Università degli Studi di Pavia

Dipartimento di Matematica ''F. Casorati''

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Elementary Mathematics from a Higher Standpoint

Professors:
Pesci Angela
Year:
2015/2016
Course code:
500707
ECTS:
6
SSD:
MAT/04
DM:
270/04
Lessons:
48
Period:
II semester
Language:
Italian

Objectives

The course has the objective to compare three different axiomatic theories of elementary geometry

Teaching methods

Frontal lessons and discussions

Examination

A written examination and one oral

Prerequisites

The main concepts of the basic Mathematics courses are requested

Syllabus

The axioms of D. Hilbert geometry theory;
Interpretations of Hilbert axioms and propositions, models;
The axioms of G. Choquet geometry theory;
The axioms of G. Prodi geometry theory;
A critic comparison among the three different axiomatic presentations;
Elementary problems solution following the different axiomatic theories.

Bibliography

1) Fondamenti della geometria, D. Hilbert, Feltrinelli, 1968
2) L'insegnamento della geometria piana: la proposta di G. Choquet
3) La geometria piana secondo il progetto di G. Prodi
2) and 3) are available in files to be required to the teacher


Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602