图书简介

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: GRAVITATION; 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; 5 Dynamics of a point particle; 6 Dynamics of a point particle; 7 Rotating systems; 8 Fields and matter; 9 The classical scalar field; 10 The Nordstrom theory; PART III ELECTROMAGNETISM; 11 The Lorentz force; 12 The Maxwell equations; 13 Constant fields; 14 The free field; 15 Electromagnetic waves; 16 Waves in a medium; PART IV ELECTRODYNAMICS; 17 The field of a 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 Schwarzschild solution; 7 The Schwarzschild 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; PART IV FRIEDMANN-LEMAITRE SOLUTIONS AND COSMOLOGY; 17 Cosmological spacetimes; 18 Friedmann-Lemaitre 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 Reimannian manifolds; 25 The Cartan structure equations

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