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Riemann Surface

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A Riemann surface is a surface that represents the domain of a multiple-valued complex function.

Riemann surface is a graduate-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.
Complex Analysis: Complex analysis is the study of complex functions and their derivatives, manipulation, and other properties.
Surface: A surface is a two-dimensional piece of three-dimensional space.

Classroom Articles on Complex Analysis (Up to Graduate Level)

  • Analytic Continuation
  • Riemann Sphere
  • Conformal Mapping
  • Singularity
  • Pole