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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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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
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Derivation and Integration (Cambridge Tracts in Mathematics, Series Number 140)
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Cambridge University Press, 2010
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Derivation and Integration (Cambridge Tracts in Mathematics)
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Derivation and Integration
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Derivation and Integration (Paperback)
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ISBN 10: 0521155657
ISBN 13: 9780521155656
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Paperback. Condition: new. Paperback. This book, devoted to an invariant multidimensional process of recovering a function from its derivative, considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. The main applications are related to the Gauss-Green and Stokes theorems. The book contains complete and detailed proofs of all new results, and of many known results for which the references are not easily available. It will provide valuable information to research mathematicians and advanced graduate students interested in geometric integration and related areas. This 2001 treatment of the classical problem of derivation and integration combines the techniques of analysis with those of geometric measure theory. The main applications are to the Gauss-Green and Stokes theorems. The many results are proved in detail, and include background material and precise references to well-known results. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521155656
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Derivation and Integration
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Derivation and Integration
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Derivation and Integration
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Derivation and Integration
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This 2001 treatment of the classical problem of derivation and integration combines the techniques of analysis with those of geometric measure theory. The main applications are to the Gauss-Green and Stokes theorems. The many results are proved in detail, a. Seller Inventory # 446928285
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Derivation and Integration
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Derivation and Integration
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780521155656
Quantity: 1 available