The Geometry Of Fractal Sets

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The Geometry of Fractal Sets

Author: K. J. Falconer
language: en
Publisher: Cambridge University Press
Release Date: 1985
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.
Geometry of Sets and Measures in Euclidean Spaces

Author: Pertti Mattila
language: en
Publisher: Cambridge University Press
Release Date: 1999-02-25
This book studies the geometric properties of general sets and measures in euclidean space.
Assouad Dimension and Fractal Geometry

Author: Jonathan M. Fraser
language: en
Publisher: Cambridge University Press
Release Date: 2020-10-29
The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.