Measure, Topology, and Fractal Geography Hardback - 2007
by Gerald Edgar
- Used
- Hardcover
Description
Standard delivery: 14 to 21 days
Details
- Title Measure, Topology, and Fractal Geography
- Author Gerald Edgar
- Binding Hardback
- Edition 2nd
- Condition Used - Used - excellent
- Pages 272
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2007-11-26
- Illustrated Yes
- Features Bibliography, Glossary, Illustrated, Index, Table of Contents
- Bookseller's Inventory # OB01641
- ISBN 9780387747484 / 0387747486
- Weight 1.19 lbs (0.54 kg)
- Dimensions 9.22 x 6.58 x 0.75 in (23.42 x 16.71 x 1.91 cm)
- Library of Congress subjects Topology, Measure theory
- Library of Congress Catalog Number 2007934922
- Dewey Decimal Code 514.742
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October Books, founded in 1977 and now based on Portswood Road in Southampton, is a not-for-profit co-operative radical neighbourhood bookshop. Any money we make, is ploughed back into the business. We trade independently from any political organisation, and seek to promote a fair and equal society. Our workers and volunteers are from many different backgrounds, and they bring diversity to the shop, so everyone feels at home in October Books. Our stock is comprised of general popular fiction, non-fiction and children's books, alongside our traditional range of specialised radical books and magazines. Our specialty areas are social issues, adoption, humanities and political issues. We can order any book in print in the UK, US and Europe, but we don't have any online ordering facilities- call into the shop or order by phone. Over the years, we have expanded our range to greeting cards, organic and fair-trade foods and green household items.
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From the publisher
From the rear cover
For the Second Edition of this highly regarded textbook, Gerald Edgar has made numerous additions and changes, in an attempt to provide a clearer and more focused exposition. The most important addition is an increased emphasis on the packing measure, so that now it is often treated on a par with the Hausdorff measure. The topological dimensions were rearranged for Chapter 3, so that the covering dimension is the major one, and the inductive dimensions are the variants. A "reduced cover class" notion was introduced to help in proofs for Method I or Method II measures. Research results since 1990 that affect these elementary topics have been taken into account. Some examples have been added, including Barnsley leaf and Julia set, and most of the figures have been re-drawn.
From reviews of the First Edition:
"...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...the book also contains many good illustrations of fractals..."
- 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. [For such 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
