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Geometric Theory of Generalized Functions with Applications to General Relativity

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Carte Geometric Theory of Generalized Functions with Applications to General Relativity Michael Großer
Codul Libristo: 02706111
Editura Springer Netherlands, noiembrie 2000
Over the past few years a certain shift of focus within the theory of algebras of generalized functi... Descrierea completă
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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.

Informații despre carte

Titlu complet Geometric Theory of Generalized Functions with Applications to General Relativity
Limba engleză
Legare Carte - Copertă tare
Data publicării 2001
Număr pagini 505
EAN 9781402001451
ISBN 1402001452
Codul Libristo 02706111
Greutatea 912
Dimensiuni 173 x 241 x 38
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