Derivation and integration Washek F. Pfeffer. Cambridge tracts in mathematics and mathematical physics 140; Cambridge tracts in mathematics 140.

Pfeffer, Washek F.:

ISBN 10: 0521792681 / ISBN 13: 9780521792684

Published by Cambridge, Cambridge University Press, 2001

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 28 PFE 9780521792684 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2499507

Bibliographic Details

• Title: Derivation and integration Washek F. Pfeffer. Cambridge tracts in mathematics and mathematical physics 140; Cambridge tracts in mathematics 140.
• Publisher: Cambridge, Cambridge University Press
• Publication Date: 2001
• Language: English
• ISBN 10: 0521792681
• ISBN 13: 9780521792684
• Binding: Hardcover
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.

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