## Map

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

See also 2x mod 1 Map, Arnold's Cat Map, Baker's Map, Boundary Map, Conformal Map, Function, Gauss Map, Gingerbreadman Map, Harmonic Map, Hénon Map, Identity Map, Inclusion Map, Kaplan-Yorke Map, Logistic Map, Mandelbrot Set, Map Projection, Pullback Map, Quadratic Map, Tangent Map, Tent Map, Transformation, Zaslavskii Map

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.