Films · Mathematics · Complex Fourier series
Prof. Dr. Dirk Schieborn
Higher Mathematics 2 · Reutlingen University
Explainer film · Higher Mathematics 2
Surprisingly Simple: The Complex Fourier Series
Explainer film · Higher Mathematics 2
Surprisingly Simple: The Complex Fourier Series
Prof. Dr. Dirk Schieborn
Higher Mathematics 2 · Reutlingen University
The complex Fourier series is the same series, just written as a single sum. Cosine and sine live on in counter-rotating pairs of pointers whose imaginary parts cancel.
heyprof.app/f/fourier-komplex
More films: Signature · Prof. Dr. Dirk Schieborn
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Surprisingly Simple: The Complex Fourier Series
Prof. Dr. Dirk SchiebornHigher Mathematics 2 · Reutlingen UniversityAn explainer film in five chapters: how a bit of formula hocus-pocus turns the real Fourier series into the complex one. Cosine and sine as the midpoint of two twins on the unit circle, the rewriting step by step, and pairs of pointers whose imaginary parts cancel. Pause anywhere and ask.
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