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".
> 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...