Curvature Measures of Singular Sets (Springer Monographs in Mathematics) - Image 1

£82.35

Springer Curvature Measures of Singular Sets (Springer Monographs in Mathematics)

Name: Curvature Measures of Singular Sets (Springer Monographs in Mathematics)
Brand: Springer
Price: 82.35 GBP
Availability: InStock

Mathematical Analysis

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Description

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3030181855
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 14 August 2020
Listed Since: 15 June 2020

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Springer Curvature Measures of Singular Sets (Springer Monographs in Mathematics)

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