We've used this as a textbook for over a decade for first-semester real analysis, targeted at an audience that includes math majors, minors, and math/econ concentrators.  It's maybe the only textbook I've ever used for any math course that the students say they like on course evaluations.  It's readable and approachable.  It's not as intense as quite a few other "classics", and when you skim it, you get the sense that maybe it's missing some key idea, but then when you dig into it, that idea is actually there, at least at an introductory level.  The old edition was probably a little light on good HW problems -- we routinely added some -- but the new edition has made substantial revisions to the problems, so that quite possibly further supplementation would not be needed.<br><br>If you're looking for the most advanced introduction to real analysis, this is probably not the book for you.  If you want a book that students can actually understand, I think this is the one.