Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]

Comments · 403

• SE

  @seanhunter111 · 1 year ago · pinned

  The name “Nabla” for the del operator comes from a mathematician discussing it with a friend who was an encyclopedist and the second person remarking that the inverted triangle shape looked like an ancient Phonecian harp called a nabla.  Love these videos btw. The presentation style is so clear.

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• AM

  @amalshadin · 2 years ago

  So this is what Harrison Wells does when he's not in the flash.

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• EF

  @EfficientEnergyTransformations · 4 years ago

  The best explanation of these concepts, from the point of view of physics and physical problems, I have seen in Oliver Heaviside's "Electrical Papers". Many people, in science do not know that it was Heaviside who came up with the vector form (in the way we know them today) of the Maxwell's famous 20 equations. Maxwell wrote his theory in quaternions, but it was highly misunderstood for more then 20 years, and it was Heaviside who basically single-handedly morphed, end extended, that theory in what currently is known today as classical electrodynamics. The truly amazing fast in all this is that Heaviside had only a high school degree! It is a true testament what an intelligent mind can achieve, even without being thought in formal educational system, ones focused on an intellectually challenging and exiting problem.

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• IA

  @ianfinley89 · 4 years ago

  Shout-out to Nabla, the Funky Homosapien! The greatest rapper to convert a scalar field to a vector field!

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• GM

  @gmgmusicofficial · 3 years ago

  That del the funky homosapien reference floored me haha, great video professor thank you for the insight

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• PI

  @Piechosis · 1 year ago

  I love how you filmed the video. Writing on glass or whatever transparent material, then mirroring the entire thing to make it eligible to the viewer. Its genius.

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• KR

  @krewmaga · 2 years ago

  Few weeks ago I have no clue nabla, gradient or divergence are even things. Now I need it on my first semester of college and I'm grateful channels like this exist

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• LI

  @light_1917 · 1 year ago

  <a href="https://www.youtube.com/watch?v=lKXW7DRyyro&amp;t=769">12:49</a> This my macbook&apos;s wallpaper now

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• RA

  @rajanalexander4949 · 3 years ago (edited)

  Excellent explanation, thank you! &nbsp;Extra points for &quot;nabla the funky homosapien&quot;.

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• EV

  @everestoshare8470 · 9 months ago

  I recommend this series of video lectures for a deep understanding of Computational Fluid Dynamics (CFD) simulations

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• NJ

  @njathifrancis · 3 years ago

  Thank you for explaining what my professor couldn&apos;t

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• FI

  @FilipeSilva1 · 4 years ago

  You are fantastic. I hated learning this in university and am absolutely astonished with how interested it can be when related with a physical sense/purpose

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