e^(iπ) in 3.14 minutes, using dynamics | DE5

You actually have to understand calculus for that to actually prove it to you, but, you can show that it seems to work out numerically with a bit of programming knowledge, which I imagine is more common on Hacker News. I don't think either the numerical or symbolic proofs really help build intuition though. This video [1] kinda helps, although it glosses over the critical fact "multiplying by i rotates counterclockwise 90°." [1] ▶ this video

I keep a Google Document of these to share just in case people ask about my YouTube interests. I Actually Watched All of Them I have actually watched ALL of the videos on these channels and I don’t even feel bad about it :-) I actually like new videos from some of the ones below (like NativLang, for example) but they maybe don’t hold up in the early videos. - Space Time: PBS Physics, sooo good -- link -- Great first video: link - Lindsay Ellis: Really, really intelligent video essays about film and culture -- link -- Great First Video: link - Periodic Videos: Chemistry, including a video for every element -- link -- Great first video (obviously): link Other Math and Science - 3Blue1Brown: Amazing math visualizations -- link -- Great first video, how e^pi*i works: ▶ this video - NumberPhile: Fun math videos -- link -- Great first video: link - PBS Eons: Biology! -- link -- Great first video: link - PBS Infinite Series: Math math math, really really hard math -- link -- Great first video: link - SciShow: Science! More poppy but fun -- link -- Silly first show: link -- Actual physics: link - VSauce: Science-y? -- link -- Great first video: link - Practical Engineering: -- link -- Great first video: link Other Humanities - Alliterative: Connections via language -- link -- Great first video about gin and gimlets: link - Bon Appetit: Such fun food stuff! -- Gourmet Makes: link -- It’s Alive: link - Masaman: Genetics and human migration (an

IMHO, the "deeper truth" is addition is translation and multiplication is rotation/stretching (at least when it comes to rings and fields). It involves getting a geometric understanding of e to the pi i, and 3blue1brown explains it better than I could: link [6.28 min] ▶ this video [3.14 min] link [25 min]

3Blue1Brown's video "Understanding e to the i pi in 3.14 minutes" is a nice compliment to this post. ▶ this video