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Gerald A. Edgar
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Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics) 2nd Edition

by Gerald A. Edgar (Author)
4.5 4.5 out of 5 stars 13 ratings
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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 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
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  1. ISBN-10
    0387972722
  2. ISBN-13
    978-0387972725
  3. Edition
    2nd
  4. Publisher
    Springer
  5. Publication date
    January 1, 1995
  6. Part of series
    Undergraduate Texts in Mathematics
  7. Language
    English
  8. Dimensions
    6.5 x 0.75 x 9.75 inches
  9. Print length
    230 pages
  10. See all details
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Product details

  • Publisher ‏ : ‎ Springer; 2nd edition (January 1, 1995)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 230 pages
  • ISBN-10 ‏ : ‎ 0387972722
  • ISBN-13 ‏ : ‎ 978-0387972725
  • Item Weight ‏ : ‎ 1.15 pounds
  • Dimensions ‏ : ‎ 6.5 x 0.75 x 9.75 inches
  • Customer Reviews:
    4.5 4.5 out of 5 stars 13 ratings

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Gerald A. Edgar

Gerald A. Edgar

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Customer reviews

4.5 out of 5 stars
4.5 out of 5
We don’t use a simple average to calculate the overall star rating and percentage breakdown by star. Our system gives more weight to certain factors—including how recent the review is and if the reviewer bought it on Amazon. Learn more
13 global ratings

Top reviews from the United States

AnastasiaND
5.0 out of 5 stars A great book for those who want to study fractal geometry
Reviewed in the United States on March 26, 2015
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A great book for those who want to study fractal geometry, but need to review measure theory before starting. A great review of topology and a great introduction to the concept of measure theory. Once you have read Gerald Edgar's books on fractal geometry, you should be more than ready to handle Fractal Geometry: Mathematical Foundations and Applications by Kenneth Falconer.
2 people found this helpful
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Roger Bagula
4.0 out of 5 stars some new material->same approach
Reviewed in the United States on January 22, 2010
I bought the first edition of this in the early 90's
and was disappointed that it didn't have the Mandelbrot or other complex dynamics
in it. Dr. Edgar has updated the older book with Julias, multifractals
and Superfractals, but has stayed true to his topological measure theory
Hausdorff space approach. He never updates his Besicovitch-Ursell ( Knopp) functions
to 2d and 3d parametrics or the unit Mandelbrot cartoon method.
Some of his definitions are still so minimal
that duplicating the fractals needs much more information?!
The text is still the good place to begin, but
it is a shame that Dr. Edgar has not kept up
with many of the developments in the field. Zipf and Per Bak
are left out, but my double V L-system made the index as a picture.
One person found this helpful
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Bernardo Vargas
4.0 out of 5 stars Good starting point to study fractal geometry.
Reviewed in the United States on April 12, 2000
This book could be used as a bridge between traditional books on topology-analysis and the speciallized treatises on fractal geometry. More a catalog of definitions, methods, and references than a course text, it covers the fundamental topological and measure-theoretic concepts needed to understand the principles of some of the different dimension theories that exist. But warning: the book is far away of being a complete exposition on any of the subjects it includes.
Suitable for 3rd-year undergrads. Interesting examples and exercises. Extensive bibliography.
Please check my other reviews in my member page (just click on my name above).
9 people found this helpful
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Todd Ebert
4.0 out of 5 stars A nice book
Reviewed in the United States on September 14, 2000
I liked this book because it provided me with a new perspective on metric spaces, in using them as a basis learning about fractals. I think it serves as a nice book for an undergraduate to read and get enthused about studying fractals at a higher level.
2 people found this helpful
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Top reviews from other countries

Veronica
5.0 out of 5 stars Great
Reviewed in India on November 24, 2018
Verified Purchase
Book is in perfect condition
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