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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2008.
|
| Edición: | 1st ed. 2008. |
| Colección: | Cornerstones,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4679-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220113070224.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817646790 |9 978-0-8176-4679-0 | ||
| 024 | 7 | |a 10.1007/978-0-8176-4679-0 |2 doi | |
| 050 | 4 | |a QA440-699 | |
| 072 | 7 | |a PBM |2 bicssc | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 072 | 7 | |a PBM |2 thema | |
| 082 | 0 | 4 | |a 516 |2 23 |
| 100 | 1 | |a Krantz, Steven G. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Geometric Integration Theory |h [electronic resource] / |c by Steven G. Krantz, Harold R. Parks. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2008. | |
| 300 | |a XVI, 340 p. 33 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Cornerstones, |x 2197-1838 | |
| 505 | 0 | |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. | |
| 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 | 0 | |a Geometry. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Convex geometry . | |
| 650 | 0 | |a Discrete geometry. | |
| 650 | 1 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Measure and Integration. |
| 650 | 2 | 4 | |a Integral Equations. |
| 650 | 2 | 4 | |a Integral Transforms and Operational Calculus. |
| 650 | 2 | 4 | |a Convex and Discrete Geometry. |
| 700 | 1 | |a Parks, Harold R. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817672102 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817646769 |
| 830 | 0 | |a Cornerstones, |x 2197-1838 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-8176-4679-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||