03234nam 22006495 450 991074249320332120230828131731.0981-9900-22-010.1007/978-981-99-0022-0(MiAaPQ)EBC30722587(Au-PeEL)EBL30722587(DE-He213)978-981-99-0022-0(PPN)272262900(CKB)28100255400041(EXLCZ)992810025540004120230828d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDifferential Geometry and General Relativity Volume 1 /by Canbin Liang, Bin Zhou1st ed. 2023.Singapore :Springer Nature Singapore :Imprint: Springer,2023.1 online resource (566 pages)Graduate Texts in Physics,1868-4521Print version: Liang, Canbin Differential Geometry and General Relativity Singapore : Springer,c2023 9789819900213 Topological 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.This 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.Graduate Texts in Physics,1868-4521GravitationGeometry, DifferentialMathematical physicsCosmologyClassical and Quantum GravityDifferential GeometryMathematical Methods in PhysicsCosmologyGravitation.Geometry, Differential.Mathematical physics.Cosmology.Classical and Quantum Gravity.Differential Geometry.Mathematical Methods in Physics.Cosmology.530.11Liang Canbin1425261Zhou Bin973654Jia Weizhen1425262MiAaPQMiAaPQMiAaPQBOOK9910742493203321Differential Geometry and General Relativity3555483UNINA