The aim of the book (based on the contributions by seven partners of the European AERO-89-0026 project) is to describe methodologies and algorithms for the solution of selected optimum design problems covering optimization and inverse problems, external and internal flows, subsonic and transonic regimes, flow solvers and discretization schemes. Chapter 2 “Definition of the problems for analysis” is devoted to a detailed description of all workshop test cases. Chapter 3 “Contributions to the resolution of the workshop test cases” contains the results of the workshop participants on the indicated problems in aerospace engineering.