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The Fractal Geometry of Nature
Language: en
Pages: 0
Authors: Benoit Mandelbrot
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Type: BOOK - Published: 2021-07-16 - Publisher: Echo Point Books & Media, LLC

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Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique s
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
Ergodic Theory and Fractal Geometry
Language: en
Pages: 82
Authors: Hillel Furstenberg
Categories: Mathematics
Type: BOOK - Published: 2014-08-08 - Publisher: American Mathematical Society

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Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, wh
Fractal Geometry and Number Theory
Language: en
Pages: 277
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of th
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