Your Daily Equation #16: Fourier Series -- The "atoms" of Math
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- čas přidán 20. 04. 2020
- Episode 16 #YourDailyEquation: Much as matter, however complicated, can be decomposed into combinations of atoms, mathematical functions, however complicated, can be decomposed into combinations of simpler functions--sines and cosines. In this episode of Your Daily Equation, Brian Greene discusses this remarkable discovery of Joseph Fourier, which has profound applications in both math and physics.
Even if your math is a bit rusty, join Brian Greene for brief and breezy discussions of pivotal equations and exciting stories of nature and numbers that will allow you to see the universe in a new way.
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Dear Professor, attending your daily home lecture NOW is like eating ice cream in hot summer or doing yoga after muscle burnout. Thank you so much！
This is awesome! I've long waited to study fourier series. Learning it from Dr.Greene is like dream come true. Thank you professor!
Thank you for taking the time to teach us every day, it's a real pleasure learning from you.
listening to the genius teaches us some trivial stuff is really fun
I love these so much. As an undergraduate physics student this is so useful and fun series. thanks professor!!
Simplest introduction to fourier series👍 plz talk more about fourier transform
It's really insperiable seeing your videos.Explanation is really good
This series is worth thousands of dollars because it gives you insight and perspective. Most of the educational systems does not do that.
Thank you for discussing the Fourier series. While the Fourier series handles regular periodic functions, they're limited in their ability to handle more complex, irregular waveforms, such as a heartbeat. The logical sequel to discussing Fourier series and Fourier transforms is Wavelets. I hope you can segue into an episode on Wavelets
Thank you Professor Greene!
Yet another amazing video. Thanks!
Thank you very much for your help and clear guidance
This is most likely the best explanation of any math topic I have ever seen!
Very nicely explained.
Great explanation! Made understandable to everyone.
Thank you!
Love it, thanks
Gave me goosebumps
I'm so excited to attend the class
I've been loving these videos and look forward to them every day. I am curious as to the software / hardware you are using. You are obviously using a large iPad as a graphics tablet, what app are you using on the iPad, and what on the desktop? I'm thinking something similar would make my life so much easier (drawing with a mouse is difficult), but I'd need a PC equivalent as my employer is all PC and not willing to pay the Apple prices.
Good series....!.....
12:16 I studied sophomore physics under Dr Krishna Kumar (long ago) and he wielded the chalk (way before white boards) in his right hand and the eraser in his left. The phrase that I most hated to hear from him was "and immediately we see that". I would spend the rest of the class just trying to write as fast as he did copying everything he wrote on the blackboard. After a couple of hours with my notes and the text book that evening, I would finally figure out what was "immediate" to him. He was brilliant. Me, not so much. I was privileged to take a class with him. Very frustrated, but privileged! Sometimes, I had to take a problem that I couldn't solve to my other physics professors for help because Dr Kumar would look at my work and say "you have it right there. You just need to finish it." when I couldn't even see what the next step was. He just couldn't fathom why I was unable to finish the problem.
Just thank you.
Dr. Greene, I enjoy your videos very much. Maybe sometime you could present one on the normal probability distribution and the normal equation.
Your student are very lucky, brilliant professor
Thanks a lot sir.
Thanks a lot sir
thanks a lot, and yes, please explain the Fourier and Heisenberg principle, it is the best form to understand it.
So freaking good.
Fantastic explanation. Fourier has amazing applications, also e.g. wave to mp3
OMG I think that i must seriously review my calculus classes from 40 years ago before I can really grasp this.
Thank you. Post one on Bessel's function, please.
Inspiring episode! Thank you so much. I am amazed seeing that Heisenberg equation is a special case of Fourrier serie..... Tempted to say that Maths are discovered not invented by human mind 🤔
Also Taylor Series please. Love your channel ❤️
Professor Greene, If you're going for some mathematical physics concepts
I'd like you to do a series on special functions for example
a. Reimann zeta function
b. Beta and Gamma function
Also I'd like you to do a video 4D Minkowski space time and geometry
and also the Poincàre formulation of the same geometry.
After he finishes all that do you want him to wash and wax your car?
Dear Brian Greene, although i do not understand anything due to the insufficiency of subtitles. You share valuable information.
Thanks a lot👍
I love this as much as 3blue1brown, but it's also daily!
Brian, next videos , could u explain about laplace or fourier transform.... ?
Yay yay yay yay!
But are there other (orthogonal) functions that are used nowadays, besides sines and cosines? I think I read once about a function that varied in scale, that is used (in computer graphics?).
Hi professor, could you give us a glimpse into Hamilton's insights that led to his discovery of quaternions?
In professor Green's televised presentations discussing string theory, different models proposed 10, or perhaps 11 dimensions exist. Since one of the dimensions is time. it suggests we only 'see' one of either 3 or 3.3 Cartesian dimensions in each of the 'X', 'Y', and 'Z' coordinates. It would be profound if the true answer was in between, namely: 'PI'. However, this might suggest that a Cartesian system is ill suited as the framework for modeling string theory.
Hello, does anyone know what the name of the slate apple you are using is called? thanks. sorry for my English
Fourier series was also used by Andrew Wiles to prove Fermat's Last Theorem
a^n + b^n not equal to c^n for n>2 and a, b and c are integers greater than zero
professor greene plz make an episode about heisenberg's uncertainty principle
Good idea....will do so today.
Thanks so much for all. The only minor problem here is that the "square wave" is not a function !
Hi dr Greene, how about making this series into a book?
Pls explain me uncertainity principle, I am thinking of it a lot but not reaching a result.
This is so good I am already feeling slightly concerned somebody might find a vaccine.
What is your take on the idea that subatomic particles could be made of smaller living creatures. Like the strings are small worm like creatures swimming in a cosmic ocean¿
What happen if we will ever find out the theory of EVERYTHING ? Is this the end of the journey of physics !!!!
And I am studying in 2nd year (physics).If you give me some advice about how to do research it will be very helpful to me. I am your huge fan .Love from INDIA.
Thank you
I’d forgotten about this fir a very kong time. It caused me think of something else. What would the physical world resemble if pi were an integer?
Interesting question. But I am missing where you may be trying to head with this. I'm stuck on the implication that the relationship between a circle's diameter and its circumference would be '3' and that the inscribed area, volume and higher dimensional equivalents would shrink.
Hello Professor
A Loren Emmerich production was here
Why don't we use some Fourier analysis on our relationship and reduce to a series of simple periodic functions.
Where is a0 came from?
"...and now, as we all know..." Me? Not so much! But I'm learning. :)
I don't receive any notification that you are live😠😠😞
By the end of this class we will all learn how to build our own smart phone.
Why the sum of all natural number up to infinity is -1/12
Not really an accurate statement, or formulation. Divergent series can through various methods be renormalized to some converegent value. It goes quite deep into analysis and the notions of sums and integration etc
No that's not the case
You can't add some positive numbers and think of getting a negative
That's the result we get from a concept called the Analytic Continuation , Reimann zeta function.
That’s been proven several different ways.
Because alternating series can be cleverly manipulated.
Einstein imagined riding on a greene light-wave.
What if f(x) is an odd function, then definite integral from -L to L will always be 0.
OMG, don't you see that? Then only b(n) are non-zero.
😎
What app is he using on his ipad?
I've been wondering since ep 7
Zohaib Ali inform me if u find it out
I think it’s notability
@@vogelbachenjoyer6545 it's not, i think. Let me know if you find out, please.
Navier stokes equation
Einstein’s field equation
Sum of all natural numbers= -1/12
The number you are looking for is smaller than something but larger than nothing, is infinite, is not measurable as to location and momentum is Space-Time, actually exists and not exist at the same time, in Space.
Two questions. Why is the boxing glove so close to the television? Why is there only one?
Baseball glove...only one as need the other hand to throw...why so close to TV? Entropy.
profesor talk to us some thing about dark matter abd dark energy.... which make upto more than 90 % of universe
Hear tube, then you'll know