In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.

THIS text-book should evoke in the student a realization of the infinite possibilities opened up by the many geometries included in the general scheme in which the classical geometry of his curriculum ...

This is a preview. Log in through your library . Publisher Information The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and ...

Geometry may be one of the oldest branches of mathematics, but it’s much more than a theoretical subject. It’s part of our everyday lives, says Professor Jennifer Taback, and key to understanding many ...

Bernhard Riemann was a man with a hypothesis. He was confident that it was true, probably. But he didn’t prove it. And attempts over the last century and a half by others to prove it have failed. A ...

In the vast world of geometry and art, there are figures that challenge our perception and understanding of space. One of these figures is the Penrose Triangle, also known as the Tribar. This object, ...

Virtual reality can take you to some far-out places — mountaintops, distant cities and even fantastical game worlds. A team of artists and mathematicians is now adding to that list: universes where ...