Classical Mechanics

Classical Mechanics

From Particles to Continua and Regularity to Chaos

Krishnaswami, Govind S.

Springer Verlag, Singapore

10/2024

716

Dura

9789819744756

Pré-lançamento - envio 15 a 20 dias após a sua edição

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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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classical mechanics;Kepler problem;Hamiltonian;Lagrangian;variational principles;Poisson brackets;special relativity;nonlinear dynamics;rigid bodies;noninertial frames;angle-action variables;canonical transformations;Hamilton-Jacobi equation;normal modes;bifurcations;wave equation;Brownian motion;?uid dynamics;heat equation