Jake Lishman • 11/26/2020

Generalised Fourier Series, Part 3: Comparing Series Expansions

This article, part 3 of a series on generalized Fourier series, compares the performance of Fourier, Fourier-Legendre, and Taylor series expansions using a Jupyter notebook for interactive plotting. It examines how each series approximates different functions (like a 12th-degree polynomial) with few terms, discussing their relative accuracy, strengths, weaknesses, and ideal use cases for physics and mathematics students.

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#Legendre Polynomials #Fourier Series #Series Expansion