Stokes' Theorem and Green's Theorem

Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl.

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This video was produced at the University of Washington

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0:00 Stoke's Theorem Overview
6:59 Green's Theorem
12:22 Geometric Explanation
16:30 Examples
18:45 Green's Theorem to Compute Land Areas

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[lifthrasir]

I wish I had such a professor as you, sir, during my vector analysis course. Thank you for the amazing work, now I feel like I can fill in some gaps ;)

[SarvParteekSingh]

Everything in this video is perfect, except the "thank you" at the end. It was such an amazing lecture, and I found myself saying "What?! No, thank YOU!"

[henokmekonnen]

This series of lectures deserve millions of views.

[chrisguiney]

...I have the sense that you've been waiting a long time to use the Get Stoked! pun :D Well, it got me to engage, so take your upvote ;)


I just bought a copy of your book the other week, and I'm looking forward to diving into it along with your lectures here. I haven't gotten a chance to watch this video yet, I've been meaning to say thank you for posting every video that you do. I'm a software engineer that really didn't fit in academia, and had learned a good chunk of the prerequisites for all of your material when teaching myself the math needed for physically based rendering. I started to casually branch into machine learning to satiate my curiosity and was surprised how much of the math I'd learned was transferrable. Your videos have really been elucidating, and have helped me deepen my understanding greatly. You're a great educator, and I really thankful that you've decided to share your knowledge so openly. The format works really well for me, and having the visual aids while we're able to see your face really helps me stay engaged.

All to say: Thank you, and please keep the content coming!

[Words-.]

Thank God for this man who knows how to make the complex simple. The textbook fr makes this way more confusing than it has to be.

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This guy has a great knack of connecting a lot of seemingly unrelated concepts

[mzafarullah]

What a gem this video is. The explanation combined with awesome presentation makes it easy to understand. Thank you very much!

[massimilianocassol]

Awesome lesson… when I was studying Analysis II all these theorems were so hard to understand, they were taken “as is”, and seemed so mysterious.

[fhz]

Stoke's Theorem (And Green's too) were the kind of theorem I just accepted as a bizarre true of the Universe when I first met them in the undergraduate course. Nowadays I understand them a little bit better. Watching prof. Button's class reminded me I still find both theorems incredible and some how magic, almost a supernatural mathematical property of the universe. The fact integrals of both sides of the equation are equal stills amuses me.

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Professors in our college just write the formula without explaining much. Everything is marks oriented.

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[MALAYAPH]

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[nathanzechar]

Thank you math bro. This is what I needed in my life. Mostly Green's theorem, I should have paid attention to that a bit more in EM.

[asirzaki]

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