The birth of the Fourier Series

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How the Fourier Transform Works, Lecture 1 (Part 3) - The Fourier Series
Next Episode: bit.ly/3zzma1F
Course playlist: bit.ly/2WyzWD4
howthefouriertransformworks.com/
View the whole series at: • Understand the Fourier...
Before delving into the maths of the Fourier Transform, we continue with the third of three 5 minute videos on Fourier himself. After his time in Egypt, Fourier returned to France and began work on his theory of heat flow. He presented his theory in a memoir to the Paris Institute in 1807. Contained in this memoir was the beginnings of an idea which was so ahead of its time, that 200 years later it would revolutionize the way we store and communicate digital data. This idea became known as the Fourier Series.
This is the third in this series of videos which take a new and visual look at the maths behind the magic of how the Fourier Transform works. The next video will be out by 07/06/2020.
Please help me finish filming the course by supporting me on Patreon: www.patreon.com/MarkNewman
A transcript of this lecture can be downloaded from the following link:
drive.google.com/file/d/1mmE6...
Click below to subscribe to the Course's mailing list to receive an update when the next video is available, updates about the course's production, and a notification of when the full course is available to purchase.
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18 май 2020

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Комментарии : 43

@MrFrankZappa 4 года назад

Someone give this man a budget and a slot on the telly. Looking at you, BBC4. Seriously, this is up there with the big names in science documentaries.

@MarkNewmanEducation 4 года назад

Wow thank you. I just love the whole video making process.

@MrFrankZappa 4 года назад

@@MarkNewmanEducation well if this is what you and your production partner can achieve as an enjoyable hobby, I'd love to see what you could do with a budget and a bigger team. Really, channels like yours are the sole reason I'm still on youtube.

@MarkNewmanEducation 4 года назад

Thanks for the compliment. I don't have a production partner. I do all the filming, editing and production work myself. Its a labor of love, I wish I was doing this stuff full time. It's taken me 3 years to get to the point of releasing this series of 6 lectures and there is still more to do. I absolutely LOVE the video medium.

@Swimmingshiraz 4 года назад

I agree!

@xenomyr 2 года назад

I actually kind of like this quality because sometimes I tend to lose my attention on details of the video or images rather than on the main content of the explanation.

@stevedigby883 4 года назад

Thank you for these lectures. I stumbled onto your explanation of the cycle of fifths and wound up learning about Fourier, who was a very remarkable human being. I'm looking forward to the next lecture.

@MarkNewmanEducation 4 года назад

You're very welcome!

@PanduPoluan 2 года назад

Our digital lifestyle is enabled by two giants: Joseph Fourier and Claude Shannon. We owe them greatly.

@some-other-time 2 года назад

My degree is in Mathematics, and in my early work in music research, and later digital media, I've bumped into Fourier many times over the decades. I am throughly enjoying this series. Your approach (and supplemental graphical material) are very good. I'm retired three years now, and thought it'd be nostalgic to watch this series, but this series has given me a deeper understanding than I ever had when I was working with it. Thank you for doing such fine work!

@MarkNewmanEducation 2 года назад

I'm so glad did I have been able to deepen your knowledge in Fourier. His ideas were truly revolutionary. I always knew he was something special, but struggled to understand the Maths. These videos detail my own journey to understanding.

@dilex123explorations 2 года назад

Perfectly made and easily understood content,I think this is by far the best video I have seen on Fourier Transforms.thank you.

@josterlau1 4 года назад

Mark you are such a good presenter! Perfect tone of voice, loved the way you re-phrased Fourier's original definition, and your french pronunciations. Would love to listen to some of your music!

@stefang6622 4 года назад

This has enhanced my understanding considerably. Thank you.

@MarkNewmanEducation 4 года назад

You're welcome. There's more to come. The next lecture is scheduled for release by 07/06/2020.

@sergiolucas38 2 года назад

What a found on RU-vid is this channel, thanks for the very qualitative content :)

@DTPT11 3 года назад

Best videos on fourier transform. I have been searching on youtube for hours.

@DTPT11 3 года назад

As you said, always start with a question

@MarkNewmanEducation 3 года назад

Haha. Thanks. There are more videos coming. I've just released my latest video: (From Fourier Series to Fourier Transform - Part 1 to my Patreons - patreon.com/MarkNewman/) and I'm busy working on Video 8 as we speak. Yes questions.... it's the beginning of all knowledge. Think how many questions children ask. That's how they learn. If only we adults had the learning capacity of children!!

@dosgos 4 года назад

Excellent as always Mark!

@MarkNewmanEducation 4 года назад

Glad you enjoyed it

@curtpiazza1688 Год назад

I' m a musician too! This prompted my interest in this subject! Very well done! 😊

@BochiPlus 3 года назад

Excellent explanation!!! (from Argentina)

@MarkNewmanEducation 3 года назад

Thanks! 😃

@mazinnasralla2036 4 года назад

Enjoying this video series. Could you recommend an introductory text? I am particularly interested in the application of the Fourier Transform to X-Ray crystallography and neutron diffraction.

@__________hugo 27 дней назад

Thanks

@reneadrianpomies2842 3 года назад

Gracias por compartir el conocimiento y muchísimas gracias por hacerlo de manera tan sencilla.

@mathsnewdiscoveries 2 года назад

I enjoy watching this much, thank you much more.

@MarkNewmanEducation 2 года назад

Really happy you enjoyed it. I'm making more videos on Fourier. Is there anything you would like to know about the Fourier Transform, complex numbers or anything to do with Fourier's theories?

@Hector0 2 года назад

Outstanding work! Greets from Palestine

@bayho8944 4 года назад

You are excellent presenter, very talented . Thanks very much Bay

@MarkNewmanEducation 4 года назад

You are most welcome

@ohadbenshahar 3 года назад

Dear Mark, What a superb creation! Can't wait to have the second half of the course up online! Two quick questions. First, since this shows up in this episode, I suppose that (the English translation of) Fourier's 1807 memoir is available somewhere on the net, but I could not find it. Can you share a pointer? Second, I'm quite curious what tools/software you are using to create the different visualizations (Evidently, this is not just PowerPoint + video editor) Many thanks again Moadim Lesimcha (Succot 2020)

@MarkNewmanEducation 3 года назад

Thank you very much for your kind words. I absolutely LOVE making these videos, I only wish I was doing this full time so I could get the course out quicker. The video course is based on a blog I wrote a few years ago which you can view at howthefouriertransformworks.com/blog/ The blog contains the bones of the whole course from "What is Sound?" all the way to a series on how the Fast Fourier Transform works. I plan to make all these into videos in time. I'm currently working on updating the blog with some new material I've learned since before making more videos. I'm very sorry to say that I have to admit to a bit of cheating regarding the memoir. I also looked for it online and could not find it either, so I "mocked" one up. The paper you see in the video is just me playing around in photoshop. That's why the text is blurred in the mocked-up article. The animations in my videos are mostly custom made (apart from the whiteboard animations for which I use VideoScribe). I love playing around with Javascript and canvases which is how I generate many of the animations. One or two of the really complicated ones on Lecture 4 for example, I outsourced to people on Fiverr.com. מועדים לשמחה.

@p.stroker8920 3 года назад

What is the name of the track played during the credit roll?

@MarkNewmanEducation 3 года назад

www.melodyloops.com/tracks/space-engineer/

@vanessamichaels9512 Год назад

i love you

@nareshkumar4207 4 года назад

Hi why didn't you make videos for two years?

@MarkNewmanEducation 4 года назад

I have been. I just haven't been uploading them as I wanted to release the course over some logical time period. These videos take ABSOLUTELY AGES to produce especially as I'm doing them on my own in my spare time at the same time as working for a living and raising 3 small children. The 6 lectures I am releasing now have taken me 4 years of constant work. I want to be able to release them at intervals of up to two weeks. It takes me a lot longer than that to produce them.

@nareshkumar4207 4 года назад

@@MarkNewmanEducation yours videos are so much good, thanks for this extraordinary works. Thanks for your kind reply too.

@SAJAN_ECE 4 года назад

Yes Mark we know that it take lot of time and effort to make such beautiful videos. Why can't you put these videos in platforms like Udemy? You will get a nice income also!