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Measure, Topology, and Fractal Geometry (Springer Undergraduate Texts in Mathematics and Technology)

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Gerald A. Edgar (Author)
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4.4 out of 5 stars 5 customer reviews
ISBN-13: 978-0387972725
ISBN-10: 0387972722
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Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)
Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)
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Product Details

  • Series: Springer Undergraduate Texts in Mathematics and Technology
  • Hardcover: 230 pages
  • Publisher: Springer (July 27, 1995)
  • Language: English
  • ISBN-10: 0387972722
  • ISBN-13: 978-0387972725
  • Product Dimensions: 0.8 x 6.5 x 9.8 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #3,638,133 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

9 of 9 people found the following review helpful
Good starting point to study fractal geometry.
By Bernardo Vargas on April 12, 2000
Format: Hardcover
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).
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some new material->same approach
By Roger Bagula on January 22, 2010
Format: Hardcover
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 Biscovitch-Ursell 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.
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A great book for those who want to study fractal geometry
By AnastasiaND on March 26, 2015
Format: Hardcover Verified Purchase
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.
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2 of 5 people found the following review helpful
A nice book
By Todd Ebert on September 14, 2000
Format: Hardcover
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.
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3 of 8 people found the following review helpful
A difficult but worthy book!
By A Customer on March 19, 1998
Format: Hardcover
The programs are in LOGO: don't let the turtles fool you, this is the real stuff by a master teacher. It is hard and the examples are even harder. The problem sets are at times impossible, but in the end Dr. Edgar delivers: understanding! Your unique Associates ID is: thefractaltransl.
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