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Geometric Measure Theory by Herbert Federer is a nonfiction available to read on EtoBox.

What is Geometric Measure Theory about?

During the last three decades the subject of geometric measure theoryhas developed from a collection of isolated special results into a cohesivebody of basic knowledge with an ample natural structure of its own, andwith strong ties to many other parts of mathematics. These advances havegiven us deeper perception of the analytic and topological foundationsof geometry, and have provided new direction to the calculus of varia-tions. Recently the methods of geometric measure theory have led to verysubstantial progress in the study of quite general elliptic variationalproblems, including the multidimensional problem of least area.This book aims to fill the need for a comprehensive treatise on geo-metric measure theory. It contains a detailed exposition leading from thefoundations of the theory to the most recent discoveries, including manyresults not previously published. It is intended both as a reference bookfor mature mathematicians and as a textbook for able students. Thematerial of Chapter 2 can be covered in a first year graduate course onreal analysis. Study of the later chapters is suitable preparation for re-search. Some knowledge of elementary set theory, topology, linear alge

Who reads Geometric Measure Theory?

Author

Herbert Federer

Published

1969

Language

EN

Category

nonfiction

Subjects

Mathematics, Mathematical Theory, Stem