Part of the Wiley Series in “Pure and Applied Optics,” the 429-page book Diffraction, Fourier Optics and Imaging presents theories of diffraction, imaging and related topics based on Fourier analysis and synthesis techniques. Using an approach that focuses on the use of examples and computer simulation, the author demonstrates how these theories become the foundation of applications such as tomography, MRI, and phase contrast and scanning confocal microscopies. A chapter on computerized imaging addresses image reconstruction from projections. It discusses computed tomography along with Radon transform, which is the theoretical basis for the technique. The projection slice theorem shows how the 1-D Fourier transforms of projections are equivalent to the slices in the 2-D Fourier transform plane of the image. Okan K. Ersoy; John Wiley & Sons Inc., Hoboken, N.J., 2007; $110.