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In this video lecture, Prof. John H. Hubbard explains the origin and significance of the Mandelbrot set, one of the most important mathematical discoveries of the last century. Hubbard describes how the Mandelbrot set arose from the discovery of Julia and Fatou sets through the process of iterating the quadratic function on the complex plane.

Prof. Joseph W. Dauben discusses the life of Galileo, the origin of perspective drawing and the interaction of art and science in the Renaissance. His presentation includes dozens of artworks and recreations of experiments.

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.

Prof. David Hoffman presents current research in the mathematical theory of minimal surfaces. His lecture is illustrated with animated computer graphics of newly discovered surfaces.

In this video lecture by Prof. Robert L. Devaney, the mathematical structures known as the Orbit Diagram and the Mandelbrot set are explained and illustrated. This video constitute an introduction to chaos theory and complex analytic dynamics.