0) Outlines of the lectures (from the web http://www.unifi.it/detmod).
1) M. Marini "Metodi Matematici per lo studio delle reti elettriche", Ed. Cedam, 1999.
2) G.C. Barozzi "Matematica per l'Ingegneria dell'Informazione", Ed. Zanichelli 2001.
3) A.N.Kolmogorov-S.V.Fomin "Elementi di teoria delle funzioni e di analisi reale", Ed. Mir ,1980.
4) L.Amerio "Analisi Matematica: Metodi Matematici e Applicazioni" , Vol.3-II, Ed. UTET, 1992.
5) G. Gilardi " Analisi tre", Mc Graw-Hill, 1995
6) M. Codegone "Metodi Matematici per l'Ingegneria", Ed. Zanichelli, 1995.
Learning Objectives
To present some mathematical aspects which are useful in Electronics
and Telecommunication Engineering
Prerequisites
Basic notions from Advanced Calculus, Differential Equations and Complex Analysis
Teaching Methods
The course consists in some lectures (48 hours). Two intermediate
verification tests are planned
Further information
Some exercises are distribuited or assigned. The outline of the lectures
are posted in real time on the web at http://www.unifi.it/detmod
Type of Assessment
There are two possibilities for passing the examination: either to get
through two intermediate tests or to get through the final test. In the second case,
an oral test is also required.
Course program
Norm, inner product. Orthonormal basis. The spaces L^1, L^2. The Fourier transform. The Plancherel theorem. The complex inversion formula for the Laplace and Fourier transform. the rational case. The Gamma function. Bessel functions. Properties. Recurrence formulas. Series of Bessel functions. The space of distributions. Regular distributions. The delta distribution and properties. Operations with distributions. series of distributions. The Fourier and Laplace transform of distributions.