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035   $a(DE-He213)978-3-319-08666-8
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100   $a20140726d2014      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 13$aAn Introduction to Riemannian Geometry $eWith Applications to Mechanics and Relativity /$fby Leonor Godinho, José Natário
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (X, 467 p. 60 illus.)$conline resource
225 1 $aUniversitext,$x0172-5939
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-319-08665-0 
327   $aDifferentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity.
330   $aUnlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
410  0$aUniversitext,$x0172-5939
606   $aGeometry, Differential
606   $aMathematical physics
606   $aMechanics
606   $aGravitation
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070
615  0$aGeometry, Differential.
615  0$aMathematical physics.
615  0$aMechanics.
615  0$aGravitation.
615 14$aDifferential Geometry.
615 24$aMathematical Physics.
615 24$aClassical Mechanics.
615 24$aClassical and Quantum Gravitation, Relativity Theory.
676   $a516.36
700   $aGodinho$b Leonor$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721267
702   $aNatário$b José$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299979103321
996   $aAn Introduction to Riemannian Geometry$92522980
997   $aUNINA
999   $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress