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...
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| Главные авторы: | , |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Boston :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Серии: | Cornerstones
|
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
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 |
Оглавление:
- Basics Carathéodory s Construction and Lower-Dimensional Measures Invariant Measures and the Construction of Haar Measure. Covering Theorems and the Differentiation of Integrals Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities. The Calculus of Differential Forms and Stokes s Theorem to Currents Currents and the Calculus of Variations Regularity of Mass-Minimizing Currents