A good introduction to the subject at the advanced undergraduate level. Topics are introduced in a concrete manner, followed by generalizations. The generalizations could be clearer and more complete and that is the only issue I have with the book.
I had the first edition. It had too few exercises and I had a hard time trying to grasp what a nonmeasurable set was. It's not a bad book but it didn't gel with me. I didn't feel comfortable with measure until I read Klambauer's book on real analysis.