Ficha técnica de una asignatura en una titulación

ADDISON, P.S., Fractals and Chaos. An illustrated course, IoP, London, 1997
BARNSLEY, M.F., Fractals Everywhere, Academic Press, London, 1988.

DE GUZMÁN, M., MARTÍN, M.A., MORÁN, M., REYES, M. Estructuras fractales y sus aplicaciones, Labor, Barcelona, 1993.

FALCONER, K.J., Fractal Geometry. Mathematical Foundations and Applications, John Wiley & Sons, Chichester, 1990.

PEITGEN, H.-O., JÜRGENS, H. & SAUPE, D., Fractals for the Classroom. Vol I-II.,Springer Verlag, New York, 1992

PEITGEN, H.-O., JÜRGENS, H., SAUPE, D., MATELTSKY, E.M., PERCIANTE, T. &
YUNKER, L.E. Fractals for the Classroom (Strategic Activities) Vol I-II., Springer-Verlag, New York, 1992.

Bibliografía complementaria:

DEVANEY, R.L. & KEEN, L. Chaos and Fr

CantorÆs set. Properties. Dimension of similarity. KochÆs curve. The curves of Peano and Hilbert. SierpinskiÆs sets.
Fractals that are not strictly autosimilar. The Weierstrass function.

2. Fractals and systems in interate functions (SFI).

Contractive applications. Systems iterate functions. Classical fractals
and SFI attractors. Fractal space. HausdorffÆs metric.

3. Iteration of complex functions: Julia and Mandelbrot sets.

The dynamic of quadratic application "Evaded and prisoners". JuliaÆs sets for the
Quadratic family. The Mandelbrot set. Domains
NewtonÆs attraction method.

4. Hausdorff measurement and dimension.

Hausdorff measure. Hausdorff dimension. Properties. Calculating a Hausdorff dimension of classical fractals. BesicovitchÆs set.