Measure, Topology, and Fractal Geometry

Download or read book Measure, Topology, and Fractal Geometry written by Gerald Edgar and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.