Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

Geometry: Plane and Fancy is a tour of aspects of geometry that students are unlikely to have seen in a high school geometry course. I am interested in educational issues in mathematics, particularly ...

IN a recent number (NATURE, vol. xviii. p. 263) we took occasion to suggest that the usefulness of a school scientific society might still further be increased by calling in the assistance of ...

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 ...

Geometry is a language and a portal that allows objects to pass between the physical world and the world of drawing, abstraction, and language. How does stepping through this portal leave an imprint ...

DIFFERENTIAL geometry is a technical and rather forbidding term, but the subject is of the highest interest, and not to mathematicians alone. It includes the whole theory of mapdrawing; it is required ...

Soft matter is a truly interdisciplinary field of study encompassing an ever broadening array of subjects, ranging from elasticity, complex fluids, and metamaterials, to physics of living matter and ...