Overview
Newtonian Mechanics in Moving Coordinate Systems.- Newton's Equations in a Rotating Coordinate System.- Free Fall on the Rotating Earth.- Foucault's Pendulum.- Mechanics of Particle Systems.- Degrees of Freedom.- Center of Gravity.- Mechanical Fundamental Quantities of Systems of Mass Points.- Vibrating Systems.- Vibrations of Coupled Mass Points.- The Vibrating String.- Fourier Series.- The Vibrating Membrane.- Mechanics of Rigid Bodies.- Rotation About a Fixed Axis.- Rotation About a Point.- Theory of the Top.- Lagrange Equations.- Generalized Coordinates.- D'Alembert Principle and Derivation of the Lagrange Equations.- Lagrange Equation for Nonholonomic Constraints.- Special Problems.- Hamiltonian Theory.- Hamilton's Equations.- Canonical Transformations.- Hamilton-Jacobi Theory.- Extended Hamilton-Lagrange Formalism.- Extended Hamilton-Jacobi Equation.- Nonlinear Dynamics.- Dynamical Systems.- Stability of Time-Dependent Paths.- Bifurcations.- Lyapunov Exponents and Chaos.- Systems with Chaotic Dynamics.- On the History of Mechanics.- Emergence of Occidental Physics in the Seventeenth Century.
- | Author: Walter Greiner
- | Publisher: Springer
- | Publication Date: Dec 17, 2009
- | Number of Pages: 580 pages
- | Binding: Paperback or Softback
- | ISBN-10: 3642034330
- | ISBN-13: 9783642034336
