But what is a partial differential equation? | Overview of differential equations, chapter 2

Hi Josiah,

3blue1brown

Hey, My name doesn't come out right on the list of sponsors, it just printed as J, my name should be printed as 'Josiah Ebhomenye'

That’s a good question. I talked about putting it on hold in my Q&A video; long story short all the scripts I wrote just never felt compelling in the right way. But perhaps later in this current series it would make sense to revisit the idea of finding curl and divergence free vector fields, we’ll see.

3blue1brown

Is there still going to be a second half to the divergence & curl video?

john kraemer

Great video. The visualizations are super intuitive.

Bernhard

Wonderful work as always! I can't even imagine how much efforts went into creating all of the 3d animations but it really paid off! Thanks!!

I wish I had this video while attending my lecture on theoretical electrodynamics 8 years ago. Physics students of today can call themselves lucky to have your videos!

Thanks, I'm glad you like it .

3blue1brown

It's a beautiful topic, with no shortage of complexity and challenges. I think it's totally understandable for some students to hit a wall there, but it's a shame if the spirit of the subject matter doesn't come through.

3blue1brown

I'm glad you liked it! The Fourier one should be really fun, I've been enjoying writing/animating it.

3blue1brown

Thanks! That was fun to make. It was also an animation that changed made me change the script once I saw it, which I always think makes for better videos.

3blue1brown

Thanks! I do feel a bit embarrassed about that one. It's the price to pay for late night editing and no early release, I suppose.

3blue1brown

Wonderful as always. FYI, typo near the end "Scratch and itch" should be "Scratch an itch".

Awesome video. I especially loved the animation when the 2D function extended into 3D.

Beautiful work Grant. You've made things so intuitive and physically real - I feel like I actually have an intuition for the abstract concepts I've been working on for years now. Thanks so much! :D

J

Yeah, there really is something visceral here. And what I love is that it opens the door to some really interesting, and general, math.

3blue1brown

Slightly different target audience, but if you want depth of math with the same style, see Strogatz's textbook on Chaos and Nonlinear dynamics.

3blue1brown

Thanks! I'm enjoying producing them so far.

3blue1brown

I love this series. PDEs was the first math class I struggled with but I'm really looking forward to revisiting here.

Hey Grant! I was deeply impressed on how wonderful you've visualized this topic. Great idea to show a surface of two directions for illustrating the different deviations of T. I'm looking forward to seeing the next episodes of this series.

This was really great. The choice of heat flow was excellent as most of us are used to the hot stove, don't touch there, whereas fluid dynamics or electromagnetic theory with the same problem would not be as intuitive. And I just ordered Steve Strogatz' book as well.

white beard geek

Just finished reading Infinite Powers yesterday. I definitely enjoyed it, although I would have liked a little more depth to the math. :)

Just ordered a copy. Thanks for the tip!

Beautiful and illuminating as always. I seriously LOLed at the Fourier nicknames...

Can't wait for the entire series. Truly wonderful!!