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The Inverse Problem of the Calculus of Variations Local and Global Theory /
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Atlantis Studies in Variational Geometry,
2 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-94-6239-109-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220116234242.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 151015s2015 fr | s |||| 0|eng d | ||
| 020 | |a 9789462391093 |9 978-94-6239-109-3 | ||
| 024 | 7 | |a 10.2991/978-94-6239-109-3 |2 doi | |
| 050 | 4 | |a QA402.5-402.6 | |
| 050 | 4 | |a QA315-316 | |
| 072 | 7 | |a PBU |2 bicssc | |
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| 082 | 0 | 4 | |a 515.64 |2 23 |
| 245 | 1 | 4 | |a The Inverse Problem of the Calculus of Variations |h [electronic resource] : |b Local and Global Theory / |c edited by Dmitry V. Zenkov. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2015. | |
| 300 | |a IX, 289 p. 3 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Studies in Variational Geometry, |x 2214-0719 ; |v 2 | |
| 505 | 0 | |a The Helmholtz Conditions and the Method of Controlled Lagrangians -- The Sonin-Douglas Problem -- Inverse Variational Problem and Symmetry in Action: The Relativistic Third Order Dynamics -- Variational Principles for Immersed Submanifolds -- Source Forms and their Variational Completions -- First-Order Variational Sequences in Field Theory. | |
| 520 | |a The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban). | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Gravitation. | |
| 650 | 1 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Classical and Quantum Gravity. |
| 700 | 1 | |a Zenkov, Dmitry V. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789462391086 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462391109 |
| 830 | 0 | |a Atlantis Studies in Variational Geometry, |x 2214-0719 ; |v 2 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-6239-109-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||