Nathalie Deruelle and Jean-Philippe Uzan are researchers in Theoretical Physics. After a career at the Centre National de la Recherche Scientifique (CNRS) in France, Nathalie Deruelle is now an invited professor at the Université Libre de Bruxelles (ULB).Jean-Philippe Uzan is a CNRS researcher at the Institut d'Astrophysique de Paris (IAP) from Sorbonne Université. They are both affiliated professors at the Kyoto Yukawa Institute (YITP).

• Book 1 Space, time, and gravity in Newton's theory Part I Kinematics 1: Cartesian coordinates 2: Vector geometry 3: Curvilinear coordinates 4: Differential geometry Part II Dynamics 5: Equations of motion 6: Dynamics of massive systems 7: Conservation laws 8: Lagrangian mechanics 9: Hamiltonian mechanics 10: Kinetic theory Part III 11: The law of gravitation 12: The Kepler problem 13: The N-body problem 14: Deformations of celestial bodies 15: Self-gravitating fluids 16: Newtonian cosmology 17: Light in Newtonian theory Book 2 Special relativity and Maxwell's theory Part I Kinematics 1: Minkowski spacetime 2: The kinematics of a point particle 3: The kinematics of light 4: The wave vector of light 5: Accelerated frames Part II Dynamics 6: Dynamics of a point particle 7: Rotating systems 8: Fields and matter 9: The classical scalar field 10: The Nordström theory Part III Electromagnetism 11: The Lorentz force 12: The Maxwell equaions 13: Constant fields 14: The free field 15: Electromagnetic waves 16: Waves in a medium Part IV Electrodynamics 17: The field of moving charge 18: Radiation by a charge 19: The radiation reaction force 20: Interacting charges I 21: Interacting charges II 22: Electromagnetism and differential geometry Book 3 General relativity and gravitation Part I Curved spacetime and gravitation 1: The equivalence principle 2: Riemannian manifolds 3: Matter in curved spacetime 4: The Einstein equations 5: Conservation laws Part II The Schwarzschild solution and black holes 6: The Schwarzchild solution 7: The Schwarzchild black hole 8: The Kerr solution 9: The physics of black holes I 10: The physics of black holes II Part III General relativity and experiment 11: Tests in the solar system 12: The post-Newtonian approximation 13: Gravitational waves and the radiative field 14: Gravitational radiation 15: The two-body problem and radiative losses 16: The two-body problem: an effective-one-body approach: Written in collaboration with Félix-Louis Julié Part IV Friedmann-Lemaître solutions and cosmology 17: Cosmological spacetimes 18: Friedmann-Lemaître spacetimes 19: The Lambda-CDM model of the hot Big Bang 20: Inflationary models of the primordial universe 21: Cosmological perturbations 22: Primordial quantum perturbations Part V Elements of Riemannian geometry 23: The covariant derivative and the curvature 24: Riemannian manifolds 25: The Cartan structure equations

A very rich book: All notions like relativity, space and time are carefully explained, their history is mentioned by giving plenty of footnotes. The mathematical side, the experimental side, and the view of the theoretical physicist are presented adequately at the respective places.