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 and abundant illustrations and examples. T...

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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: San Diego : Academic Press, �1995.
Edition:2nd ed.
Subjects:
Geometric measure theory.
Th�eorie de la mesure g�eom�etrique.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Geometric measure theory
Geometrische Ma�theorie
Geometria diferencial (textos elementares)
Medida e integra�c�ao (an�alise)
Calculo de varia�c�oes.
G�eom�etrie diff�erentielle.
Analytic geometry
Online Access:Texto completo
Table of Contents:
  • 1. Geometric Measure Theory
  • 2. Measures
  • 3. Lipschitz Functions and Rectifiable Sets
  • 4. Normal and Rectifiable Currents
  • 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces
  • 6. Examples of Area-Minimizing Surfaces
  • 7. The Approximation Theorem
  • 8. Survey of Regularity Results
  • 9. Monotonicity and Oriented Tangent Cones
  • 10. The Regularity of Area-Minimizing Hypersurfaces
  • 11. Flat Chains Modulo [nu], Varifolds, and ([mu, epsilon, delta])-Minimal Sets
  • 12. Miscellaneous Useful Results
  • 13. Soap Bubble Clusters.

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