Honestly, I don't know why this channel doesn't have a ton more subscriptors. Maybe it doesn't aspire to have millions, because of its kind of content, but given the superb quality, I'd expect more. Great job. Keep it up!
Great explanations! My background is not electrical engineering, so I never had formal training in Fourier analysis. I have many times tried to learn it myself, but textbooks and tutorials on the internet seem to unecessarily overcomplicate the matter. Your approach is very didatic.
after a semester in leaning Fourier & Laplace transform this video is simply a breeze! Thank you for confirming my knowledge and for sharing your infos!
man you're the best, i like the longer videos though, except i am pausing them and reversing them often on some things because I'm not nearly as fluent in the language of math and such as you are. You might be contributing to something big in mathematics without knowing it by providing these free lessons, thanks!
I found that some people confuse about the 2/L terms or the norm squared of sine, cosine vector. Here's the explanation (for cosine): - The norm of the cosine vector would be a vector of infinitely number of elements in range of [-1, 1] which value is calculated by cos(2*pi*k*x/L) for x from 0 to L - So taking the norm squared of this vector is equivalent to taking the integral of cos^2(2*pi*k*x/L) over 0 and L => It's L/2. I don't know how to show the math here - We have to divided by the norm squared, so the term would be 2/L The same for the case of sine. Hope this helps
Really excellent content. I am taking an independent study course, and was struggling to teach myself with the Dym & McKean Fourier series textbook. Your videos are far more intuitive.
Why do we divide by the square of the norm of the basis functions cos and sin rather than their norms? As far as I recall a unit vector is x/sqrt(norm(x))? Thank you for the excellent lecture ... series.
i think it is because the integral from the last lecture was defined on -pi, pi, therefore defining it from -L,L. the 2 coefficient probably comes from the fact that the function period was defined on 0,L, therefore halving the period and doubling the frequency. i could be wrong, this is just my hypothesis. hope that helps.
I have very limited knwoledge in mathematics and if someone can please explainme please how the coeficient Ax is integrated because the function fx depends on that coeficient so how it can be integerd
Worst video on fourier series ive seen so far! It is UNBELIEVABLE how people just pull things out of the fkn ether and go voila! Without the slightest explanation of where things come from, what they mean etc... the educational system is soooo flawed. This is NOT how you learn maths or anything for that matter!
Honestly, I don't know why this channel doesn't have a ton more subscriptors. Maybe it doesn't aspire to have millions, because of its kind of content, but given the superb quality, I'd expect more.
Great job. Keep it up!
absolutely superb.
maybe don't all of youtubers are understanding such level of mathematics... (or not interested in it)
Great explanations! My background is not electrical engineering, so I never had formal training in Fourier analysis. I have many times tried to learn it myself, but textbooks and tutorials on the internet seem to unecessarily overcomplicate the matter. Your approach is very didatic.
after a semester in leaning Fourier & Laplace transform this video is simply a breeze! Thank you for confirming my knowledge and for sharing your infos!
Best discussion on Fourier series I've seen to date
Your channel is easily as impressive as 3blue1brown, I expect it to eventually blow up in popularity! Keep up the good work
man you're the best, i like the longer videos though, except i am pausing them and reversing them often on some things because I'm not nearly as fluent in the language of math and such as you are. You might be contributing to something big in mathematics without knowing it by providing these free lessons, thanks!
Steve that was great lecture, thanks!
Excellent lectures and excellent lecturer!! 10 out of 10.
Thanks for this amazing lecture series. At 03:46 it is mentioned that the norm square is '2 over L', I think is will be 'L over 2'.
I found that some people confuse about the 2/L terms or the norm squared of sine, cosine vector. Here's the explanation (for cosine):
- The norm of the cosine vector would be a vector of infinitely number of elements in range of [-1, 1] which value is calculated by cos(2*pi*k*x/L) for x from 0 to L
- So taking the norm squared of this vector is equivalent to taking the integral of cos^2(2*pi*k*x/L) over 0 and L => It's L/2. I don't know how to show the math here
- We have to divided by the norm squared, so the term would be 2/L
The same for the case of sine. Hope this helps
Thanks mate
Really excellent content. I am taking an independent study course, and was struggling to teach myself with the Dym & McKean Fourier series textbook. Your videos are far more intuitive.
I can watch this all day!!!!
Wow! This series of videos is simply amazing, keep up the great work Sir.
Thank you very much for sharing your knowledge.
Thank you prof. Steve
Why do we divide by the square of the norm of the basis functions cos and sin rather than their norms? As far as I recall a unit vector is x/sqrt(norm(x))?
Thank you for the excellent lecture ... series.
math on demand, love this!
I wish I had you as my Professor in High school. But why bother, I found out this channel now
Same , brother this channel is a great treasure.
Kundly provide insight on Bessel function
It would be helpful
Thank you soo Much!
any tips / recommendations for peoplethat don't quite get this?
When is sampling and interpolation? Great video btw.
Thank you for the nice videos. Minor error: f is element of L2, not f(x).
Great job
great video! btw, as to the periodic part -- how to deal with cases when f(0) != f(L)?
In that case there will be leakage in FFT, to deal with it 'window' is used, for example Hanning, Exponential etc.
Does it mean that i have finished an entire lecture if I have watched all the videos, anyway good tutorials
Like, on some level I get that the 2 comes from 2π, but in the k=0 term, why must A sub zero be scaled this way?
nice lecture
Soooo good
Where does the coefficient of 2 come from? In the last lecture it only showed up for k=0.
i think it is because the integral from the last lecture was defined on -pi, pi, therefore defining it from -L,L. the 2 coefficient probably comes from the fact that the function period was defined on 0,L, therefore halving the period and doubling the frequency. i could be wrong, this is just my hypothesis. hope that helps.
I ' m a little confused.....but I'm staying with it ! 😮 😊
I have very limited knwoledge in mathematics and if someone can please explainme please how the coeficient Ax is integrated because the function fx depends on that coeficient so how it can be integerd
absolutely honey gem
hows he writting backwords?
he's writing on glass and the software corrects the orientation.
Worst video on fourier series ive seen so far! It is UNBELIEVABLE how people just pull things out of the fkn ether and go voila! Without the slightest explanation of where things come from, what they mean etc... the educational system is soooo flawed. This is NOT how you learn maths or anything for that matter!