Introduction to Chaos Julien Clinton Sprott Department of Physics University of Wisconsin Madison, WI USA Abstract The ability to make accurate quantitative predictions and to replicate experiments with the same result are hallmarks of the scientific revolution. In the last few decades it has come to be widely recognized that deterministic systems governed by simple equations can behave unpredictably. This phenomenon is called "chaos," and it has excited the imagination of the public as well as the interest of scientists in diverse fields. This talk will give a brief history of the field and will show mathematical examples of chaos in planetary motion, the weather, forced pendulums, and electrical circuits.