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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Fractal Geometry

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Code Completion Credits Range Language
D01FGE ZK Czech
Lecturer:
Ondřej Zindulka (guarantor)
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/
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-04-09
For updated information see http://bilakniha.cvut.cz/en/predmet2872806.html