Texts on Tensor-Based Physics: Classical Mechanics, Electrodynamics, & GR

[Reedeegi]

What texts are there that cover classical mechanics, electrodynamics, and general relativity utilizing tensors and geometry almost exclusively? I've had a tough time finding such a book...

 

[Landau]

Is there any text on general relativity that does not heavily use tensors and geometry?

 

[Reedeegi]

Is there any text on general relativity that does not heavily use tensors and geometry?

I have Carroll and Wald, but I'm interested on learning Mechanics utilizing the same language, if there has been such a formulation.

 

[dx]

"Mathematical Methods of Classical Mechanics" by V. I. Arnold

 

[Landau]

Also, Foundations of Mechanics by Marsden, which is available for free here. This books uses differential geometry very heavily.

Marsden also wrote a book on mechanics with Raitu, Introduction to Mechanics and Symmetry.

 

[Andy Resnick]

For electromagnetics, I'd recommned "The Formal Structure of Electromagnetics" by Post. Also, for mechanics, Marsden and Hughes "Mathematical Foundations of Elasticity", any book on Rational Mechanics (Truesdell, etc)