Geometric Measure Theory, Fourth Edition: A Beginner's Guide
by Frank Morgan /
2008 / English / PDF
5.7 MB Download
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.
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:
New to the 4th edition:* Abundant illustrations, examples, exercises, and solutions.
* Abundant illustrations, examples, exercises, and solutions.* The latest results on soap bubble clusters,
* The latest results on soap bubble clusters,including a new chapter on "Double Bubbles in
including a new chapter on "Double Bubbles inSpheres, Gauss Space, and Tori."
Spheres, Gauss Space, and Tori."* A new chapter on "Manifolds with Density and
* A new chapter on "Manifolds with Density andPerelman's Proof of the Poincaré Conjecture."
Perelman's Proof of the Poincaré Conjecture."* Contributions by undergraduates.
* Contributions by undergraduates.
