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I want to learn this stuff simply because Galois theory is awesome.

Or are you asking for applications of Galois theory? here's a list:

https://math.stackexchange.com/questions/19427/contributions-of-galois-theory-to...

(1 edit) (+2)

I think what Wechenbetelly is trying to point out is, why are you posting this? because its kind of turning into spam at this point. clearly no one is interested in engaging you about this topic here.

so wouldn't posting in a forum specifically for mathematicians or engineers be the best recourse?