Good book for self study of a First Course in Real Analysis Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the instructor used "Introduction to Analysis" by Gaughan. 
While it's a good book, I'm not sure it's suited for self study by itself.  I know it's a rigorous subject, but I'd like to try and find something that "dumbs down" the material a bit, then between the two books I might be able to make some headway.

The book of Bartle is more systematic; much clear arguments in all theorems; nice examples-always to keep in studying analysis.
