Green's Theorem, explained visually
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This video aims to introduce green's theorem, which relates a line integral with a double integral.
Line Integrals: • The Line Integral, A Visual Introduction
Divergence and Curl by 3b1b: • Divergence and curl: The language of Maxw...
For the example at 5:07, the equation of the vector field has the x equation and y equation flipped. It should be F=(-yx + x^3, 6y-9x).
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Read More:
https://brilliant.org/wiki/greens-the...
https://mathinsight.org/greens_theore...
https://www.khanacademy.org/math/mult...
http://tutorial.math.lamar.edu/Classe...
#calculus #multivariable #greenstheorem
Music by Chillhop: http://chillhop.com/listen
This video was animated using manim: https://github.com/3b1b/manim
Source code for the animations: https://github.com/vivek3141/videos