Item Details
Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory
Francesco Maggi, Universita degli Studi di Firenze, Italy
 Format
 Book
 Published
 Cambridge : Cambridge University Press, 2012.
 Language
 English
 Series
 Cambridge Studies in Advanced Mathematics
 ISBN
 9781107021037, 1107021030
 Related Resources
 Cover image Contributor biographical information Publisher description Table of contents only
 Summary
 "The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of areaminimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduatelevel textbook suitable for selfstudy and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory"
 Contents
 Machine generated contents note: 1. Radon measures on Rn; 2. Sets of finite perimeter; 3. Regularity theory and analysis of singularities; 4. Minimizing clusters.
 Description
 xix, 454 pages : illustrations ; 24 cm
 Notes
 Includes bibliographical references and index.
 Series Statement
 Cambridge studies in advanced mathematics ; 135
 Cambridge studies in advanced mathematics 135
 Technical Details

 Access in Virgo Classic
 Staff View
LEADER 03016cam a22004338i 4500001 u5823422003 SIRSI005 20121024082715.0008 120511s2012 enk b 001 0 enga 2012018822a 9781107021037a 1107021030a (OCoLC)785068263a DLC e rda b eng c DLC d BTCTA d OCLCO d CDX d BDX d YDXCP d CLSa pcca QA312 b .M278 2012a 515/.42 2 23a MAT034000 2 bisacsha Maggi, Francesco, d 1978a Sets of finite perimeter and geometric variational problems : b an introduction to geometric measure theory / c Francesco Maggi, Universita degli Studi di Firenze, Italy.a Cambridge : b Cambridge University Press, c 2012.a xix, 454 pages : b illustrations ; c 24 cma text 2 rdacontenta unmediated 2 rdamediaa volume 2 rdacarriera Cambridge studies in advanced mathematics ; v 135a "The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of areaminimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduatelevel textbook suitable for selfstudy and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory" c Provided by publisher.a Includes bibliographical references and index.a Machine generated contents note: 1. Radon measures on Rn; 2. Sets of finite perimeter; 3. Regularity theory and analysis of singularities; 4. Minimizing clusters.a Geometric measure theory.3 Cover image u http://proxy01.its.virginia.edu/login?url=http://assets.cambridge.org/97811070/21037/cover/9781107021037.jpg3 Contributor biographical information u http://catdir.loc.gov/catdir/enhancements/fy1210/2012018822b.html3 Publisher description u http://catdir.loc.gov/catdir/enhancements/fy1210/2012018822d.html3 Table of contents only u http://catdir.loc.gov/catdir/enhancements/fy1210/2012018822t.htmla Cambridge studies in advanced mathematics v 135.a Z0 b VA@a 8a QA312 .M278 2012 w LC i X030852674 l STACKS m MATH t BOOK
Availability
Library  Location  Map  Availability  Call Number 

Math  Stacks  N/A  Available 
QA312 .M278 2012 