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02594nam a22005175i 4500 |
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978-3-319-08666-8 |
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DE-He213 |
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20151030041459.0 |
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cr nn 008mamaa |
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140726s2014 gw | s |||| 0|eng d |
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|a 9783319086668
|9 978-3-319-08666-8
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|a 10.1007/978-3-319-08666-8
|2 doi
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|d GrThAP
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|a QA641-670
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|a PBMP
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|a MAT012030
|2 bisacsh
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|a 516.36
|2 23
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|a Godinho, Leonor.
|e author.
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|a An Introduction to Riemannian Geometry
|h [electronic resource] :
|b With Applications to Mechanics and Relativity /
|c by Leonor Godinho, José Natário.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2014.
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|a X, 467 p. 60 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Universitext,
|x 0172-5939
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|a Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity.
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|a 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.
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|a Mathematics.
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|a Differential geometry.
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|a Mathematical physics.
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|a Gravitation.
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|a Mechanics.
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|a Mathematics.
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|a Differential Geometry.
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|a Mathematical Physics.
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|a Mechanics.
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|a Classical and Quantum Gravitation, Relativity Theory.
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|a Natário, José.
|e author.
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2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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776 |
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|i Printed edition:
|z 9783319086651
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830 |
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|a Universitext,
|x 0172-5939
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856 |
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|u http://dx.doi.org/10.1007/978-3-319-08666-8
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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950 |
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|a Mathematics and Statistics (Springer-11649)
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