Measure, Topology, and Fractal Geometry

Measure, Topology, and Fractal Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 252
Release :
ISBN-10 : 9781475741346
ISBN-13 : 1475741340
Rating : 4/5 (340 Downloads)

Book Synopsis Measure, Topology, and Fractal Geometry by : Gerald A. Edgar

Download or read book Measure, Topology, and Fractal Geometry written by Gerald A. Edgar and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1


Measure, Topology, and Fractal Geometry Related Books

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

DOWNLOAD EBOOK

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

DOWNLOAD EBOOK

Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, wh
Fractal Geometry, Complex Dimensions and Zeta Functions
Language: en
Pages: 583
Authors: Michel L. Lapidus
Categories: Mathematics
Type: BOOK - Published: 2012-09-20 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional dru
The Fractal Geometry of Nature
Language: en
Pages: 0
Authors: Benoit Mandelbrot
Categories:
Type: BOOK - Published: 2021-07-16 - Publisher: Echo Point Books & Media, LLC

DOWNLOAD EBOOK

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
The Geometry of Fractal Sets
Language: en
Pages: 184
Authors: K. J. Falconer
Categories: Mathematics
Type: BOOK - Published: 1985 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence