Course Details

Classical Fractals, Self-similarity, Metric Spaces, Equivalent Spaces, The Space of Fractals,
Transformation on Metric Spaces, Contraction Mapping and Construction of fractals from IFS. Fractal Dimension, Hausdorff measure and dimension, Fractal Interpolation Functions, Hidden Variable FIF, Fractal Splines, Fractal Surfaces, Measures on Fractals, Complex Dynamics, Mandelbrot Set, Julia Set and Fatou Set.

Course References:

1. M.F. Barnsley, Fractals Everywhere, Academic Press.
2. K. Falconer, Fractal Geometry (Mathematical Foundations and Applications), John Wiley \& Sons.
3. Robert Devaney, A First Course in Dynamical Systems, Addison-Wesley