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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2012.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
135. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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"-- |
| Beschreibung: | 1 online resource (xix, 454 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 445-452) and index. |
| ISBN: | 9781139554695 1139554697 9781139549738 1139549731 9781139552233 1139552236 9781139108133 1139108131 9786613887405 6613887404 9781107471726 1107471729 |
Internformat
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| 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. |
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| 264 | 4 | |c ©2012 | |
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| 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 | ||
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| author | Maggi, Francesco, 1978- |
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| author_facet | Maggi, Francesco, 1978- |
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| collection | ZDB-4-EBA |
| contents | Radon measures on Rn -- Sets of finite perimeter -- Regularity theory and analysis of singularities -- Minimizing clusters. |
| ctrlnum | (OCoLC)808422791 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.42 |
| dewey-search | 515/.42 |
| dewey-sort | 3515 242 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn808422791 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:24:55Z |
| institution | BVB |
| isbn | 9781139554695 1139554697 9781139549738 1139549731 9781139552233 1139552236 9781139108133 1139108131 9786613887405 6613887404 9781107471726 1107471729 |
| language | English |
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| open_access_boolean | |
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| series | Cambridge studies in advanced mathematics ; |
| series2 | Cambridge studies in advanced mathematics ; |
| spelling | Maggi, Francesco, 1978- author. https://id.oclc.org/worldcat/entity/E39PBJghvFk48KP39pJ76Mp9Dq http://id.loc.gov/authorities/names/n2012032000 Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / Francesco Maggi, Università degli Studi di Firenze, Italy. Cambridge : Cambridge University Press, 2012. ©2012 1 online resource (xix, 454 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 135 Includes bibliographical references (pages 445-452) and index. Radon measures on Rn -- Sets of finite perimeter -- Regularity theory and analysis of singularities -- Minimizing clusters. "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"-- Provided by publisher Print version record. Geometric measure theory. http://id.loc.gov/authorities/subjects/sh85054124 Théorie de la mesure géométrique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Teoría de la medida embne Geometric measure theory fast Geometrische Maßtheorie gnd http://d-nb.info/gnd/4125258-5 has work: Sets of finite perimeter and geometric variational problems (Text) https://id.oclc.org/worldcat/entity/E39PCGDbVM98qHyTvxVym8r3pK https://id.oclc.org/worldcat/ontology/hasWork Print version: Maggi, Francesco, 1978- Sets of finite perimeter and geometric variational problems. New York : Cambridge University Press, 2012 9781107021037 (DLC) 2012018822 (OCoLC)785068263 Cambridge studies in advanced mathematics ; 135. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=473190 Volltext |
| spellingShingle | Maggi, Francesco, 1978- Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / Cambridge studies in advanced mathematics ; Radon measures on Rn -- Sets of finite perimeter -- Regularity theory and analysis of singularities -- Minimizing clusters. Geometric measure theory. http://id.loc.gov/authorities/subjects/sh85054124 Théorie de la mesure géométrique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Teoría de la medida embne Geometric measure theory fast Geometrische Maßtheorie gnd http://d-nb.info/gnd/4125258-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054124 http://d-nb.info/gnd/4125258-5 |
| title | Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / |
| title_auth | Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / |
| title_exact_search | Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / |
| title_full | Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / Francesco Maggi, Università degli Studi di Firenze, Italy. |
| title_fullStr | Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / Francesco Maggi, Università degli Studi di Firenze, Italy. |
| title_full_unstemmed | Sets of finite perimeter and geometric variational problems : an introduction to geometric measure theory / Francesco Maggi, Università degli Studi di Firenze, Italy. |
| title_short | Sets of finite perimeter and geometric variational problems : |
| title_sort | sets of finite perimeter and geometric variational problems an introduction to geometric measure theory |
| title_sub | an introduction to geometric measure theory / |
| topic | Geometric measure theory. http://id.loc.gov/authorities/subjects/sh85054124 Théorie de la mesure géométrique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Teoría de la medida embne Geometric measure theory fast Geometrische Maßtheorie gnd http://d-nb.info/gnd/4125258-5 |
| topic_facet | Geometric measure theory. Théorie de la mesure géométrique. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Teoría de la medida Geometric measure theory Geometrische Maßtheorie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=473190 |
| work_keys_str_mv | AT maggifrancesco setsoffiniteperimeterandgeometricvariationalproblemsanintroductiontogeometricmeasuretheory |