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Sets of finite perimeter and geometr...

Maggi, Francesco, (1978-5)

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Sets of finite perimeter and geometric variational problems = an introduction to geometric measure theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sets of finite perimeter and geometric variational problems/ Francesco Maggi, Universita degli Studi di Firenze, Italy.
Reminder of title:	an introduction to geometric measure theory /
remainder title:	Sets of Finite Perimeter & Geometric Variational Problems
Author:	Maggi, Francesco,
Published:	Cambridge :Cambridge University Press, : 2012.,
Description:	xix, 454 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Geometric measure theory. -
Online resource:	https://doi.org/10.1017/CBO9781139108133
ISBN:	9781139108133

Sets of finite perimeter and geometric variational problems = an introduction to geometric measure theory /
Maggi, Francesco,1978-5

Sets of finite perimeter and geometric variational problemsan introduction to geometric measure theory /[electronic resource] :Sets of Finite Perimeter & Geometric Variational ProblemsFrancesco Maggi, Universita degli Studi di Firenze, Italy. - Cambridge :Cambridge University Press,2012. - xix, 454 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;135. - Cambridge studies in advanced mathematics ;135..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9781139108133Subjects--Topical Terms:

522210
Geometric measure theory.

LC Class. No.: QA312 / .M278 2012

Dewey Class. No.: 515.42

Sets of finite perimeter and geometric variational problems = an introduction to geometric measure theory /
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245 1 0 $a Sets of finite perimeter and geometric variational problems $h [electronic resource] : $b an introduction to geometric measure theory / $c Francesco Maggi, Universita degli Studi di Firenze, Italy.
246 3 $a Sets of Finite Perimeter & Geometric Variational Problems
260 $a Cambridge : $b Cambridge University Press, $c 2012.
300 $a xix, 454 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 135
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Geometric measure theory. $3 522210
830 0 $a Cambridge studies in advanced mathematics ; $v 135. $3 3470394
856 4 0 $u https://doi.org/10.1017/CBO9781139108133