Derivation and Integration
(Book #140 in the Cambridge Tracts in Mathematics Series)
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Book Overview
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.
Format:Paperback
Language:English
ISBN:0521155657
ISBN13:9780521155656
Release Date:November 2010
Publisher:Cambridge University Press
Length:284 Pages
Weight:0.92 lbs.
Dimensions:0.6" x 6.0" x 9.0"
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Calculus General Math Mathematics Medical Medical Books Medicine Science & Math StatisticsCustomer Reviews
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