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But all of those explanations seem infused with geometry (which I do NOT mean in a negative way at all); and are demonsrtrations.

I am searching for a more concise/abstract reason why stress is a tensor.

However, my education in math had been deficient. So am teaching myself new things.

And now that I understand a bit more about what a tensor is, after going through many of these wonderful videos:

(and many others)

... I am hoping someone can explain to me, concisely, without drawing tetrahera or any of those ways, why is stress a tensor.

In other words, beginning with a understanding of what a tensor is, why is stress one of these things?

And by that: do not DEMONSTRATE it is by doing a transformatoin..... EXPLAIN why is IS a tensor.