Looking for Complex Analysis Video Course

In summary, various sources for video lectures on complex analysis were discussed, including a diploma course from ICTP, a Khan Academy-style series, and a series from University of Washington. One source was found to be incomplete, but the lecturer plans to post more lectures in the future.
  • #1
antoan
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0
Hi folks,

I have been looking for some time for a video lecture course which deals specifically with complex analysis and think I have covered most of the sources listed in this sub-forum and some in the physics learning materials areas with no luck (including also MIT, YouTube, OpenCourseware, ITunes EDU). Except perhaps this: http://www.ictp.tv/diploma/search.php?activityid=MTH&course=Complex_Analysis"


With the risk of souding ungratefull, unfortunately, I find these difficult to follow due to the presentation format and sound. There are tons of other resources on Mathematics and physics there, others might be interested in.

I was wondering if anyone knows of an alternative video lecture course on this topic which can be downloaded?

Cheers
 
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  • #2
http://ocw.mit.edu/OcwWeb/Mathematics/18-04Complex-Variables-with-ApplicationsFall1999/CourseHome/index.htm

Are you looking for an analysis or an applications course? Do you already understand the Cauchy residue theorem, and the Cauchy-Reimann equations?
 
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  • #3
http://stream.sfsu.edu/

This contains some lectures on complex analysis. Click the "List all courses", and then you can find the index of complex analysis. I hope that it is the right content that you are looking for.
 
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  • #4
UW AMath510: Vector Calculus & Complex Variables Video Lectures

The above course is on sites like sharingmatrix, rapidshare etc...

I'm just pointing that out ;)
 
  • #6
go to NPTEL video course, see in in Mathemtics.
 
  • #7
antoan said:
Hi folks,

I have been looking for some time for a video lecture course which deals specifically with complex analysis and think I have covered most of the sources listed in this sub-forum and some in the physics learning materials areas with no luck (including also MIT, YouTube, OpenCourseware, ITunes EDU). Except perhaps this: http://www.ictp.tv/diploma/search.php?activityid=MTH&course=Complex_Analysis"


With the risk of souding ungratefull, unfortunately, I find these difficult to follow due to the presentation format and sound. There are tons of other resources on Mathematics and physics there, others might be interested in.

I was wondering if anyone knows of an alternative video lecture course on this topic which can be downloaded?

Cheers

Try: http://www2.latech.edu/~schroder/comp_var_videos.htm

Basically, its an abbreviated Calc I course with Z instead of x as the independent variable.

It is a Khan Academy style intro. Doesn't leave much as "an exercise for the reader" but that can be a very good thing, IMHO.
 
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  • #8
saijanai said:
Try: http://www2.latech.edu/~schroder/comp_var_videos.htm

Basically, its an abbreviated Calc I course with Z instead of x as the independent variable.

It is a Khan Academy style intro. Doesn't leave much as "an exercise for the reader" but that can be a very good thing, IMHO.

Thanks a lot saijanai, I'll check it out.

Cheers
 
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  • #9
saijanai said:
Try: http://www2.latech.edu/~schroder/comp_var_videos.htm

Basically, its an abbreviated Calc I course with Z instead of x as the independent variable.

It is a Khan Academy style intro. Doesn't leave much as "an exercise for the reader" but that can be a very good thing, IMHO.


I did'nt really like that to be honest. Not really explanatory, the guy just wants to run through with the syllabus.

I found a series of lectures which aren't complete.

http://adamglesserf09math481.wordpress.com/2009/10/

And then ofcourse there is the huge NPTEL archive on youtube.



There are 2 MODs in that lecture series, MOD 2 deals with elements of linear algebra and complex differentiability followed by complex integration in MOD 1. THe arangement is a bit haphazard but its the b iggest source out there.
 
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  • #10
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  • #11
saijanai said:
I found a couple more lectures in this series. http://blip.tv/search?q=math+481 I also asked if he had plans to post the rest online.

I spoke with Adam Glesser via e-mail. He apologizes that more of the lectures aren't up because he's in the middle of a move and is still unpacking boxes. He also apologizes for being too heavy on theory for physicists.

Recent complex analysis lectures of his that aren't showing up in most searches:

http://blip.tv/file/4440786
http://blip.tv/file/4440989
http://blip.tv/file/4441076
http://blip.tv/file/4441160
 
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  • #12
I have been trying for a while to find a video detailing branch cuts. Despite the wealth of definitions available online, it is very hard to visualize how to make multivalues functions single valued. Any help on this would be greatly appreciated. Thanks
 
  • #14
Ravian said:
go to NPTEL video course, see in in Mathemtics.

The complex analysis by NPTEL sucks.. sorry for the eomtions..
 
  • #15
Sankaku said:
Looks like he has posted up to Lecture 28 now

Just a note that Glesser's series is missing #15 (he said it wasn't properly captured).

Quick reviews:

Glesser is thorough but moves pretty slow for my tastes. That may be good or bad depending on your starting point.

Schroder is mostly going through the Churchill & Brown textbook with a bit more explanation and a few different proofs. If that is your course book, it could be a good series for review if your teacher didn't explain something well. He definitely moves a lot faster than Glesser.

The University of Washington AMATH501 with Mark Kot as a lecturer are (sadly) not freely available from UW. The first half is vector calc and the second half is complex analysis. I have only really watched the second half and, for me, it is the best by far. I liked Kot's style and he explains things very well without taking forever. It leans a a bit toward applied math, but most first complex analysis courses ("complex variables") usually do...

They are all pretty good teachers - just different priorities. We should be appreciative when material like this is released for free!
 
  • #16
http://www.amath.washington.edu/~kot/lect.d/401/fall10/webpage/tmp/all.html

This website would probably be your best bet. However, I have no idea how to access the videos or lecture notes, which I would really like to do. So if anyone knows how, just let us all know!
 
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  • #17
antoan said:
Hi folks,

I have been looking for some time for a video lecture course which deals specifically with complex analysis and think I have covered most of the sources listed in this sub-forum and some in the physics learning materials areas with no luck (including also MIT, YouTube, OpenCourseware, ITunes EDU). Except perhaps this: http://www.ictp.tv/diploma/search.php?activityid=MTH&course=Complex_Analysis"


With the risk of souding ungratefull, unfortunately, I find these difficult to follow due to the presentation format and sound. There are tons of other resources on Mathematics and physics there, others might be interested in.

I was wondering if anyone knows of an alternative video lecture course on this topic which can be downloaded?

Cheers

I had a similar problem and solved it after reading your post. Thanks!
 
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  • #18
Personal note of no particular relevance (mentors feel free to delete): I had Lars Ahlfors as a professor, who won the first Fields Medal ever for work in complex analysis.
 
  • #19
PAllen said:
Personal note of no particular relevance (mentors feel free to delete): I had Lars Ahlfors as a professor, who won the first Fields Medal ever for work in complex analysis.

Interesting. His textbook is certainly a classic. How did you find him as a professor?
 
  • #20
Sankaku said:
Interesting. His textbook is certainly a classic. How did you find him as a professor?

Decent. It was only 4 years before he retired for good. His accent and manner of pacing in front of the class reminded me of Dracula, but he did still make the effort to explain and answer questions.
 
  • #22
saim_ said:
Another video course on complex analysis; from PI. Much better videos than most from ICTP:

http://www.perimeterscholars.org/259.html

Thanks for the link. The course looks interesting. A Review of Complex Analysis and Group Theory using Mathematica.
 
  • #24
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra, personally i find this guy amazing lecturer,but this video lectures don't have proofs inside,just great explanations

guy videotaped that 1972 and its in better quality than most of things above,so much amazing lecturers and advanced technology and we still have to put up with garbagety lecturing like NPTEL,give me a break
 
  • #25

FAQ: Looking for Complex Analysis Video Course

1. What is complex analysis?

Complex analysis is a branch of mathematics that deals with the study of functions of complex numbers, which are numbers that contain both real and imaginary parts. It is a fundamental subject in pure and applied mathematics, and has various applications in physics, engineering, and other fields.

2. What topics are covered in a complex analysis video course?

A complex analysis video course typically covers topics such as complex numbers, analytic functions, contour integration, series and sequences, and the Cauchy-Riemann equations. It may also cover advanced topics such as conformal mapping, harmonic functions, and the theory of residues.

3. What are the benefits of taking a complex analysis video course?

Taking a complex analysis video course can help you develop a deeper understanding of complex numbers and their properties, as well as the techniques used to analyze functions of complex variables. It can also improve your problem-solving skills and prepare you for more advanced courses in mathematics and related fields.

4. Who can benefit from a complex analysis video course?

Anyone with a strong foundation in calculus and a basic understanding of complex numbers can benefit from a complex analysis video course. It is particularly useful for students pursuing degrees in mathematics, physics, engineering, and other quantitative fields.

5. Are there any prerequisites for taking a complex analysis video course?

While some knowledge of calculus and complex numbers is recommended, many video courses are designed to be accessible to beginners. It is important to have a solid understanding of basic mathematical concepts and a willingness to engage in challenging problem-solving.

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