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Book Synopsis

Mechanical systems with one degree of freedom.- Kepler's gravitational two-body problem.- Newtonian to Lagrangian and Hamiltonian mechanics.- Introduction to special relativistic mechanics.- Dynamics viewed as a vector ?eld on state space.- Small oscillations for one degree of freedom.- Nonlinear oscillations: pendulum and anharmonic oscillator.- Rigid body mechanics.- Motion in noninertial frames of reference.- Canonical transformations.- Angle-action variables.- Hamilton-Jacobi equation.- Normal modes of oscillation and linear stability.- Bifurcations: qualitative changes in dynamics.- From regular to chaotic motion.- Dynamics of continuous deformable media.- Vibrations of a stretched string and the wave equation.- Heat diffusion equation and Brownian motion.- Introduction to ?uid mechanics.

Classical Mechanics

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    A Hardback by Govind S. Krishnaswami

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      Publisher: Springer
      Publication Date: 4/25/2025
      ISBN13: 9789819744756, 978-9819744756
      ISBN10: 981974475X
      Also in:
      Classical mechanics

      Description

      Book Synopsis

      Mechanical systems with one degree of freedom.- Kepler's gravitational two-body problem.- Newtonian to Lagrangian and Hamiltonian mechanics.- Introduction to special relativistic mechanics.- Dynamics viewed as a vector ?eld on state space.- Small oscillations for one degree of freedom.- Nonlinear oscillations: pendulum and anharmonic oscillator.- Rigid body mechanics.- Motion in noninertial frames of reference.- Canonical transformations.- Angle-action variables.- Hamilton-Jacobi equation.- Normal modes of oscillation and linear stability.- Bifurcations: qualitative changes in dynamics.- From regular to chaotic motion.- Dynamics of continuous deformable media.- Vibrations of a stretched string and the wave equation.- Heat diffusion equation and Brownian motion.- Introduction to ?uid mechanics.

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