Coursebooks

Analysis IV

MATH-205

Lecturer(s) :

Colombo Maria

Language:

English

Summary

To learn basic tools of Lebsgue integral and Fourier analysis.

Content

Lebesgue integral
- Measurable sets and functions
- Lebesgue integral
- Monotone and dominated convergence theorems.
- Lp spaces

 

Fourier Analysis
- Fourier series
- Brief introduction to Fourier transform
- Applications to partial differential equations

 

Learning Prerequisites

Recommended courses

Analysis I, II and III

Teaching methods

Ex cathedra lectures and exercises

Assessment methods

Written exam

Resources

Ressources en bibliothèque

• Cours d'analyse III / Chatterji

Prerequisite for

Second cycle of mathematics