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RECTIFIABLE SETS, DENSITIES AND TANGENT MEASURES 9783037190449 Camillo De Lellis

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Item specifics

Condition
Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
Type
Paperback
Publication Name
European Mathematical Society
Item Height
9.5 inches
ISBN-10
3037190442
Item Length
6.75 inches
Item Width
0.25 inches
Item Weight
0.62 pounds
ISBN
9783037190449

About this product

Product Identifiers

Publisher
European Mathematical Society
ISBN-10
3037190442
ISBN-13
9783037190449
eBay Product ID (ePID)
92316586

Product Key Features

Book Title
Rectifiable Sets, Densities and Tangent Measures
Publication Year
2008
Number of Pages
134 Pages
Language
English
Author
Camillo D. Lellis
Book Series
Zurich Lectures in Advanced Mathematics Ser.
Format
Trade Paperback

Additional Product Features

Series Volume Number
7
Synopsis
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.

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