Fractal Geometry

The course is not on the list Without time-table

Code	Completion	Credits	Range	Language
D01FGE	ZK			Czech

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Introduction to fractal theory. Fractals are sets in the plane or Euclidean spaces whose mathematical and esthetical paradigm substantially differs from that of classical geometry of smooth curves and surfaces. The original fantasies of mathematicians - Koch island, Mandelbrot set and the like surprisingly found analogies in physics, biology geography, astronomy...

Requirements:

101MT01, 101MT02, 101MT03

Syllabus of lectures:

Cantor set. Koch curve. Sierpinski gasket and carpet. Box counting dimension. Convergence to an attractor, Collage Theorem. Moran equation. Examples of fractals in nature and science.

Syllabus of tutorials:

Study Objective:

Learning elementary notions of fractal geometry and dimension and their applications.

Study materials:

Lecture notes

B. Mandelbrot: Fraktály, Mladá Fronta 2003

K. Falconer: Geometry of fractal sets, Cambridge University Press.

Note:

Further information:

http://mat.fsv.cvut.cz/zindulka/

No time-table has been prepared for this course

The course is a part of the following study plans: