**ISBN:** 1466507195

**Author:** Washek F. Pfeffer

**Language:** English

**Publisher:** Chapman and Hall/CRC; 1 edition (April 12, 2012)

**Pages:** 259

**Category:** Mathematics

**Subcategory:** Science

**Rating:** 4.5

**Votes:** 191

**Size Fb2:** 1652 kb

**Size ePub:** 1145 kb

**Size Djvu:** 1197 kb

**Other formats:** lit mobi lrf azw

Publisher: Chapman and Hall/CRC. Publication Date: 2012. This book is devoted to a detailed development of the divergence theorem.

Publisher: Chapman and Hall/CRC. 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 general divergence theorem for bounded vector fields is proved in Part III.

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. 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

book is devoted to a detailed development of the divergence theorem.

The Divergence Theorem and Sets of Finite Perimeter Pfeffer Taylor&Francis 9781466507197 : This book is devoted to a detailed development of the divergence theorem.

The sets of finite perimeter are introduced in Part I. Published April 12th 2012 by CRC Press (first published January 1st 2012).

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 proof consists of adapting the combinatorial argument of Part I to sets of finite perimeter.

The sets of finite perimeter are introduced in Part II.

Chapman and Hall/CRC Published February 3, 2016 Reference - 259 Pages ISBN 9780429096679 - CAT KE79059. What are VitalSource eBooks? February 3, 2016 by Chapman and Hall/CRC Reference - 259 Pages ISBN 9780429096679 - CAT KE79059. The sets of finite perimeter are introduced in Part II. The framework is that of Lebesgue integration no generalized Riemann integrals of HenstockKurzweil variety are involved.

Pure and Applied Mathematics . SETS OF FINITE PERIMETER Perimeter Measure-theoretic concepts Essential boundary Vitali’s covering theorem Density Definition of perimeter Line sections. BV Functions Variation Mollification Vector valued measures Weak convergence Properties of BV functions Approximation theorem Coarea theorem Bounded convex domains Inequalities. Locally BV Sets Dimension one Besicovitch’s covering theorem The reduced boundary Blow-up Perimeter and variation Properties of BV sets Approximating by figures.

The Divergence Theorem and Sets of Finite Perimeter. Washek F. Pfeffer, 2012. Скачать (pdf, . 2 Mb).

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. Handbook of functional equations. Functional inequalities. Themistocles M. Rassias (e.

By Washek F. Pfeffer. Cite this publication. Indiana University Bloomington. Do you want to read the rest of this article? Request full-text. What type of file do you want? RIS. BibTeX.

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.