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Book Categories |
Preface | ||
1 | Geometric Measure Theory | 1 |
2 | Measures | 9 |
3 | Lipschitz Functions and Rectifiable Sets | 23 |
4 | Normal and Rectifiable Currents | 39 |
5 | The Compactness Theorem and the Existence of Area-Minimizing Surfaces | 61 |
6 | Examples of Area-Minimizing Surfaces | 69 |
7 | The Approximation Theorem | 79 |
8 | Survey of Regularity Results | 83 |
9 | Monotonicity and Oriented Tangent Cones | 89 |
10 | The Regularity of Area-Minimizing Hypersurfaces | 97 |
11 | Flat Chains Modulo [nu], Varifolds, and ([mu, epsilon, delta])-Minimal Sets | 107 |
12 | Miscellaneous Useful Results | 113 |
13 | Soap Bubble Clusters | 121 |
Solutions to Exercises | 139 | |
Bibliography | 157 | |
Index of Symbols | 165 | |
Name Index | 169 | |
Subject Index | 171 |
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Add Geometric measure theory, Geometric measure theory provides the framework to understand the structure of a crystal, a soap bubble cluster, or a universe. Over the past forty years it has contributed to major advances in geometry and analysis, including, for example, the original p, Geometric measure theory to the inventory that you are selling on WonderClubX
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Add Geometric measure theory, Geometric measure theory provides the framework to understand the structure of a crystal, a soap bubble cluster, or a universe. Over the past forty years it has contributed to major advances in geometry and analysis, including, for example, the original p, Geometric measure theory to your collection on WonderClub |