Films · Mathematics · Complex numbers
Prof. Dr. Dirk Schieborn
Higher Mathematics 2 · Reutlingen University
Lecture film · Higher Mathematics 2
Rotate, Mirror, Cut the Cake: Computing with Complex Numbers
Lecture film · Higher Mathematics 2
Rotate, Mirror, Cut the Cake: Computing with Complex Numbers
Prof. Dr. Dirk Schieborn
Higher Mathematics 2 · Reutlingen University
With length and angle every computation becomes a motion: dividing turns back, powers draw a little flower, and the n-th roots cut the circle into n equal slices.
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More films: Signature · Prof. Dr. Dirk Schieborn
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Rotate, Mirror, Cut the Cake: Computing with Complex Numbers
Prof. Dr. Dirk SchiebornHigher Mathematics 2 · Reutlingen UniversityAn explainer film in six chapters, made from a real lecture: why dividing turns backwards, what the twin number z̄ has to do with a² + b², how to clear a complex denominator, why powers draw a little flower, and why every complex number has exactly n n-th roots, spread evenly like slices of a cake. Pause anywhere and ask.
How a film works on heyprof
Every film here listens. Pause it, ask it questions and let it continue with your own examples.
- PauseTap pause or press the space bar. The film waits right at that moment.
- AskTap “Ask” and type what you want to know. The answer comes inside the film, with picture and voice.
- Steer itTell it what to show, for example “Do this with z = 2 − 3i”. The film sets up the app and works it out.
- Try it yourselfWhile it is paused, drag points and sliders yourself. “Continue” takes you back into the film.
Without an account: five questions per visit. With an account you can also ask by voice.
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