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

Book Details

• Publisher: Springer

• Author: Gerald Edgar

• Language: English

• Edition: Softcover reprint of hardcover 2nd ed. 2008

• ISBN: 9781441925695

• Pages: 272

• Cover: Paperback

• Dimensions: 9.3 x 6.1 x 0.7 inches

About The Book

Fractal Geometry: Mathematical Foundations and Applications by Gerald Edgar offers an in-depth exploration of the mathematical principles behind fractals. This textbook, originally based on a course given to high school students at Ohio University in 1988, provides a thorough introduction to fractal geometry at the undergraduate level.

The book delves into key mathematical concepts such as metric spaces, measure theory, dimension theory, and algebraic topology, all through the lens of fractals. Edgar’s work is particularly valuable for students in mathematics and computer science who wish to understand the foundational mathematics of fractals, along with the essential topics from metric topology and measure theory.

In the second edition, Edgar updates the content to reflect developments in fractal geometry since 1990, with significant changes to chapter 6. The focus shifts to include both Hausdorff and packing dimensions, offering a more comprehensive view of the subject. Chapter 7 is also substantially updated, with new examples and recent advancements in the field. The book is written in a clear, accessible style, and includes numerous exercises, making it an ideal resource for students and educators alike.

With its clear explanations and illustrative examples, including 16 color plates, this book is an excellent resource for anyone looking to explore the mathematics of fractal geometry.