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.
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
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