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The Inverse Problem of the Calculus of Variations. Local and Global Theory.
Dmitry V. . Ed(S): Zenkov
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Description for The Inverse Problem of the Calculus of Variations. Local and Global Theory.
Hardback. The Inverse Problem of the Calculus of Variations Editor(s): Zenkov, Dmitry V. Series: Atlantis Studies in Variational Geometry. Num Pages: 298 pages, 3 colour illustrations, biography. BIC Classification: PBKQ; PBKS; PBMP; PHDV. Category: (G) General (US: Trade). Dimension: 235 x 155 x 18. Weight in Grams: 613.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2015
Publisher
Atlantis Press (Zeger Karssen) Netherlands
Number of pages
298
Condition
New
Series
Atlantis Studies in Variational Geometry
Number of Pages
289
Place of Publication
, Netherlands
ISBN
9789462391086
SKU
V9789462391086
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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