Fourier Transform, Fourier Series, and frequency spectrum

Fourier Series and Fourier Transform with easy to understand 3D animations.

[EugeneKhutoryansky]

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[exxodas]

When they showed Sine waves in 3D, that was one of the biggest aha moments I’ve ever had. These guys are amazing .

[ThePenguinTutorials]

This video literally made me cry. I wish our current educational institutions taught math with the same beauty that you, Euclid, and other great thinkers were able to pull out of the logic of the numbers. Seriously great job!

[theoferreiramennabarreto]

I'm on my fourth year of Electrical Engineering, and the frequency spectrum has always been an abstract concept that I could never truly wrap my head around. Explaining it as a density of frequencies that, when inputed to sine functions, form a given function was a huge a-ha moment for me, thank you so much!

[randyzeitman]

If I had that animation in college it would’ve changed my career path.

[jamesday]

I've watched a few of these vids back to back now. I did my engineering apprenticeship back in '97 - '01. I could perform the math, answer the questions, but never really visualized what was occurring until now. A set of really great resources, showing what are beautifully simple ideas to grasp when taught in the right way.

[EugeneKhutoryansky]

I recently created a Patreon account for people who want to help support my channel. The link is on my YouTube home page. Also, in case, you have not already seen them, I uploaded several other videos recently. As always, for each video that you like, you can help more people find it in their YouTube search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.

[MistressGlowWorm]

My God, the Fourier Series is one of the most beautiful and poetic equations ever created.

[SkaldRPG]

This blew my mind! What an amazing example of how much more accessible even complex math becomes when visualized like this! Hats of my good sir!

[Vexxter]

The moment I saw the sine wave in 3D my mind was blown it was like my brain had unlocked a level it didn't know existed, seriously huge props to yiu my dude you're genuinely making people passionate about math

[franciscojavierizkierdoitu]

I never would have believed that the Fourier representation could look even better. Congratulations, Eugene!!

[esmashahin]

This is the most beautiful thing I've ever seen on YouTube, the only visual I've found thus far that truly captures the magic of sine functions. Thank you <3

[nrazz]

Hungarian Rhapsody in the background is distractingly beautiful

[chillingmeko]

That moment you have an ahh moment as an Electrical Engineering student. XD feels good bro.

[mfaraday]

When ever I came to this channel I feel two things
either I am in future or I am in 19-20 century .
The power of physics

[Christina.N.]

I have been taught this in lectures and I just did not "get it" . Until now. I cannot thank you enough for your hard labour. You are truly a pioneer.

[pc]

This is a work of art !

I am a big fan of simplicity and visualization. I think the biggest service to humanity is when you open someone's eyes in awe by simple explanation of a complex subject with brilliant visuals. You have done exactly that Dr.Khutoryansky. Please keep up the good work.

May I ask which software did you use to produce these amazing 3D animations?:

[musicaddikt]

This is genius....plus you managed to overlay the right kind of music that constructively interferes with learning. Good work, I love your videos, being a highly audio-visual learner.

[devbanthia]

the animation that you've used in this video is truly mind boggling. I wish my college professor taught stuff in the same
intuitive way that you do

[utkarsh-wlsg]

I cried watching this. Lots of thanks to you from India.