Geometric Mechanics
Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanic...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1798 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric mechanics, Waldyr Muniz Oliva, 2002, Berlin, Springer, 1 vol. (XI-270 p.), Lecture notes in mathematics, 3-540-44242-1 • Geometric Mechanics, Texte imprimé, 9783662162538 • Geometric Mechanics, Texte imprimé, 9783662601495 |
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|---|---|---|---|
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| 009 | PPN155206605 | ||
| 020 | |a 9783540457954 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 530 | ||
| 082 | |a 516.36 | ||
| 100 | 1 | |a Oliva, Waldyr M., |d 1930- | |
| 245 | 1 | 0 | |a Geometric Mechanics |c Waldyr Muniz Oliva. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1798 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Differentiable manifolds -- Vector fields, differential forms and tensor fields -- Pseudo-riemannian manifolds -- Newtonian mechanics -- Mechanical systems on riemannian manifolds -- Mechanical Systems with non-holonomic constraints -- Hyperbolicity and Anosov systems -- Vakonomic mechanics -- Special relativity -- General relativity -- Appendix A: Hamiltonian and Lagrangian formalism -- Appendix B: Möbius transformations and the Lorentz group -- Appendix C: Quasi-Maxwell equations -- Appendix D: Viscosity solutions and Aubry-Mather theory. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications. | ||
| 650 | |a Mécanique analytique | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 072307617 |t Geometric mechanics |f Waldyr Muniz Oliva |d 2002 |c Berlin |n Springer |p 1 vol. (XI-270 p.) |s Lecture notes in mathematics |z 3-540-44242-1 | |
| 776 | 0 | |t Geometric Mechanics |b Texte imprimé |z 9783662162538 | |
| 776 | 0 | |t Geometric Mechanics |b Texte imprimé |z 9783662601495 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b84214 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-W86ST4MV-C |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750652861 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b84214 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754003108 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b84214 |z Accès INSA CVL | |
| 997 | |0 971409 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||