Geometric Measure Theory: A Beginner's Guide provides information
pertinent to the development of geometric measure theory. This book
presents a few fundamental arguments and a superficial discussion of
the regularity theory. Organized into 12 chapters, this book begins
with an overview of the purpose and fundamental concepts of geometric
measure theory. This text then provides the measure-theoretic
foundation, including the definition of Hausdorff measure and covering
theory. Other chapters consider the m-dimensional surfaces of
geometric measure theory called rectifiable sets and introduce the two
basic tools of the regularity theory of area-minimizing surfaces. This
book discusses as well the fundamental theorem of geometric measure
theory, which guarantees solutions to a wide class of variational
problems in general dimensions. The final chapter deals with the basic
methods of geometry and analysis in a generality that embraces
manifold applications. This book is a valuable resource for graduate
students, mathematicians, and research workers.
Les mer
A Beginner's Guide
Produktdetaljer
ISBN
9781483277806
Publisert
2016
Utgiver
Elsevier S & T
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter