Math History: Who was the first to use the word "map" in its modern meaning in Mathematics?

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So far the first explicit mention of the word map to describe sets or in connection with functions i found was in the Paper "Homotopy Relations in Fibre Spaces" by W. Hurewicz and N. E. Steenrod from 1941. But so far i could not find a comprehensive etymological analysis of the word map or mapping in mathematics. My suspicion so far is that it emerged through the course of the four colour theorem since there was at first a "real map" wich was solved using sets. Any help on this topic would be widely appreciated.

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See mapping in Earliest Known Uses of Some of the Words of Mathematics (M).

For Hermann Weyl, see H.Weyl (1929), page 110, English transl.of the 2nd ed., 1932.

The previous English translation of the German Abbildung was transformation or correspondence; see e.g. Richard Dedekind (1887), page 50, 1st English transl., 1901.

Also correlation was used; see D.Hilbert (1904), page 348, Engl.transl.The Monist (1905).