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Measure, Topology, and Fractal Geometry
Language: en
Pages: 252
Authors: Gerald A. Edgar
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable
The Geometry of Fractal Sets
Language: en
Pages: 184
Authors: K. J. Falconer
Categories: Mathematics
Type: BOOK - Published: 1985 - Publisher: Cambridge University Press

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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
Lectures on Fractal Geometry and Dynamical Systems
Language: en
Pages: 334
Authors: Ya. B. Pesin
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and
Fractal Geometry and Stochastics VI
Language: en
Pages: 312
Authors: Uta Freiberg
Categories: Mathematics
Type: BOOK - Published: 2021-03-23 - Publisher: Springer Nature

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This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers fro
Fractal Dimension for Fractal Structures
Language: en
Pages: 217
Authors: Manuel Fernández-Martínez
Categories: Mathematics
Type: BOOK - Published: 2019-04-23 - Publisher: Springer

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This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure