A property common to many of my favorite textbooks: the author points out what is important to track (especially in ways not already part of the “standard wisdom”).
For example (grabbing the textbook nearest to me), The Geometry of Physics by Theodore Frankel is full of statements like:
Since TM and T∗M are diffeomorphic, it might seem that there is no particular reason for introducing the more abstract T∗M, but this is not so. There are certain geometrical objects that live naturally on T∗M, not TM.
or
There is a general rule of thumb concerning forms versus pseudoforms; a form measures an intensity whereas a pseudoform measures a quantity.
[...]
Our conclusions, however, about intensities and quantities must be reversed when dealing with a pseudo-quantity, i.e., a quantity whose sign reverses when the orientation of space is reversed.
A property common to many of my favorite textbooks: the author points out what is important to track (especially in ways not already part of the “standard wisdom”).
For example (grabbing the textbook nearest to me), The Geometry of Physics by Theodore Frankel is full of statements like:
or