I've tried learning basic tensor calculus (transformation law, inner & outer products, adding , etc..) and I could 'work' with the math with no problem, but sometimes I couldn't quite understand what I'm doing, is there a book that completely explains what is exactly happening and that has both mathematical and intuitive 'approaches'?

Is there a book that:

• Goes mathematically in depth with tensors (with a background of multivariable calculus and differential equations)

• Explains where everything comes from ( intuitive reasoning or mathematical proofs)

• Explains how they are used and why

In short, is there a book that gives you complete intuition about them?

  • $\begingroup$ An instance is "Gravitation" of Misner, Thorne and Wheeler $\endgroup$ – janmarqz Feb 4 at 16:36

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