| Abstract: |
Periodic functions are often presented in problems regarding various applications. The idea of expressing the functions needed in the applications in terms of simple periodic functions, such as the sine and cosine, is of great importance in their study, for the solution of various forms of differential equations, approximation problems, etc. It is proved in mathematics that in the case of periodic functions, the approximation with the sine and cosine functions is the best, that is, any other approximation will give a greater error than these. The study of this approximation was started by Fourier and continues today, giving accurate solutions to many problems in the above cases.
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