The Generalized Stokes Theorem
In the typical calculus sequence, students learn a bunch of integration theorem including the Fundamental Theorem of Calculus, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. At first glance, it is not immediately clear that these theorems are related. But it turns out that they are all secretly special cases of the exact same theorem: The Generalized Stokes Theorem. In this talk, we spend an hour exploring the connections between these theorems and how they are really the same theorem. Along the way, we introduce the concept of differential forms in a manner appropriate for a multivariable calculus student.
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Stokes' Theorem and Green's Theorem
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What's the General Stokes's Theorem? (An In-Depth Exploration)
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What A General Diagonal Argument Looks Like (Category Theory)
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The most beautiful formula not enough people understand
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Lecture 6: Exterior Derivative (Discrete Differential Geometry)
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A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)
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The general Stoke's theorem via differential forms.
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Gil Strang's Final 18.06 Linear Algebra Lecture
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Why you don't understand GREEN'S THEOREM -- Geometric Algebra, Calculus 3, Vector Calculus
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Stokes' Theorem on Manifolds
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The derivative isn't what you think it is.
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Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
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Differential Forms, Integration and Stokes' Theorem
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Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus
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Understanding Lagrange Multipliers Visually
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Math Professor Reacts to Animation vs. Math
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Roger Penrose explains Godel's incompleteness theorem in 3 minutes
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how to understand all of lie algebras with one picture
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Gauss's Divergence Theorem
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