the issue is it takes a lot more machinery to explain it to someone - so lots of prereqs. but if you have that prerequisite knowledge, it's much simpler, conceptually. Lagrangian mechanics vs Newtonian mechanics is another example of this phenomenon. we teach the objectively more complicated theory because we can teach it sooner, to students with less of a math background.
Really? I never really got Lebesgue, but I didn't put any effort into it.
the issue is it takes a lot more machinery to explain it to someone - so lots of prereqs. but if you have that prerequisite knowledge, it's much simpler, conceptually. Lagrangian mechanics vs Newtonian mechanics is another example of this phenomenon. we teach the objectively more complicated theory because we can teach it sooner, to students with less of a math background.
Half a Joke: Yes, Newton is indeed much more complicated compared to the beauty of Lagrange where it applies.
this but unironically