Science/Engineering Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies in Advanced Mathematics) (0521465761)

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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability (Cambridge Studies in Advanced Mathematics)

By Pertti Mattila

& 8220;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.

& 8221;

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	Advanced Euclidean Geometry (Dover Books on Mathematics) Advanced Euclidean Geometry (Dover Books on Mathematics)Dover Publications \| ISBN: 0486462374 \| 2007-08-31 \| PDF \| 336 pages \| 5 Mb This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Eucli ...
	Science/Engineering Stone Spaces (Cambridge Studies in Advanced Mathematics): Peter T. Johnstone Stone Spaces (Cambridge Studies in Advanced Mathematics): Peter T. Johnstone Cambridge University Press \| ISBN: 0521238935 \| 1983-04-29 \| djvu (ocr) \| 400 pages \| 2.68 Mb Over the last 45 years, Boolean theorem has been generalized and ext ...
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