Geometric measure theory

Author: HERBERT FEDERER
Publisher:
Publish Date: 2004-11-01
Features: This book aims to fill the need for a comprehensive treatise on geometric measure theory. It contains a detailed exposition leading from the foundations of the theory to the most recent discoveries, including many results not previously published. It is intended both as a reference book for mature mathematicians and as a textbook for able students. The material of Chapter 2 can be covered in a first-year graduate course on real analysis. Study of the later chapters is suitable preparation for research. Some knowledge of elementary set theory, topology, linear algebra, and commutative ring theory is prerequisite for reading this book, but the treatment is self-contained with regard to all those topics in multilinear algebra, analysis, differential geometry, and algebraic topology which occur. This book is in English. This book presents the content of geometric measure theory in a comprehensive and systematic manner in the form of an English edition.