Shopping Cart
0 Item in Cart

The Divergence Theorem and Sets of Finite Perimeter
Click for related books: Washek F. Pfeffer

Rating  
(80 Ratings)

Retail Price: 4995.00/-
Price: 4496.00/-
Inclusive all taxes
10.00% OFF
Sold By: Store4Advocate

Offer 1: Get 10.00% + Flat ₹ 50 discount on shopping of ₹ 1500
                use code:
MPSTK50

Offer 2: Get 10.00% + Flat ₹ 150 discount on shopping of
                ₹ 5000 use code:
MPSTK150

Free Shipping (for orders above ₹ 499)  *T&C apply.

Out of Stock Click For New Edition



Description

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 general for many applications. As an example, it is applied to removable singularities of Cauchy–Riemann, Laplace, and minimal surface equations. The sets of finite perimeter are introduced in Part II. Both the geometric and analytic points of view are presented. The equivalence of these viewpoints is obtained via the functions of bounded variation. These functions are studied in a self-contained manner with no references to Sobolev’s spaces. The coarea theorem provides a link between the sets of finite perimeter and functions of bounded variation. The general divergence theorem for bounded vector fields is proved in Part III. The proof consists of adapting the combinatorial argument of Part I to sets of finite perimeter. The unbounded vector fields and mean divergence are also discussed. The final chapter contains a characterization of the distributions that are equal to the flux of a continuous vector field.

More Details About The Divergence Theorem and Sets of Finite Perimeter
General Information
Author(s)Washek F. Pfeffer
PublisherT&F
ISBN9781466507197
Pages259
BindingHardcover
LanguageEnglish
Publish YearJanuary 2014
Reviews of The Divergence Theorem and Sets of Finite Perimeter
Average Rating

Write A Review

TOP REVIEWS


Top Reviews lists the most relevant product reviews only.


RECENT TOP REVIEWS