Mathematical methods in physics

A.y. 2018/2019
7
Max ECTS
60
Overall hours
SSD
FIS/02
Language
Italian
Learning objectives
Il corso ha carattere introduttivo e mira a fornire conoscenze
di base di metodo e rigore matematico, tecniche utili e
qualche applicazione negli ambiti: Analisi complessa, Spazi
di Hilbert e Operatori Lineari, Serie e Integrali di Fourier e
Laplace, Distribuzioni.
Expected learning outcomes
Undefined
Course syllabus and organization

CORSO A

Responsible
Lesson period
Second semester
Course syllabus
Complex functions: holomorphic functions, complex
integration, index function, Cauchy theorems, power series
and Laurent series, Residue theorem. Conformal maps.
Hilbert spaces, orthonormal basis, elements of theory of
bounded and unbounded linear operators.
Fourier series (point and norm convergence)
Space S of rapid decreasing functions, and space S' of
tempered distributions.
Fourier transfor in S,S',L_1, L_2. Inversion and convolution.
Laplace transform.
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours

CORSO B

Lesson period
Second semester
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Professor: Raciti Mario

CORSO C

Responsible
Lesson period
Second semester
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Professor: Zaccone Alessio
Professor(s)
Reception:
Please contact me by email