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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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, �2000.
Edition:3rd ed.
Subjects:
Geometric measure theory.
Th�eorie de la mesure g�eom�etrique.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Geometric measure theory
Analytic geometry
Online Access:Texto completo
Table of Contents:
  • 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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