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 (46 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
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
Fractals: A Very Short Introduction
Language: en
Pages: 153
Authors: Kenneth Falconer
Categories: Mathematics
Type: BOOK - Published: 2013-09-26 - Publisher: OUP Oxford

DOWNLOAD EBOOK

Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more
Chaos and Fractals
Language: en
Pages: 1013
Authors: Heinz-Otto Peitgen
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching
African Fractals
Language: en
Pages: 258
Authors: Ron Eglash
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher:

DOWNLOAD EBOOK

Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers