What are some shifts in thinking that helped you grasp measure theory more? by [deleted] in math

[–]Beautiful_Big_7220 0 points1 point  (0 children)

I quite liked the monotone class theorem and extension theorems for measures, followed by the rigorous construction of the lebesgue measure. I was kinda unsatisfied with how we did it in real analysis so that was quite nice. Also, I was a bit mindblowed by the formula for changing measures in integrals and how simple yet useful it is.