This interactive electronic textbook, comprising an overview and six chapters, in the form of a worksheet for symbolic mathematics with Maple software presents an introduction to Fourier transformation and its applications in chemistry. After a concise outline of the principles of Fourier transformation and related topics, the treated applications include electron diffraction of a gaseous sample, xray diffraction of crystalline and powder samples, microwave spectra of a gaseous sample, mid-infrared and Raman spectra of a liquid sample and nuclear-magnetic-resonance spectra of liquid samples. In each application, simulations are generated to demonstrate the physical principles and practical applications to determine the molecular structure or structural aspects of exemplary substances.