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Books > Science & Mathematics > Physics > Relativity physics
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Partial Differential Equations in General Relativity (Hardcover, New)
Loot Price: R2,772
Discovery Miles 27 720
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Partial Differential Equations in General Relativity (Hardcover, New)
Series: Oxford Graduate Texts in Mathematics
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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.
General
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