20410618 - ME420 - FOUNDATIONS AND HISTORY OF GEOMETRY

The course aims to deepen and to put in perspective, also from the historical-cultural point of view, theories and techniques of geometry which have a central role in the academic program of secondary schools.

teacher profile | teaching materials

Programme

1- Greek geometry; constructions with ruler and compass. The classical problems
2- Euclid' s Elements: Book 1
3- The history of Fifth Postulate
4- The solution to some classical problems and hyperbolic geometry
5- Isometries of the plane and symmetry groups

Core Documentation

R. Trudeau: "La rivoluzione non euclidea" ed Boringhieri
R. Hartshorne: "Euclid and beyond" ed Springer

Attendance

encouraged

Type of evaluation

There will be either two written tests during the course, or a unique one, about the arguments of the course