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 #  AuthorTitleAccn#YearItem Type Claims
1 Washek F. Pfeffer Divergence theorem and sets of finite perimeter 024787 2012 Book  
2 Peter Baxandall Vector calculus 003735 1986 Book  
3 T.A. Ramos Lecons sur le calcul vectoriel 005927 1930 Book  
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TitleDivergence theorem and sets of finite perimeter
Author(s)Washek F. Pfeffer
PublicationBoca Raton, CRC Press, 2012.
Descriptionxv, 242p.
Abstract NoteThis 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.
ISBN,Price9781466507197 : UKP 63.99(HB)
Classification517.43
Keyword(s)1. DIVERGENCE THEOREM 2. LEBESGUE INTEGRAL 3. SETS OF FINITE PERIMETER 4. VECTOR CALCULUS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
024787   517.43/PFE/024787  On Shelf    

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TitleVector calculus
Author(s)Peter Baxandall;Hans Liebeck
PublicationOxford, Clarendon press, 1986.
Description550pp.;Bib. pp. 545
Series(Oxford Applied Mathematics and Computing Science series)
Classification517.43
Keyword(s)1. VECTOR ANALYSIS 2. VECTOR CALCULUS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
003735   517.43/BAX/003735  On Shelf    

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TitleLecons sur le calcul vectoriel
Author(s)T.A. Ramos
PublicationParis, Librairie Scientifique Albert Blanchard, 1930.
Description119pp.
Classification517.43
Keyword(s)VECTOR CALCULUS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
005927   517.43/RAM/005927  On Shelf    

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