Work

Application of the Fourier Series

Year: 2026

Type: article

Abstract: This article discusses the fundamental concepts of Fourier series theory, its mathematical formulation, and practical applications. It is shown that periodic functions can be represented as a sum of sine and cosine functions. The paper analyzes the methods for determining Fourier coefficients, the convergence conditions of the series, and its applications in physics and engineering. The results highlight the significant role of Fourier series in mathematical analysis, signal processing, and the study of oscillatory processes.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.19972953

Author: Jamalov, Madamin Habibulla ugli

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7159810885

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