Fractal Geometry
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| D01FGE | ZK | Czech |
- Course guarantor:
- Ondřej Zindulka
- Lecturer:
- Ondřej Zindulka
- 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 2024/2025:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans: