Where is the follow-on to the Divergence and Curl video?
3Blue1Brown's video about divergence and curl is quite good. He makes reference to some follow-up material in the "next video", but I can't seem to find another video about this. Can someone please point me to the "next video" that he refers to?
Posted Dec 19, 2018, 5:55 PM UTC
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I know it can seem like I often make promises that I don't deliver on, and I certainly have done this more times than I care to admit.
In this case, I spent a couple weeks trying to get the narrative and explanation to feel good, even doing a number of sample lessons, but no matter what it either felt like I wasn't making a real point or that the viewer would just be swimming in a bunch of symbols. Part of it was that there were mixed motives: Show what conformal maps are, show why they're useful, show how divergence and curl relate surprisingly to complex functions, etc. What's more, the conclusion that I wanted to be an "aha" moment, namely modeling the wing, just came with so many asterisks about being idealistic, non-physical, and not easily generalized that I thought it lost too much of the satisfying payoff.
In general, when I hint at doing a particular project, then don't follow up, it's likely that I've gone down the path of trying it, and for whatever reason decided that something else was more worth prioritizing.
It'd be great if you would just post an update on eg twitter or patreon, like this. I really love your work, and you talking about what you're doing atm or why you aren't continuing something shows even more what amount of work you put into your videos.
Noted. Maybe reddit is as good a forum for this as any.
If you're curious, right now I'm working on something quite different: Two projects related to how to read more effectively. One specifically about reading math textbooks more effectively, the other being more general.
this honestly seems so helpful. one of the biggest barriers to getting into math (for me) was sitting down and properly going through Dummit+Foote
Well, that should be interesting..
Fortunately right now (in freshman year) we don't have a textbook we're required to eat up, but I guess 'learning' this now as as good a time as any.
No problem. I just wanted to make sure I hadn't missed something.
I did go through your Khan Academy videos on divergence, curl, Jacobian, and related topics. I feel like I got a pretty good understanding from them.
I wish so much that I had access to this material when I was in college (early 80's). Back then so much visualization that we take for granted now just wasn't available then.
I remember this huge aha moment when someone mentioned that if you could visualize an electromagnetic wave propagating through space, then the resultant vector seems to trace out a spring. And that vector having higher curl is like tracing out a more tightly wound spring.
Back then to see that, you would have to spend hours using a computer that cost $50k running software that cost $20k to program just a single case. Now you just hop on YouTube.