Derivation and Integration (Cambridge Tracts in Mathematics, Series Number 140) - Softcover

Pfeffer, Washek F.

Softcover

ISBN 10: 0521155657 ISBN 13: 9780521155656

Publisher: Cambridge University Press, 2010

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.

About this title

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.

Review

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

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• Language: English
• ISBN 10: 0521155657
• ISBN 13: 9780521155656
• Binding: Paperback
• Number of pages: 284