Geometric Measure Theory

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 t [...]
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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. New to the 4th edition are as mentioned below. It features: abundant illustrations, examples, exercises, and solutions; the latest results on soap bubble clusters, including a new chapter on 'Double Bubbles in Spheres, Gauss Space, and Tori'; a new chapter on 'Manifolds with Density and Perelman's Proof of the Poincare Conjecture'; and, contributions by undergraduates.