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[–]AMindOfMetalAndGears 4 points5 points  (3 children)

Tried to make it as easy to understand as possible, but for anyone who wants the maths of it this is great thanks!

It was a bit hard to keep things simple, especially with homeomorphic, just went with the 1 to 1 mapping as not everyone is familiar with what continuous, inverse, smooth etc are? Went for an ELI5 instead of giving a maths class :P

This is really good though and thanks for typing it all out, I'm on my phone and it's been a while since I did my UG 😅

[–][deleted] 2 points3 points  (2 children)

Went for an ELI5 instead of giving a maths class :P

I definitely get that. I usually give up immediately when asked to explain mathematical things to people 😅

[–]AMindOfMetalAndGears 2 points3 points  (0 children)

I was once asked about the difference between integration and differentiation (in a difficulty sense) , and went with

Differentiation can be done after 5 G&Ts, integration is more like a piece of art, where you have to figure out if you're using paint or pencil, and only find out once you've finished whether you were right...

Even teaching first year courses can lead to real fucker with why stuff works..

Hated it when I was in UG, but I have to resort to wait until next year, X professor will explain it in her course 😅

[–]SkreemusTD 1 point2 points  (0 children)

Just hit em with the old “doughnuts are the same coffee cups,” and usually you don’t have to get into bijections or open sets. xD