Geometry of Sets and Measures in Euclidean Spaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Geometry of Sets and Measures in Euclidean Spaces

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Pertti Mattila 作者
Cambridge University Press
译者
1999-04 出版日期
356 页数
USD 70.00 价格
Paperback
丛书系列
9780521655958 图书编码

Geometry of Sets and Measures in Euclidean Spaces 在线电子书 图书标签: geometry   


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发表于2024-11-23


Geometry of Sets and Measures in Euclidean Spaces 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Geometry of Sets and Measures in Euclidean Spaces 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Geometry of Sets and Measures in Euclidean Spaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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Geometry of Sets and Measures in Euclidean Spaces 在线电子书 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.

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