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Geometric measure theory Book

Geometric measure theory
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 has a rating of 4.5 stars
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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
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  • Geometric measure theory
  • Written by author James F. Bredt
  • Published by San Diego : Academic Press, c2000., 2000/08/22
  • 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
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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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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

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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

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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

Geometric measure theory

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