The Math Behind Fourier Transforms & Music

Fourier transforms explain the math connecting almost every area of STEM from biomedical engineering to physics to even music. Check the end of the video for the list of longer videos I watched that really helped me visualize and understand the transform a little bit better.

[cosmic_ash]

Loved the video, clear explanation and created an easy illustration of the concept, while also relating math to its applications! I wish we had more videos like this

[jonnygrossman]

That was one of the best introductory videos on Fourier transforms on You Tube. You should make more videos because you have a talent for explaining difficult concepts. Most Fourier intro videos are made by people who in spite of their intelligence aren't smart enough to inhabit the mindset of novice viewers. They assume that the viewer understands more basic math-physics concepts than they actually do. Your uses of the amplitude-time recording of the violin was relatable to anyone. And the way you drew the "Change of Domain" graph from Amplitude-Time and rotated it to Amplitude- Frequency and made the two domains one 3-D graph was the strongest part of your video. Most other videos just switch between these two domain changes with two 2-D graphs and novice viewers lose the transition when they do this. Thanks and hope to see more from you!

[mehryarmansoor]

That was a brilliant description of the Fourier Transform in just 3 minutes!

[JorgeV]

Beautiful explanation of the Fourier Transform and its application! Well done! Thank you!

[vector]

Thank you! You're the first person to make it through the high/low/everywhere pass filters of my thick skull. Now I get it. You're awesome👍. New subscriber here.

[arslanrozyjumayev]

Very clear and concise explanations, thank you!

[not_David]

Loved this video! Short and to the point but still clearly a lot of effort and care behind it. Excited to see more!

[flareonspotify]

Epic better than the last 50 videos i have watched to comprehend it function

[chillhopdrumz]

You’re an amazing teacher, this stuff is incredibly hard to explain in mathematical terms. I’ve only taken up to differential equations and remember really finding this topic fascinating when my professor touched on it but was intimidated by the mathematical rigor.

[cookingdriver]

wow what a creative way to explain mathematics. U got yourself a new subscriber . Keep making such videos. :)

[TriNguyen-xiji]

I would be happy to see more from you. Your video is informative but also very concise. Keep up the good work.

[tapiomakinen]

I almost heard my brain click, when you explained the transform from time to frequency domain. Thanks.

[bherdzrob]

Wow so cool. Relating Fourier to a very relevant application, the music. Amazing

[JoeBurnett]

What a great explanation supported by visuals and a real-world example. I would recommend that you make more instructional videos in this format if you have an interest in doing so. They would be very popular!

[successfulvictorypublisher]

SUPERB! Using Audacity to clearly illustrate the Fourier Transform! More videos please. Many thanks!

[jtris]

This feels like a really well done school project

[newtoninspired]

Wow! Textbooks should begin with this as an example to establish the Fourier Transform importance. Nice!

[chimetimepaprika]

This was cool, my dude. I find integral transforms to be like one of the tightest categories of math. Jijiji

[trashhuman]

When you wanna be a musician but your parents force you to become a mathematician

[xavierlee]

Great work! Super creative to use audacity as an oscilloscope.