Differential geometry is the study of smooth manifolds and the intrinsic properties of spaces that can be described locally by Euclidean geometry. Within this expansive field, singularities represent ...

Humans possess a higher-level, universal capacity to grasp abstract geometrical concepts, a study finds. Humans are unique among primates in their ability to create formal symbolic systems that ...

American life today is being rapidly and continuously transformed by technological progress. Kurzweil is admirably placed to give outsiders a look at the world as the technological revolutionaries see ...