| CODE | 35288 |
|---|---|
| ACADEMIC YEAR | 2019/2020 |
| CREDITS |
7 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA
7 credits during the 3nd year of 8760 Mathematics (L-35) GENOVA |
| SCIENTIFIC DISCIPLINARY SECTOR | MAT/04 |
| LANGUAGE | Italian |
| TEACHING LOCATION | GENOVA (Mathematics) |
| SEMESTER | 2° Semester |
| TEACHING MATERIALS | AULAWEB |
Language: Italian
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
Weierstrass's work
Cantor's Mengenlehre
The first steps
Non-countability of R
One-to-one correspondence between R and Rn
Cardinals and ordinals
The continuum hypothesis
Further developments
Well-ordered sets
The axiom of choice
The antonomies of the infinite
Genesis of measure theory
Hausdorff's work
The conundrum of "dimension"
Hausdorff's and Banach-Tarski's paradoxes
Zermelo-Fraenkel's axioms
CLAUDIO BARTOCCI (President)
PIERRE OLIVIER MARTINETTI
NICOLA PINAMONTI
Teaching style: In presence
The class will start according to the academic calendar.
Oral.