Hamiltonian dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©2001
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 427-436) and index 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 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 |
| Beschreibung: | 1 Online-Ressource (xv, 440 pages) |
| ISBN: | 1281869961 9781281869968 9789810233082 9789812386311 9810233086 9812386319 |
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| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Hamiltonian systems |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Hamiltonian systems | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Field theory (Physics) | |
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Datensatz im Suchindex
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|---|---|
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| author | Vilasi, Gaetano |
| author_facet | Vilasi, Gaetano |
| author_role | aut |
| author_sort | Vilasi, Gaetano |
| author_variant | g v gv |
| building | Verbundindex |
| bvnumber | BV043079799 |
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| dewey-full | 514/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.74 |
| dewey-search | 514/.74 |
| dewey-sort | 3514 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043079799 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:48Z |
| institution | BVB |
| isbn | 1281869961 9781281869968 9789810233082 9789812386311 9810233086 9812386319 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028503991 |
| oclc_num | 53194496 |
| open_access_boolean | |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xv, 440 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Vilasi, Gaetano Verfasser aut Hamiltonian dynamics Gaetano Vilasi Singapore World Scientific ©2001 1 Online-Ressource (xv, 440 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 427-436) and index 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 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 Systèmes hamiltoniens Géométrie différentielle Champs, Théorie des (Physique) Physique mathématique MATHEMATICS / Topology bisacsh Geometry, Differential cct Field theory (Physics) cct Mathematical physics cct Systemes hamiltoniens cct Geometrie differentielle cct Champs, Theorie des (Physique) cct Physique mathematique cct Hamiltonian systems cct Field theory (Physics) fast Geometry, Differential fast Hamiltonian systems fast Mathematical physics fast Mathematische Physik Hamiltonian systems Geometry, Differential Field theory (Physics) Mathematical physics Hamilton-Formalismus (DE-588)4376155-0 gnd rswk-swf Hamilton-Formalismus (DE-588)4376155-0 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=91450 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vilasi, Gaetano Hamiltonian dynamics Systèmes hamiltoniens Géométrie différentielle Champs, Théorie des (Physique) Physique mathématique MATHEMATICS / Topology bisacsh Geometry, Differential cct Field theory (Physics) cct Mathematical physics cct Systemes hamiltoniens cct Geometrie differentielle cct Champs, Theorie des (Physique) cct Physique mathematique cct Hamiltonian systems cct Field theory (Physics) fast Geometry, Differential fast Hamiltonian systems fast Mathematical physics fast Mathematische Physik Hamiltonian systems Geometry, Differential Field theory (Physics) Mathematical physics Hamilton-Formalismus (DE-588)4376155-0 gnd |
| subject_GND | (DE-588)4376155-0 |
| title | Hamiltonian dynamics |
| title_auth | Hamiltonian dynamics |
| title_exact_search | Hamiltonian dynamics |
| title_full | Hamiltonian dynamics Gaetano Vilasi |
| title_fullStr | Hamiltonian dynamics Gaetano Vilasi |
| title_full_unstemmed | Hamiltonian dynamics Gaetano Vilasi |
| title_short | Hamiltonian dynamics |
| title_sort | hamiltonian dynamics |
| topic | Systèmes hamiltoniens Géométrie différentielle Champs, Théorie des (Physique) Physique mathématique MATHEMATICS / Topology bisacsh Geometry, Differential cct Field theory (Physics) cct Mathematical physics cct Systemes hamiltoniens cct Geometrie differentielle cct Champs, Theorie des (Physique) cct Physique mathematique cct Hamiltonian systems cct Field theory (Physics) fast Geometry, Differential fast Hamiltonian systems fast Mathematical physics fast Mathematische Physik Hamiltonian systems Geometry, Differential Field theory (Physics) Mathematical physics Hamilton-Formalismus (DE-588)4376155-0 gnd |
| topic_facet | Systèmes hamiltoniens Géométrie différentielle Champs, Théorie des (Physique) Physique mathématique MATHEMATICS / Topology Geometry, Differential Field theory (Physics) Mathematical physics Systemes hamiltoniens Geometrie differentielle Champs, Theorie des (Physique) Physique mathematique Hamiltonian systems Mathematische Physik Hamilton-Formalismus |
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| work_keys_str_mv | AT vilasigaetano hamiltoniandynamics |