Mathematically, these are three distinct, although related beasts.(adsbygoogle = window.adsbygoogle || []).push({});

Laplace transform (function f(x) defined from 0 to inf) integral of f(x)e^{-xt}, defined for t>=0.

Fourier transform (function f(x) defined from -inf to inf) integral of f(x)e^{-itx}defined for all real t.

Complex Fourier series (function f(x) defined on finite interval - simplify by making it (0,1)) Coeficients (c_{n}) are given by integral of f(x)e^{-2(pi)inx}, where n ranges over all integers. The series terms are c_{n}e^{2(pi)nx}

Real Fourier series use sin and cos instead of exp function.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The difference between Fourier Series, Fourier Transform and Laplace Transform

**Physics Forums | Science Articles, Homework Help, Discussion**