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