Or maybe just a very good introduction to a variation on infinitesimal analysis.  As someone who disliked limits the first time I came across them, and having watched students I was teaching stumble (way too early in the semester) when limits are introduced, I wish more mathematicians would become aware of this approach.  Combining this book with "Calculus Made Easy", where nilpotent infinitesimals are used intuitively, might make for an excellent, limit-free introduction to calculus.