" problems.
Feeling relatively comfortable with the statements of main analysis theorems and results, I would really like to now try working through some more "computational" problems to help me build my intuition about when to use different theorems or when different definitions apply (e.g. solving hard integrals or demonstrating convergence of sequences of integrals using Dominated convergence or Vitali convergence theorems, showing families of functions are uniformly integrable, using Holder's / generalized Holder's / Minkowski / Young's inequalities to solve real integrals, computing Raydon-Nikodym derivatives for real examples, etc).
Question: Are there any good texts / sources of real analysis problems in the flavor of doing actual computations or solving example problems?
I hope this question is not out of place here. I have been studying real analysis for awhile now but still feel that I lack intuition.
Thanks for your help!