I'd just add that while he's a high-school teacher, much of the content would be equally applicable to undergrads or to anyone wanting to brush up on subjects like calculus and trigonometry.
Jan Misali is incredible, and 'There are 48 Regular Polyhedra' is an absolute fever dream. The idea of a conlang channel making this fantastically in depth video, complete with animation and weird monotone musical transitions, is just so funny to me.
I hated math growing up.. I thought I was stupid and just didn't not get what was taught to me.. I went into the liberal arts.. now I am dev and I love math now.. I am trying to learn so much. I struggled with basic algebra my whole life.. but the older I get the more I love math. Thank you!! Just reading this and follow someone videos my understanding is so much better thank you.
Maybe I'm so far behind on my maths education (stopped at 18 after UK A Level) but I found a lot of 3Blue1Brown's videos hard to understand. It's possible that he has prerequisites I never watched. YouTube is bad at discovery.
A lot of math videos aren't meant to be understood on first watch. If you're really trying to learn, you'll need to pause and think about what he's saying and really internalize it. Take it at your own pace. And also rewatch the video to see if there's any insights you missed on your first watch.
So don't be discouraged if you need to pause often or take a long time to finish the video. The rewards are worth it.
If it helps, I’m currently studying maths at university, and I’ve never found them very helpful for my understanding personally. Grant uses a lot of geometric/visual analogy and intuition which just isn’t how I think about problems. I think his videos are great, but they’re not for me.
I agree about these videos not always being designed to get you to a complete understanding just by watching through the series.
For example, the 3b1b linear algebra series is great but I couldn't have used it to become proficient at _doing_ linear algebra. Even having taken a linear algebra class, I got more out of that series as a supplement to actually working out math problems on paper than as a primary source—and I definitely think that's what's intended.
I'm also a big fan of Freya Holmér. She's the author of one of my favorite VR games, Budget Cuts, and her Youtube channel has videos on game development math and shaders
I find Insights into Mathematics (https://youtube.com/c/njwildberger) interesting and thought provoking. Even though many subjects are well beyond me, I appreciate the way subjects are dissected and explained. Note though, AFAIU the channel mainly deals with pure mathematics, not always relevant for applied mathematics.
Just a caveat: Wildberger subscribes to a strict, non-mainstream view that rejects the existence of infinite objects. His exposition is fantastic, and as you say the content is definitely thought provoking if you have enough mathematical sophistication to (at least superficially) understand what he's about, but I wouldn't recommend it to anybody who hasn't taken a traditional real analysis course.
Great list! I'd just add one complementary platform to the fun. brilliant.org, the way they approach math puzzles is stimulating and has been great to enhance understanding.
You need to subscribe, but if you actually use it I think it is priceless.
Note: this is my personal recommendation, I don't benefit from promoting brilliant, just thought others might share a similar learning style.
Richard Borcherds, a Fields medalist, has been putting out great math content on YouTube for the past year and a half (https://youtube.com/channel/UCIyDqfi_cbkp-RU20aBF-MQ). He even has lecture courses on a variety of undergraduate and graduate classes.
"the infamous Numberphile claim that the sum of all natural numbers is -1/12"
Number file definitely cannot be credited with that. I thought it dated back to Euler though I now find that is doubted - origin seems uncertain. It is so fantastically counter intuitive it certainly belongs in recreational mathematics. And that it is used in physics makes it a thing.
Maybe nice to mention that Matt Parker's Stand-up Maths video on the cheating on a MiceCraft speed-run is really very nice [0]. It not only exposes the cheater, it also gives some intuition into negligible probabilities.
This one is very strange, at least the abstract algebra videos (the only one I glanced at): It’s a hired actress with no apparent math background reading a script she’s never seen before, but the script is the shortened summary of a very dry abstract algebra textbook. I don’t really see the point vs. just reading the book yourself.
Their "about" page has testimonials from the "Great Thinkers" Isaac Newton, Hermione Granger, and The Sun.
Shannon's book, The Mathematical Theory of Communication, is approachable with the mathematical background of first-year college calculus. I don't think it requires any more math than is essential to understand the topic.
https://youtube.com/c/misterwootube
Would have loved to have him as math teacher