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Research Paper | Mathematics | India | Volume 12 Issue 3, March 2023 | Popularity: 5.1 / 10

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Fourier Series Approximation of Square and Sawtooth Waves Using Python Script in Jupyter Notebook

Dr. Vivek Parkash

Abstract: Understanding Fourier series involves investigating into a branch of mathematics known as harmonic analysis, specifically focusing on representing periodic functions as the sum of sine and cosine functions with different frequencies. The relation between Fourier series and mathematics is deep - rooted and spans across various branches of mathematics, physics, engineering, and computer science. It serves as a foundational concept for understanding the representation, analysis, and synthesis of periodic and non - periodic functions, making it indispensable in both theoretical research and practical applications. Analysing square wave and sawtooth waveforms involves understanding their mathematical representations and properties. In the ongoing paper, idea is to generate and analyse these waveforms using various mathematical and numerical libraries like NumPy and Matplotlib in Python.

Keywords: Mathematics, Python, Square wave, Sawtooth wave, NumPy, Matplotlib, Fourier Series

Edition: Volume 12 Issue 3, March 2023

Pages: 1834 - 1840

DOI: https://www.doi.org/10.21275/SR23326170631

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