The Geometry Of Fractal Sets


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The Geometry of Fractal Sets


The Geometry of Fractal Sets

Author: K. J. Falconer

language: en

Publisher: Cambridge University Press

Release Date: 1985


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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


Geometry of Sets and Measures in Euclidean Spaces

Author: Pertti Mattila

language: en

Publisher: Cambridge University Press

Release Date: 1999-02-25


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This book studies the geometric properties of general sets and measures in euclidean space.

Assouad Dimension and Fractal Geometry


Assouad Dimension and Fractal Geometry

Author: Jonathan M. Fraser

language: en

Publisher: Cambridge University Press

Release Date: 2020-10-29


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The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.