Half-Period Fourier Series
In modeling some physical problems we may only need to consider a function f(x)
that is defined on [0, T]. We do not need f to be periodic, because we are only
interested in x values from 0 to T. In order to calculate a Fourier series,
however, we need to extend the function to [-T, T]. This can be done using even
or odd periodic extensions, as described earlier (review this section now, if
necessary).
Up to Fourier Series
Fourier Sine Series