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Fourier Series
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Geliefert zwischen Do., 29.01.2026 und Fr., 30.01.2026
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High Quality Content by WIKIPEDIA articles! In mathematics, a Fourier series decomposes a periodic function or periodic signal into a sum of simple oscillating functions, namely sines and cosines (or complex exponentials). The study of Fourier series is a branch of Fourier analysis. Fourier series were introduced by Joseph Fourier (1768 1830) for the purpose of solving the heat equation in a metal plate. The heat equation is a partial differential equation. Prior to Fourier's work, there was no known solution to the heat equation in a general situation, although particular solutions were known if the heat source behaved in a simple way, in particular, if the heat source was a sine or cosine wave. These simple solutions are now sometimes called eigensolutions. Fourier's idea was to model a complicated heat source as a superposition (or linear combination) of simple sine and cosine waves, and to write the solution as a superposition of the corresponding eigensolutions. This superposition or linear combination is called the Fourier series.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130348403
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786130348403
- Format Fachbuch
- Titel Fourier Series
- Herausgeber Betascript Publishing
- Anzahl Seiten 200
- Genre Mathematik
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