Fractals, Visualization and J is a text that uses fractals as a motivational goal for the study of visualization. The language J is introduced as needed for the topics at hand. Included are chapters: Introduction to J and Graphics, Plots, Verbs and First Fractals, Time Series and Fractals, Iterated function systems and Raster Fractals, Color, Contours and Animations, Complex Dynamics, Cellular Automata.