- 175 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
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.
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Yes, you can access Geometric Measure Theory by Frank Morgan in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Geometric Measure Theory: A Beginner's Guide
- Copyright Page
- Table of 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 TheoremThe
- CHAPTER 8. Survey of Regularity Results
- CHAPTER 9. Monotonicity and Oriented Tangent Cones
- CHAPTER 10. The Regularity of Area-Minimizing Hypersurfaces
- CHAPTER 11. Flat Chains Modulo v, Varifolds, and (M,e,D)-Minimal Sets
- CHAPTER 12. Miscellaneous Useful Results
- CHAPTER 13. Soap Bubble Clusters
- Solutions to Exercises
- Bibliography
- Index of Symbols
- Name Index
- Subject Index