Geometry of Sets and Measures in Euclidean Spaces 2024 pdf epub mobi 电子书

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发表于2024-04-28

Geometry of Sets and Measures in Euclidean Spaces 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:Pertti Mattila

出品人:

页数:356

译者:

出版时间:1999-04

价格:USD 70.00

装帧:Paperback

isbn号码:9780521655958

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图书标签: geometry

Geometry of Sets and Measures in Euclidean Spaces 2024 pdf epub mobi 电子书图书描述

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.

Geometry of Sets and Measures in Euclidean Spaces 2024 pdf epub mobi 电子书

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