The Origin of The Basic Formula of The Fourier Series
DOI:
https://doi.org/10.21512/emacsjournal.v5i1.9398Keywords:
Fourier Series, Elementary Linear Algebra, Best Approximation, Least Squares MethodAbstract
This paper discusses the Origin of the Basic Formula for the Fourier Series
f(t)=a0/2+∑∞k=1 [ak cos(kπt/L)+bk sin(kπt/L) ]
To obtain this model, the author derives the basic formula for the Fourier Series from Elementary Linear Algebra. In this derivation, we use the best approximation: least squares method whose details will be elaborated in this paper until we obtain the formula for the Fourier Series.
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