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
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 Resource. https://mathworld.wolfram.com/Map.html