کتاب دانلود کتب لاتین علوم مهندسیریاضی
معیار های خمیدگی مجموعه های مفرد
معیار های خمیدگی مجموعه های مفرد

Curvature Measures of Singular Sets
سال انتشار: 2019
تعداد صفحات: 261
زبان فایل: انگلیسی
فرمت فایل: pdf
حجم فایل: 3MB
رمز فایل: www.ketabdownload.com
قیمت: 190,000ريال

افزودن به سبد دانلود

Publisher : Springe

ISBN-10 : 3030181855, 3030181820

ISBN-13 : 978-3030181857, 978-3030181826

ASIN : B07XTGZ23D

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.