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Prof. Dr. Dirk Schieborn

Lecture Mathematics 2 for Industrial Engineering · Reutlingen University

Fourier · Episode 6

Where the series stumbles

Fourier · Episode 6

Where the series stumbles

Prof. Dr. Dirk Schieborn

Lecture Mathematics 2 for Industrial Engineering · Reutlingen University

At the jump, the Fourier series hits exactly the middle. Next to it, it overshoots: with more terms the spike gets narrower, but never lower than almost 9 percent of the jump.

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Chapter 1 · Where the series stumbles

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Series · Episode 6 of 7

Where the series stumbles

Prof. Dr. Dirk SchiebornLecture Mathematics 2 for Industrial Engineering · Reutlingen University

NewOct 16, 2026 · 1 chapter

At a jump the Fourier series hits exactly the middle and overshoots next to it. More terms make the spike narrower, but not lower: the Gibbs phenomenon.

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