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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Geometric Theory of Generalized Functions with Applications to General Relativity
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Geometric Theory of Generalized Functions with Applications to General Relativity
M. Grosser, M. Kunzinger, Michael Oberguggenberger, R. Steinbauer (Broschiert, Englisch)
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Beschreibung
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability,… due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
08.12.2010
Sprache
Englisch
EAN
9789048158805
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Mathematics and Its Applications
Sonderedition
Nein
Autor
M. Grosser, M. Kunzinger, Michael Oberguggenberger, R. Steinbauer
Seitenanzahl
505
Einbandart
Broschiert
Schlagwörter
Lie group, Symmetry group, diffeomorphism, differential geometry, distribution, functional analysis, manifold, mathematical physics
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBK - Mathematische Analysis, allgemein
PBW - Angewandte Mathematik
PHU - Mathematische Physik
PBG - Gruppen und Gruppentheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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