Mathematical treatement of electrodynamics

[redrzewski]

I'm looking for something like Arnold's "Mathematical Methods of Classical Mechanics" that applies to electrodynamics/SR/GR. I'd prefer it exterior calculus based.

So far, I'm leaning towards Thirring:
https://www.amazon.com/dp/0387406158/?tag=pfamazon01-20

Anyone know anything about this Hehl book? It looks like a complete textbook on EM, but using exterior calc:
https://www.amazon.com/dp/0817642226/?tag=pfamazon01-20

I've gone thru Bamberg/Sternberg's "Course in Mathematics for students of physics", but that doesn't treat much electrodynamics.

Thanks

 

[iamthegelo]

Sorry for the off topic question but when you went through Bamberg and Sternberg's book was it for a class which gave solutions to the exercises? I want to go through the book but I do not like not knowing if my answers were right. If it was for a class, I was wondering if it had a website that gave some solutions to problems.

Again sorry for the off the topic question, but no one has yet to answer my question on another thread, thanks.

 

[redrzewski]

No. I'm just self-studying this on my own, so I don't have any of the solutions to Bamberg/Sternberg.

 

[redrzewski]

I found Hehl's site, where he has posted a decent sample from his Classical Electrodynamics book.

http://www.thp.uni-koeln.de/gravitation/mitarbeiter/hehl.html

 

[George Jones]

I've gone thru Bamberg/Sternberg's "Course in Mathematics for students of physics", but that doesn't treat much electrodynamics.

Both volumes?

 

[redrzewski]

Yes, both volumes. There's a few pages in volume 2 on it, but I was looking for a little deeper treatment. Ideally something ala Jackson but with exterior calculus.