Status Updates From Fractal Geometry 2e

Brownian motion and power spectrum.

Random Fractals.

Julia Sets and the Mandelbrot Set.

Dynamical systems, including the Logistic equation, strange attractors, and Lyapunov exponents.

Applications in Number theory and using box counting methods with data.

How to generate fractals.

Getting into applications now, which is why I am here.

Multiplying fractals, one adds the dimensions, which makes sense logarithmically

Mass distribution measures of dimensionality. More rigor than I am used to, but I am merely a physicist, not a mathematician.

Hausdorff and Box Counting dimensions. More heavily mathematical treatment with definitions and proofs.

Intro to math concepts and terms

A full guide to fractal geometry. Suitable for applied mathematicians.

Randomizing fractal patterns and power spectrum of fractal noise, Brown, White, Pink, and Black.

Julia sets and Mandelbrot. I know rigor makes sure the stuff is right and all but really I like the "smash and grab" stuff you can use.

Once you get past the rigorous prelude you get to the good stuff the smash and grab math and doing stuff with fractals

Methods for measuring fractals for making projections of them on lower dimensions, and products of fractals.

a more empirical off the shelf measure for objects that aren't constructed but ones found out there to be analyzed and assessed is the "Box Counting" dimension. And some other alternative variants.

Hausdorf dimension for fractional dimensions between the integer dimensions everyone knows about. I have seen this treatment in other places.

rigorous work with probability theory. I am pretty good with this stuff.

Borel sets and measure theory and Lebesque Measure. I wonder if they are using law school methods with this book. You know the joke "the first year of law school scare you to death, second-year work you to death, third-year bore you to death"

This has some rigorous mathematical treatments proper, not the "smash and grab" applied math I use for physics. Luckily I graduate school drop out in Mathematics so I can handle the rigor.