I'm finishing a book on geometrical tensor calculus, and in the last chapter there're sophisticated stuff like the exterior covariant derivative and similar. Some laws of physics that are typically taught without this formalism are shown in this formalism, but there's much material in few pages (you know, it's the last chapter).

Do you know of a book that presents classical physics in this language? I know that Thorne & Blandford's "Modern Classical Physics" uses tensors, but I'm not sure if it uses sophisticated stuff like an exterior covariant derivative (I don't have a copy). #physics #differentialgeometry #tensors