Advertisement

Measure, Topology, and Fractal Geometry

  • Gerald A. Edgar

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Gerald A. Edgar
    Pages 1-36
  3. Gerald A. Edgar
    Pages 37-78
  4. Gerald A. Edgar
    Pages 79-104
  5. Gerald A. Edgar
    Pages 105-122
  6. Gerald A. Edgar
    Pages 123-146
  7. Gerald A. Edgar
    Pages 147-194
  8. Gerald A. Edgar
    Pages 195-216
  9. Back Matter
    Pages 217-231

About this book

Introduction

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

Keywords

DEX Mathematica addition algebraic topology algorithms computer fractal fractal geometry geometry measure measure theory metric space similarity topology university

Authors and affiliations

  • Gerald A. Edgar
    • 1
  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4134-6
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-4136-0
  • Online ISBN 978-1-4757-4134-6
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site
Industry Sectors
Pharma
Finance, Business & Banking
Electronics
Aerospace
Oil, Gas & Geosciences