Introduction to the Fourier Transform (Part 1)

Thank you finally someone who speaks english.

Very elegantly explained from first principles. Thanks for posting!

This looks so INTERESTING! 😊

more than 10 years since he posted the video and he still saves our grades :)))

thank you so much, your explanation helped me a lot.

Thanks

How this fourier, inverse fourier, laplace, z transform is useful in computer.

These are amazing! Most beautiful video in the series so far because e^(pii) = -1 😊

Just what I wanted. Helpful for the Laplace transforms.

It's been a while since I've had to compute a Fourier transform. How nostalgic, thanks 😁

Not nu or upsilon?

Great!

great introductory class

Im confused! The real and imaginary parts of the equation are identical but the speaker claims one is even and the other is odd. What am I missing?

Great explanation !!!
Thanks!

So this is how everything was created. Thoughts ( frequency energy) you transform in into Space and Time Domain in which we live right now🤯🤯

It's really really helpful....easy to understand..thank uuuu so much dear....❤️

this was a really good video, thanks

I am interested in Fourier series, Laplace Transform, Differential equations.
And I have read "Advanced Engineering Mathematics" by Erwin Kreyszig.
Could you recommend some other good books to study those mentioned above.

At time ~10, real part is not even: cos(a)-sin(a) is not equal the
cos(-a)-sin(-a)
The same for imaginary part.
Am I wrong?

Brian,
I am a huge fan of your videos. They are super informative and easy to digest. I am looking for good text books or reference books for this sort of material. I really need to solidify my understanding of the fundamental concepts of mathematics that can be be used for modeling and analyzing dynamic physical systems. Can you recommend any books to me?

My goal is to creat a comprehensive suite of VBA functions that can be used to analyze and model control systems in the chemical Industry. (both through regression and development first principles). I want it to include tools like developing a transfer function from historical data of a controllers output and input, regression of FOPDT models, I already have tool that generates the bode plots from a ratio of 3rd order polynomials in the Laplace domain, and a tool that takes the Fourier transform of a time based data series. I want to make a lot more stuff of that nature. Any help from anyone would be greatly appreciated.
Thanks,
Josh

The expression A(v)cos(2pivt) was transformed to F(v)e^(2pivt) due to Euler's formula. But formula says that e^(2pivt) = cos(2pivt) + sin(2pivt), not that e part is equal just to cos(2pivt). So how e^(2pivt) became only equal to cos(2pivt) part? Linear combination of sinusoids says that we can combine asinx+bcosx to be equal to Acos(x-phase) but still I don't get just cos(2pivt).

Incredible. Thank you.

tnks a lot man

Perhaps someday these equations can solve the mood irregularities of my girlfriend.

You have explained something in few lines that others took video to. Amazing, detailed and highly simplified explanation. Cheers !!

You sir, are a master of your craft! Thanks for the amazing video's

good

I wonder how many people drop off at the 8 min mark. If you're stuck go to Micheal van Biezens series of videos.

Video is more complicated because he shunned away from using omega as the angular frequency, thus leaving tons of excess expressions throughout video..... PLUS angular frequency is analyzed further in the S-domain, it is analyzed for drawing Bode plots.

Just brilliant. Thanks from Italy :)

Dude how do you learn read math functions, all the wiggly lines make no sense to me, is this something I'd learn in algebra

Hi, im sorry but I didn’t get why the imaginary parts cancel out in the equation. I tried applying eulers formula but cant seem to cancel it.

god pls don't let this be on the EIT. lol i've been working in construction and utilities since graduating 4 years ago and don't remember any of this. transformers sure, circuit analysis sure, but this is out there

After rewatching it for three times, I finally understood it. BIG THANKS MAN! <3

Thx man !

you are awesome

Dang... I need me some serious hoodo to get on this ride... Whatch this...