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Nonlinear Mechanics Vital Source e-bog
Alexander L. Fetter
(2012)
Dover Publications
170,00 kr.
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Nonlinear Mechanics
A Supplement to Theoretical Mechanics of Particles and Continua
Alexander L. Fetter og John Dirk Walecka
(2006)
Sprog: Engelsk
Dover Publications, Incorporated
147,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages): 160 sider
- Udgiver: Dover Publications (Maj 2012)
- ISBN: 9780486136998
In their prior Dover book, Theoretical Mechanics of Particles and Continua, Alexander L. Fetter and John Dirk Walecka provided a lucid and self-contained account of classical mechanics, together with appropriate mathematical methods. This supplement—an update of that volume—offers a bridge to contemporary mechanics. The original book's focus on continuum mechanics—with chapters on sound waves in fluids, surface waves on fluids, heat conduction, and viscous fluids—forms the basis for this supplement's discussion of nonlinear continuous systems. Topics include linearized stability analysis; a detailed examination of the Rayleigh-Bénard problem, from its formulation to issues of linearized theory of convective instability and expansion in Fourier modes; and the direct derivation of Lorenz equations for simple physical configuration. The first half of the original text deals with particle mechanics, and this supplement returns to the study of systems with a finite number of degrees of freedom. A concluding section presents a series of problems that reinforce the supplement's teachings.
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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 154 sider
- Udgiver: Dover Publications, Incorporated (Juni 2006)
- Forfattere: Alexander L. Fetter og John Dirk Walecka
- ISBN: 9780486450315
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.
Part 1. Introduction1. MotivationPart 2. Nonlinear Continuous Systems2. Linearized stability analysis3. Rayleigh-Bénard problem: basic formulation4. Rayleigh-Bénard problem: linearized theory of convective instability5. Rayleigh-Bénard problem: expansion in Fourier modes6. Lorenz equations: direct derivation for simple physical configurationPart 3. Discrete Dynamical Systems7. Example of a nonlinear oscillator8. Phase-space dynamics and fixed points9. Lorenz model10. M odel finite-difference equation: logistic map11. Liouville's theorem revisited12. Action-angle variables revisited13. Perturbation of periodic Hamiltonian systems14. Coupled separable periodic Hamiltonian systemsPart 4. ProblemsReferencesIndex
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