A way of associating unique objects to every point in a given Set. So a map from is an object such that for every , there is a unique object . The terms Function and Mapping are synonymous with map.

The following table gives several common types of complex maps.

Mapping | Formula | Domain |

Inversion | ||

Magnification | ||

Magnification+Rotation | ||

Möbius Transformation | ||

Rotation | ||

Translation |

**References**

Arfken, G. ``Mapping.'' §6.6 in *Mathematical Methods for Physicists, 3rd ed.* Orlando, FL:
Academic Press, pp. 384-392, 1985.

Lee, X. ``Transformation of the Plane.'' http://www.best.com/~xah/MathGraphicsGallery_dir/Transform2DPlot_dir/transform2DPlot.html.

© 1996-9

1999-05-26