Please recommend your fav youtube or other channels explaining cool maths, and books, it would help me so much. I got *extremely* smart kids but I am not gifted in maths myself so I hope to throw stuff at them and see what sticks. In the sense of, 6yo going to university to find calculus is too easy. At the moment fractiles, hilbert curves, and square stacking problems are interesting but in 2 weeks, who knows. Nothing is too tough :)
Hi! That sounds like a very exciting parenting challenge. I have a whole bunch of channels I follow, see if there's any here you'd enjoy :)
suckerpinch - Tom 7 is a certified Computer Science Guy, and on his YouTube channel he makes these lovely videos on his weird programming projects, supplemented with silly drawings.
Sheafification of g - This channel has rapidfire irreverent presentations of math subjects, usually about category theory and its applications to logic and functional programming. This is probably my favourite math channel on YouTube right now, and it's the most similar to my own style of writing posts.
Sebastian Lague - He's an indie game developer who in recent years has found his stride making extremely well-presented videos on his own small exploratory projects called "Coding Adventures", usually on one specific technique in gamedev or computer graphics.
3blue1brown - I think everyone knows this channel, but it nevers hurts to include. Beautifully animated videos on all sorts of math subjects.
Numberphile - Very well known. Relatively short videos of mathematicians as they explain math subjects, oftentimes number theory, by writing with black markers on big sheets of brown paper. I don't watch all their videos but many of them are very interesting.
The Gray Cuber - Short animated videos on a variety of math subjects, usually either group theory or funny things you can do with numbers. In the past year or so he's really leaned into a very silly presentational style which does make me chuckle, and he has a knack for finding interesting ideas to really play around with.
Joseph Newton - Very lovely explainers on what I think are really interesting math subjects. Plus I like his voice.
optozorax - In my opinion one of the most exciting programming/math/physics projects currently on YouTube. They're investigating ways of modelling portals (like from the video game Portal), and how to make sense of what happens when they move or accelerate, or when they affect gravity, or pass through one another. Really really cool original work, including interactive web demos.
Mathemaniac - Animated explainers on math and physics, aiming to leverage visuals to create new intuition. I'm especially excited about his current series on differential forms.
Zundamon's Theorem - Two text-to-speech characters talk about math subjects in a sort of Socratic dialogue. Usually the subjects are interesting ways of looking at or generalizing familiar concepts from school mathematics.
Michael Penn - Presentations on lots of different math subjects, though oftentime he's running through either a long calculation or a proof of a single statement. Usually number theory or calculus, and always just him in front of a chalkboard talking to the camera. And that's a good place to stop.
webgoatguy - Cute short videos, working through solving elementary (meaning 'not a lot of theory necessary') problems while scribbling in a drawing program.
jacobneu - Animated explainers in a nice style, about topics related to homotopy type theory.
2swap - Animated explainers! These ones have some really stunning visualizations that help solve the presented problems. Also they're really into Connect 4 so there's a bunch of videos on that.
PolyaMath - Guess what, it's more animated explainers. Mostly about solving certain interesting puzzles, often about geometry.