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



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