Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Paperback)

by Pertti Mattila (Author) "In this chapter we shall introduce some general measure-theoretic concepts, terminology, and results which will be needed later on..." (more)
Key Phrases: uniform rectifiability, zero analytic capacity, tangent measures, Applying Theorem, Using Fatou (more...)

Editorial Reviews

Review
"Provides a unified theory for the study of the topic and develops the main tools used in its study including theorems, Hausdorff measures, and their relations to Riesz capacities and Fourier transforms." Book News, Inc.

Product Description
The focus of this book is geometric properties of general sets and measures in Euclidean spaces. Applications of this theory include fractal-type objects, such as strange attractors for dynamical systems, and those fractals used as models in the sciences. The author provides a firm and unified foundation for the subject and develops all the main tools used in its study, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Besicovitch-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of Euclidean space possessing many of the properties of smooth surfaces.

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Product Details

• Paperback: 356 pages
• Publisher: Cambridge University Press (April 1999)
• Language: English
• ISBN-10: 0521655951
• ISBN-13: 978-0521655958
• Product Dimensions: 8.8 x 6 x 0.9 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Average Customer Review: No customer reviews yet. Be the first.
• Amazon.com Sales Rank: #1,131,773 in Books (See Bestsellers in Books)