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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 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Sets of finite perimeter and geometric variational problems/ Francesco Maggi, Universita degli Studi di Firenze, Italy.
其他題名:	an introduction to geometric measure theory /
其他題名:	Sets of Finite Perimeter & Geometric Variational Problems
作者:	Maggi, Francesco,
出版者:	Cambridge :Cambridge University Press, : 2012.,
面頁冊數:	xix, 454 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Geometric measure theory. -
電子資源:	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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