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GeezerVison is showing mathworld.wolfram.com — Singularity -- from the MathWorld Classroom

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Singularity

Explore Singularity on MathWorld


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.

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

Prerequisites

Analytic Function: An analytic function is a complex function that is complex differentiable at every point in a region.
Pole: In comlpex analysis, a pole is a singularity of a complex function.

Classroom Articles on Complex Analysis (Up to College Level)

  • Complex Analysis
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  • Riemann Sphere
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  • Conformal Mapping
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