In Basins of Attraction, we investigate the basins of attraction of one-dimensional maps, and experiment with a magnetic system.
In Newton's Method for Digging Up Roots, we study Newton's method for polynomial examples, relate this to graphical iteration, and find the basins of aattraction of the polynomial roots.
In Another Surprise in Newton's Method, we see that Newton's method for a family of complex cubic polynomials contains ... if we told you, it wouldn't be a surprise.
In A Parable, we bring these technical ideas back into our lives.
Return to Exercises Introduction
Go to Chapter 1 exercises
Go to Chapter 2 exercises
Go to Chapter 3 exercises
Go to Chapter 4 exercises
Go to Chapter 5 exercises
Go to Chapter 6 exercises
Go to Chapter 7 exercises
Go to Chapter 9 exercises
Return to Chaos Under Control