Geometry of sets and measures in Euclidean spaces: Fractals...

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Geometry of sets and measures in...

Geometry of sets and measures in Euclidean spaces: Fractals and rectifiability

Name: Geometry of sets and measures in Euclidean spaces: Fractals and rectifiability
ISBN: 9780521655958

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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.

الفئات:

Mathematics

عام:

1995

الناشر:

Cambridge University Press

اللغة:

english

الصفحات:

354

ISBN 10:

0521655951