TITLE: Introductory measure theory textbook
QUESTION [13 upvotes]: I would like to teach myself measure theory and I am looking for a good introductory textbook at the advanced undergraduate or early graduate level. A reader-friendly text with plenty of examples would be ideal.

REPLY [5 votes]: Do like young Grothendieck, try to rebuild Lebesgue theory yourself.
If you fail, Bartle is a good read, and Rudin is not bad either.