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Prof. Dr. Dirk Schieborn

Lecture Mathematics 2 for Industrial Engineering · Reutlingen University

Fourier · Episode 4

The recipe

Fourier · Episode 4

The recipe

Prof. Dr. Dirk Schieborn

Lecture Mathematics 2 for Industrial Engineering · Reutlingen University

The recipe for every overtone: multiply by sin(nx), integrate over one period, divide by π. For the sawtooth the result is −2/n.

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Chapter 1 · The recipe

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Series · Episode 4 of 7

The recipe

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

NewOct 16, 2026 · 1 chapter

How loud is the n-th overtone of the sawtooth? Term by term, only one frequency survives. The recipe: multiply, integrate, divide by π.

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