Leonor Godinho,
Jose Natario,
José Natário
An Introduction to Riemannian Geometry
With Applications to Mechanics and Relativity
Paperback Engels 2014 2014e druk 9783319086651Levertijd ongeveer 9 werkdagen
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Samenvatting
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.
The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.
The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
Specificaties
ISBN13:9783319086651
Taal:Engels
Bindwijze:paperback
Aantal pagina's:467
Uitgever:Springer International Publishing
Druk:2014
Serie:Universitext
Lezersrecensies
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Inhoudsopgave
Differentiable Manifolds.- Differential Forms.- Riemannian Manifolds.- Curvature.- Geometric Mechanics.- Relativity.
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