TOPICS
Search

Riemann Sphere

Explore RiemannSphere on MathWorld


The Riemann sphere is a name given to the complex plane together with a point at infinity, which has the topology of a sphere.

Riemann sphere is a college-level concept that would be first encountered in a complex analysis course.

Prerequisites

Complex Number: A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane.
Complex Plane: The complex plane is a term for the set of all complex numbers. Just as all real numbers can be imagined as lying on a line, all complex numbers can be thought of as points in a plane.
Sphere: A sphere is the set of all points in three-dimensional space that are located at a fixed distance from a given point.

Classroom Articles on Complex Analysis (Up to College Level)

  • Analytic Function
  • Pole
  • Complex Analysis
  • Singularity
  • Conformal Mapping