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The Inverse Problem of the Calculus of Variations : Local and Global Theory / edited by Dmitry V. Zenkov
(Atlantis Studies in Variational Geometry. ISSN:22140719 ; 2)
版 | 1st ed. 2015. |
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出版者 | Paris : Atlantis Press : Imprint: Atlantis Press |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | IX, 289 p. 3 illus. in color : online resource |
著者標目 | Zenkov, Dmitry V editor SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential LCSH:Gravitation FREE:Calculus of Variations and Optimization FREE:Global Analysis and Analysis on Manifolds FREE:Differential Geometry FREE:Classical and Quantum Gravity |
一般注記 | 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 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) HTTP:URL=https://doi.org/10.2991/978-94-6239-109-3 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789462391093 |
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電子リソース |
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EB00228711 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA402.5-402.6 LCC:QA315-316 DC23:519.6 DC23:515.64 |
書誌ID | 4000116177 |
ISBN | 9789462391093 |
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