In mathematics and related technical fields, a mapping or map is a variation on the theme of a function.
Most commonly, the terms are simply synonyms for function. Along these lines, a partial mapping is a partial function, and a total mapping is a total function.
In many specific branches of mathematics, the term is used for a function with a standard property relevant to that branch, such as a continuous function in topology, a linear transformation in linear algebra, etc. In Wikipedia, we always include a relevant adjective like "continuous" or "smooth" to avoid confusion.
... course of the Zambesi, discovered Lake Nyasa
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Fernão de Magalhães, (Ferdinand Magellan, sea explorer)
Ferdinand Magellan, (c. 1470-1521), leader of first expedition ...