WOLFRAM|DEMONSTRATIONS PROJECT

Mapping Contour Integrals

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choose function
1
z
drag mouse
on z-plane
z
w(z)
∫w(z)dz
This Demonstration shows the paths of contour integrals over some basic complex functions.
The upper-left panel is the original complex
z
-plane. Use the mouse to draw a contour in the
z
-plane.
The upper-right panel shows the image of the
z
-plane using the complex function
w(z)
selected in the "choose function" popup menu.
The lower-left panel shows the corresponding contour integration of
∫w(z)dz
. The contour integrals are not evaluated.