Noncommutative geometry offers a radical reformulation of traditional geometrical concepts by replacing the classical notion of a manifold with a noncommutative algebra of coordinates. This approach ...

Surfaces that can be represented by equations of degree two – spheres, ellipsoids, paraboloids, hyperboloids, and cones – have long been discussed in courses on descriptive and solid geometry, ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Find out how and why mathematics is used in microeconomics, its limitations, and the math skills that economics students need.

The information and materials presented here are intended to provide a description of the course goals for current and prospective students as well as others who are interested in our courses. It is ...

Einstein's 1917 paper, "Cosmological Considerations in the General Theory of Relativity," applied general relativity to the universe as a whole, establishing a firmer basis for cosmology. To create a ...