| Edition |
2nd ed. |
| Description |
1 online resource (ix, 173 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file rdaft http://rdaregistry.info/termList/fileType/1002. |
| Bibliography |
Includes bibliographical references (pages 157-164) and indexes. |
| 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. |
| Access |
Use copy Restrictions unspecified star MiAaHDL |
| Reproduction |
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL |
| System Details |
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 |
| Processing Action |
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Note |
Print version record. |
| 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 and abundant illustrations and examples. This Second Edition features a new chapter on soap bubbles as well as updated sections addressing volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results. The text will introduce newcomers to the field and appeal to mathematicians working in the field. |
| Subject |
Geometric measure theory.
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Théorie de la mesure géométrique.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Geometric measure theory
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Geometrische Maßtheorie
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Geometria diferencial (textos elementares)
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Medida e integração (análise)
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Calculo de variações.
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Géométrie différentielle.
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Geometric measure theory.
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| Indexed Term |
Analytic geometry |
| Other Form: |
Print version: Morgan, Frank. Geometric measure theory. 2nd ed. San Diego : Academic Press, ©1995 (DLC) 94024913 (OCoLC)31295264 |
| ISBN |
0125068573 (electronic bk.) |
|
9780125068574 (electronic bk.) |
|
9781483296647 |
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1483296644 |
| Standard No. |
(WaSeSS)ssj0001266854 |
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AU@ 000055746861 |
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DEBBG BV043615679 |
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DEBSZ 431868670 |
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NZ1 15917975 |
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