Derivation and Integration (Cambridge Tracts in Mathematics) 1st Edition by Washek F. Pfeffer (PDF)

Description

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.

User’s Reviews

Editorial Reviews: 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 SocietyReview of the hardback: ‘ … written by one of the leading specialists in this field.’ EMSReview of the hardback: ‘Readers with a good background in analysis will find this an illuminating account.’ Mathematika 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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