Mathematics of Fractals  FRA

Instructor: Dr. Tamás KELETI

Text: Gerald A. Edgar: Measure, Topology, and Fractal Geometry

Prerequisite: Introductory analysis course with proofs: continuous functions, the limit of a sequence, the sum of an infinite series, etc.; basic abstract set theory: finite vs. infinite sets, countable vs. uncountable sets. Some elementary knowledge of metric spaces and topology is desirable, but a short introduction will be offered to make the course self contained.

Course description: This course provides an introduction into the fractal geometry and its mathematical background: iterated function systems, measures (Lebesgue and Hausdorff measures), dimensions and the topology of metric spaces.