Fourier Series. An Intuitive Explanation.

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Күн бұрын

• Fourier Series. An Int...
00:00 Why Fourier series?
01:08 The concept of Fourier series
03:05 Fourier coefficients
06:15 Fourier basis
09:38 Example: Sawtooth function
More: en.fufaev.org/fourier-series

Пікірлер: 36

@fufaev-alexander 2 жыл бұрын

Support me if you want me to create more maths videos: kzfaq.infojoin Do you want to solve every physics problem? Try my eBook! ✅ Contains many useful physics formulas. ✅ Understandable for everyone, because it contains no vectors and integrals. ✅ Formulas are colored and visualized. ✅ Perfect for high school and undergraduate physics students. Click on the following link to get the book: en.universaldenker.org/physics-equations-book

@randomz5890 2 жыл бұрын

Such a clear explanation of very opaque mathematics. Great video!

@fufaev-alexander 2 жыл бұрын

Thank you! #### Become a channel member 🏆 #### As a channel member you have many cool benefits: * Badge next to your name * Unique channel emojis * Your vote counts 10x! * and much more kzfaq.infojoin ############### Of course, I would also appreciate a small donation: tinyurl.com/denker-donate -------- Top supporters appear here: universaldenker.org/hall-of-fame

@helmutalexanderrubiowilson6835 Жыл бұрын

You are underrated!!! Fantastic channel

@AJ-et3vf 2 жыл бұрын

Great video as usual! Thank you!

@fufaev-alexander 2 жыл бұрын

Thank you!

@sergiolucas38 2 жыл бұрын

Amazing video, thank you :)

@fufaev-alexander 2 жыл бұрын

Thank you! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@nvnrmchl 2 жыл бұрын

Do metal organic frameworks next! It’s an emerging field

@fufaev-alexander 2 жыл бұрын

That sounds interesting, but I don't know anything about it! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@teikono Жыл бұрын

Lovely explanation 👍

@fufaev-alexander Жыл бұрын

Thank you 🙂

@thisisrr1 Жыл бұрын

Great stuff

@fufaev-alexander Жыл бұрын

Thank you!!

@arpg3910 2 жыл бұрын

Excellent video, as always. About the delta dirac's completeness relation expression, where did it come from tho? And how should one interpret that formula?

@fufaev-alexander 2 жыл бұрын

Check out my lesson: en.universaldenker.org/lessons/1375 under the title "Property #2: Fourier basis is complete" Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@chrstfer2452 Жыл бұрын

What makes that a "much better" notation than sigma, just because it's not a greek letter? One downside is that ive no idea how i'd quickly enter that in latex without defining a macro for it. Also, it makes other series-type operations *more* complicated to typeset (for instance, the union of indexed sets operator seems to me would just become the same operator but with a box around it). If you want to stop using sigma, einstein notation is better imo, this new boxed plus thing is like solving a nonproblem

@chrstfer2452 Жыл бұрын

And then you use it as an integral synonym too? Idk man, i think i just disagree

@fredthechamp3475 Жыл бұрын

I agree with you on his use of the "sigma" notation. He makes such a weird assertion.

@youtubepooppismo5284 8 ай бұрын

I guess because you can put any commutative binary operator inside, without having Sigma, Pi, Union, Intersection, Iterated logical AND and OR (whatever they're called) and others that i've never seen

@davethesid8960 8 ай бұрын

And it looks a lot like direct sum notation, only it's a box not a circle.

@xfcisco Жыл бұрын

Best maths channel no cap

@fufaev-alexander Жыл бұрын

Oh thank you xfcisco!

@raven5165 2 жыл бұрын

I think you can also approxiamate function definately by Taylor series too if it is infinitely differentiable and converges

@fufaev-alexander 2 жыл бұрын

yes, you are right! Unfortunately, not every function is "well behaved". :D Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin

@rktiwa Жыл бұрын

This is different way of explaining it. I hope if I watch it a couple of times may be I get it. So far I haven't been able to understand how it works through other videos dealing with this. Let me tell you though you are a class in yourself.

@AlvaroALorite 2 жыл бұрын

1:26 where did that New notation for summation come from?

@fufaev-alexander 2 жыл бұрын

Let's put it this way: this is my personal, thought-out notation. Maybe it will become accepted at some point. 😁😄 I like this notation, because you can write other operations into the square, too, not only plus sign (for summation)

@AlvaroALorite 2 жыл бұрын

@@fufaev-alexander i like it to!

@fufaev-alexander 2 жыл бұрын

@@AlvaroALorite thank you 😇

@schebbi 2 жыл бұрын

Find das video sogar besser als das 3blue1Brown video zum thema, viel weniger abstrakt!

@fufaev-alexander 2 жыл бұрын

Danke dir! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzfaq.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzfaq.infojoin