Stokes' Theorem on Manifolds

Stokes' Theorem is the crown jewel of differential geometry. It extends the fundamental theorem of Calculus to manifolds in n-dimensional space.

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This video aims to give an intuitive discussion of Stokes' Theorem, without the complicated equations and formalism. For those interested in the details, here's a thorough treatment of the topic:

https://arxiv.org/abs/1604.07862

(Be warned, this rabbit hole goes very deep!)

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Pictures:

Boundary and Green's Theorem - "Calculus: Early Transcendentals - 8th Edition" by James Stewart
Exterior Derivative - "A Geometric Approach to Differential Forms" by David Bachman

Music:

Relaxing Guitar Music - Acoustic - Calming Music for Stress Relief, Studying

Видео Stokes' Theorem on Manifolds канала Aleph 0