Hello! I'm looking for a survey (of the history) of the concept of mapping/function. How the concept was *evolving*. Especially I'm interested in what it turned into during the last 50 years.

So actually what are the modern views on this entity and how they emerged, the motivation behind.

Categories for the Working Mathematician, where he implies that the arrow notation only gained currencty about 1941. (Eilenberg and Mac Lane's foundational paper on categories was published in 1945.) – Tom Leinster Apr 30 '12 at 3:28Introduction to Mathematical Philosophy. (You can see a scan on p.13 of this file: maths.gla.ac.uk/~tl/phil/cuspomms.pdf .) – Tom Leinster Apr 30 '12 at 3:32