 last time on how the Fourier transform works. Come with me as we journey and we discover how Dirichlet turned the Fourier series into the Fourier transform. Of course this is the bit you didn't see in the lecture, the bit where I run out of green screen. Green screen isn't the only thing I'm a little short of. These lectures are a labour of love and I wish I was working on them full-time. However, I'm coming in a second kids okay? Bye! As you can see, filming online courses is not the only thing that I'm doing in life. As parents we can't just focus on our work, there are meals to prepare and with three cute little mouths to feed, I sometimes wish there was more than one of me. Perhaps then I might actually get everything done. If there's one thing I'm determined about in my courses, it's the style of the videos will be unlike anything that's currently available. Mathematical concepts are so often explained by a lecturer standing in front of a whiteboard telling it with lots of formulae. Well that's fine if you understand the language of mathematics but what if, like me, you prefer a more vision explanation of the concept? How does the style of these videos, with all their animation and virtual environments and green screens, I absolutely love the work that these lectures take ages to produce especially as I'm working on my own in my time. And then of course there's the day job. Hi! Yeah, yeah I know. I should have a circuit working by the end of the day. Yeah, great. Okay, bye. I'm an electronics engineer by profession which is how we pay the bills and this is where the idea for a course on how the Fourier transform works came from. I learned about the Fourier transform while I was at university but it was only after I'd been working with it for a few years as a qualified engineer that I actually properly began to understand how it works. This is where most of my daytime hours suspend, trying to earn enough money to support the family. Hi darling. I don't know what time I'll be home. I've got this deadline at work and I also really need to work on the course tonight. I've got to finish lecture six before the V turns five. He was too when I filmed him hiding my slippers at the beginning of the video. Yeah, sorry darling. So the only proper time I get to work on the course is late at night after everyone else has gone to bed. At least then I can work uninterrupted. The only thing is by the time I finish for the night it's often about three in the morning. This is where I need your help. In order to speed up production on the course I need the ability to work during the day and worry less about having to go out to work to support the family. There's so much more to come. We'll take a look at how the Fourier series became the Fourier transform and how we cope with the infinities inherent in the formula. We look at the different forms of the Fourier transform. Take a little foray into the world of digital signals and windowing and end up with a detailed look at how the fast Fourier transform works. If you'd like to see what I have planned for the rest of the course then take a look at my research notes on the course blog at how the Fourier transform works dot com slash blog. Please help me complete the production of the course by supporting me on Patreon. Depending on how much you pledge you can get discounts off the full course, a look behind the scenes at the making of these videos or even early access to each lecture as it's completed as well as some other surprises among the way. Whatever you feel you can give will help me devote more time to the production of the course and you'll be able to see it sooner. So join me and become part of this new and visual look at the maths behind the magic of the Fourier transform. Thank you for your support.