FOURIER SERIES AND THEIR APPLICATIONS
Keywords:
Fourier series, trigonometric series, Fourier coefficients, Dirichlet integral, periodic function.Abstract
This article examines Fourier series, their definition, and key properties. Fourier series are an essential part of mathematical analysis, aiming to represent periodic functions as an infinite sum of sine and cosine functions. This method is widely applied solving partial differential equations, signal processing, and various engineering fields. Additionally, the article explores the convergence conditions of Fourier series and Dirichlet’s integral.
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