|SCIENTIFIC DISCIPLINARY SECTOR||MAT/04|
Conducting students to address mathematical development issues through a critically acclaimed understanding in a personal way.
Teaching style: In presence
Foundations of analysis
Problems related to the concepts of convergence and continuity
Trigonometric series and uniform convergence
Riemann's definition of integral
Dedekind's construction of real numbers
The first steps
Non-countability of R
One-to-one correspondence between R and Rn
Cardinals and ordinals
The continuum hypothesis
The axiom of choice
The antonomies of the infinite
Genesis of measure theory
The conundrum of "dimension"
Hausdorff's and Banach-Tarski's paradoxes
CLAUDIO BARTOCCI (President)
PIERRE OLIVIER MARTINETTI
NICOLA PINAMONTI (President Substitute)
The class will start according to the academic calendar.