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Change of basis ｜ Chapter 13, Essence of linear algebra | If I have a vector sitting here in 2D space, we have a standard way to describe it with coordinates. In this case, the vector has coordinates 3-2, which means going from its tail to its tip, involves moving 3 units to the right and 2 units up. Now, the more linear algebra-oriented way to describe coordinates is to thi... |
From Newton’s method to Newton’s fractal (which Newton knew nothing about) | You've seen the title, so you know this is leading to a certain fractal. And actually it's an infinite family of fractals. And yeah, it'll be one of those mind-bogglingly intricate shapes that has infinite detail no matter how far you zoom in. But this is not really a video about generating some pretty picture for us ... |
Q&A #2 + Net Neutrality Nuance | Hey everyone, no math here, I just want to post two quick announcements for you. First, the number of you who have opted to subscribe to this channel has once again rolled over a power of two, which is just mind-boggling to me. I'm still touched that there are so many of you who enjoy math like this, just for fun, app... |
Fractals are typically not self-similar | Who doesn't like fractals? They're a beautiful blend of simplicity and complexity, often including these infinitely repeating patterns. Programmers in particular tend to be especially fond of them, because it takes a shockingly small amount of code to produce images that are way more intricate than any human hand ever... |
How to lie using visual proofs | Today I'd like to share with you three fake proofs in increasing order of subtlety, and then discuss what each one of them has to tell us about math. The first proof is for a formula for the surface area of a sphere, and the way that it starts is to subdivide that sphere into vertical slices, the way you might chop up... |
Dot products and duality ｜ Chapter 9, Essence of linear algebra | Traditionally, dot products are something that's introduced really early on in a linear algebra course, typically right at the start. So it might seem strange that I've pushed them back this far in the series. I did this because there's a standard way to introduce the topic, which requires nothing more than a basic un... |
But what is a convolution？ | Suppose I give you two different lists of numbers, or maybe two different functions, and I ask you to think of all the ways you might combine those two lists to get a new list of numbers, or combine the two functions to get a new function. Maybe one simple way that comes to mind is to simply add them together term by ... |
Solving the heat equation ｜ DE | We last left off studying the heat equation in the one dimensional case of a rod. The question is how the temperature distribution along such a rod will tend to change over time. And this gave us a nice first example for a partial differential equation. It told us that the rate at which the temperature at a given poin... |
Higher order derivatives ｜ Chapter 10, Essence of calculus | In the next chapter about Taylor series, I make frequent reference to higher order derivatives. And if you're already comfortable with second derivatives, third derivatives, and so on, great, feel free to just skip ahead to the main event now. You won't hurt my feelings. But somehow, I've managed not to bring up highe... |
Tattoos on Math | Hey folks, just a short kind of out of the ordinary video for you today. A friend of mine, Cam recently got a math tattoo. It's not something I'd recommend, but he told his team at work that if they reached a certain stretch goal, it's something that he do. And well, the incentive worked. Cam's initials are CSC, which... |
How colliding blocks act like a beam of light...to compute pi | You know that feeling you get when you have two mirrors facing each other, and it gives the illusion of there being an infinite tunnel of rooms. Or if they're at an angle with each other, it makes you feel like you're a part of a strange, kaleidoscopic world with many copies of yourself all separated by angled pieces ... |
Essence of linear algebra preview | Hey everyone, so I'm pretty excited about the next sequence of videos that I'm doing. There'll be about linear algebra, which as a lot of you know, is one of those subjects that's required knowledge for just about any technical discipline. But it's also, I've noticed, generally poorly understood by students taking it ... |
Q&A with Grant Sanderson (3blue1brown) | What is a grobner basis? If that is your intent for what this Q and A episode is going to be, as far as technicality and deep explanation is concerned, you're going to be grossly disappointed. Same goes to whoever asked about what the Fourier transform has to do with quantum computing. I can say at a high level it's b... |
Lockdown math announcement | As many of you know, with the coronavirus outbreak still very much underway, there's a huge number of students who are left to learn remotely from home, whether that means doing distance classes over video conference, or trying to find resources like Khan Academy and Brilliant to learn online. So one thing that I want... |
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3Blue1Brown transcripts
Data
This dataset provides transcriptions of all videos of the amazing 3Blue1Brown.
Last update was on 09.02.2022.
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0 video_title 116 non-null object
1 transcription 116 non-null object
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