Real / Functional Analysis Video Lectures?

Knissp

Does anybody know of any good resources for this? Specifically for real analysis, I'm looking for something that covers calculus on manifolds, differential forms, Lebesgue integration, etc. and for functional analysis: metric spaces, Banach spaces, Hilbert spaces, Fourier series, etc. Thanks!

Bachelier

I don't think you'll find any videos on the subject except for some very short ones taken here and there in the classroom or out to explain or not some obsolete concept of RA.

I look forward to taking this course next Fall or Winter and was hoping to find something so I can get a feel of what's at hand but alas to no avail.

duke_nemmerle

Look around here

http://www.uccs.edu/~math/vidarchive.html

pbandjay

A book I found at my university's library for functional analysis is

Functional Analysis Vol. I: A Gentle Introduction
by Dzung Minh Ha

Information here

http://matrixeditions.com/FunctionalAnalysisVol1.html

This book helped me a lot, and it explains things well. Unfortunately it's not listed at half.com or amazon.com. At least I can't find it there. Might be worth taking a look at.

Edit - Sorry, I didn't realize this post was asking for videos.

SergeGardien

On youtube I've found this: http://www.youtube.com/results?searc...sis+Francis+Su

WiFO215

Thank you!! These lectures are fantastic!

rawsilk

Just found these. If your looking for the prerequisites for a mathematical foundations of quantum mechanics this will do. Supplementary texts include:
Kreyszig (which they use for this course, more application based)
Rynne & Youngson (Heavy on Theory)

http://freevideolectures.com/Course/...ional-Analysis

Sankaku

You will find the original videos here:
http://www.uccs.edu/~math/vidarchive.html

The basic Analysis courses on that page are good, too.

DiracRules

Maybe you found what you were searching for, but I wanted to link you a you-tube channel I find interesting...

http://www.youtube.com/user/khanacademy

Hope it is helpful!

bp_psy

Some Real Analisys and functional analysis lectures from University of Nottingham
http://www.youtube.com/user/NottmUni...984C080F2B0575
http://www.youtube.com/user/NottmUni...4B877A872B4F94

ForMyThunder

For Lebesgue, I suggest Stein and Shakarchi's book Real Analysis which also goes through Hilbert Spaces and their many examples. Royden's Real Analysis is also very good. Rudin has two small chapter introducing Lebesgue integration and differential forms in his Principles of Mathematical Analysis. Rudin also goes through all the necessary things on metric spaces. This is the standard text in introductory analysis classes.

Rudin also has a book on Functional Analysis but I prefer Conway's.

For differential forms and calculus on manifolds, Munkres has a book on Analysis on Manifolds. I have not personally read this book. If you are advanced enough, I would suggest Lee's Introduction to Smooth Manifolds, which covers topics from differential topology and introduces differential forms in a very abstract way. This is the book I used and I highly recommend it if you have the necessary requirements. Also, Richard Bishop's Tensor Analysis on Manifolds (this book is very dense) and Spivak's Calculus on Manifolds (haven't read this but hear good things) are excellent.

Rasalhague

This looks like a great resource. What browser did you use to view them? Every time I've tried, the streaming has been impossibly slow and staccato. Their viewing tips page says to right click on the video links to download them. But when I right click nothing happens, not in Firefox, nor in IE9.

Sankaku

It looks like they have changed their website for the worse. It is difficult to get the video files directly now. I looked at the page source and the MOV files are still available if you do a little hand-writing of addresses.

For example, if this is the course you want:
The videos are listed as this (with the appropriate number):
(I had to unclickify the links so they could be read).

You could email their feedback address saying that the streaming is poor and ask for an easy download link as well. It would actually save them bandwidth in the long run.

Rasalhague

Thank you, Sankaku, that's really made my day! I've been trying to find a way to watch those for ages. Let's just hope they don't disable it any time soon. I've notified them about the problem.

Sankaku

I just wanted to re-state that these lectures are first rate despite the low-res video. The UCCS ones are good as well, but Francis Su is a particularly excellent teacher.

Astronuc

Not a video lecture, but an online set of notes.

http://www.mathcs.org/analysis/reals/index.html