Author | Thirring, Walter. author |
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Title | A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems / by Walter Thirring, Evans Harrell |
Imprint | Vienna : Springer Vienna, 1978 |
Connect to | http://dx.doi.org/10.1007/978-3-7091-8526-1 |
Descript | XII, 258 p. online resource |
1 Introduction -- 1.1 Equations of Motion -- 1.2 The Mathematical Language -- 1.3 The Physical Interpretation -- 2 Analysis on Manifolds -- 2.1 Manifolds -- 2.2 Tangent Spaces -- 2.3 Flows -- 2.4 Tensors -- 2.5 Differentiation -- 2.6 Integration -- 3 Hamiltonian Systems -- 3.1 Canonical Transformations -- 3.2 Hamiltonโs Equations -- 3.3 Constants of Motion -- 3.4 The Limit t ? I ยฑ ? -- 3.5 Perturbation Theory: Preliminaries -- 3.6 Perturbation Theory: The Iteration -- 4 Nonrelativistic Motion -- 4.1 Free Particles -- 4.2 The Two-Body Problem -- 4.3 The Problem of Two Centers of Force -- 4.4 The Restricted Three-Body Problems -- 4.5 The N-body Problem -- 5 Relativistic Motion -- 5.1 The Hamiltonian Formulation of the Electrodynamic Equation of Motion -- 5.2 The Constant Field -- 5.3 The Coulomb Field -- 5.4 The Betatron -- 5.5 The Traveling Plane Disturbance -- 5.6 Relativistic Motion in a Gravitational Field -- 5.7 Motion in the Schwarzschild Field -- 5.8 Motion in a Gravitational Plane Wave -- 6 The Structure of Space and Time -- 6.1 The Homogeneous Universe -- 6.2 The Isotropic Universe -- 6.3 Me according to Galileo -- 6.4 Me as Minkowski Space -- 6.5 Me as a Pseudo-Riemannian Space