Geometric Measure Theory - A Beginner's Guide  (English, Hardcover, Morgan Frank)

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.

Salient 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 Poincaré Conjecture."
• Contributions by undergraduates.