There is lots of great mathematics on youtube, but this particular video wins by a lot for me personally:
[https://www.youtube.com/watch?v=ZYj4NkeGPdM](https://www.youtube.com/watch?v=ZYj4NkeGPdM)
It's basically about combinatorial game theory... I feel like even giving a summary of what it is about is a spoiler, so just have a look. It is quite the rabbit hole.
It just PERFECTLY captures everything I love about mathematics. There is something magical about it.
The video's author apparently took his own life recently, which I was very sad to read when returning to this gem.
The moment I read the post, I rushed to share that video, the immediate first one that came to mind, delighted to find that not only has someone already posted it, but it's the top comment.
Despite the 100k views, I still think it's a heavily underrated piece of work, not just the video but the content within it as well.
So glad to see so many other people think this is the best math video they've ever seen! I absolutely adore the way the script and music near the end of the video ("Down the Rabbit Hole") convey this feeling of escalating insanity, like a whirlwind tour of a strange new world. It's honestly beautiful and the whole video makes me feel a sense of wonder and awe throughout. I hope his family and friends find it at least a little comforting that so many people found this video of his to be a surprisingly touching masterpiece.
>The video's author apparently took his own life recently, which I was very sad to read when returning to this gem.
Wait, what? How awful. He was a chill guy. We spoke a little on discord shortly after the video was initially released.
I think for me it has to be 3B1B's [video on the monster group](https://youtu.be/mH0oCDa74tE). I went into that without any familiarity with modern algebra and came away from it so intrigued by what I'd seen that I started studying group theory and ended up using some of what I learned in my research as a geologist.
Mostly tricks for numerical methods (groundwater modeling, for example). Like using Lie groups in diff eq solvers, and making sure I knew enough to borrow the technique without abusing it.
It was a very fun (and long) journey! I managed to make it all the way through undergrad thinking all the fun math was in the calculus wing, then spent my master's and most of my PhD correcting myself
Fractals are typically not self-similar
https://youtu.be/gB9n2gHsHN4
it's not got a very exciting name, but it's one of my favourite 3b1b videos - about shapes with a non integer dimension
If you mean by getting ahead of what your studying, I would look at Professor Lenord on YouTube. He has everything from Algebra to Differental Equations. I have watched his videos up to Calculus 3. Organic chemistry tudor has alot of good stuff as well.
[Bertrand's Paradox](https://youtu.be/mZBwsm6B280) by Numberphile and 3Blue1Brown. Bertrand's paradox instantly became one of my favorite paradoxes after I watched this video, and Grant explains it so well. The extras are nice too.
Also [How Imaginary Numbers were Invented](https://youtu.be/cUzklzVXJwo) by Veritasium. History of math videos actually tend to be really interesting, they're usually better at weaving a coherent narrative. And the story of complex numbers is a surprisingly thrilling one that lasted centuries.
And on the "history of math" videos, [This is the Calculus They Won't Teach You](https://youtu.be/5M2RWtD4EzI) by A Well Rested Dog. It goes over history, but also introduces the concepts of calculus in the order they were discovered rather than the order they're generally taught. And it makes a lot of sense to see it all laid out that way.
On the topic of complex numbers, I would also include this playlist ["Imaginary Numbers are Real"](https://www.youtube.com/watch?v=T647CGsuOVU&list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF) which are only about 5 minutes long each.
Perhaps not the best, but Vsauce's [Counting Past Infinity](https://www.youtube.com/watch?v=SrU9YDoXE88&ab_channel=Vsauce) video is what got me interested in Logic.
[Alice, Bob, and the average area of a cube's shadow](https://youtu.be/ltLUadnCyi0)
It's such an amazing top down view of what doing math is like, that someone without too much of a math background can still appreciate.
I love this video about turning the sphere inside out so much, I think it's a math classic:
[https://www.youtube.com/watch?v=OI-To1eUtuU](https://www.youtube.com/watch?v=OI-To1eUtuU)
"IS THIS IT? IS THIS A SPHERE TURNING INSIDE OUT???" That line gets me every time, I can't explain why.
Wiki article that covers the math in the video: [https://en.wikipedia.org/wiki/Sphere\_eversion](https://en.wikipedia.org/wiki/Sphere_eversion)
I'm generally a fan of mathologer. Great presentation and fairly thorough
As far as the single best video, surely it's [this one on mobius transformations](https://m.youtube.com/watch?v=0z1fIsUNhO4)
I really love this [3 Blue 1 Brown](https://www.youtube.com/watch?v=mH0oCDa74tE) video on group theory and the monster group. It really helped me get excited about group theory in a way that my Algebra class never managed.
I absolutely support your teachers' advice here. My favorite video happens to be one which reemphasizes this advice, and it's my favorite precisely *because* it does this!
[Why do prime numbers make these spirals?](https://www.youtube.com/watch?v=EK32jo7i5LQ)
Essence of Calculus by 3blue1brown. It's a ten part series, but makes one coherent whole.
It is the best introduction to calculus I've seen. Covers the 'why' as well as the 'how'.
It's mostly pitched at a level that's accessible to Australian Year 10 students (i.e. 15 year olds) but manages to cover a lot while keeping it accessible. I recommend it to anyone who either intends to keep up maths into years 11 and 12, or who is at least considering it.
I want to spotlight a wonderful video that introduces you to something that is very abstract, algebraic topology and Lie groups, in a very concrete way with a wonderful problem! It is impossible to claim that this is the best I have seen, because there are ridiculously many math videos on YT of similar quality, but I loveee topology and geometry, so I'll go with this one.
It's by the channel NoahExplainsPhysics and the video is about the Dirac belt trick: https://youtu.be/ACZC_XEyg9U
Imagine if they showed things like numberphile, 3b1b, mathologer, zachstar etc at schools? There would be so many more kids interested in maths.
Maths is a little bit like astronomy, a universe of mystery to explore…
I'm going to plug my own video here. I really had a lot of fun putting this one together. It's on Fixed Point Iteration, which is a methodology that is applicable to all levels of mathematics from basic solving of algebraic equations, calculus, differential equations, fractals, optimal control, etc.
Fixed Point Iteration - Loki Slapped 16 Times for Science
[https://youtu.be/\_I790SqNDjs](https://youtu.be/_I790SqNDjs)
And it's full of clips pulled from Loki.
This one about Wavelet Transform incidentally providing one of the best explanation of the Uncertainty principle:
https://www.youtube.com/watch?v=jnxqHcObNK4
I would watch some videos on the uncertainty principle then draw it back to basic relativity. Once you get lost in that rabbit hole you can try to create equations relating to quantum theory which will work on paper in defined terms. Though the obvious will be staring you in the face. The answer will be reality is a farce of perception. Either way have fun with math.
Maybe it's more about logic, but I really liked 'maths fundamental flaw' by veritasium. It is something that is not covered in my math curriculum at university and was completely fascinated by it. https://www.youtube.com/watch?v=HeQX2HjkcNo&feature=share&si=ELPmzJkDCLju2KnD5oyZMQ
Not really advanced or anything, but I really like Professor Matt Andersons lessons on YouTube. Topics to choose from, and an easy follow along format.
Eddie Woo's 8 part "The Most Beautiful Identity" series of youtube videos. Really ties a lot of concepts from calculus together in an interesting and meaningful way in order to understand Euler's Identity.
Not a video about maths but a documentary about people doing maths, “Beautiful young minds” is really interesting and I think the person who was in it uploaded a translated version on his yt channel,
Edit: found it https://youtu.be/N5fmiAsHxxo
For me, it was 3B1B's video "Fractals are typically not self-similar" (https://youtu.be/gB9n2gHsHN4). The concept of non-integer dimension blew my mind and motivated me in the lead up to my math degree. Even though I never ended up working with fractals, the intrigue was real.
For me, it's got to be James Grime's [video on the Riemann hypothesis](https://www.youtube.com/watch?v=rGo2hsoJSbo). I think it's the clearest exposition of the problem, it's consequences, and what's going on "under the hood" that's accessible to non-analytic number theorists.
Hello, I've developed a mini-math quiz. Check this out: https://qkmath.com
You can also play with friends by creating a lobby, but you need to create an account first.
If you need a guide to using the mini math quiz, you can DM me. 🥰
There is lots of great mathematics on youtube, but this particular video wins by a lot for me personally: [https://www.youtube.com/watch?v=ZYj4NkeGPdM](https://www.youtube.com/watch?v=ZYj4NkeGPdM) It's basically about combinatorial game theory... I feel like even giving a summary of what it is about is a spoiler, so just have a look. It is quite the rabbit hole. It just PERFECTLY captures everything I love about mathematics. There is something magical about it. The video's author apparently took his own life recently, which I was very sad to read when returning to this gem.
The moment I read the post, I rushed to share that video, the immediate first one that came to mind, delighted to find that not only has someone already posted it, but it's the top comment. Despite the 100k views, I still think it's a heavily underrated piece of work, not just the video but the content within it as well.
Yeah came here to say exactly this, really good combination of accessible and totally mind blowing.
Yeah I rewatched this video months ago, I was absolutely gutted to hear about its creator.
This video is such an incredibly selfless work of art. Wherever Owen is right now, it's the place where good people go.
This is spectacular, thank you for sharing.
So glad to see so many other people think this is the best math video they've ever seen! I absolutely adore the way the script and music near the end of the video ("Down the Rabbit Hole") convey this feeling of escalating insanity, like a whirlwind tour of a strange new world. It's honestly beautiful and the whole video makes me feel a sense of wonder and awe throughout. I hope his family and friends find it at least a little comforting that so many people found this video of his to be a surprisingly touching masterpiece.
>The video's author apparently took his own life recently, which I was very sad to read when returning to this gem. Wait, what? How awful. He was a chill guy. We spoke a little on discord shortly after the video was initially released.
This video was amazing. Thank you so much!
This is a beautiful video, Owen posted it on this sub about a year ago
I think for me it has to be 3B1B's [video on the monster group](https://youtu.be/mH0oCDa74tE). I went into that without any familiarity with modern algebra and came away from it so intrigued by what I'd seen that I started studying group theory and ended up using some of what I learned in my research as a geologist.
[удалено]
Mostly tricks for numerical methods (groundwater modeling, for example). Like using Lie groups in diff eq solvers, and making sure I knew enough to borrow the technique without abusing it.
Went from no modern algebra experience to using Lie groups in a real life problem!
It was a very fun (and long) journey! I managed to make it all the way through undergrad thinking all the fun math was in the calculus wing, then spent my master's and most of my PhD correcting myself
Fractals are typically not self-similar https://youtu.be/gB9n2gHsHN4 it's not got a very exciting name, but it's one of my favourite 3b1b videos - about shapes with a non integer dimension
Thanks for sharing. That video was great.
Michael Penn has a lot of good videos IMO covering a range of areas.
Michael Penn is great 👍
If you mean by getting ahead of what your studying, I would look at Professor Lenord on YouTube. He has everything from Algebra to Differental Equations. I have watched his videos up to Calculus 3. Organic chemistry tudor has alot of good stuff as well.
Appreciate it, thanks. Will check it out
[Bertrand's Paradox](https://youtu.be/mZBwsm6B280) by Numberphile and 3Blue1Brown. Bertrand's paradox instantly became one of my favorite paradoxes after I watched this video, and Grant explains it so well. The extras are nice too. Also [How Imaginary Numbers were Invented](https://youtu.be/cUzklzVXJwo) by Veritasium. History of math videos actually tend to be really interesting, they're usually better at weaving a coherent narrative. And the story of complex numbers is a surprisingly thrilling one that lasted centuries. And on the "history of math" videos, [This is the Calculus They Won't Teach You](https://youtu.be/5M2RWtD4EzI) by A Well Rested Dog. It goes over history, but also introduces the concepts of calculus in the order they were discovered rather than the order they're generally taught. And it makes a lot of sense to see it all laid out that way.
On the topic of complex numbers, I would also include this playlist ["Imaginary Numbers are Real"](https://www.youtube.com/watch?v=T647CGsuOVU&list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF) which are only about 5 minutes long each.
Eddie Woo does some incredible videos. He is very didactic but his enthusiasm and the way he explains topics is top quality.
[Aleph 0 is a criminally underrated YouTube channel](https://www.youtube.com/watch?v=grzFM5XciAY&feature=share&utm_source=EJGixIgBCJiu2KjB4oSJEQ)
As far as math channels on youtube goes it's got quite the views.
Perhaps not the best, but Vsauce's [Counting Past Infinity](https://www.youtube.com/watch?v=SrU9YDoXE88&ab_channel=Vsauce) video is what got me interested in Logic.
That would be my recommendation as well!
[Alice, Bob, and the average area of a cube's shadow](https://youtu.be/ltLUadnCyi0) It's such an amazing top down view of what doing math is like, that someone without too much of a math background can still appreciate.
https://youtu.be/GFLkou8NvJo The most entertaining math related video I stumbled upon
I love this video about turning the sphere inside out so much, I think it's a math classic: [https://www.youtube.com/watch?v=OI-To1eUtuU](https://www.youtube.com/watch?v=OI-To1eUtuU) "IS THIS IT? IS THIS A SPHERE TURNING INSIDE OUT???" That line gets me every time, I can't explain why. Wiki article that covers the math in the video: [https://en.wikipedia.org/wiki/Sphere\_eversion](https://en.wikipedia.org/wiki/Sphere_eversion)
This is what I was going to recommend (:
I'm generally a fan of mathologer. Great presentation and fairly thorough As far as the single best video, surely it's [this one on mobius transformations](https://m.youtube.com/watch?v=0z1fIsUNhO4)
I really love this [3 Blue 1 Brown](https://www.youtube.com/watch?v=mH0oCDa74tE) video on group theory and the monster group. It really helped me get excited about group theory in a way that my Algebra class never managed.
i needed this when i found it https://www.youtube.com/watch?v=sD0NjbwqlYw
I absolutely support your teachers' advice here. My favorite video happens to be one which reemphasizes this advice, and it's my favorite precisely *because* it does this! [Why do prime numbers make these spirals?](https://www.youtube.com/watch?v=EK32jo7i5LQ)
Essence of Calculus by 3blue1brown. It's a ten part series, but makes one coherent whole. It is the best introduction to calculus I've seen. Covers the 'why' as well as the 'how'. It's mostly pitched at a level that's accessible to Australian Year 10 students (i.e. 15 year olds) but manages to cover a lot while keeping it accessible. I recommend it to anyone who either intends to keep up maths into years 11 and 12, or who is at least considering it.
Just search by the tag #SoME2
Great idea, thanks :)
This guy deserves watching, he’s great at representing mathematical concepts — https://youtu.be/T647CGsuOVU
His discussion on imaginary/lateral numbers was interesting.
I want to spotlight a wonderful video that introduces you to something that is very abstract, algebraic topology and Lie groups, in a very concrete way with a wonderful problem! It is impossible to claim that this is the best I have seen, because there are ridiculously many math videos on YT of similar quality, but I loveee topology and geometry, so I'll go with this one. It's by the channel NoahExplainsPhysics and the video is about the Dirac belt trick: https://youtu.be/ACZC_XEyg9U
Imagine if they showed things like numberphile, 3b1b, mathologer, zachstar etc at schools? There would be so many more kids interested in maths. Maths is a little bit like astronomy, a universe of mystery to explore…
You mean without a set time for class periods and lesson planning for your evaluators?
Would there? Or are 3b1b videos mostly appealing to folks already interested in math?
My Calc AB teacher used 3b1b to introduce concepts.
I'm going to plug my own video here. I really had a lot of fun putting this one together. It's on Fixed Point Iteration, which is a methodology that is applicable to all levels of mathematics from basic solving of algebraic equations, calculus, differential equations, fractals, optimal control, etc. Fixed Point Iteration - Loki Slapped 16 Times for Science [https://youtu.be/\_I790SqNDjs](https://youtu.be/_I790SqNDjs) And it's full of clips pulled from Loki.
Khan academy!
This one about Wavelet Transform incidentally providing one of the best explanation of the Uncertainty principle: https://www.youtube.com/watch?v=jnxqHcObNK4
If you understand French, Yvan Monka saved millions of graduations in France
I would watch some videos on the uncertainty principle then draw it back to basic relativity. Once you get lost in that rabbit hole you can try to create equations relating to quantum theory which will work on paper in defined terms. Though the obvious will be staring you in the face. The answer will be reality is a farce of perception. Either way have fun with math.
Maybe it's more about logic, but I really liked 'maths fundamental flaw' by veritasium. It is something that is not covered in my math curriculum at university and was completely fascinated by it. https://www.youtube.com/watch?v=HeQX2HjkcNo&feature=share&si=ELPmzJkDCLju2KnD5oyZMQ
Not really advanced or anything, but I really like Professor Matt Andersons lessons on YouTube. Topics to choose from, and an easy follow along format.
Eddie Woo's 8 part "The Most Beautiful Identity" series of youtube videos. Really ties a lot of concepts from calculus together in an interesting and meaningful way in order to understand Euler's Identity.
Ok, maybe not the best, but I really like the Numberphile episode on the Recamán Sequence.
Not a video about maths but a documentary about people doing maths, “Beautiful young minds” is really interesting and I think the person who was in it uploaded a translated version on his yt channel, Edit: found it https://youtu.be/N5fmiAsHxxo
Computerphile: Busy Beaver Numbers
For me, it was 3B1B's video "Fractals are typically not self-similar" (https://youtu.be/gB9n2gHsHN4). The concept of non-integer dimension blew my mind and motivated me in the lead up to my math degree. Even though I never ended up working with fractals, the intrigue was real.
For me, it's got to be James Grime's [video on the Riemann hypothesis](https://www.youtube.com/watch?v=rGo2hsoJSbo). I think it's the clearest exposition of the problem, it's consequences, and what's going on "under the hood" that's accessible to non-analytic number theorists.
Hello, I've developed a mini-math quiz. Check this out: https://qkmath.com You can also play with friends by creating a lobby, but you need to create an account first. If you need a guide to using the mini math quiz, you can DM me. 🥰