D Vector Analysis
In this Appendix, we collect for reference some of the most useful of the formulas of vector analysis needed in our work. Some of the results are of a sort not usually found in such collections, and are more commonly found in treatments of differential forms. The theory of differential forms1 in differential geometry contains many useful results generalizing those of traditional vector analysis in an elegant fashion. Though we will not use this apparatus here, we will obtain special cases of some of these results, proving them in the more familiar Gibbs notation. We will denote the unit vector in a given direction d by ud.
D.1 VECTOR IDENTITIES
The usual rules of vector algebra apply. A few nontrivial identities ...
