Generalised Fourier Series
Read OriginalThe article discusses the mathematical concept of generalized Fourier series expansions, explaining how any orthogonal basis of functions (like Legendre polynomials) can be used to approximate a function. It compares this to Taylor and Fourier series, provides a physics teaching context, and includes a link to a practical Jupyter notebook for experimentation. The content is technical and educational, focusing on mathematical methods relevant to computational science and physics.
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