LEADER 04416nam 22005655 450 001 9911061850803321 005 20260129120359.0 010 $a3-662-72672-6 024 7 $a10.1007/978-3-662-72672-3 035 $a(CKB)45066183900041 035 $a(MiAaPQ)EBC32529937 035 $a(Au-PeEL)EBL32529937 035 $a(DE-He213)978-3-662-72672-3 035 $a(EXLCZ)9945066183900041 100 $a20260129d2026 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAscent to the Einstein Equations $eSpacetime, Gravitational Waves, Black Holes and more /$fby Michael Ruhrländer 205 $a1st ed. 2026. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2026. 215 $a1 online resource (600 pages) 225 1 $aPhysics and Astronomy Series 311 08$a3-662-72671-8 327 $aI The Worldview of Gravitation before Einstein -- 1 Kepler?s Laws -- 2 Laws of Falling -- 3 Newton?s Laws -- 4 Work and Energy -- 5 Rotations -- 6 Newton?s Law of Gravitation -- 7 Literature References and Further Reading for Part I -- II Vector and Tensor Calculus in the Euclidean Plane -- 8 Vector Calculus in the Euclidean Plane -- 9 Tensor Calculus in the Euclidean Plane -- 10 The Inertia Tensor -- 11 Literature References and Further Reading for Part II -- III Special Theory of Relativity -- 12 Principle of Relativity -- 13 The Geometry of Spacetime -- 14 Vector Calculus in Special Relativity Theory -- 15 Tensor Calculus in Special Relativity Theory -- 16 Energy-Momentum Tensors in Special Relativity -- 17 Literature References and Further Information on Part III -- IV Fundamentals of General Relativity -- 18 Gravitation and Spacetime Model -- 19 The Mathematical Foundations of Curved Spacetime -- 20 Motion in the Gravitational Field, Geodesic Equation -- 21 Curvature in Riemannian Space -- 22 Riemannian Space and Einstein Equations -- 23 Static Spherical Gravitational Fields -- 24 Literature References and Further Reading on Part IV -- V Application of the General Theory of Relativity to Selected Cosmological Phenomena -- 25 Gravitational Waves -- 26 Gravitational Collapse and the Interior Schwarzschild Metric -- 27 Black Holes -- 28 Literature References and Further Reading on Part V -- VI Appendix: Formulas and Tables -- 29 Functions, Formulas and Physical Laws -- 30 Units and Constants -- Bibliography -- Index. 330 $aWhat are Einstein?s field equations? Can they be understood without a physics degree? This book provides the answer. With care and clarity, the author offers scientifically curious readers an accessible path into Einstein?s theories of relativity. Only high school-level knowledge is assumed, making the material approachable for anyone with a strong interest in science. Readers explore both the physical phenomena and the mathematical techniques needed to grasp Einstein?s theory of gravity on a quantitative level. Step by step, the book guides readers toward answers to fundamental questions about General Relativity: How does Einstein?s theory of gravity differ from Newton?s? How can gravitational attraction be described geometrically? How can a black hole ?swallow? light? Michael Ruhrländer studied mathematics at the University of Essen and earned his doctorate in Wuppertal, Germany. He then worked in the financial services industry and has been a lecturer in mathematics and statistics at the University of Applied Sciences Bingen from 2010 to 2020. He shares his passion for mathematics and physics through his clearly written textbooks and popular science publications. 410 0$aPhysics and Astronomy Series 606 $aGeneral relativity (Physics) 606 $aGravitation 606 $aCosmology 606 $aGeneral Relativity 606 $aGravitational Physics 606 $aCosmology 615 0$aGeneral relativity (Physics) 615 0$aGravitation. 615 0$aCosmology. 615 14$aGeneral Relativity. 615 24$aGravitational Physics. 615 24$aCosmology. 676 $a530.11 700 $aRuhrländer$b Michael$01893131 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911061850803321 996 $aAscent to the Einstein Equations$94540614 997 $aUNINA