MARC Record from harvard_bibliographic_metadata

LEADER: 02326nam a22004695a 4500
001 014131715-9
005 20140905185000.0
008 140726s2014 gw | s ||0| 0|eng d
020 $a9783319086668
020 $a9783319086668
020 $a9783319086651
024 7 $a10.1007/978-3-319-08666-8$2doi
035 $a(Springer)9783319086668
040 $aSpringer
050 4 $aQA641-670
072 7 $aPBMP$2bicssc
072 7 $aMAT012030$2bisacsh
082 04 $a516.36$223
100 1 $aGodinho, Leonor,$eauthor.
245 13 $aAn Introduction to Riemannian Geometry :$bWith Applications to Mechanics and Relativity /$cby Leonor Godinho, José Natário.
264 1 $aCham :$bSpringer International Publishing :$bImprint: Springer,$c2014.
300 $aX, 467 p. 60 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aUniversitext,$x0172-5939
505 0 $aDifferentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity.
520 $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.
650 20 $aMechanics.
650 20 $aMathematical physics.
650 20 $aGeometry, Differential.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aGlobal differential geometry.
650 0 $aMechanics.
650 24 $aClassical and Quantum Gravitation, Relativity Theory.
700 1 $aNatário, José,$eauthor.
776 08 $iPrinted edition:$z9783319086651
830 0 $aUniversitext.
988 $a20140802
906 $0VEN