is uniform). Finally, in practice one wants to approximate the function with a finite number of terms, say with a Taylor polynomial or a partial sum of the trigonometric series, respectively. In the case of the Taylor series the error is very small in a neighbourhood of the point where it is computed, while it may be very large at a distant point. In the case of the Fourier series the error is distributed along the domain of the function. See also Asymptotic expansion Generating function Laurent series Madhava series Newton's divided difference interpolation Padé approximant Puiseux series Shift operator Notes References </p> External links Real analysis Complex analysis Series expansions