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The 1990 CIME course on Mathematical Modelling of Industrial Processes set out to illustrate some advances in questions of industrial mathematics, i.e.of the applications of mathematics (with all its "academic" rigour) to real-life problems. The papers describe the genesis of the models and illustrate their relevant mathematical characteristics. Among the themesdealt with are: thermally controlled crystal growth, thermal behaviour of a high-pressure gas-discharge lamp, the sessile-drop problem, etching processes, the batch-coil- annealing process, inverse problems in classical dynamics, image representation and dynamical systems, scintillation in rear projections screens, identification of semiconductor properties,pattern recognition with neural networks. CONTENTS: H.K. Kuiken: Mathematical Modelling of Industrial Processes.- B. Forte: Inverse Problems in Mathematics for Industry.- S. Busenberg: Case Studies in Industrial Mathematics.
Mathematics --- Manufacturing processes --- Mathematical models. --- 51 --- 51 Mathematics --- Mathematical models --- Manufacturing processes - Mathematical models.
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Epidemiologic Methods --- Models, Theoretical --- Epidemiology --- Epidémiologie --- Mathematical models --- Modèles mathématiques --- Epidémiologie --- Modèles mathématiques --- Epidemiologic Methods. --- Models, Theoretical. --- Epidemiology - Mathematical models.
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These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems. The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM.
Mathematical models --- Mathematics --- Industrial applications --- Congresses --- Mathematics - Industrial applications - Congresses. --- Computer science—Mathematics. --- Calculus of variations. --- Numerical analysis. --- System theory. --- Probabilities. --- Thermodynamics. --- Mathematics of Computing. --- Calculus of Variations and Optimal Control; Optimization. --- Numerical Analysis. --- Systems Theory, Control. --- Probability Theory and Stochastic Processes. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Systems, Theory of --- Systems science --- Science --- Mathematical analysis --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Philosophy --- Mathematical models - Congresses.
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