Topics in a Complex Analysis Course
To learn more about a topic listed below, click the topic name to go to the
corresponding MathWorld classroom page.
Analytic Continuation |
Analytic continuation is a way of extending the domain over which a complex function is defined. |
Analytic Function |
An analytic function is a complex function that is complex differentiable at every point in a region. |
Complex Analysis |
Complex analysis is the study of complex functions and their derivatives, manipulation, and other properties. |
Conformal Mapping |
A conformal mapping is a transformation in the complex plane that preserves local angles. |
Pole |
In comlpex analysis, a pole is a singularity of a complex function. |
Riemann Sphere |
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 Surface |
A Riemann surface is a surface that represents the domain of a multiple-valued complex function. |
Singularity |
In mathematics, a singularity is a point at which an equation, surface, etc., blows up or becomes degenerate. Singularities are often also called singular points. |