The book provides a systematic presentation of the nonlinear wing theory of arbitrary shape in plan. A numerical method for calculating the flow of wings by an ideal incompressible liquid is described (MDV - discrete vortex method). Unbroken and tearing currents are considered (with known places of flow separation - on the thin edges of the wing). The results of systematic calculations are given, the reliability of which is confirmed by numerous experimental data for wings, flaps, deflected socks. Much attention is paid to the systems of load-bearing surfaces and the interaction of vortex tracks and wings . Specialists in the field of aerodynamics of aircraft, industrial aerodynamics and hydrodynamics are given the opportunity to learn the basics of vortex fluid mechanics and master effective computer technology in this field. Designed for engineering, researchers, teachers, graduate students, university students . Can be used by high school students in computer science classes.