A map is a way of associating unique objects to every element in a given set. So a map 
from 
to 
is a function 
such that for every 
, there is a unique object 
. The terms function and
mapping are synonymous for map.
Map
See also
2x mod 1 Map, Arnold's Cat Map, Baker's Map, Boundary Map, Complex Map, Conformal Mapping, Function, Gauss Map, Gingerbreadman Map, Harmonic Map, Hénon Map, Hyperbolic Map, Identity Map, Inclusion Map, Kaplan-Yorke Map, Logistic Map, Mandelbrot Set, Map Projection, Pullback Map, Quadratic Map, Symplectic Map, Tangent Map, Tent Map, Transformation, Zaslavskii MapExplore with Wolfram|Alpha
References
Arfken, G. "Mapping." §6.6 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 384-392, 1985.Referenced on Wolfram|Alpha
MapCite this as:
Weisstein, Eric W. "Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Map.html