"Without pure mathematics, mathematics is impossible, without applied mathematics, mathematics is useless"
Thoughts?
>>7800475
Applied math works very well without "pure" math.
>>7800477
There wouldn't have been any applied math without it being "pure" in some sense.
First it is considered pure. Then it gets applied. Simple as that. Both are needed, both are getting work. None is better than the other.
You babbies better stop this debate.
>>7800545
"applied math" didn't wait for riemann to compute integrals.
>>7800549
lol wut
Integrals are literally riemann sums generalized.
What are you talking about even?
First people work out the theory then the same people or other people apply said theory.
This is how it works...
Applied mathematics is just old "pure" mathematics.
You think optimization wasn't pure as fuck once upon a time? Your precious engineer dickbabby calc? Yea derived from purity.
Fuck man sometimes I even wonder why I visit this board. You guys are the dumbest fucks around.
>>7800687
You seem to have no idea what "pure" math means.
>>7800696
Neither do I then... what do you mean with pure maths? Category theory?
>>7800696
I study Lie-algebra at the moment. Pretty sure I have a better grasp about this shit definition-wise then you.
>>7800687
Integrals are exact, Riemann sums are estimations
>>7800475
>without pure mathematics, mathematics would not exist
>Without applied mathematics, engineers would still suck cock
>>7800734
Integrals are continous sums....
Holy shit you see those boxes that you did in your calc 1? Where you "draw" riemann sums? Yea, let the density go to infinity and you get an integral.
This is called the dx-element....
Not sure if you are serious or just trolling but man. I'm tired of this shit board.
>>7800731
I studied Lie algebras two years ago. Looks like you are wrong, undergrad babby.
>>7800763
kay ;^)
>>7800759
Except with integrals you can create an exact formula for the abasement of a curve.
>>7800734
Integrals are estimations, Riemann sums are exact.