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Classical Mechanics: Systems of Particles and Hamiltonian Dynamics

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Product Code: 9783642034336
ISBN13: 9783642034336
Condition: New
$118.37

Classical Mechanics: Systems of Particles and Hamiltonian Dynamics

$118.37
 
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
 

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