20410609 - AM300 - Mathematical analysis 5

To acquire a good basic knowledge of the Lebesgue integration theory in R^n, of the Fourier theory and of the fundamental results in the study of ordinary differential equations.

Curriculum

scheda docente | materiale didattico

Programma

Lebesgue integration in Rn, Fourier transform, theory of differential equations

Testi Adottati

Luigi Chierchia, Analisi matematica due
Reed-Simon

Bibliografia Di Riferimento

Rudin: real and complex analysis Terence Tao: An Introduction to Measure Theory Paolo Aquistapace: Analisi 2

Modalità Erogazione

lectures and exercise session

Modalità Frequenza

Class lectures

Modalità Valutazione

The written test consists in carrying out exercises on the topics discussed in class. In the oral test the knowledge of the proposed material is verified. For the measure theory part, exercises will be assigned to be done at home and handed in.

scheda docente | materiale didattico

Mutuazione: 20410609 AM300 - ANALISI MATEMATICA 5 in Matematica L-35 PROCESI MICHELA

Programma

Lebesgue integration in Rn, Fourier transform, theory of differential equations

Testi Adottati

Luigi Chierchia, Analisi matematica due
Reed-Simon

Bibliografia Di Riferimento

Rudin: real and complex analysis Terence Tao: An Introduction to Measure Theory Paolo Aquistapace: Analisi 2

Modalità Erogazione

lectures and exercise session

Modalità Frequenza

Class lectures

Modalità Valutazione

The written test consists in carrying out exercises on the topics discussed in class. In the oral test the knowledge of the proposed material is verified. For the measure theory part, exercises will be assigned to be done at home and handed in.