几何测度论：第4版
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作者： （美）摩根著
出 版 社： 世界图书出版公司
出版时间： 2009-5-1字数：版次： 1页数： 248印刷时间：开本： 16开印次：纸张：I S B N ： 9787506292085包装： 平装目录
Preface
1Geometric Measure Theory
2Measures
3Lipschitz Functions and Rectifiable Sets
4Normal and Rectifiable Currents
5The Compactness Theorem and the Existence of Area-Minimizing Surfaces
6Examples of Area-Minimizing Surfaces
7The Approximation Theorem
8Survey of Regularity Results
9Monotonicity and Oriented Tangent Cones
10 The Regularity of Area-Minimizing Hypersurfaces
11Flat Chains Modulo v Varifolds, and-Minimal Sets
12 Miscellaneous Useful Results
13Soap Bubble Clusters
14 Proof of Double Bubble Conjecture
15 The Hexagonal Honeycomb and Kelvin Conjectures
16Immiscible Fluids and Crystals
17Isoperimetric Theorems in General Codimension
18Manifolds with Density and Perelman's Proof of the Poincare Conjecture
19Double Bubbles in Spheres, Gauss Space, and Tori
Solutions to Exercises
Bibliography
Index of Symbols
Name Index
Subject Index
