I'm using [Analysis: With an Introduction to Proof by Steven Lay][1] in my course right now, and from a student's perspective, it's been really good - clear explanations, and a tone of writing that doesn't seem too uptight. I can't speak to other books, but I've enjoyed this one so far!


  [1]: http://www.amazon.ca/Analysis-Introduction-Steven-R-Lay/dp/0131481010