This volume deals with problems relating to the interaction of shock waves, with an emphasis on their diffraction. The contents are divided into nine chapters, dealing with the reflection of shock waves, the diffraction of normal and oblique shock waves, including the effects of yawed wedges, shock interaction with a moving aerofoil and arbitrary flat surfaces. The book covers in detail the experimental and theoretical approaches to the subject which have been found fruitful, and presents an authoritative account of the present status of reseach. It is suitable for research mathematicians and engineers whose work involves fluid mechanics, aerodynamics, and compressible flow.