Measure, Topology, and Fractal Geometry

by Gerald A. Edgar

Book Overview

Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. The book provides a significant contribution to material already published about the beautiful mathematical objects drawn by computers using recursive or iterative algorithms. It nicely bridges the gap between traditional books on topology/analysis and more specialized...

• Format: Hardcover
• Language: English
• ISBN: 0387747486
• ISBN13: 9780387747484
• Release Date: November 2007
• Publisher: Springer
• Length: 272 Pages
• Weight: 1.20 lbs.
• Dimensions: 0.8" x 6.6" x 9.2"

Customer Reviews

A nice book

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.

Good starting point to study fractal geometry.

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).

A difficult but worthy book!

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.