The Geometry of Ordinary Variational Equations
The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential...
Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Formáid: | Livre numérique |
| Teanga: | Anglais |
| Foilsithe / Cruthaithe: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Sraith: | Lecture notes in mathematics
1678 |
| Ábhair: | |
| Rochtain ar líne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nóta: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The geometry of ordinary variational equations, Olga Krupková, Berlin, Springer-Verlag, 1997, 1 vol. (X-251 p.), Lecture notes in mathematics, 3-540-63832-6 • The Geometry of Ordinary Variational Equations, Texte imprimé, 9783662212707 |
| LEADER | 03177nam a22004097a 4500 | ||
|---|---|---|---|
| 001 | 969533 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155175130 | ||
| 020 | |a 9783540696575 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 515.353 | ||
| 100 | 1 | |a Krupková, Olga, |d 1960- | |
| 245 | 1 | 0 | |a The Geometry of Ordinary Variational Equations |c Olga Krupková. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1678 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Basic geometric tools -- Lagrangean dynamics on fibered manifolds -- Variational Equations -- Hamiltonian systems -- Regular Lagrangean systems -- Singular Lagrangean systems -- Symmetries of Lagrangean systems -- Geometric intergration methods -- Lagrangean systems on ?: R.M R. | |
| 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 The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations. | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Systèmes hamiltoniens | ||
| 650 | |a Mécanique | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Calcul des variations | ||
| 776 | 0 | |0 045566720 |t The geometry of ordinary variational equations |f Olga Krupková |c Berlin |n Springer-Verlag |d 1997 |p 1 vol. (X-251 p.) |s Lecture notes in mathematics |z 3-540-63832-6 | |
| 776 | 0 | |t The Geometry of Ordinary Variational Equations |b Texte imprimé |z 9783662212707 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093438 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-FNH7P1MJ-6 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750673044 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093438 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75402170X |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093438 |z Accès INSA CVL | |
| 997 | |0 969533 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||