Applications of Fourier Series
Fourier Series has many applications in mathematical analysis it is one of the most important series that is used to find the expansion of the periodic function in a closed interval. Some of its application are,
- Fourier Series is used to solved various functions and find its integral and differential.
- Fourier Series is used in 3-D Graph Modelling
- Fourier series is used to draw graph of various functions.
- Fourier series is used in study of Complex function in Statistics, Astronomy, Biology and others, etc.
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Fourier Series Formula
Fourier Series is a sum of sine and cosine waves that represents a periodic function. Each wave in the sum, or harmonic, has a frequency that is an integral multiple of the periodic function’s fundamental frequency. Harmonic analysis may be used to identify the phase and amplitude of each harmonic. A Fourier series might have an unlimited number of harmonics. Summing some, but not all, of the harmonics in a function’s Fourier series, yields an approximation to that function. For example, a square wave can be approximated by utilizing the first few harmonics of the Fourier series.
In this article, we will learn about Fourier Series, Fourier Series Formula, Fourier Series Examples, and others in detail.
Table of Content
- What is Fourier Series?
- Fourier Series Formulas
- Exponential form of Fourier Series
- Conditions for Fourier series
- Applications of Fourier Series
- Solved Examples
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