UID:
almafu_9958117979002883
Format:
1 online resource (239 p.)
Edition:
3rd ed.
ISBN:
1-281-02515-1
,
9786611025151
,
0-08-052560-1
Content:
Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Over the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology.This third edition of Geometric Measure Theory: A Beginner's Guide〈
Note:
Description based upon print version of record.
,
Front Cover; Geometric Measure Theory; Copyright Page; Contents; Preface; Chapter 1. Geometric Measure Theory; Chapter 2. Measures; Chapter 3. Lipschitz Functions and Rectifiable Sets; Chapter 4. Normal and Rectifiable Currents; Chapter 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; Chapter 6. Examples of Area-Minimizing Surfaces; Chapter 7. The Approximation Theorem; Chapter 8. Survey of Regularity Results; Chapter 9. Monotonicity and Oriented Tangent Cones; Chapter 10. The Regularity of Area-Minimizing Hypersurfaces
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Chapter 11. Flat Chains Modulo v, Varifolds, and (M, ε, δ)-Minimal SetsChapter 12. Miscellaneous Useful Results; Chapter 13. Soap Bubble Clusters; Chapter 14. Proof of Double Bubble Conjecture; Chapter 15. The Hexagonal Honeycomb and Kelvin Conjectures; Chapter 16. Immiscible Fluids and Crystals; Chapter 17. Isoperimetric Theorems in General Codimension; Solutions to Exercises; Bibliography; Index of Symbols; Name Index; Subject Index; Color Plate Section
,
English
Additional Edition:
ISBN 0-12-506851-4
Language:
English
