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Author : F. Bethuel
Release : 1995
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Lecture Notes on Geometric Measure Theory and Geometrical Variational Problems by : F. Bethuel
Download or read book Lecture Notes on Geometric Measure Theory and Geometrical Variational Problems written by F. Bethuel. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francesco Maggi
Release : 2012-08-09
Genre : Mathematics
Kind : eBook
Book Rating : 891/5 ( reviews)
Book Synopsis Sets of Finite Perimeter and Geometric Variational Problems by : Francesco Maggi
Download or read book Sets of Finite Perimeter and Geometric Variational Problems written by Francesco Maggi. This book was released on 2012-08-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Leon Simon
Release : 1984
Genre : Geometric measure theory
Kind : eBook
Book Rating : 290/5 ( reviews)
Book Synopsis Lectures on Geometric Measure Theory by : Leon Simon
Download or read book Lectures on Geometric Measure Theory written by Leon Simon. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Galia Devora Dafni
Release : 2013
Genre : Mathematics
Kind : eBook
Book Rating : 188/5 ( reviews)
Book Synopsis Analysis and Geometry of Metric Measure Spaces by : Galia Devora Dafni
Download or read book Analysis and Geometry of Metric Measure Spaces written by Galia Devora Dafni. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 summer school was devoted to the analysis and geometry of metric measure spaces, and featured much interplay between this subject and the emergent topic of optimal transportation.
Author : Steven G. Krantz
Release : 2008-12-15
Genre : Mathematics
Kind : eBook
Book Rating : 795/5 ( reviews)
Book Synopsis Geometric Integration Theory by : Steven G. Krantz
Download or read book Geometric Integration Theory written by Steven G. Krantz. This book was released on 2008-12-15. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
