259 Pages
by
Chapman & Hall
259 Pages
by
Chapman & Hall
259 Pages
by
Chapman & Hall
Also available as eBook on:
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... Read more
DYADIC FIGURES: Preliminaries. Divergence Theorem for Dyadic Figures. Removable Singularities. SETS OF FINITE PERIMETER: Perimeter. BV Functions. Locally BV Sets. THE DIVERGENCE THEOREM: Bounded Vector Fields. Unbounded Vector Fields. Mean Divergence. Charges. The Divergence Equation.
Biography
Pfeffer, Washek F.
