Real Analysis

The course aims at introducing the students to some fundamental aspects of Real Analysis, with particular reference to Lebesgue and Hilbert spaces.

Students will acquire familiarity with the basic properties of the real analysis, with particular focus on the theory of Lebesgue and Hilbert spaces. Students should be able to independently produce proofs of elementary statements (aided also by the experience obtained through homework assignments), and be able to explain rigorously the theoretical knowledge and computational aspects learned from the lectures and assigned problems. Moreover they will improve their skills to work in small groups of fellow students.