This is a set of course notes for an IBL college mathematics course in classical Euclidean Geometry. Material covered corresponds roughly to the first four books of Euclid. Problems are chosen to ...

IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the ...

Learn about the fascinating history of geometry, from its first known application in ancient civilizations to its relevance in current science and technology. Ancient civilizations in places like the ...

Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and ...

THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract ...

This Paper addresses the limitations of classical machine learning approaches primarily developed for data lying in Euclidean space. Modern machine learning increasingly encounters richly structured ...