Partial Differential Equations in General Relativity (Oxford Graduate Texts in Mathematics) - Softcover
Synopsis
A graduate level text on a subject which brings together several areas of mathematics and physics: partial differential equations, differential geometry and general relativity. It explains the basics of the theory of partial differential equations in a form accessible to physicists and the basics of general relativity in a form accessible to mathematicians. In recent years the theory of partial differential equations has come to play an ever more important role in research on general relativity. This is partly due to the growth of the field of numerical relativity, stimulated in turn by work on gravitational wave detection, but also due to an increased interest in general relativity among pure mathematicians working in the areas of partial differential equations and Riemannian geometry, who have realized the exceptional richness of the interactions between geometry and analysis which arise. This book provides the background for those wishing to learn about these topics. It treats key themes in general relativity including matter models and symmetry classes and gives an introduction to relevant aspects of the most important classes of partial differential equations, including ordinary differential equations, and material on functional analysis. These elements are brought together to discuss a variety of important examples in the field of mathematical relativity, including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology.
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About the Author
Alan Rendall is at Max Planck Institute for Gravitational Physic, (Albert Einstein Institute).
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Partial Differential Equations in General Relativity (Volume 16)
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ISBN 10: 0199215413
ISBN 13: 9780199215416
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Partial Differential Equations in General Relativity
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ISBN 10: 0199215413
ISBN 13: 9780199215416
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Partial Differential Equations in General Relativity
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ISBN 10: 0199215413
ISBN 13: 9780199215416
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Paperback. Condition: New. A graduate level text on a subject which brings together several areas of mathematics and physics: partial differential equations, differential geometry and general relativity. It explains the basics of the theory of partial differential equations in a form accessible to physicists and the basics of general relativity in a form accessible to mathematicians. In recent years the theory of partial differential equations has come to play an ever more important role in research on general relativity. This is partly due to the growth of the field of numerical relativity, stimulated in turn by work on gravitational wave detection, but also due to an increased interest in general relativity among pure mathematicians working in the areas of partial differential equations and Riemannian geometry, who have realized the exceptional richness of the interactions between geometry and analysis which arise. This book provides the background for those wishing to learn about these topics. It treats key themes in general relativity including matter models and symmetry classes and gives an introduction to relevant aspects of the most important classes of partial differential equations, including ordinary differential equations, and material on functional analysis. These elements are brought together to discuss a variety of important examples in the field of mathematical relativity, including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology. Seller Inventory # LU-9780199215416
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Partial Differential Equations in General Relativity (Oxford Graduate Texts in Mathematics)
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Partial Differential Equations in General Relativity
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Condition: New. A text that will bring together PDE theory, general relativity and astrophysics to deliver an overview of theory of partial differential equations for general relativity. The text will include numerous examples and provide a unique resource for graduate students in mathematics and physics, numerical relativity and cosmology. Series: Oxford Graduate Texts in Mathematics. Num Pages: 296 pages, 6 line illustrations. BIC Classification: PBKJ; PBW; PHR. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 232 x 157 x 18. Weight in Grams: 450. . 2008. Paperback. . . . . Seller Inventory # V9780199215416
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Partial Differential Equations in General Relativity
Published by
Oxford University Press, 2008
ISBN 10: 0199215413
ISBN 13: 9780199215416
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