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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 i
by chaxor 5y ago
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.
- whythatis 5y agoFrom 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/0471433349 https://www.amazon.com/Abstract-Algebra-3rd-David-Dummit/dp/... [1] https://www.amazon.com/Principles-Mathematical-Analysis-International-Mathematics/dp/0070856133/ref=pd_lpo_1?pd_rd_i=0070856133&psc=1 https://www.amazon.com/Principles-Mathematical-Analysis-Inte...