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Cambridge University Press Cambridge Geometry of Sets and Measure Spaces - Paperback

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Description

Explore the geometric properties of general sets and measures in Euclidean spaces with this comprehensive text from Cambridge University Press. Now available in paperback, this volume provides a unified foundation for understanding complex mathematical structures. It is designed to support researchers and students working with fractal-type objects, including strange attractors for dynamical systems and scientific models. The text guides readers through essential tools such as covering theorems, Hausdorff measures, and their connections to Riesz capacities and Fourier transforms. The latter portion of the book focuses on the Besicovitch-Federer theory of rectifiable sets, providing deep insight into advanced mathematical foundations. This work is an essential resource for those studying set theory and the mathematical properties of measures and fractals.

Key Features

Provides a unified foundation for studying the geometric properties of general sets and measures in Euclidean spaces.

Covers essential mathematical tools including covering theorems, Hausdorff measures, Riesz capacities, and Fourier transforms.

Explores applications in fractal-type objects like strange attractors for dynamical systems and scientific modeling.

Includes extensive coverage of the Besicovitch-Federer theory regarding rectifiable sets.

Part of the Cambridge Studies in Advanced Mathematics series, ensuring high academic standards.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
12 January 2008
Listed Since
02 February 2007

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