What's the craziest/most interesting concept/idea of math

>he hasn't seen the true magic of calculus via mechanics

That's not what Laplace Transforms do

>>8312775
>converting them to complex numbers

You don't convert them, rather you "view" them as complex numbers. For example, the real number sin(x)·e^(b·x) can be viewed as the complex part of e^(x·(b+i))

>>8312775
https://www.youtube.com/watch?v=yaPTk-DqT1g
fractals are pretty nuts in general

https://www.youtube.com/watch?v=8zGap43O1g4
Can this be a fractal thread?

>>8312782
l don't understand laplacian transformations yet although l know how to use them. l was thinking more about this: >>8312788

ln this example you easily could take the n-th derivate by continuously deriving e^(x·(b+i)) as (e^(x·(b+i)))_n = (i+b)^n · e^(x·(b+i)) and then taking the imaginary part of it, which is much easier than deriving sin(x)·e^(b·x) alone

>>8312792
>>8312807
l need to make a game where the world is a 3d fractal now

>>8312775
lf you think that's cool you're gonna have a heart attack once you study group theory

>>8312809
LT can also be understood as series,
see this 12min explanation:

https://www.youtube.com/watch?v=sZ2qulI6GEk#t=60

>>8312775
342A?