Geometric measure theory : a beginner's guide /

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Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography. This Second Edition features a new chapte...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Morgan, Frank (Professor of Mathematics, Williams College)
Format: Électronique eBook
Langue:Inglés
Publié: Boston : Academic Press, ©1988.
Sujets:
Geometric measure theory.
Théorie de la mesure géométrique.
Geometric measure theory
Geometrische Maßtheorie
Analytic geometry
Accès en ligne:Texto completo
Table des matières:
  • 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 [upsilon], Varifolds, and (M, [varepsilon], [delta])-Minimal Sets
  • Soap Bubble Clusters
  • Proof of Double Bubble Conjecture
  • The Hexagonal Honeycomb and Kelvin Conjectures
  • Immiscible Fluids and Crystals
  • Isoperimetric Theorems in General Codimension.

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