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Viser: Lagrangian and Hamiltonian Dynamics
Lagrangian and Hamiltonian Dynamics Vital Source e-bog
Peter Mann
(2018)
Lagrangian and Hamiltonian Dynamics Vital Source e-bog
Peter Mann
(2018)
Lagrangian and Hamiltonian Dynamics Vital Source e-bog
Peter Mann
(2018)
Lagrangian and Hamiltonian Dynamics Vital Source e-bog
Peter Mann
(2018)
Lagrangian and Hamiltonian Dynamics
Peter Mann
(2018)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Vital Source 365 day rentals (fixed pages)
- Udgiver: Oxford University Press (Maj 2018)
- ISBN: 9780192555410R365
Bookshelf online: 365 dage fra købsdato.
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- Vital Source 180 day rentals (fixed pages)
- Udgiver: Oxford University Press (Maj 2018)
- ISBN: 9780192555410R180
Bookshelf online: 180 dage fra købsdato.
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- Vital Source 1460 day rentals (fixed pages)
- Udgiver: Oxford University Press (Maj 2018)
- ISBN: 9780192555410R1460
Bookshelf online: 1460 dage fra købsdato.
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Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Oxford University Press (Maj 2018)
- ISBN: 9780192555410
Bookshelf online: 365 dage fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
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Detaljer om varen
- Hardback: 560 sider
- Udgiver: Oxford University Press (Juni 2018)
- ISBN: 9780198822370
Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications.
The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry.
Part I: Newtonian Mechanics1. Introduction2. Newton's Three Laws3. Energy and Work4. Introductory Rotational Dynamics5. The Harmonic Oscillator6. Wave Mechanics & Elements of Mathematical PhysicsPart II: Langrangian Mechanics7. Introduction8. Coordinates & Constraints9. The Stationary Action Principle10. Constrained Langrangian Mechanics11. Point Transformations in Langrangian Mechanics12. The Jacobi Energy Function13. Symmetries & Langrangian-Hamiltonian-Jacobi Theory14. Near-Equilibrium Oscillations15. Virtual Work & d'Alembert's PrinciplePart III: Canonical Mechanics16. Introduction17. The Hamiltonian & Phase Space18. Hamiltonian's equations & Routhian Reduction19. Poisson Brackets & Angular momentum20. Canonical & Gauge Transformations21. Hamilton-Jacobi Theory22. Liouville's Theorem & Classical Statistical Mechanics23. Constrained Hamiltonian Dynamics24. Autonomous Geometrical Mehcanics25. The Structure of Phase Space26. Near-Integrable SystemsPart IV: Classical Field Theory27. Introduction28. Langrangian Field Theory29. Hamiltonian Field Theory30. Clssical Electromagnetism31. Neother's Theorem for Fields32. Classical Path-IntegralsPart V: Preliminary Mathematics33. The (Not so?) Basics34. Matrices35. Partial Differentiation36. Legendre Transformations37. Vector Calculus38. Differential equations39. Calculus of VariationsPart VI: Advanced Mathematics40. Linear Algebra41. Differential GeometryPart VII: Exam Style QuestionsAppendix A. Noether's Theorem ExploredAppendix B. The Action Principle ExploredAppendix C. Useful RelationsAppendxi D. Poisson & Nambu Brackets ExploredAppendix. Canonical Transformations ExploredAppendix F. Action-Angle Variables ExploredAppendix G. Statistical Mechanics ExploredAppendix H. Biographies