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I know of two good mathematics videos available online, namely:

  1. Sphere inside out (part I and part II)
  2. Moebius transformation revealed

Do you know of any other good math videos? Share.

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The sphere eversion video is available in one part on Google Videos: bit.ly/2Bmj3Z –  Harrison Brown Oct 21 '09 at 20:33
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Also, shouldn't this be community wiki...? –  Harrison Brown Oct 21 '09 at 21:57
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@harrison: yes. @Justin: please make these kinds of posts (anything where you say "one answer per post") community wiki in the future. Do not just wait for a moderator to forcibly convert it to community wiki. –  Anton Geraschenko Oct 21 '09 at 22:51

75 Answers 75

up vote 27 down vote accepted

I have compiled a list (1500+) of math videos at http://pinterest.com/mathematicsprof/ . If anyone is aware of others, please send them to me.

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77 instructional videos on category theory:

http://www.youtube.com/TheCatsters

I know you said "only one video per post", but I'm not posting 77 times...

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Gosh! Are they up to 77 now? –  Loop Space Oct 22 '09 at 7:54

The "Touching Soap Films" series by Springer. about minimal surfaces. Some excerpts of the video are available here: http://page.mi.fu-berlin.de/polthier/video/Touching/Scenes.html

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Dror Bar-Natan has begin putting many of his lectures and talks online in video format. I'm not claiming that these are the 'best' online maths videos, but they're certainly interesting, and in particular he's come up with some neat tricks to associate publicly editable annotations with particular moments in the video.

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You probably won't learn much actual math from it, but One Geometry is funnier and catchier than a Snoop Dogg parody about 3-manifolds has any right to be.

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This video is less about mathematics, but about a fascinating mathematician in two bodies who helped saving medieval unicorns - students liked it.

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I believe this was mentioned elsewhere, but for completeness, here's Serre on writing.

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Not lecture videos or anything, but the stuff from Oliver Labs is very good for just illustrating geometric stuff, like blowups and dual curves.

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'Not Knot' is also a nice vid

http://www.youtube.com/watch?v=AGLPbSMxSUM

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It's not only nice: it's great! –  Hans Stricker Mar 4 '13 at 23:23

My good friend Professor Elvis Zap has the "Calculus Rap," the "Quantum Gravity Topological Quantum Field Theory Blues," a vid on constructing "Boy's Surface," "Drawing the hypercube (yes he knows there is a line missing in part 1)," A few things on quandles, and a bunch of precalculus and calculus videos. In order to embarrass all involved, he posted the series "Dehn's Dilemma" that was recorded in Italy last summer.

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An excellent (and very lively) overview of basic one-variable calculus: Calculus I in 20 minutes: Part I, Part II.

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Elvis's youtube link

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Hey, that guy looks awfully familiar. –  Jim Conant Mar 9 '11 at 1:21

Most of the talks at MSRI are videotaped and placed on the web here:

http://www.msri.org/communications/vmath/index_html

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My personal all-time favorite is the Klein Four with their song "Simple Finite Subgroup (of order 2)"... it has lots of puns on topology in it, but I guess it doesn't teach anything.

Here's the link to the "simple finite subgroup" song

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The song may not teach anything, but I think it's contributed positively to my education! Listening to it every once in a while gives me evidence that I'm actually learning stuff, because the song keeps getting funnier. ^_^ –  Vectornaut Apr 19 '10 at 4:55

On this page of sample animations using the k3d program there's a short animation of a "flower" blooming which is actually the first part of the sphere eversion.

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My personal favorite in Dimensions, that was mentioned before by Gerald Edgar. For a neat and clear exposition the Geom.of 3 manifolds, Poincaré conjecture, etc I recommend this lecture by C.McMullen. Or Das Schöne denken (hosted at the HIM in Bonn), for a good "glimpse in the world of the mathematician". Jos Leys' mathematical imagery contains some (interesting) videos and (a lot of beautiful) images.

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The Newton institute in Cambridge tapes alot (all?) of it's lectures, and they can be found on the Institutes webpage. High quality for videos of lectures.

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Could you provide a link? –  J.C. Ottem Apr 23 '10 at 22:22
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newton.ac.uk/webseminars –  Grétar Amazeen Apr 25 '10 at 3:38

The Institute for Advanced Study tapes some of its lectures. They tend to be very good.

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Among the best math videos can be found here: http://www.khanacademy.org/

(or the youtube-channel: http://www.youtube.com/khanacademy )

There is everything from counting to solving differential equations with Laplace transforms - nearly 1.000 videos altogether (and the guy is funny :-)

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This one is quite old but it was fun when I watched a few years ago. It's about Fermat's Last theorem.

http://www.archive.org/details/fermats_last_theorem

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There are Stephen Boyd's lecture videos on convex optimization:

http://www.stanford.edu/class/ee364a/videos.html

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This isn't purely a math video, it's an interview with Peter Woit and it is something of a summary of the main issues discussed on his blog and in his book. He talks about math vs. physics culture, especially the string theory community.

http://bigthink.com/peterwoit

Discussion here:

http://www.math.columbia.edu/~woit/wordpress/?p=2670

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Along the sphere eversion lines, there is also the energy-minimizing sphere eversion constructed by Rob Kusner. I think there is a video of it at http://www.youtube.com/watch?v=I6cgca4Mmcc, though it isn't labelled as such.

Rob also has a page at http://new.math.uiuc.edu/laterna/minimax/ with some history of the minimax eversion.

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This video about Andrew Wiles and the proof of Fermat's Last Theorem is the only time I've seen the real excitement of mathematics presented accurately.

http://video.google.com/videoplay?docid=8269328330690408516#

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GRASP is a new lecture series at the University of Texas at Austin, which is aimed at bringing some of the fundamental concepts and big picture of the GRASP areas (Geometry, Representation, and Some Physics) to a wider audience (the intended target audience are beginning graduate students).

http://www.ma.utexas.edu/users/benzvi/GRASP.html

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I guess all of John Conway's lectures are great. Some of those can be found here : http://www.math.princeton.edu/facultypapers/Conway/

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