5.0 credits
30.0 h + 22.5 h
2q
Teacher(s)
Willem Michel ;
Language
Français
Main themes
Metric spaces, Lebesgue integral, normed spaces, Hilbert spaces.
Aims
AA 1.1, 1.2, 1.3, 3.1, 6.1.
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Evaluation methods
Written examination : theory, exercises and partly original problems.
Teaching methods
Lectures with dialoguee, exercises. The main points are critical understanding of the theory and active problem solving.
Content
- Metric spaces, continuity, convergence.
- Cauchy integral, Lebesgue integral, multiple integrals, change of variables.
- Normed spaces, continuous linear mappings, Hilbert space, elementary spectral theorem
Bibliography
M. Willem, « Functional Analysis. Fundamentals and Applications », Birkhauser, 2013. Available on line or in bookstores.
Other information
Faculty or entity<