Video Lectures for Upper-Level Mathematics

In summary, the conversation revolved around the sharing of video lectures for upper-level mathematics courses. Participants were asked to refrain from sharing videos for introductory courses and to focus on whole courses rather than seminar videos. Some suggested links were provided, including Ted Chinburg's lectures on Algebra and Algebraic Number Theory, UCCS Archive's videos on Real Analysis and Functional Analysis, and N J Wildberger's lectures on Basic Algebraic Topology. The conversation also included requests for videos on Galois Theory, Category Theory, Topology, and Complex Analysis, as well as some physics-related links. Other suggestions included Mathematicalmonk's videos on graduate Probability Theory, ThoughtSpaceZero's videos on Topology, and TheCatsters' videos on Category Theory
  • #36
Calculus of Variations (20 lectures) and Integral Equations (20 lectures)

http://nptel.iitm.ac.in/courses/111104025/
 
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  • #37
http://nptel.iitm.ac.in/courses/111106052/
 
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  • #38
Khan Does Cohomology!

Well actually not Khan but some amazing guy following Hatcher's book & Khanacademy's format!

Homology

Cohomology

What fcuking coolness! :cool:
 
  • #41
The NPTEL lectures are surely coming up but not at a rate one would have hoped for. I mean I had the idea that they would release all proposed lectures by 2012 end. But I guess I was wrong.

By the way are there any lectures out there on complex analysis ?

Thanks.
 
  • #42
http://www.perimeterscholars.org/318.html
http://www2.latech.edu/~schroder/comp_var_videos.htm
you can find more if you google it
 
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  • #43
alemsalem said:
http://www.perimeterscholars.org/318.html
http://www2.latech.edu/~schroder/comp_var_videos.htm
you can find more if you google it

Cool , thanks for the find.

And some activity from NPTEL on the mathematical front after a long time.
A course on Real Analysis from the NPTEL Stable : - http://nptel.iitm.ac.in/courses/111106053/ .

Let's see how it goes.
There's one on the web by Francis Su of Harvey Mudd as we all know.
This one covers integration in addition to topics covered by Harvey Mudd. Let's see.
 
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  • #47
Nice work finding the Morse Theory and SL2R videos. Now I need time to watch them!

I am afraid that I haven't come across any multi-variable complex analysis videos.
 
  • #49
sponsoredwalk said:
http://nptel.iitm.ac.in/courses/111101005/ by I.K. Rana, author of the best book in existence...

I am finally getting around to watching some of these. He is a decent teacher but, my goodness, he goes slowly through the material. FOUR hours to talk about set algebras? I think my prof probably spent all of about 40 minutes before getting on with the rest of the course...
 
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  • #52
Does anybody know of ANY general relativity instructional videos/series on the web/youtube other than Susskind's stuff?
 
  • #53
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  • #54
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  • #55
sponsoredwalk said:
Haven't watched them yet but am dying to:

GR Lectures Following Carroll

GR Lectures Following Landau & Lifgarbagez

http://www.tifr.res.in/~mukhi/GR/sm-gr.html

http://perimeterscholars.org/396.html

Nice finds sponsoredwalk. You got youself a praise!:smile: Oh, I mean "thanks." They keep changing it.

Is the GR Lectures Following Carroll one only audio? I couldn't get any video on that. Perhaps I was doing something wrong?
 
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  • #57
Good Youtube Channel

Takes an Indian (& Russian if you want to push me) look at some concepts.


DiracPool said:
Nice finds sponsoredwalk. You got youself a praise!:smile: Oh, I mean "thanks." They keep changing it.

Is the GR Lectures Following Carroll one only audio? I couldn't get any video on that. Perhaps I was doing something wrong?

No man it's all in video, but if you notice his notes are in .tiff format so I guess the videos somehow encode that format & it's causing problems for you - vlc player plays them for me but I can tell it's having problems doing so. At the bottom of the page there is a link to his course from the year before which might work better for you
 
  • #58
sponsoredwalk said:
No man it's all in video, but if you notice his notes are in .tiff format so I guess the videos somehow encode that format & it's causing problems for you - vlc player plays them for me but I can tell it's having problems doing so. At the bottom of the page there is a link to his course from the year before which might work better for you

Yeah, last year's lectures are working, thankfully. The current lectures on my VLC player and every other player I have just show the notepad, but nothing is ever written on it. That goes for the all of the dozen or so lectures I tried. Go figure.
 
  • #59
Can anybody tell me any GROUP THEORY, INTEGRAL EQUATIONS video lectures, that starts from the very basic and leads to advanced level,
Thank you
 
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  • #61
sponsoredwalk said:
Modern Methods in Theoretical Physics
Real Manifolds, Complex Manifolds, Kaehler Manifolds, Calabi-Yau Manifolds, Homology, Cohomology, Chern-Simons Theory, Geometry of Riemann Surfaces, Elliptic Functions...

Interesting. I just watched the first one, building up to the basics of differential forms. He is a good lecturer, but don't use this for your first exposure to the subject! It would make a nice review. Those watching should be comfortable with index notation for tensors and probably have seen exeterior products before in another context.
 
  • #63
Can anyone help me out with some Graph Theory?
 
  • #64
depends on the book you're using but just search it out on google. MIT also has open courseware on it.
 
  • #65
Tenshou said:
Can anyone help me out with some Graph Theory?

Graph Theory
 
  • #66
The GR lectures following Wald are very nice but they only seem to cover the first half of his text, more or less. Does anyone know of lectures that cover material following more or less the second half of his text (primarily causality, mass and angular momentum of space-times, asymptotic flatness, and general stationary black holes)?

On an unrelated note, does anyone know of any series of theoretical PDE lectures?

EDIT: And am I the only one who's bothered by the fact that the GR course following Wald (linked above by sponsoredwalk) only has 3 assigned problem sets, all of which contain only easy problems?
 
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  • #67
https://itunes.apple.com/us/itunes-u/partial-differential-equations/id461769779 is the best theoretical PDE's course I've come across, click on the blue "i" to get the full title then find the actual lectures here or here (haven't checked which one but shouldn't be hard to figure it out). The best way to deal with ICTP lectures is to download them then use irfanview to view the pictures because you can lock the zoom & position for the pictures to get a whole half-screen video, half-screen blackboard then play them at x2 speed in vlc player :wink:

As for GR, the most advanced ones are probably in the perimeter links - every year is different so check them all.

If you find anything better post it back here!
 
  • #68
Jesus you're fast! Thank you very much, I'll check it all out. The Perimeter Institute GR lectures seem to be noticeably bent towards setting up a foundation for quantum gravity (based on the emphasis on the Vierbein formalism, scalar-tensor theories of gravity, and variational principles), which is really nice. I wish I could find GR lectures on mathematical general relativity though :frown:
 
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  • #69
Haha: Causality is mentioned among other things in these lectures, the second lecture in here discusses asymptotics & angular momentum (though might be research level stuff). There are also these about which this is only information I can find.
 
  • #70
Wow. You're awesome thank you so much; I owe you one! One of those talks is given by Wald himself so that's really awesome. It seems like the lecture pdfs associated with Wald are on the issue of self-forces, which is actually why I wanted theoretical PDE lectures in the first place. Thanks again.
 
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