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17Calculus - Stokes' Theorem Proof

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This page contains proofs of Stokes' Theorem. It is important to read/watch more than one proof since different instructors explain proofs in different ways. This will help your understanding of proofs.
For more about proofs in general, see the article You Can Understand Math Proofs.

Videos

These sets of videos show proofs of Stokes' Theorem. Although not necessary in order to use Stokes' Theorem, these videos will give you a deeper understanding and appreciation for the theorem.

Michael Hutchings - Proof of Stokes' Theorem [16mins-57secs]

Khan Academy - Stokes' Theorem Proof (1) [5mins-13secs]

video by Khan Academy

Khan Academy - Stokes' Theorem Proof (2) [7mins-38secs]

video by Khan Academy

Khan Academy - Stokes' Theorem Proof (3) [4mins-10secs]

video by Khan Academy

Khan Academy - Stokes' Theorem Proof (4) [7mins-18secs]

video by Khan Academy

Khan Academy - Stokes' Theorem Proof (5) [5mins-27secs]

video by Khan Academy

Khan Academy - Stokes' Theorem Proof (6) [5mins-26secs]

video by Khan Academy

Khan Academy - Stokes' Theorem Proof (7) [11mins-48secs]

video by Khan Academy

Documents

Here are some pdf documents showing proofs of Stokes' Theorem.

Stokes' Theorem Proof pdf - MIT OCW

source: MIT OCW

Stokes' Theorem Proof pdf - Wiley

source: Wiley

Links

This link is to a page with a proof using Green's Theorem. The notation is a bit strange due to html display issues. East Tennessee State Math - Stoke's Theorem Proof.

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