Hardcover. 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. A 2001 treatment of the classical problem of derivation and integration, with applications to the Gauss-Green and Stokes theorems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Derivation and Integration (Hardcover)
Publisher: Cambridge University Press, Cambridge
Publication Date: 2001
Language: English
ISBN 10: 0521792681
ISBN 13: 9780521792684
Binding: Hardcover
Edition: 1st Edition
Condition: new

About this title

Synopsis

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.

Book Description

Within the context of BV sets and functions, this book studies an invariant multidimensional process of recoevring a function from its derivative. The results are applied to the Gauss-Green and Stokes theorems. The author presents many new results, which are proved in detail, and includes background material and precise references to well-known results, making the treatment accessible to graduate students and researchers in functional analysis and geometric measure theory.

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