AI-powered
podcast player
Listen to all your favourite podcasts with AI-powered features
The Fundamentals of Geometry
Bernard Riemann, around 1854, was a student of Gauss. He had already on his PhD, but the Germans have another degree you need to get before you're able to teach in universities. The difference between Euclidean geometry and non-Euclidean geometry is that in a Euclidean space there's no curvature anywhere. This hyperbolic plane or the sphere are curved, and that curvature pushes the lines together or apart.