Geometry of Sets and Measures in Euclidean Spaces - Fractals and Rectifiability (Paperback, Revised)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Studies in Advanced Mathematics
Release date:	February 1999
First published:	1995
Authors:	Pertti Mattila
Dimensions:	226 x 152 x 23mm (L x W x T)
Format:	Paperback - Trade
Pages:	356
Edition:	Revised
ISBN-13:	978-0-521-65595-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	0-521-65595-1
Barcode:	9780521655958

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