I really appreciate the time and effort Stephen Abbott has taken to painstakingly introduce Real Analysis. You feel like you're in lecture, being brought into the world of set theory and functions that establish the ground work for differential and integral calculus in the real numbers.  Abbott gives good but not too difficult examples and his proofs have enough detail that a beginner can follow them without wondering what happened.  The end of section exercises are really extensions of each section and teach as much as they reinforce that section's theory.<br><br>Actually, an enjoyable mathematical read.  I think most math students will really enjoy this approach.