Status Updates From Chaos Theory Tamed

reading scatter plots and orbits around chaotic attractors. Graphics are quite helpful in this area. We devote huge amounts of cortical material in the back of heads on visual discernment probably more so than language processing and way more than logic and recursion abilities of equations. A technical way of saying a picture says a thousand words.

the tools to investigate Chaos and Fractals at the beginning of the book are heavy-duty math tools. I mean he is relatively gentle on the reader but this stuff is not easy. The rest of the book on the actual science of chaos is much lighter even breezy.

Period doubling found in the logistic curve has a mysterious ratio to the doublings and it turns up a lot in other systems with period doublings on the route to chaos. We don't know if this number is tied to some other number and we have only empirically calculated some of the digits. https://en.wikipedia.org/wiki/Feigenb...

fun with differential equations and attractors in two-D and three-D space.

Fun with a simple logistic iteration X(1-X) iterated over and over resembles an animal population and goes into period-doubling as a route to chaos and later weird islands of stability with odd integers in these islands which in turn period-doubling into chaos again.

Walks through autocorrelation and Fourier Transform heavy duty late undergraduate or graduate math. Again the author does some hand-holding which why I liked this book the first time I hit it. It brings you up to speed.

The first few chapters are just remedial college math and stats to get you up to speed on later material a lot of hand-holding which a newby would appreciate.