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Nonlinear Mechanics: A Supplement to Theoretical Mechanics of Particles and Continua by Alexander L. Fetter,John Dirk Walecka ISBN: 0486450317 Dover Publications Price: $12.95 click here to see this book In their prior Dover book, Theoretical Mechanics of Particles and Continua, the authors provided a self-contained account of classical mechanics. This supplement and update offers a bridge to contemporary mechanics. The original book's focus on continuum mechanics forms the basis for this discussion of nonlinear continuous systems. 2006 edition. Dover original, a supplement and update of the authors' previous Dover book, Theoretical Mechanics of Particles and Continua. Table of Contents for Nonlinear Mechanics: A Supplement to Theoretical Mechanics of Particles and Continua Part 1. Introduction 1. Motivation Part 2. Nonlinear Continuous Systems 2. Linearized stability analysis 3. Rayleigh-Bénard problem: basic formulation 4. Rayleigh-Bénard problem: linearized theory of convective instability 5. Rayleigh-Bénard problem: expansion in Fourier modes 6. Lorenz equations: direct derivation for simple physical configuration Part 3. Discrete Dynamical Systems 7. Example of a nonlinear oscillator 8. Phase-space dynamics and fixed points 9. Lorenz model 10. M odel finite-difference equation: logistic map 11. Liouville's theorem revisited 12. Action-angle variables revisited 13. Perturbation of periodic Hamiltonian systems 14. Coupled separable periodic Hamiltonian systems Part 4. Problems References Index

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