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03336nam a22005775i 4500 |
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978-94-6239-109-3 |
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DE-He213 |
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20151204150743.0 |
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cr nn 008mamaa |
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151015s2015 fr | s |||| 0|eng d |
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|a 9789462391093
|9 978-94-6239-109-3
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|a 10.2991/978-94-6239-109-3
|2 doi
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|d GrThAP
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|a QA315-316
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|a QA402.5-QA402.6
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|a 515.64
|2 23
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|a The Inverse Problem of the Calculus of Variations
|h [electronic resource] :
|b Local and Global Theory /
|c edited by Dmitry V. Zenkov.
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| 250 |
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|a 1st ed. 2015.
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| 264 |
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1 |
|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2015.
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| 300 |
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|a IX, 289 p. 3 illus. in color.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Atlantis Studies in Variational Geometry,
|x 2214-0700 ;
|v 2
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| 505 |
0 |
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|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.
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| 520 |
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|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).
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| 650 |
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0 |
|a Mathematics.
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| 650 |
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0 |
|a Global analysis (Mathematics).
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| 650 |
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0 |
|a Manifolds (Mathematics).
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| 650 |
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0 |
|a Differential geometry.
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| 650 |
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0 |
|a Calculus of variations.
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| 650 |
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0 |
|a Gravitation.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Calculus of Variations and Optimal Control; Optimization.
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| 650 |
2 |
4 |
|a Global Analysis and Analysis on Manifolds.
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| 650 |
2 |
4 |
|a Differential Geometry.
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| 650 |
2 |
4 |
|a Classical and Quantum Gravitation, Relativity Theory.
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| 700 |
1 |
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|a Zenkov, Dmitry V.
|e editor.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9789462391086
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| 830 |
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0 |
|a Atlantis Studies in Variational Geometry,
|x 2214-0700 ;
|v 2
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.2991/978-94-6239-109-3
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|
