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This book describes an engineering approach based on interactive boundary-layer and stability-transition theories, both developed by the author, for calculating aerodynamic flows. The contents include two-dimensional and three-dimensional steady and unsteady flows with and without compressibility effects. The former theory is based on the numerical solutions of the reduced Navier-Stokes equations in which Euler and boundary-layer equations are coupled with an interaction law. The latter theory is based on the linear stability theory and employs the so-called en method. The book details applications of this approach to airfoils, wings and high lift systems. It is intended for undergraduate and graduate students and practicing engineers interested in aerodynamics, hydrodynamics and modern numerical methods and computer programs for solving linear and nonlinear ordinary and parabolic partial differential equations. TOC:Interactive Boundary-Layer Approach for Airfoils.- Two-Dimensional Incompressible Flows: Inviscid Method.- Two-Dimensional Incompressible Flows: Boundary-Layer Method.- Two-Dimensional Incompressible Flows: Inviscid Method.- Applications of the Calculation Method: Airfoils in Incompressible Flows.- Two-Dimensional Compressible Flows.- Two-Dimensional Incompressible Unsteady Flows: Inviscid Method.- Two-Dimensional Unsteady Incompressible Flows: Boundary-Layer Method.- Application of the Calculation Method: Airfoils in Incompressible Unsteady Flow.- Three-Dimensional Incompressible Flows: Inviscid Method.- Three-Dimensional Flows: Boundary-Layer Method.- Three-Dimensional Flows: Transition Method.- Applications of the Calculation Method to Three-Dimensional Subsonic and Transonic Flows.