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A comment on Examples of common false beliefs in mathematics. Parent comment

Re:Examples of common false beliefs in mathematics by chaxor on Monday January 31, 2022 @04:38AM (#30146207)
To be fair, I have a graduate degree in engineering and working on a different PhD and there were many things in that these I didn't understand. It's really incredible to me how quickly everything just became category theory in literature - like overnight.

And stuff that used to be simple algebra is now explained as something like 'Abelian group linear transformations'.

I haven't heard of "smash products on pointed spaces" for example, and idk why I would think them to be associative. Fun language though.

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Re:Examples of common false beliefs in mathematics by whythatis on Monday January 31, 2022 @09:25AM (#30148183)
From what little I scrolled, I didn't see any category theory. Just some elementary group theory, point-set topology, real analysis, linear algebra etc Most of it standard material for undergrad math majors.

> And stuff that used to be simple algebra is now explained as something like 'Abelian group linear transformations'.

"Simple algebra" means different things in different professions? For example, Dummit&Foote's Abstract Algebra[0] would be considered "elementary algebra" by most mathematicians. For another example, Principles of Mathematical Analysis by Walter Rudin[1] is "elementary analysis".

[0] https://www.amazon.com/Abstract-Algebra-3rd-David-Dummit/dp/...

[1] https://www.amazon.com/Principles-Mathematical-Analysis-Inte...

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