Recently, my peaceful kingdom in the territory of math and physics is forcefully invaded by the thing called Euler's number, e. These numbers are everywhere, as if they come in boats from some war-plagued country. Now they really bother me because they are simultaneously powerful and incomprehensible (at least currently for me they are, I am very sure a slightly better college student will despise my dull intellect.) Imagine a knife with an invisible blade: this is what I mean by being powerful and incomprehensible. You use this knife however you want, carve marbles to present a sculpture for the pope or slice up some watermelons or spread some butter onto your bread or open an envelope whatever you want, it works fine yet you don't see the blade. This is how terrified I feel about this number e.
This wretched e is in complex number operations, my harmonic oscillators and wave equation solutions, Fourier's transforms, Gaussian distributions, everywhere in my CALC 163 and PHYS 143. Please stop hiding and draw your gun I need a duel.
The best I can say is that this e is the following:
It works with complex exponent to form a rotating clock;
It has itself as a derivative;
and it turns multiplication into addition.
But how the h*** the first point is related with the second and third is still very suspicious.
Oh speaking of which I know there will be a day when its similarly cursed ally, π, comes to bother me again.
Please stop this Satan I can see your tail.
《When Math and Physics Become Incomprehensible》留言数:1