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Geometry of Sets and Measures in Euclidean Spaces - Fractals and Rectifiability (Electronic book text)
Geometry of Sets and Measures in Euclidean Spaces - Fractals and Rectifiability (Electronic book text): Pertti Mattila
Geometry of Sets and Measures in Euclidean Spaces - Fractals and Rectifiability (Electronic book text): Pertti Mattila

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Geometry of Sets and Measures in Euclidean Spaces - Fractals and Rectifiability (Electronic book text)

Pertti Mattila

Series: Cambridge Studies in Advanced Mathematics, 44

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Now in paperback, the main theme of this book is the study of 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 and develops all the necessary main tools, 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 Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.

General

Imprint: Cambridge University Press (Virtual Publishing)
Country of origin: United Kingdom
Series: Cambridge Studies in Advanced Mathematics, 44
Release date: August 2012
Authors: Pertti Mattila
Format: Electronic book text
ISBN-13: 978-0-511-62381-3
Barcode: 9780511623813
Categories: Promotions
Books
LSN: 0-511-62381-X

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