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Hamiltonian dynamics /
This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Vilasi, Gaetano. | |
| 245 | 1 | 0 | |a Hamiltonian dynamics / |c Gaetano Vilasi. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2001. | ||
| 300 | |a 1 online resource (xv, 440 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 504 | |a Includes bibliographical references (pages 427-436) and index. | ||
| 505 | 0 | |a Cover -- Contents -- Preface -- Introduction -- I Analytical Mechanics -- 1 The Lagrangian Coordinates -- 1.1 A Primer for Various Formulations of Dynamics -- 1.2 Constraints -- 1.3 Degrees of Freedom and Lagrangian Coordinates -- 1.4 The Calculus of Variations and the Lagrange Equations -- 1.5 Remarks on Lagrange's Equations -- 2 Hamiltonian Systems -- 2.1 The Legendre Transformation -- 2.2 The Hamilton Equations -- 2.3 The Poisson Bracket and the Jacobi-Poisson Theorem -- 2.4 A More Compact Form of The Hamiltonian Dynamics -- 2.5 The Variational Principle for the Hamilton Equations -- 3 Transformation Theory -- 3.1 Canonical, Completely Canonical and Symplectic Transformations -- 3.2 A New Characterization of Completely Canonical Transformations -- 3.3 New Characterization of Sympletic Transformations -- 4 The Integration Methods -- 4.1 Integrals Invariants of a Differential System -- 4.2 A Primer on the Lie Derivative -- 4.3 The Kepler Dynamics. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity. As a m. | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Hamiltonian systems. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Field theory (Physics) | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Systèmes hamiltoniens. | |
| 650 | 6 | |a Géométrie différentielle. | |
| 650 | 6 | |a Théorie des champs (Physique) | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 0 | 7 | |a Geometry, Differential. |2 cct |
| 650 | 0 | 7 | |a Field theory (Physics) |2 cct |
| 650 | 0 | 7 | |a Mathematical physics. |2 cct |
| 650 | 0 | 7 | |a Systemes hamiltoniens. |2 cct |
| 650 | 0 | 7 | |a Geometrie differentielle. |2 cct |
| 650 | 0 | 7 | |a Champs, Theorie des (Physique) |2 cct |
| 650 | 0 | 7 | |a Physique mathematique. |2 cct |
| 650 | 0 | 7 | |a Hamiltonian systems. |2 cct |
| 650 | 7 | |a Field theory (Physics) |2 fast | |
| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Hamiltonian systems |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 758 | |i has work: |a Hamiltonian dynamics (Work) |1 https://id.oclc.org/worldcat/entity/E39PCFWwF44CxBFY4Ppk8GTHQ3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Vilasi, Gaetano. |t Hamiltonian dynamics. |d Singapore ; River Edge, N.J. : World Scientific, ©2001 |z 9810233086 |w (DLC) 98044390 |w (OCoLC)39890489 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681590 |z Texto completo |
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