LEADER 03234nam 22006495 450 001 9910742493203321 005 20230828131731.0 010 $a981-9900-22-0 024 7 $a10.1007/978-981-99-0022-0 035 $a(MiAaPQ)EBC30722587 035 $a(Au-PeEL)EBL30722587 035 $a(DE-He213)978-981-99-0022-0 035 $a(PPN)272262900 035 $a(CKB)28100255400041 035 $a(EXLCZ)9928100255400041 100 $a20230828d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Geometry and General Relativity $eVolume 1 /$fby Canbin Liang, Bin Zhou 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (566 pages) 225 1 $aGraduate Texts in Physics,$x1868-4521 311 08$aPrint version: Liang, Canbin Differential Geometry and General Relativity Singapore : Springer,c2023 9789819900213 327 $aTopological Spaces in Brief -- Manifolds and Tensor Fields -- The Riemann (Intrinsic) Curvature Tensor -- Lie Derivative, Killing Fields and Hypersurfaces -- Differential Forms and Their Integrals -- Special Relativity -- Foundations of General Relativity -- Solving the Einstein?s Equation -- Schwarzschild Spacetimes -- Cosmology -- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units. 330 $aThis book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book?s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists. 410 0$aGraduate Texts in Physics,$x1868-4521 606 $aGravitation 606 $aGeometry, Differential 606 $aMathematical physics 606 $aCosmology 606 $aClassical and Quantum Gravity 606 $aDifferential Geometry 606 $aMathematical Methods in Physics 606 $aCosmology 615 0$aGravitation. 615 0$aGeometry, Differential. 615 0$aMathematical physics. 615 0$aCosmology. 615 14$aClassical and Quantum Gravity. 615 24$aDifferential Geometry. 615 24$aMathematical Methods in Physics. 615 24$aCosmology. 676 $a530.11 700 $aLiang$b Canbin$01425261 701 $aZhou$b Bin$0973654 701 $aJia$b Weizhen$01425262 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910742493203321 996 $aDifferential Geometry and General Relativity$93555483 997 $aUNINA