Divergence and curl | Fluid flow with complex functions, part 1
Intuitions for divergence and curl, and where they come up in physics. Brought to you by you: https://www.patreon.com/3blue1brown Thoughts on going ...
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Today, you and I get into divergence and curl. But if you'll indulge me, it's worth sharing a little about the writing trajectory that led me here. I originally started writing this video to be a follow up to the last one about alternate ways to think about the derivative, namely it was going to be a view of what it means for a complex function to have a derivative. These functions are very interesting once you know them, but until then the words "complex derivative" aren't exactly the best way to hold a new learner's interest, so I wanted to center it around some more tangible motivating examples for where such functions pop up. One that's pretty interesting, and fun to illustrate, is that a certain representation of the simple function z + 1 / z can be seen as givin...
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Today, you and I get into divergence and curl. But if you'll indulge me, it's worth sharing a little about the writing trajectory that led me here. I originally started writing this video to be a follow up to the last one about alternate ways to think about the derivative, namely it was going to be a view of what it means for a complex function to have a derivative. These functions are very interesting once you know them, but until then the words "complex derivative" aren't exactly the best way to hold a new learner's interest, so I wanted to center it around some more tangible motivating examples for where such functions pop up. One that's pretty interesting, and fun to illustrate, is that a certain representation of the simple function z + 1 / z can be seen as givin...
