Learning objectives
Aim of the course is to present some mathematical methods useful in the treatment of problems arising in Applied Sciences, and also to enlarge the knowledge of the basic calculus.
Course unit content
<p>Series of functions. Puntual and uniform convergence, power series, Fourier series and applications.</p>
<p>Fourier transform and integral. Definitions, properties, examples. Distributions, Dirac's delta. Laplace trasnsform.</p>
<p>Functions of complex variable: theorems and applications. Cauchy's theorem and formula, Laurent's and Taylor's series, Jordan's lemma </p>
Bibliography
C.D. PAGANI, S. SALSA, Analisi Matematica Vol. 2, MASSON; <br />
M. BRAMANTI, C.D. PAGANI, S. SALSA, Matematica: calcolo infinitesimale e algebra lineare, ZANICHELLI (2° ed.); <br />
L. AMERIO, Funzioni analitiche e trasformata di Laplace, POLITECNICA C. TAMBURINI; <br />
G. SPIGA, Problemi matematici della Fisica e dell'Ingegneria, PITAGORA; <br />
R.E. GREENE, S.G. KRANTZ, Function theory of one complex variable, A.M.S. (2° ed.); <br />
M. BISI, M. GROPPI, G. SPIGA, "Appunti introduttivi alle funzione complesse di una variabile complessa", Dispensa del Dip. di Matematica PARMA. <br />