Examples of Fourier Series
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- เผยแพร่เมื่อ 6 ธ.ค. 2024
- MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES...
Instructor: Gilbert Strang
Even functions use only cosines and odd functions use only sines. The coefficients in the Fourier series come from integrals.
License: Creative Commons BY-NC-SA
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The function Dr. Strang picking here is just brilliant, truly a master-level teacher & mathematician.
Truly an amazing professor. I have watched my own professor's lectures, many youtube videos and sample solutions, but this professor is an actual master. Do not let the chalkboard intimidate you, he solved the few questions that I had after hours of cracking my head.
When he says "thank you" and you're all emotional like "No. Thank *YOU* !"
Fun fact: If you open up all of his videos at once he always says "Okay!". The funniest thing ever. I love this professor he is great.
I love his way to teaching, because he didn't leave questions behaind him
Thank you, Prof. Strang. I love you.
I rely heavily on your MIT open course and the book "Linear Algebra and It's Applications".
Love the geometric approach to integration with the square wave to the repeating ramp function and the computing of the average value.
Another solid lecture on Fourier Series by the legendary professor Dr. Gilbert Strang.
Old teacher, old style...superb result.
Thank you. You made it easy to understand what a four series is.
I do not who can press dislike on Dr. Strang video. I wish I had him as my professor. My life would have changed a lot, Thank you!
haces un repaso compactado,, de las series de fourier ya con el estudio de las funciones por su propia simetria bien enriquecido, muchas gracias.
बहुत आभार sir!
This man is a genius
Thank you sir! You've helped me shred my fear about fourier series and made it so simple to understand.
Very good video
thank you prof !
Okay! A long duster to match the size of the chalk piece !!!!
What can be the reason for slower decay in functions with jump or spike in comparison to that in smoother function?
Jump functions require stronger (greater amplitude) higher order frequency components in order to create and sustain the jumps.
He is very articulate.
Lovely class sir
thanks a lot,Sir
At 9:00, don't you need to ADD the constant term a0 = pi/2 (instead of multiplying it with the rest of the series)? In other words, has Gilbert forgotten to add the "plus sign" here?
He is adding it as he hasn't put any brackets there?
that minus sign is adding
2:00 Correct me if I'm wrong, but I think there's a "1" missing in the integral of sin kx, so that int(sin kx) = 1-cos(kx)/k.
he left the limits, so all calculations after made in the heads:) and your "1" is one step early. sorry.
No! It’s just -cos(kcal)/k.
Ziad Lucka actually they’re the same, the difference is a constant addition which makes no difference
He’s so cute vid bless him
The Fourier série is very hard.
Irtiza Hasan you're rude
I agree but if you understand orthogonality it will be less hard, there's many videos on that subject
I would love to touch your feet. You are next to God sir.
Hi
👍👍
.