Fourier transform spectroscopy -- Historical sketch and crucial ideas -- Fourier analysis and interferometry -- Sample calculations of spectra from interferograms -- Apodization--mathematical filtering -- Resolution -- Sampling intervals -- Asymmetric interferometers and amplitude spectroscopy -- Beamsplitters -- Spectral filtering -- Field of view -- Phase error and sampling problems -- Procedures for choosing experimental parameters -- Sample interferograms and spectra -- Lamellar grating interferometers -- Computation techniques -- The Cooley-Tukey algorithm / Ralph W. Alexander and Robert J. Bell -- Minicomputers and real-time Fourier analysis / Ralph W. Alexander -- Commercial instruments -- Appendix A. Optical alignment of a Michelson interferometer -- Appendix B. Computer programs / Ralph W. Alexander and Harold V. Romero -- Appendix C. Mirror tilt, the cat's-eye retroreflector -- Appendix D. Rapid-scan Fourier transform spectroscopy.