The phenomena of shock motion, including propagation, diffraction, reflection, refraction and interaction of shock waves, can be studied by theoretical analysis, experimental methods and numerical calculations. Although emphasis is placed on the detailed flow pattern obtained by experimental or computational research solving the Euler or Navier-Stokes equation, shock wave formation can usefully be analysed by theoretical methods. This book introduces the shock dynamic method and explains the underlying concepts, then progresses to a systematic description of the methods, equations and applications of shock dynamics. The book broadly follows the two main categories of shock; that propagating into a quiescent gas, and that into a moving gas, including shock propagating through a non-uniform disturbed flow field. The book consists of three parts: Part I (Chapters 1-4) describes the equations and applications of shock dynamics for quiescent uniform and non-uniform gas ahead of shock. Part II (Chapter 5-7) then describes the application of the equations for uniform and non-uniform flows ahead of shock. Part III (Chapters 8-10) introduces Mach reflection of shock for steady, pseudo-steady and unsteady flow; shock refraction at gas interface and the interaction between two shocks. For mechanical and aerospace engineers, applied mathematicians.