In this 1989 video presentation, Mathematica (TM) creator Stephen Wolfram demonstrates his award winning mathematics software. Wolfram demonstrates numerical calculations, algebraic calculation and graphical renderings. He concludes with a discussion of programming.
There was a lot of activity in the field of programming languages at the time. Python, Haskell, Mathematica and RPL were introduced within 3 years of each other.
I was at University of Illinois at Urbana-Champaign in 1990 as a freshman, and was taking a discrete math class, which used the computer lab that had Mathematica on both Macs and a NeXT machine. It was a great experience, I spent so much time using the software afterhours, my professor ended up introducing me to Mr. Wolfram. Very awkward meeting, still remember it well
I got half-an-hour in but watching him fail to realise that "Packages" was actually a folder and that he needed to open it to see if the polyhedra package was inside, was just too painful. :-(