This book won't make you a calculus expert. There are a dozen 1200 page, door stop size texts that can do that very well. However, those books tend to make the subject overly complicated and inaccessible for beginners and overly cumbersome for people that just want a review of the chain rule.
For those taking their first calculus course or self-teaching, Thompson's book takes the terror out of the subject and gets you doing problems quickly with an intuitive, boiled-down to "just the nuts and bolts" style. The whole book can be worked through in a few evenings giving one a general feel for both the differential and integral side of calculus. The subject will make a lot more sense in a college-level course having had that 10,000 foot high overview. Sorry, you'll still need the 1200 page door stop at some point if you really want to learn the subject. I needed a quick refresher after not doing any calculus for 20 years and didn't have time to work through a textbook. Thompson's book was just right for that.
Note: This review is for the hardcopy of the 2nd edition, not the Kindle version!