10.1/2 (M/AM) (e) FRACTAL GEOMETRY
UNIT-I:
Fractal Examples, The triadic Cantor dust,The Sierpinski Gasket, A Space of strings, Turtle graphics, Sets defined recursively, Number systems.
UNIT-2
Metric topology, Metric spaces, Separable and compact spaces, Uniform convergence, The Hausdorff metric, Metrics for strings.
UNIT-III
Topological dimension, Small inductive dimension, large inductive dimension,
Two-dimensional Euclidean space, Other topological dimensions.
UNIT-IV
Self similarity, Ratio lists, String models, Graph self similarity, Hausdorff dimension, Hausdorff measure and examples, Self similarity and graph self similarity
Text book:
1. Gerald A.Edgar , Measure, Topology and Fractal Geometry.
Spring verlog, 1990.
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