Rectifiable Sets, Densities and Tangent Measures (Zurich Lectures in Advanced Mathematics)



Rectifiable Sets, Densities and Tangent Measures (Zurich Lectures in Advanced Mathematics)
European Mathematical Society; 7 edition (March 15, 2008) | ISBN: 3037190442 | 134 pages | File type: PDF | 2 mb

The characterization of rectifiable sets through the existence of densities is a pearl of geometric measure theory. The difficult proof, due to Preiss, relies on many beautiful and deep ideas and novel techniques. Some of them have already proven useful in other contexts, whereas others have not yet been exploited. These notes give a simple and short presentation of the former and provide some perspective of the latter. This text emerged from a course on rectifiability given at the University of Zurich. It is addressed both to researchers and students; the only prerequisite is a solid knowledge in standard measure theory. The first four chapters give an introduction to rectifiable sets and measures in Euclidean spaces, covering classical topics such as the area formula, the theorem of Marstrand and the most elementary rectifiability criterions. The fifth chapter is dedicated to a subtle rectifiability criterion due to Marstrand and generalized by Mattila, and the last three focus on Preiss' result. The aim is to provide a self-contained reference for anyone interested in an overview of this fascinating topic.


http://www.filesonic.com/file/47038193/9783037190449-01.pdf



[Fast Download] Rectifiable Sets, Densities and Tangent Measures (Zurich Lectures in Advanced Mathematics)


Related eBooks:
Instructor's Solutions Manual to Calculus & Its Applications
Deterministic Network Calculus
An Accelerated Solution Method for Two-Stage Stochastic Models in Disaster Management
Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theo
Computational Aspects of General Equilibrium Theory: Refutable Theories of Value
Epidemics: Models and Data using R
Introduction à la théorie des points critiques: et applications aux problèmes elliptiques (Mathé
Introduction to Real Analysis
Towards Higher Mathematics: A Companion
Mathematics of the Discrete Fourier Transform (DFT)
A Set of Examples of Global and Discrete Optimization: Applications of Bayesian Heuristic Approach
Fractional Dynamics: Recent Advances
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.