/sci/ - Science & Math

Today I learned what double integrals are and even though in class we only saw really trivial examples (planes) and basically just covered the limit definition, when I got home I got myself some practice problems and learned all the little tricks like changing the order of variable and subdividing the region being integrated over.

And I have to say, doing double integrals makes me feel really good about myself. It makes me feel really smart. I am not sure why it is, but if it is anything then it probably is drawing the double integral symbol, writing dA, and specifying the region of integration under the integral as a set, rather than as an interval. Also when I say the word compact I feel like a big man.

Compact. Compact. Consider this compact set. Consider this family of compact subsets. Consider consider consider. Let A be a partition. I want to fuck a double integral.

And just now I was doing retarded shit as always like jerking off and watching dumb 4chan simulator videos on youtube when suddenly I remembered how good it felt to do double integrals, so I looked for more problems and just did them. It legitimately felt good to do those integrals and now the feeling has stuck in me. I may just see myself in the couple of weeks doing double integrals at the park, at the bus, in my room, in the bathroom while taking a shit. Who knows. Double integrals may be the best concept in mathematics that has ever been invented and no one can deny this to me. And I have felt so good that I have come here to you to preach about the one true god of mathematics: double integrals. Have you done a double integral today? Have you thanked the gentle authors who created double integral problems for us to solve? Thank them or you will go to integral hell, where there are only single integral problems and where compact sets do not exist.

So comfy.

>that feel when the definitions are so good that you can rigorously prove non-trivial results without even knowing why, intuitively, the proposition has to be true.

Like this problem sets melt away.