Seriously, how? Is there some generally accepted practice? You can’t really read the entirety of several books and compare them in short order, so what seems a reasonable way to do it?
As an experiment, I will review my undergraduate level differential geometry books by reading only the following parts:
- any preface or introduction explaining the outlook and structure of the book
- the section/chapter/part that introduces surfaces for the first time.
I choose the second item so that I can have something uniform, but not too long to read carefully. Also, this is a spot where students have a lot of trouble—the idea of a parametrized surface and the basic intrinsic geometry of lengths, angles and areas needs to be explained carefully from several perspectives.
If you have other another approach, I would love to hear it.