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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| Những tác giả chính: | , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Boston :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Loạt: | Cornerstones
|
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
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 |
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| 100 | 1 | |a Krantz, Steven G., |d 1951-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Geometric Integration Theory |c Steven G. Krantz, Harold R. Parks. |
| 260 | |a Boston : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Cornerstones | |
| 500 | |a L'impression du document génère 339 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Théorie de la mesure | ||
| 650 | |a Intégrales de Haar | ||
| 650 | |a Mesures de Hausdorff | ||
| 650 | |a Lebesgue, Intégrale de | ||
| 650 | |a Calcul des variations | ||
| 700 | 1 | |a Parks, Harold R., |d 1949- |4 aut | |
| 776 | 0 | |0 127314881 |t Geometric integration theory |f Steven G. Krantz, Harold R. Parks |d 2008 |c Boston (Mass.) |n Birkhäuser |p 1 vol. (XIII-339 p.) |s Cornerstones |z 978-0-8176-4676-9 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-4679-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9ZQZ6T3W-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747854491 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-0-8176-4679-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750871997 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-0-8176-4679-0 |z Accès INSA CVL | |
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