Derivation and Integration
Part of Cambridge Tracts in Mathematics
- Author: Washek F. Pfeffer, University of California, Davis
- Date Published: November 2010
- availability: Available
- format: Paperback
- isbn: 9780521155656
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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.
Read more- A modern treatment of the classical problem
- A co-ordinate free approach
- Main results are published for first time in a book form
Reviews & endorsements
Review of the hardback: '…warmly recommended to researchers and advanced graduate students …'. József Németh, Acta Sci. Math.
See more reviewsReview 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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×Product details
- Date Published: November 2010
- format: Paperback
- isbn: 9780521155656
- length: 284 pages
- dimensions: 229 x 152 x 16 mm
- weight: 0.42kg
- availability: Available
Table of Contents
Preface
Acknowledgments
1. Preliminaries
2. Charges
3. Variations of charges
4. Charges and BV functions
5. Integration
6. Extending the integral
Bibliography
List of symbols
Index.
Related Books
related journals
also by this author
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