Geometric Integration Theory
This textbook introduces geometric measure theory through the notion of currents. Currents continuous linear functionals on spaces of differential forms are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions...
שמור ב:
| Auteurs principaux: | , |
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| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Boston :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| סדרה: | Cornerstones
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| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
L'impression du document génère 339 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric integration theory, Steven G. Krantz, Harold R. Parks, 2008, Boston (Mass.), Birkhäuser, 1 vol. (XIII-339 p.), Cornerstones, 978-0-8176-4676-9 |
| סיכום: | This textbook introduces geometric measure theory through the notion of currents. Currents continuous linear functionals on spaces of differential forms are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics * Provides considerable background material for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers |
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| תאור פריט: | L'impression du document génère 339 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ביבליוגרפיה: | Bibliogr. Index |
| ISBN: | 9780817646790 |
| גישה: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |