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

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The discussion centers on finding texts that cover classical mechanics, electrodynamics, and general relativity with a focus on tensors and geometry. Recommended resources include "Mathematical Methods of Classical Mechanics" by V. I. Arnold and "Foundations of Mechanics" by Marsden, which is available for free. Additionally, "Introduction to Mechanics and Symmetry" by Marsden and Ratiu is mentioned, along with "The Formal Structure of Electromagnetics" by Post for electromagnetics. The conversation highlights a preference for texts that utilize a geometric approach, particularly in the context of mechanics. Overall, there is a clear interest in resources that emphasize differential geometry in the study of these physical theories.
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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...
 
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Is there any text on general relativity that does not heavily use tensors and geometry?
 
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.
 
"Mathematical Methods of Classical Mechanics" by V. I. Arnold
 
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.
 
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)
 

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