Tensor-Based Physics

[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 (http://www.cds.caltech.edu/~marsden/books/Foundations_of_Mechanics.html). This books uses differential geometry very heavily.

Marsden also wrote a book on mechanics with Raitu, Introduction to Mechanics and Symmetry (http://www.amazon.com/Introduction-Mechanics-Symmetry-Exposition-Mathematics/dp/038798643X).

[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)