The Laplace Transform: A Generalized Fourier Transform

This video is about the Laplace Transform, a powerful generalization of the Fourier transform. It is one of the most important transformations in all of science and engineering.
@eigensteve on Twitter

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This video was produced at the University of Washington

[hashirroshinvaliyaparambil]

Your 16 minutes video on Laplace transform gave me a deep understanding in this domain thane my 4 years bachelor's degree. You are priceless Mr Steve Brunton

[윤진-ny]

I'm Korean. I do a study of Laplace transform in high school. I also studied Fourier transform but couldn't find their common points, but your help is wonderful. Thank you for your detailed lecture!!

[jonathanuis]

I'm doing my masters in control, I never really understood how Laplace works, Thanks a lot Steve, you make the concepts very understandable.
regards from Germany

[volkerblock]

Excellent representation. Almost 60 years ago I learned the Laplace transformation, now I finally (hopefully) understand it.
So, never give up, enlightenment will come at some point.
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[justin.booth.]

This is the best lighting I have EVER seen in a math lecture video. Sheer perfection!

[adityatandon]

This is probably the best explanation of the Laplace Transform that I've come across on the internet. 20 minutes did what 4 years of my bachelors degree failed to do - solidify my engineering math concepts.

[paxdriver]

This is the best video on YouTube. On the entire internet, this is the best one made. Thank you and kudos for being such a rad teacher

[TKR]

Dear professor, you do a really good job with these explanations ! Thank you

[jamen]

I thought that I grasped an intuitive understanding of the laplace transform once I recognised that it is essentially the correlation of a function with a decaying exponential oscillation, yet your presentation gave me additional insights.

[tsalVlog]

I don't know why, but I laughed really hard at "I think of it as a political Fourier transform".

[dashjinn]

You having only 186K subscribers with so many really interesting and impactful videos just says about the direction of our society so much.
I wish I had your videos during my bachelors... my love for math would have remained.. Thanks.

[mrmister]

Im starting my master in Robotics in a few months and Im binging all of your videos. You're such a great teacher and you help me to get a true understanding of the theory. Thank you for posting all of these videos. Your students are extremely lucky to have a someone who understands the theory so thoroughly and is also excellent at teaching. That's a combination most professors can only dream of!

[plamenyankov]

I am a Data Science student and I thank YouTube's algorithm for suggesting your channel to me! For what I've seen because it's mind-blowing and I plan to watch all of your content and learn it by heart! Thank you Professor, you are doing amazing and very important job!

[mikefredd]

I thought to myself, “self”, how can an
Integral that looks the same as the FT but has a reduce integration range be a more general function? But lo and behold in the most straight forward and simplified presentation you explained it! Most productive use of my time in quite awhile. Thanks and I’ll watch some more videos.

[jurepustoslemsek]

holy sh*t! I've been trying to figure out what Laplace transform actually does and you've finally explained it in a way that I understand. thank you so much!

[OkoDemona]

Steve, you're left-handed, you write on the glass so it's readable from your side and then you mirror the whole video. Your handwriting character is unexplainable otherwise.

[douglasvalerio]

I`ve been first introduced to the Laplace Transform and only later to the Fourier Transform, and never before seen this approach, this generalization makes so much more sense
Thanks for sharing this knowledge

[zwww_ee]

This is the video i came back to through my eng degree for laplace transform refresh, so concise and well explained, thank you Steve!

[krinkovakwarfare]

Not only did you broach the topic in a concise yet comprehensive way, you have written all this mirrored for our sake

Impressive 💪

[naveensd]

I wish my math prof had this good handwriting.