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| GEOMETRIC MEASURE THEORY
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A Beginner's Guide
To order this title, and for more information, click here
Fourth Edition
By
Frank Morgan, Williams College, Williamstown, MA, USA
Description
Geometric measure theory provides the framework to understand the structure of a crystal, a soap bubble cluster, or a universe. Measure
Theory: A Beginner's Guide is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and
mathematicians working in the field. Morgan emphasizes geometry over proofs and technicalities providing a fast and efficient insight
into many aspects of the subject.
Audience
Advanced graduate students and researchers in mathematics.
Contents
Geometric Measure Theory
Measures
Lipschitz Functions and Rectifiable Sets
Normal and Rectifiable Currents
The Compactness Theorem and
the Existence of Area-Minimizing Surfaces
Examples of Area-Minimizing Surfaces
The Approximation Theorem
Survey of Regularity Results
Monotonicity and Oriented Tangent Cones
The Regularity of Area-Minimizing Hypersurfaces
Flat Chains Modulo v, Varifolds, and (M,E,)-Minimal
Sets
Miscellaneous Useful Results
Soap Bubble Clusters
Proof of Double Bubble Conjecture
The Hexagonal Honeycomb and Kelvin Conjectures
Immiscible Fluids and Crystals
Isoperimetric Theorems in General Codimension
Manifolds with Density and Perelman's Proof of the Poincare
Conjecture
Double Bubbles in Spheres, Gauss Space, and Tori
Solutions to Exercises
| Bibliographic details |
Hardbound, 264 pages, publication date: SEP-2008
ISBN-13: 978-0-12-374444-9
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
USD 79.95
EUR 56.95
GBP 47.99
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Last update: 5 Sep 2009
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