| A First Survey | p. 1 |
| Kinematics | p. 13 |
| One-dimensional motion | p. 13 |
| Three examples for the motion in one space dimension | p. 14 |
| Velocity | p. 19 |
| Acceleration | p. 22 |
| First remarks concerning dynamical aspects | p. 25 |
| Problems of motion in two or three dimensions | p. 27 |
| Two-dimensional motion | p. 29 |
| Motion in three spatial dimensions | p. 36 |
| An example for the determination of trajectories in two space dimensions | p. 38 |
| Vectorial formulation of problems of motion | p. 40 |
| Basic concepts | p. 41 |
| Vectorial description of motion | p. 43 |
| Area theorem | p. 48 |
| Curvilinear coordinates | p. 53 |
| Coordinates in the plane | p. 53 |
| Spatial coordinates | p. 60 |
| Dynamics I: Axioms and Conservation Laws | p. 67 |
| The axioms of mechanics | p. 67 |
| The concept of force | p. 67 |
| Inertial and gravitational mass | p. 69 |
| The axioms | p. 72 |
| The first axiom: inertial systems | p. 72 |
| The second axiom: momentum | p. 76 |
| The third axiom: interactions | p. 77 |
| The conservation laws of mechanics | p. 84 |
| The momentum principle and momentum conservation | p. 84 |
| The angular momentum principle and angular momentum conservation | p. 91 |
| Energy and energy conservation for a mass point | p. 102 |
| Energy conservation for a system of mass points | p. 122 |
| Application: collision problems | p. 130 |
| Dynamics II: Problems of Motion | p. 139 |
| Kepler's problem | p. 139 |
| Preliminaries | p. 140 |
| Planetary motion | p. 141 |
| Comets and meteorites | p. 155 |
| Oscillator problems | p. 160 |
| The mathematical pendulum | p. 161 |
| The damped harmonic oscillator | p. 169 |
| Forced oscillations: harmonic restoring forces | p. 173 |
| Forced oscillations: general excitations | p. 180 |
| General Formulation of the Mechanics of Point Particles | p. 185 |
| Lagrange I: the Lagrange equations of the first kind | p. 186 |
| Examples for the motion under constraints | p. 186 |
| Lagrange I for one point particle | p. 192 |
| D'Alembert's principle | p. 204 |
| D'Alembert's principle for one mass point | p. 204 |
| D'Alembert's principle for systems of point particles | p. 209 |
| The Lagrange equations of the second kind (Lagrange II) | p. 214 |
| Lagrange II for one point particle | p. 214 |
| Lagrange II and conservation laws for one point particle | p. 231 |
| Lagrange II for a system of mass points | p. 241 |
| Hamilton's formulation of mechanics | p. 246 |
| Hamiltion's principle | p. 246 |
| Hamiltion's equation of motion | p. 254 |
| A cursory look into phase space | p. 262 |
| Application of the Lagrange Formalism | p. 271 |
| Coupled harmonic oscillators | p. 271 |
| Coupled oscillating system: two masses and three springs | p. 272 |
| Beats | p. 276 |
| The linear oscillator chain | p. 278 |
| The differential equation of an oscillating string | p. 290 |
| Rotating coordinate systems | p. 294 |
| Simple manifestation of apparent forces | p. 295 |
| General discussion of apparent forces in rotating coordinate systems | p. 297 |
| Apparent forces and the rotating earth | p. 305 |
| The motion of rigid bodies | p. 314 |
| Preliminaries | p. 315 |
| The kinetic energy of rigid bodies | p. 316 |
| The structure of the inertia matrix | p. 322 |
| The angular momentum of a rigid body | p. 332 |
| The Euler angles | p. 334 |
| The equations of motion for the rotation of a rigid body | p. 337 |
| Rotational motion of rigid bodies | p. 340 |
| References | p. 353 |
| Appendix | p. 357 |
| Biographical data | p. 359 |
| The Greek Alphabet | p. 365 |
| Nomenclature | p. 367 |
| Physical Quantities | p. 369 |
| Some Constants and Astronomical Data | p. 373 |
| Formulae | p. 377 |
| Plane Polar Coordinates | p. 377 |
| Cylinder Coordinates | p. 378 |
| Spherical Coordinates | p. 378 |
| Sum Formulae / Moivre Formula | p. 379 |
| Hyperbolic Functions | p. 380 |
| Series Expansions | p. 380 |
| Approximations ( small) | p. 380 |
| Problems on the virtual CD-ROM | p. 381 |
| Index | p. 397 |
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