Dalla geometria di Euclide alla geometria dell'Universo

The book "From Euclidean Geometry to the Geometry of the Universe" offers a comprehensive analysis of various geometries that go beyond traditional Euclidean geometry. It explores geometries on different surfaces such as the sphere, cylinder, cone, and pseudosphere. The author team, consisting of Ferdinando Arzarello, Cristiano Dané, Laura Lovera, Miranda Mosca, Nicoletta Nolli, and Antonella Ronco, aims to describe the intrinsic properties of these geometries, particularly through the investigation of the concept of geodesy. Readers are introduced to the concepts of local Euclidean geometry, elliptical geometry, and hyperbolic geometry, with an emphasis on the central role of Gaussian curvature. Additionally, interdisciplinary topics are addressed, such as the analysis of geographical maps and the geometric principles underlying GPS technology. Thus, the book provides not only mathematical insights but also practical applications and fundamental considerations regarding Euclidean geometry.