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020 _a9783031548239
_9978-3-031-54823-9
024 7 _a10.1007/978-3-031-54823-9
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aBoskoff, Wladimir-Georges.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976447
245 1 2 _aA Mathematical Journey to Relativity
_h[electronic resource] :
_bDeriving Special and General Relativity with Basic Mathematics /
_cby Wladimir-Georges Boskoff, Salvatore Capozziello.
250 _a2nd ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXXVI, 536 p. 49 illus., 16 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUNITEXT for Physics,
_x2198-7890
505 0 _aEuclidean and Non-­Euclidean Geometries: How they appear -- Basic Facts in Euclidean and Minkowski Plane Geometry -- From Projective Geometry to Poincaré Disk. How to carry out a Non-Euclidean Geometry Model -- Revisiting the Differential Geometry of Surfaces in 3D-Spaces -- Basic Differential Geometry Concepts and their Applications -- Differential Geometry at Work: Two Ways of Thinking the Gravity. The Einstein Field Equations from a Geometric Point of View -- Differential Geometry at Work: Euclidean, Non-Euclidean and Elliptic Geometric Models from Geometry and Physics -- Gravity in Newtonian Mechanics -- Special Relativity -- General Relativity and Relativistic Cosmology -- A Geometric Realization of Relativity: the de Sitter Spacetime -- Another Geometric Realization of Relativity: the Anti-de Sitter Spacetime -- More than Metric: Geometric Objects for Alternative Pictures of Gravity -- Metric-Affine Theories of Gravity -- Conclusions.
520 _aThe 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications. The textbook aims to provide a comprehensive geometric description of Special and General Relativity, starting from basic Euclidean geometry to more advanced non-Euclidean geometry and differential geometry. Readers will learn about the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, and the cosmological solutions like de Sitter, Friedman-Lemaître-Robertson-Walker, and Gödel ones, as well as the implications of each of them for the observed physical world. In addition, the book provides step-by-step solutions to problems and exercises, making it an ideal introduction for undergraduate students and readers looking to gain a better understanding of Special and General Relativity. In this new edition, a wide discussion on metric-affine theories of gravity and equivalent formulations of General Relativity is reported. The aim is presenting also topics which could be useful for PhD students and researchers studying General Relativity from an advanced point of view.
650 0 _aMathematical physics.
650 0 _aGeneral relativity (Physics).
650 0 _aSpecial relativity (Physics).
_969493
650 0 _aQuantum physics.
_966608
650 0 _aGeometry, Differential.
_969684
650 1 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aGeneral Relativity.
650 2 4 _aSpecial Relativity.
_969496
650 2 4 _aQuantum Physics.
_966608
650 2 4 _aDifferential Geometry.
_969686
700 1 _aCapozziello, Salvatore.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976448
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031548222
776 0 8 _iPrinted edition:
_z9783031548246
776 0 8 _iPrinted edition:
_z9783031548253
830 0 _aUNITEXT for Physics,
_x2198-7890
_975691
856 4 0 _uhttps://doi.org/10.1007/978-3-031-54823-9
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c59677
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