Laplacian intuition

A visual understanding for how the Laplace operator is an extension of the second derivative to multivariable functions.

[srgkzy]

That voice... makes me feel safe with math

[ryanthomas]

Literally got more intuition from a 5 min video than scouring through a myriad of textbooks back in my college days. It's interesting to note that the Physicists' notation for the Laplacian is nabla^2, which maybe makes it a bit more confusing because it implies it's the second order gradient or could imply the curl of gradient, etc.

[jlpsinde]

This is heaven on Earth for someone like me that learned this 24 years ago and just now understand!

[czarlito_]

Welcome, all you travelers, coming from Partial Differential Equations! Praised be 3B1B!

[e]

I swear to god, I've been reading various pages for days to understand what this operator does. You made it cristal clear in a few minutes

[ummwho]

You guys are amazing, thank you for publishing these! Multivariable calc is so much more understandable now!

[oscarsharkslayer]

I could never understand Laplace operators at school. I hated them. Today, my 7 year old kid looks at this video and says: "it is simple, why did you not understand?". Yes! This is a new wave of learning. Thank you Sal and thank you Blue Brown. You redefine learning!

[MattiLargeWorld]

The intuition for the laplacian is exquisite I am very glad that you’re getting a ton of recognition.

[victorvalencia]

3blue1brown should voice all math videos on the internet

[harshchikorde]

please make a vedio on LAPLACE TRANSFORM

[quantaali]

superb ... finally, I understand the concept of gradient, divergence and Laplace's equation.

[Luisgar]

I was saying today why doesn’t 3blue have a video on laplace… one trip to the search bar later and I found this hidden gem.

[mahsanafisi]

Thank you soooo much for amazing illustration and for making it so easy to understand.

[eduardoandrescontrerasrome]

Omg god, this video is sublime. I am currently taking an Electromagnetism class so we constantly use this concepto of the Laplace equation but I never really understood what it meant.

[priyocoutinho]

Nice explanation...it will help us get a picture of what we are doing when we solve laplacians...

[pavik]

Please make a video on laplacian operator in spherical and cylindrical coordinates

[technosapien]

this man is getting me through grad school

[jh]

Awesome, this helps with my electrical prospecting class.

[vector]

When I click on a Khan Academy video I pray it's a 3B 1B. Ghee was born for this.

[mitalpattni]

Please do a video on spectral clustering or graph theory!