| Description |
1 online resource (viii, 145 pages) : illustrations |
| 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 |
| Summary |
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 chapter on soap bubbles |
| Analysis |
Analytic geometry |
| Bibliography |
Includes bibliographical references (pages 135-137) |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
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Print version record |
| Subject |
Geometric measure theory.
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Geometric measure theory
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Geometrische Maßtheorie
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Geometric measure theory.
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| Form |
Electronic book
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| ISBN |
9780125068550 |
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0125068557 |
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9781483277806 |
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1483277801 |
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