This four volume set contains almost all of the scientific papers of Sir Michael James Lighthill. One of the most distinguished scientists of the twentieth century and probably the central figure in many aspects of fluid mechanics, Lighthill's contributions to science include the initiationof the science of aerodynamic sound generation as well as historic work on shock waves, transonic aerodynamics, nonlinear physics, fluid dynamics, and the locomotion of fish, dolphins, and birds. Each volume is divided into sections which unify Lighthill's papers in chronological order under individual themes. The research studies included are classic examples of applied mathematical research, each characterized by a process of three equally important steps: problem formulation based onempiricism or observation, problem solution, and empirical verification, or solution interpretation in relation to the physical phenomena under consideration. Applied mathematics is a two-way bridge between mathematics and science and technology and is inherently interdisciplinary. These volumesbear out this thesis.