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This document discusses Fourier expansions and separation of variables in rectangular coordinates. It introduces eigenfunctions and eigenmodes that arise from solving wave equations. Fourier expansions can be used to represent periodic functions over an interval using a summation of sinusoidal terms. The eigenfunctions used in the expansion depend on the boundary conditions. Fourier expansions converge uniformly for continuous periodic functions but more slowly for discontinuous functions. Higher dimensiona

Author

Jhon

Language

EN