Derivation and Integration by Washek F. Pfeffer
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Derivation and Integration
By Washek F. Pfeffer

Derivation and Integration

By (author) See other recent books by Washek F. Pfeffer
Series edited by B. Bollobas See other recent books by B. Bollobas See other recent books by W. Fulton
Format: Hardback

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Derivation and Integration by Washek F. Pfeffer

Book Description

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.

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Book Details

ISBN: 9780521792684
ISBN-10: 0521792681
Format: Hardback
(228mm x 152mm x 19mm)
Pages: 284
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Mar-2001
Country of Publication: United Kingdom

Other Editions...


Books By Author Washek F. Pfeffer

Derivation and Integration by Washek F. Pfeffer Derivation and Integration, Paperback (July 2010)

A 2001 treatment of the classical problem of derivation and integration, with applications to the Gauss-Green and Stokes theorems.

Riemann Approach to Integration by Washek F. Pfeffer Riemann Approach to Integration, Paperback (March 2008)

A detailed exposition of generalised Riemann-Stieltjes integrals.

» View all books by Washek F. Pfeffer

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