The Divergence Theorem and Sets of Finite Perimeter

by Washek F. Pfeffer

Book Overview

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration -- no generalized Riemann integrals of Henstock-Kurzweil variety are involved.

In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral and Hausdorff measures are used. The resulting integration by parts is sufficiently...

• Format: Paperback
• Language: English
• ISBN: 0367381516
• ISBN13: 9780367381516
• Release Date: September 2019
• Publisher: CRC Press
• Length: 259 Pages
• Weight: 0.70 lbs.
• Dimensions: 0.8" x 6.1" x 9.1"