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Gerald Edgar - Measure, Topology, and Fractal Geometry - 9780387747484 - V9780387747484
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Measure, Topology, and Fractal Geometry

€ 65.61
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Description for Measure, Topology, and Fractal Geometry Hardcover. This is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It is based on a course given to talented high-school students at Ohio University in 1988 and contains plenty of examples, exercises, and good illustrations of fractals. Series: Undergraduate Texts in Mathematics. Num Pages: 288 pages, 149 black & white illustrations, 20 colour illustrations, biography. BIC Classification: PBMX; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 242 x 159 x 27. Weight in Grams: 586.

From reviews of the first edition:

"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 ... Read more

Mathematics Teaching

"The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples."

Christoph Bandt, Mathematical Reviews

"...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. Especially, for the last students the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out."

H.Haase, Zentralblatt

About the second edition: Changes throughout the text, taking into account developments in the subject matter since 1990; Major changes in chapter 6. Since 1990 it has become clear that there are two notions of dimension that play complementary roles, so the emphasis on Hausdorff dimension will be replaced by the two: Hausdorff dimension and packing dimension. 6.1 will remain, but a new section on packing dimension will follow it, then the old sections 6.2--6.4 will be re-written to show both types of dimension; Substantial change in chapter 7: new examples along with recent developments; Sections rewritten to be made clearer and more focused.

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Product Details

Publisher
Springer-Verlag New York Inc. United States
Number of pages
296
Format
Hardback
Publication date
2007
Series
Undergraduate Texts in Mathematics
Condition
New
Weight
585g
Number of Pages
272
Place of Publication
New York, NY, United States
ISBN
9780387747484
SKU
V9780387747484
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Measure, Topology, and Fractal Geometry
From the reviews of the second edition: "As a non-specialist, I found this book very helpful. It gave me a better understanding of the nature of fractals, and of the technical issues involved in the theory. I think it will be valuable as a textbook for undergraduate students in mathematics, and also for researchers wanting ... Read more

Goodreads reviews for Measure, Topology, and Fractal Geometry


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