Spivak's textbook teaches elementary analysis through calculus. Though the book is technically a calculus text, the idea is for students to have a solid grasp on calculus before using it. He expertly "introduces" the concepts of calculus in ways that will intrigue even the most solid calculus student. There are typos in a few of the problems, and he uses the rather unusual technique of hiding several important theorems and ideas in the excercises, but usually one only has to read said problems to gather the theorem. I used this book in a very advanced calculus course at Ohio State. Only about 35 students a year take this course. By the end of the three course sequence there are usually only 15-20 students left. In summary, while the text is very good, it is also very difficult, so be careful when using it. ( )

Actually 3rd edition ( )