While Taylor series can often be used to provide good local approximations of functions, this other basic technique is better suited to global approximations.
While Taylor series can often be used to provide good local approximations of functions, this other basic technique is better suited to global approximations. Instead of the Taylor series' use of an infinite sum of polynomials with coefficients given by derivatives, this method uses sums of trigonometric functions with coefficients determined by integrals involving the original function. FTP, name the method, which is named for a 17th and 18th century Frenchman.
While Taylor series can often be used to provide good local approximations of functions, this other basic technique is better suited to global approximations.
{Fourier Series}