Learning objectives
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Knowledge of mathematical methods and techniques. <br />
Tools for quantitative investigation and rigorous solution of practical problems.
Course unit content
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Functions of a complex variable, analytic functions, Cauchy theorem. Laplace transform and application to initial value problems. Dirac’s delta distribution. Fourier transform and Fourier integral, with applications. Finite Fourier transform.
Bibliography
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M.Bramanti, C.D.Pagani, S.Salsa: Matematica, Zanichelli, Bologna, 2004.<br />
M.R.Spiegel, Schaum's outline series, McGraw-Hill, New York (Complex Variables, Laplace Transforms, Fourier Analysis).<br />
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G.Spiga, Problemi Matematici della Fisica e dell'Ingegneria, Pitagora, Bologna, 1985. <br />
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