Geometric Theory of Generalized Functions with Applications to General Relativity

Name: Geometric Theory of Generalized Functions with Applications to General Relativity
SKU: 2118486
Price: 304.00 NZD
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Hardback

Series:

Mathematics and its Applications

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Description

This work provides a comprehensive introduction to the non-linear 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 "non-linear 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.

Release date NZ

November 30th, 2001

Author

Audience

Undergraduate

Illustrations

XV, 505 p.

Pages

505

Series

Mathematics and its Applications

Dimensions

155x235x28

ISBN-13

9781402001451

Product ID

2118486

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