Synopses & Reviews
A modern treatment of the classical problem of derivation and integration, with applications to the Gauss-Green and Stokes theorems.
Synopsis
This book approaches the classical problem of derivation and integration from the modern point of view. It combines the techniques of analysis with certain parts of geometric measure theory. The main applications are related to the Gauss-Green and Stokes theorems. The author presents many new results, which are proved in detail, and includes background material and precise references to well-known results, making the treatment accessible to graduate students and researchers in functional analysis and geometric measure theory.
Description
Includes bibliographical references (p. 255-258) and index.
Table of Contents
Preface; Acknowledgments; 1. Preliminaries; 2. Charges; 3. Variations of charges; 4. Charges and BV functions; 5. Integration; 6. Extending the integral; Bibliography; List of symbols; Index.