|
Teacher
|
MELONI DAVIDE
(syllabus)
Section I: Complex variable functions
- Complex numbers
- Analytic functions
- Integration of complex functions
- Power series
- Integration using the Residue theorem
- Asymptotic expansions
- Distributions
Section II: Vector spaces and eigenvalue problems
- Vector spaces
- Euclidean spaces
- Eigenvalue problems in N and infinite-dimensional vector spaces
- Function of a matrix
- Fourier transform
Section III: Integral and differential operators
- Integral operators and integral equations
- Sturm-Liouville operators
- First order partial differential equations
(reference books)
C. Bernardini, O. Ragnisco and P.M. Santini
Metodi matematici della Fisica, NIS 1993
B. Chabat, M. Lavrentiev
Methodes de la Theorie des fonctions d'une variable complexe, MIR 1972
A. I. Markusevic
Elementi di teoria delle funzioni analitiche, Editori Riuniti 1988
F. Bagarello
Fisica Matematica, Zanichelli, 2007
P. A. Grassi
Esercizi di metodi matematici, Casa Editrice Ambrosiana, 2018
|
Università Roma Tre