A Review and Demonstration of The Essence of Chaos by Edward N. Lorenz

A marvelous exposition on chaos is the book The Essence of Chaos by Dr. Edward N. Lorenz. In this book Dr. Lorenz, famous for his butterfly icon of chaos, gives a detailed description of a new and realistic model of chaos; the sliding of a board (a toboggan to those that live in snowy climes) and a sled down a "bumpy" hill (moguls to the snow aficionados). His text shows numerous figures which were calculated by him and this reviewer has formulated the model using Mathematica. This report is an update and expansion from previous arXiv publication (0910.2213).