The 1990 CIME course on Mathematical Modelling of IndustrialProcesses set out to illustrate some advances in questionsof industrial mathematics, i.e.of the applications ofmathematics (with all its "academic" rigour) to real-lifeproblems.The papers describe the genesis of the models and illustratetheir relevant mathematical characteristics. Among thethemesdealt with are: thermally controlled crystal growth, thermal behaviour of a high-pressure gas-discharge lamp, thesessile-drop problem, etching processes, the batch-coil-annealing process, inverse problems in classical dynamics, image...