Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory

Francesco Maggi

ISBN 10: 1107021030 / ISBN 13: 9781107021037

Edité par Cambridge University Press, 2012

A propos de cet article

An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 480 pages, 90 b/w illus. BIC Classification: PBKL; PBMS. Category: (P) Professional & Vocational. Dimension: 157 x 230 x 29. Weight in Grams: 802. An Introduction to Geometric Measure Theory. Series: Cambridge Studies in Advanced Mathematics. 480 pages, 90 b/w illus. An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers. Cateogry: (P) Professional & Vocational. BIC Classification: PBKL; PBMS. Dimension: 157 x 230 x 29. Weight: 802. . 2012. 1st Edition. Hardcover. . . . .

N° de réf. du vendeur V9781107021037

Détails bibliographiques

• Titre: Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory
• Éditeur: Cambridge University Press
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 1107021030
• ISBN à 13 chiffres: 9781107021037
• Reliure: Couverture rigide
• Édition: Edition originale
• État de l'article: New

A propos de ce titre

Synopsis

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.

À propos de l?auteur

Francesco Maggi is an Associate Professor at the University of Texas, Austin, USA.