The Leading eBooks Store Online

for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, BlackBerry ...

New to eBooks.com?

Learn more

Sets of Finite Perimeter and Geometric Variational Problems

An Introduction to Geometric Measure Theory

Sets of Finite Perimeter and Geometric Variational Problems by Francesco Maggi
Add to cart
US$ 72.00
The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of area-minimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduate-level textbook suitable for self-study and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory.
Cambridge University Press; August 2012
480 pages; ISBN 9781139564526
Read online, or download in secure EPUB or secure PDF format
Title: Sets of Finite Perimeter and Geometric Variational Problems
Author: Francesco Maggi
 
Buy, download and read Sets of Finite Perimeter and Geometric Variational Problems (eBook) by Francesco Maggi today!
ISBNs
1139558447
9781107021037
9781139558440
9781139564526