Mostra el registre d'ítem simple
Geometric mechanics and Hamilton-Jacobi theory
| dc.contributor | Gràcia Sabaté, Francesc Xavier |
| dc.contributor.author | Urtiaga Erneta, Iñigo |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2017-02-02T12:06:42Z |
| dc.date.available | 2017-02-02T12:06:42Z |
| dc.date.issued | 2017-01 |
| dc.identifier.uri | http://hdl.handle.net/2117/100485 |
| dc.description.abstract | A review of analytical mechanics in the language of differential geometry is given. The classical formulations of Newton, Lagrange and Hamilton are discussed in detail, with special interest in the Hamilton-Jacobi equation. The latter is studied in a new framework, which allows to identify the interesting geometric structures underlying the classical Hamilton-Jacobi theory. Some relevant examples are analysed in this context. |
| dc.language.iso | eng |
| dc.publisher | Universitat Politècnica de Catalunya |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Hamiltonian systems |
| dc.subject.lcsh | Lagrange equations |
| dc.subject.other | Lagrangian mechanics |
| dc.subject.other | Hamiltonian mechanics |
| dc.subject.other | Hamilton-Jacobi equation |
| dc.subject.other | Slicing equation |
| dc.title | Geometric mechanics and Hamilton-Jacobi theory |
| dc.type | Bachelor thesis |
| dc.subject.lemac | Hamilton, Sistemes de |
| dc.subject.lemac | Lagrange, Equacions de |
| dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
| dc.identifier.slug | FME-967 |
| dc.rights.access | Open Access |
| dc.date.updated | 2017-01-27T07:02:25Z |
| dc.audience.educationlevel | Grau |
| dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
| dc.audience.degree | GRAU EN MATEMÀTIQUES (Pla 2009) |
