Interactive application
Interactive
Overview · selected highlights

Complex functions

See a complex function as geometry: how it moves a region, changes local scale and wraps around singularities. Branch structure and Riemann surfaces give a visible vocabulary for contour integration, phase and multivalued functions.

Follow a region into its complex image
DomainMapImage
Brochure →Open project ↗
  1. z

    Choose a domain

    Select a complex function and a region to inspect.

  2. f(z)

    Map the region

    Follow how points and geometric structure transform.

  3. ∂

    Inspect local change

    Relate deformation and phase to the function's behavior nearby.

  4. ↺

    Follow the branches

    Explore continuation and the geometry surrounding singular behavior.

A branch choice becomes a geometric feature you can inspect.

Mapping Mode
Mapping Mode
Mapping Mode - Branches
Mapping Mode - Branches
Riemann Surface Mode (Traditional)
Riemann Surface Mode (Traditional)