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.
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 Map
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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
Cite this as:
Weisstein, Eric W. "Map." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Map.html