Fourier series and harmonic analysis from "summary" of Differential Calculus by S Balachandra Rao
The Fourier series is a powerful mathematical tool used to represent periodic functions as an infinite sum of sine and cosine functions. This series was developed by the French mathematician Joseph Fourier in the early 19th century. The basic idea behind the Fourier series is that any periodic function can be approximated by a sum of sine and cosine functions with different frequencies and amplitudes. By finding the appropriate coefficients for each sine and cosine term, we can accurately represent the original function. Harmonic analysis, on the other hand, deals with the study of the properties and behavior of functions...
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