Geometric measure theory : a beginner's guide /

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Morgan, Frank (Professor of Mathematics, Williams College)
Format: Electronic eBook
Language:Inglés
Published: Boston : Academic Press, �1988.
Subjects:
Geometric measure theory.
Th�eorie de la mesure g�eom�etrique.
Geometrische Ma�theorie
Analytic geometry
Online Access:Texto completo
Table of Contents:
  • 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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