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Derivation and Integration

Name: Derivation and Integration
Brand: Cambridge University Press
SKU: 02024167
Price: 57.1 EUR
Availability: InStock
Author: Washek F. Pfeffer
ISBN: 9780521155656

Washek F. Pfeffer

Language

English

Book Paperback

Libristo code: 02024167

Publishers Cambridge University Press, November 2010

This 2001 book is devoted to an invariant multidimensional process of recovering a function from its... Full description

Libristo code: 02024167

138 b

57.10 €

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This 2001 book is devoted to an invariant multidimensional process of recovering a function from its derivative. It considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. A typical example is the flux of a continuous vector field. A very general Gauss-Green theorem follows from the sufficient conditions for the derivability of the flux. Since the setting is invariant with respect to local lipeomorphisms, a standard argument extends the Gauss-Green theorem to the Stokes theorem on Lipschitz manifolds. In addition, the author proves the Stokes theorem for a class of top-dimensional normal currents - a first step towards solving a difficult open problem of derivation and integration in middle dimensions. The book contains complete and detailed proofs and will provide valuable information to research mathematicians and advanced graduate students interested in geometric integration and related areas.