structural:expansion, stylistic:tone
Comparison with Fourier series

The trigonometric Fourier series enables one to express a periodic function (or a function defined on a closed interval) as an infinite sum of trigonometric functions (sines and cosines). In this sense, the Fourier series is analogous to Taylor series, since the latter allows one to express a function as an infinite sum of powers. Nevertheless, the two series differ from each other in several relevant issues: