HISTORY OF MATHEMATICS

HISTORY OF MATHEMATICS

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it ｜ en
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

OVERVIEW

Language: Italian

AIMS AND CONTENT

LEARNING OUTCOMES

Conducting students to address mathematical development issues through a critically acclaimed understanding in a personal way.

Teaching methods

Teaching style: In presence

SYLLABUS/CONTENT

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

TEACHERS AND EXAM BOARD

Claudio Bartocci

Exam Board

CLAUDIO BARTOCCI (President)

NICOLA PINAMONTI

PIERRE OLIVIER MARTINETTI

LESSONS

Teaching methods

Teaching style: In presence

LESSONS START

The class will start according to the academic calendar.

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

Vedi anche:

HISTORY OF MATHEMATICS

EXAMS

Exam description

Oral.