Films · Mathematics · Number systems and complex numbers
Prof. Dr. Dirk Schieborn
Engineering Mathematics 2 · Reutlingen University
Lecture film · Engineering Mathematics 2
From √2 to i: A Journey Through the Number Systems
Lecture film · Engineering Mathematics 2
From √2 to i: A Journey Through the Number Systems
Prof. Dr. Dirk Schieborn
Engineering Mathematics 2 · Reutlingen University
Every new number system gives a solution a home. √2 is not a fraction, the contradiction proves it. And for i we leave the line: a complex number is a point in the plane.
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More films: Signature · Prof. Dr. Dirk Schieborn
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From √2 to i: A Journey Through the Number Systems
Prof. Dr. Dirk SchiebornEngineering Mathematics 2 · Reutlingen UniversityAn explainer film in six chapters, made from a real lecture: why we keep needing new number systems, why there are still gaps between the fractions, the proof that √2 is not a fraction, and how the number i turns the number line into a plane. 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.
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- 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.
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