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Geometric Measure Theory : a Beginner's Guide.

Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involvi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Morgan, Frank (Professor of Mathematics, Williams College)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Burlington : Elsevier, 2000.
Edición:3rd ed.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Geometric Measure Theory; Copyright Page; Contents; Preface; Chapter 1. Geometric Measure Theory; Chapter 2. Measures; Chapter 3. Lipschitz Functions and Rectifiable Sets; Chapter 4. Normal and Rectifiable Currents; Chapter 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; Chapter 6. Examples of Area-Minimizing Surfaces; Chapter 7. The Approximation Theorem; Chapter 8. Survey of Regularity Results; Chapter 9. Monotonicity and Oriented Tangent Cones; Chapter 10. The Regularity of Area-Minimizing Hypersurfaces.