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Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory /
"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 t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | Cambridge studies in advanced mathematics ;
135. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Maggi, Francesco, |d 1978- |e author. | |
| 245 | 1 | 0 | |a Sets of finite perimeter and geometric variational problems : |b an introduction to geometric measure theory / |c Francesco Maggi, Università degli Studi di Firenze, Italy. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2012. | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (xix, 454 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 135 | |
| 504 | |a Includes bibliographical references (pages 445-452) and index. | ||
| 505 | 0 | |a Radon measures on Rn -- Sets of finite perimeter -- Regularity theory and analysis of singularities -- Minimizing clusters. | |
| 520 | |a "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 area-minimizing hypersurfaces up to singular sets of codimension. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduate-level textbook suitable for self-study and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory"-- |c Provided by publisher | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Geometric measure theory. | |
| 650 | 6 | |a Théorie de la mesure géométrique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Teoría de la medida |2 embne | |
| 650 | 7 | |a Geometric measure theory |2 fast | |
| 650 | 7 | |a Geometrische Maßtheorie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Maggi, Francesco, 1978- |t Sets of finite perimeter and geometric variational problems. |d New York : Cambridge University Press, 2012 |z 9781107021037 |w (DLC) 2012018822 |w (OCoLC)785068263 |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 135. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=473190 |z Texto completo |
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