Geometric measure theory : a beginner's guide /

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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: San Diego : Academic Press, ©2000.
Edición:3rd ed.
Temas:
Geometric measure theory.
Théorie de la mesure géométrique.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Geometric measure theory
Analytic geometry
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface. Geometric Measure Theory. Measures. Lipschitz Functions and Rectifiable Sets. Normal and Rectifiable Currents. The Compactness Theorem and the Existence of Area-Minimizing Surfaces. Examples of Area-Minimizing Surfaces. The Approximation Theorem. Survey of Regularity Results. Monotonicity and Oriented Tangent Cones. The Regularity of Area-Minimizing Hypersurfaces. Flat Chains Modulo v, Varifolds, and (M, E,)-Minimal Sets. Miscellaneous Useful Results. Soap Bubble Clusters. Proof of Double Bubble Conjecture. The Hexagonal Honeycomb and Kelvin Conjectures. Immiscible Fluids and Crystals. Isoperimetric Theorems in General Codimension. Solutions to Exercises. Bibliography. Index of Symbols. Name Index. Subject Index.

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