3blue1brown

New probability video! "The independence assumption"

Hey folks,

I have a new probability video for you.  The plan is for this show up as chapter 3.   Preceding it, but not yet made, there will be an introduction to basic combinatorics (e.g. n choose k stuffs) and a primer on probabilit...

Re-recording of an old favorite (no charge of course)

Hey everyone,

I've been working on the next probability video, which involved sort of revamping my original plans and pulling out some content as a separate video.  Anyway, in part of the writer's block that ensued, I went back and re-recorded...

How much counting to include in EoP?

Hey Patrons, 

So I'm putting together a video on the binomial distribution meant to go pretty early in the series (likely video #2 or #3).  The plan is for this to follow a video covering the basics of what a distribution is (along with j...

Cryptocurrency supplement: How secure is 256-bit security

Hey everyone,

As promised, here is the supplement to yesterday's video.  No charge, of course, since this is an add-on to a different main project.  I had a lot of fun putting this together, let me know what you think!

Also, I'm goi...

New video! Ever wonder how Bitcoin (and other cryptocurrencies) actually work?

Hello all,

One thing I've enjoyed doing in past videos is putting together a narrative for how the viewer could reasonably have invented the relevant piece of math themselves.  Admittedly, there's always something a little contrived in doing t...

Sneak peek for the 2's: Cryptocurrencies

Hello $2+ patrons,

Here's a draft for tomorrow's video about the protocol behind bitcoin and other cryptocurrencies.  The only part I haven't put in yet is a little preview for the supplement video, which I'm hoping to put out Saturday or Sund...

Photo thanks for the $2+

Hey $2+/video Patrons,

Given that I had originally said I'd share with you some form of photographic thanks with a $2 bill, while taking some photos on my flight back from VidCon today I thought I'd dig through my wallet.  And sure enough, I h...

Thoughts on the classic Bayes' example

Hello again,

Following up on the last post, this video goes into one of the most famous examples of Bayes' theorem.  Part of why I wanted to include it in the series is to give my own take on the example, putting out the possibility that Bayes...

Bayes' rule!

Hey everyone,

Although I have yet to decide on the  full table of contents for the probability series, the most obvious video to include is one covering Bayes' rule.  So I decided to start creating things out of order and begin with this ...

New video! All possible pythagorean triples, visualized

Hey everyone,

This is kind of a fun one.  The first time I ever learned about the formula for generating pythagorean triples, it was in the context of stereographically projecting rational points onto a circle.  The visual intuition of th...

Animations for the fours

Hello +4's,

The upcoming video is on finding all possible pythagorean triples.  Here are a few excerpts from animations I'm working on.

https://youtu.be/Z6nsLuzUl0M

New video! Pi hiding in prime regularities

Hello all,

You might notice that this is the longest video I've ever made, coming in a 30 minutes.  It's one of my favorite pieces of math, and exemplifies why I love number theory so much.  The progression here is a nice example of a pro...

Early view of tomorrow's video: Pi hiding in prime regularities

Hello $2+ Patrons!

I've decided to change the $2 reward from the photographic thanks to instead giving you all a little early view of stand-alone videos that I finish before the Friday that I plan to publish.  Given my propensity to make mista...

Sneak peek for the fours

Hello $4+ patrons,

Here are a few preview animations from the upcoming video, which will be entitled "Pi hiding in prime regularities".  As usual, these are just the animations themselves out of context, with no narration or anything, mean mos...

Share your thoughts on probability

Hello Patrons, 

Now that calculus is wrapped up, that means the next big "Essence of" project will be on probability.  Even though I won't start working on it for a few weeks, instead focussing on two upcoming stand-alone videos, I'd love...

Higher order derivative footnote

Hello all!

I made a small footnote video on higher order derivatives to precede the Taylor series video.  No charge, as this is a purely supplemental and smaller video.

-Grant

Taylor series video!

Hey Everyone,

The last installment of "Essence of calculus" is on Taylor series.   I enjoyed reading through the comments on the previous post about what made the topic click for several people, and it helped to solidify what I wanted to ...

When did Taylor series click for you?

Hey everyone,

I'm putting together a video on Taylor series, and I don't know about you, but when I was a student first learning this topic I definitely did not appreciate how important they are.  It seems that only happens once you run into a...

New video: Averages with integral, EoC Chapter 9

Hey everyone,

This is the follow-on discussion of integrals.  Originally I had intended for this to have a wider scope, but I chose to narrow in on the example of finding an average for a few reasons: It's good practice for the general idea of...

New calc video! Integrals and the fundamental theorem of calculus

Hello Patrons,

After the desert of differentiation, we are finally at the oasis of integrals.  You may notice that much of this video overlaps with the (new) first chapter of the series.  Given that they are separated by 7 videos, it seem...

New version of chapter 1 for Essence of calculus

Hey everyone,

I decided to create a different version for the video introducing the series.  There's no charge here, since it's a remake and not a new video.  As always I'm all ears to hear what you think.

The main motive here is to...

New calc video! Limits.

Hi Patrons,

The next installment of "Essence of calculus", about limits, is now ready.  I appreciated the comment thread about whether or not to include a discussion of the epsilon-delta definition, and ultimately decided to include it.  ...

Some early limit animations for the fours

Hey 4+ patrons,

Here's a couple animations from the upcoming limits video.  As you can tell, I ultimately did decide to go with including some talk about the epsilon-delta definition in this one.  I think it's one of those topics that has...