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Geometric Theory of Generalized Functions with Applications to General Relativity - M. Grosser
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ISBN: 9781402001451

[ED: Buch], [PU: Springer Netherlands], Neuware - 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)… Plus…

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Geometric Theory of Generalized Functions with Applications to General Relativity | M. Grosser (u. a.) | Buch | Mathematics and its Applications | HC runder Rücken kaschiert | Englisch | 2001 - Grosser, M.
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Geometric Theory of Generalized Functions with Applications to General Relativity | M. Grosser (u. a.) | Buch | Mathematics and its Applications | HC runder Rücken kaschiert | Englisch | 2001 - edition reliée, livre de poche

2001, ISBN: 9781402001451

[ED: Gebunden], [PU: Springer Netherland], 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 ta… Plus…

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Geometric Theory of Generalized Functions with Applications to General Relativity / M. Grosser (u. a.) / Buch / Mathematics and its Applications / HC runder Rücken kaschiert / Englisch / 2001 - Grosser, M.
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Geometric Theory of Generalized Functions with Applications to General Relativity / M. Grosser (u. a.) / Buch / Mathematics and its Applications / HC runder Rücken kaschiert / Englisch / 2001 - edition reliée, livre de poche

2001

ISBN: 9781402001451

[ED: Gebunden], [PU: Springer Netherland], 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 ta… Plus…

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Geometric Theory of Generalized Functions with Applications to General Relativity - Grosser, M.; Steinbauer, R.; Oberguggenberger, Michael; Kunzinger, M.
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Grosser, M.; Steinbauer, R.; Oberguggenberger, Michael; Kunzinger, M.:
Geometric Theory of Generalized Functions with Applications to General Relativity - edition reliée, livre de poche

2001, ISBN: 1402001452

2001 Gebundene Ausgabe Analysis / Funktionalanalysis, Funktionalanalysis, Mathematik, Topologie - Differenzialtopologie, Gruppen und Gruppentheorie, Mathematische Analysis, allgemein, A… Plus…

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Geometric Theory of Generalized Functions with Applications to General Relativity - M. Grosser; M. Kunzinger; Michael Oberguggenberger; R. Steinbauer
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M. Grosser; M. Kunzinger; Michael Oberguggenberger; R. Steinbauer:
Geometric Theory of Generalized Functions with Applications to General Relativity - edition reliée, livre de poche

2001, ISBN: 9781402001451

Buch, Hardcover, 2001 ed. [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 2001

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Geometric Theory of Generalized Functions with Applications to General Relativity

This work provides the first comprehensive introduction to the nonlinear theory of generalized functions (in the sense of Colombeau's construction) on differentiable manifolds. Particular emphasis is laid on a diffeomorphism invariant geometric approach to embedding the space of Schwartz distributions into algebras of generalized functions. The foundations of a `nonlinear distributional geometry' are developed, supplying a solid base for an increasing number of applications of algebras of generalized functions to questions of a primarily geometric mature, in particular in mathematical physics. Applications of the resulting theory to symmetry group analysis of differential equations and the theory of general relativity are presented in separate chapters. These features distinguish the present volume from earlier introductory texts and monographs on the subject. Audience: The book will be of interest to graduate students as well as to researchers in functional analysis, partial differential equations, differential geometry, and mathematical physics.

Informations détaillées sur le livre - Geometric Theory of Generalized Functions with Applications to General Relativity


EAN (ISBN-13): 9781402001451
ISBN (ISBN-10): 1402001452
Version reliée
Date de parution: 2001
Editeur: Springer-Verlag New York Inc.
528 Pages
Poids: 0,941 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-06-02T17:50:09+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-01-20T10:36:41+01:00 (Paris)
ISBN/EAN: 1402001452

ISBN - Autres types d'écriture:
1-4020-0145-2, 978-1-4020-0145-1
Autres types d'écriture et termes associés:
Auteur du livre: geometric, großer, künzi, michael steinbauer, grosse, gross michael, oberg, grosser roland
Titre du livre: general theory, relativity, geometric functions, generalized functions applications, the theory functions, geometric group theory, geometric function theory


Données de l'éditeur

Auteur: M. Grosser; M. Kunzinger; Michael Oberguggenberger; R. Steinbauer
Titre: Mathematics and Its Applications; Geometric Theory of Generalized Functions with Applications to General Relativity
Editeur: Springer; Springer Netherland
505 Pages
Date de parution: 2001-11-30
Dordrecht; NL
Poids: 2,010 kg
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XV, 505 p.

BB; Functional Analysis; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Lie group; Symmetry group; diffeomorphism; differential geometry; distribution; functional analysis; manifold; mathematical physics; Global Analysis and Analysis on Manifolds; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Topological Groups, Lie Groups; Functional Analysis; Global Analysis and Analysis on Manifolds; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Topological Groups and Lie Groups; Mathematische Analysis, allgemein; Angewandte Mathematik; Mathematische Physik; Gruppen und Gruppentheorie; BC; EA

Preface. Acknowledgments. Introduction. 1. Colombeau's Theory of Generalized Functions. 2. Diffeomorphism Invariant Colombeau Theory. 3. Generalized Functions on Manifolds. 4. Applications to LIE Group Analysis of Differential Equations. 5. Applications to General Relativity. Appendices.

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