I remember never really “getting” mobius transformations when I took complex analysis. I could perform the mathematics, but what, really, was I doing?
This elegant video (thanks to Karen for the link) reveals the Mobius transformations in a way that is so simple and elegant, it is truly remarkable. I will show it to my intermediate algebra class when we get to complex numbers simply because it is an application of complex numbers that they can at least see visually.
You’ll probably want to make the video full screen, and there is nice music to accompany the text and transformations, so turn up your volume! Follow the link to the Science Friday file and scroll down to the Mobius Transformations Revealed.
If you visit the website where Arnold and Rogness host this video, they have a downloadable version, in case your classroom does not have Internet.
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