Articles liés à Derivation and Integration

Derivation and Integration - Couverture rigide

Pfeffer, Washek F.

 
9780521792684: Derivation and Integration
Couverture rigide
ISBN 10 : 0521792681 ISBN 13 : 9780521792684
Editeur : Cambridge University Press, 2001

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

Review of the hardback: '...warmly recommended to researchers and advanced graduate students ...'. József Németh, Acta Sci. Math.

Review of the hardback: '...I warmly recommended this book ...'. Thierry de Pauw, Bulletin of the Belgian Mathematical Society

Review of the hardback: ' ... written by one of the leading specialists in this field.' EMS

Review of the hardback: 'Readers with a good background in analysis will find this an illuminating account.' Mathematika

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2001
Langue
anglais
ISBN 10 
0521792681
ISBN 13 
9780521792684
Reliure
Relié
Nombre de pages
284
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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Dardilly
France