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Tensors, multivectors, wedge products, multilinear maps, exterior (Grassmann) algebras.

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Why is the standard definition of a $(p, q)$-tensor so bizarre?

I think that the answer lies in the "educational culture" of physicists. Physicists are often used -well at least at the undergraduate level- to learn and perform complicated computations with abstra …
Konstantinos Kanakoglou's user avatar