Book description
Our daily universe is rough and infinitely diverse. The fractal
approach clarifies and orders these disparities. It helps us to
envisage new explanations of geographical phenomena, which are,
however, considered as definitely understood.
Written for use by
geographers and researchers from similar disciplines, such as
ecologists, economists, historians and sociologists, this book
presents the algorithms best adapted to the phenomena encountered, and
proposes case studies illustrating their applications in concrete
situations.
An appendix is also provided that develops programs
written in Mathematica.
Contents
1. A Fractal World.
2. Auto-similar and Self-affine
Fractals.
3. From the Fractal Dimension to Multifractal
Spectrums.
4. Calculation and Interpretation of Fractal
Dimensions.
5. The Fractal Dimensions of Rank-size
Distributions.
6. Calculation and Interpretation of Multifractal
Spectrums.
7. Geographical Explanation of Fractal Forms and
Dynamics.
8. Using Complexity Theory to Explain a Fractal
World.
9. Land-use Planning and Managing a Fractal Environment.
