AN ELEMENTARY TREATISE ON KINEMATICS AND DYNAMICS
Chapter 1 Mechanical systems with one degree of freedom 1 Chapter 2 Kepler·s gravitational two-body problem 21 Chapter 3 Newtonian to Lagrangian and Hamiltonian mechanics 55 Chapter 4 Introduction to special relativistic mechanics 149 Chapter 5 Dynamics viewed as a vector ·eld on state space 171 Chapter 6 Small oscillations for one degree of freedom 195 Chapter 7 Nonlinear oscillations: pendulum and anharmonic oscillator 225 Chapter 8 Rigid body mechanics 243 Chapter 9 Motion in noninertial frames of reference 289 Chapter 10 Canonical transformations 301 Chapter 11 Angle-action variables 341 Chapter 12 Hamilton-Jacobi equation 365 Chapter 13 Normal modes of oscillation and linear stability 383 Chapter 14 Bifurcations: qualitative changes in dynamics 417 Chapter 15 From regular to chaotic motion 431 Chapter 16 Dynamics of continuous deformable media 483 Chapter 17 Vibrations of a stretched string and the wave equation 485 Chapter 18 Heat diffusion equation and Brownian motion 513 Chapter 19 Introduction to ·uid mechanics 531