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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 representation and dynamical systems, scintillation inrear projections screens, identification of semiconductorproperties,pattern recognition with neural networks.CONTENTS: H.K. Kuiken: Mathematical Modelling of IndustrialProcesses.- B. Forte: Inverse Problems in Mathematics forIndustry.- S. Busenberg: Case Studies in IndustrialMathematics.