Derivation and Integration - Couverture souple

Pfeffer, Washek F.

 
9780521155656: Derivation and Integration
Couverture souple
ISBN 10 : 0521155657 ISBN 13 : 9780521155656
Editeur : Cambridge University Press, 2006

Synopsis

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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Éditeur
Cambridge University Press
Date d'édition
2006
Langue
anglais
ISBN 10 
0521155657
ISBN 13 
9780521155656
Reliure
Broché
Nombre de pages
284
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France