Advanced EM Field Book Using Differential Forms

[NeroKid]

Hey guys, I am wondering whether there is any book out there that approaches EM field using differential form and on the same or more advanced than Jackson, I have a solid knowledge of differential form and algebraic topology, thanks :D

 

[vanhees71]

The only book that uses Cartan calculus in classical electrodynamics is

F. W. Hehl, Y. N. Obukhov, Foundations of classical electrodynamics, Birkhäuser, Boston (2003)

 

[WannabeNewton]

Ryder's QFT text and Baez' text on Gauge Fields (and pretty much any covariant classical field theory text) but you won't be seeing nearly as many applications or in-depth calculations as in Jackson (for obvious reasons-the Cartan calculus while elegant is not very pragmatic for practical EM problems).

 

[NeroKid]

yeah but I want to look at EM field in a topological point of view rather than caculate it :D