[Math] Maxwell’s equations and differential forms

Question

Is there a textbook that explains Maxwell's equations in differential forms?

What I understood so far is that the $E$ and $B$ fields can be assembled to
a 2-form $F$, and Maxwell's equations can be written quite nicely
with the Hodge $*$ and the exterior deriative $d$.
Going further the equations can be derived as Euler-Lagrange (or Yang-Mills?) equations from a connection of a fibre bundle.

I am searching for a book that describes how the geometric entities are mapped to the physical entities with a focus on mathematical exactness.

Answer 1

Bernard F. Schutz, Geometrical methods of mathematical physics, p 175, chapter 5.11 Rewriting Maxwell's equations using differential forms.