Their Amazon descriptions are rather vague. Both appear to be introductory calculus books by the same author, but the second has a somewhat less general title:
Calculus by James Stewart, 2007, 1368 pages, and
Calculus: Early Transcendentals by James Stewart, 2007, 1336 pages
I have a vague recollection that an earlier edition of the first one is what I used in high school for AP Calculus and it was pretty good.
From poking around the publisher’s website, it looks like the longer one has an extra chapter on inverse functions. I don’t know why they publish both.
Though I don’t know about that particular book, the Calculus text I teach from also comes in two variations like that. The difference is in the way the topics are arranged:
In the one simply titled Calculus there’s a chapter about exponential functions (like e[sup]x[/sup]), logarithmic functions (like ln x), and other transcendental functions (like the inverse trig functions) that comes after the chapters on differentiation and integration and that discusses these functions, their derivatives, their integrals, their limits, etc.
The “Early Transcendentals” version of the book doesn’t wait until several chapters in to acknowledge the existence of things like e[sup]x[/sup] and ln x. The derivatives chapter includes the rules for differentiating such things (and examples and applications that use them), etc.
Thanks ultrafilter. I actually did some more extensive Googling and found an answer, amazingly from a site whose answers to things are generally quite circumspect.
It seems the only difference is that the latter book teaches derivatives and integration on exponential functions (e[sup]x[/sup], ln(x)) from the start, whereas the former (and most traditional calculus curricula) leave them until later. So the two books are apparently for these two competing philosophies in calculus education. Weird.
ETA: What Mr. Boink said.