عنوان

Sets of finite perimeter and geometric variational problems :

شابک

1107021030

شابک

9781107021037

شماره

dltt

عنوان اصلي

Sets of finite perimeter and geometric variational problems :

نام عام مواد

[Book]

ساير اطلاعات عنواني

an introduction to geometric measure theory /

نام نخستين پديدآور

Francesco Maggi, Universita degli Studi di Firenze, Italy

تاريخ

1209

نام خاص و کميت اثر

xix, 454 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

Cambridge studies in advanced mathematics ;

مشخصه جلد

135

متن يادداشت

Includes bibliographical references and index

متن يادداشت

"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"--

موضوع مستند نشده

Geometric measure theory

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Maggi, Francesco,1978-

تاريخ عمليات

20141128184421.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y