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Curvature Measures Of Singular Sets 1st Ed Jan Rataj Martina Zhle

  • SKU: BELL-10487756
Curvature Measures Of Singular Sets 1st Ed Jan Rataj Martina Zhle
$ 31.00 $ 45.00 (-31%)

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Curvature Measures Of Singular Sets 1st Ed Jan Rataj Martina Zhle instant download after payment.

Publisher: Springer International Publishing
File Extension: PDF
File size: 3.37 MB
Author: Jan Rataj, Martina Zähle
ISBN: 9783030181826, 9783030181833, 3030181820, 3030181839
Language: English
Year: 2019
Edition: 1st ed.

Product desciption

Curvature Measures Of Singular Sets 1st Ed Jan Rataj Martina Zhle by Jan Rataj, Martina Zähle 9783030181826, 9783030181833, 3030181820, 3030181839 instant download after payment.

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.

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