大葉大學圖書館 |

The inverse problem of the calculus of variations[electronic resource] :local and global theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.64
書名/作者:	The inverse problem of the calculus of variations : local and global theory // edited by Dmitry V. Zenkov.
其他作者:	Zenkov, Dmitry V.
出版者:	Paris : : Atlantis Press :, 2015.
面頁冊數:	ix, 289 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Calculus of variations.
標題:	Differential equations.
標題:	Geometry, Differential.
標題:	Mathematics.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Global Analysis and Analysis on Manifolds.
標題:	Differential Geometry.
標題:	Classical and Quantum Gravitation, Relativity Theory.
ISBN:	9789462391093
ISBN:	9789462391086
內容註:	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.
摘要、提要註:	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)
電子資源:	http://dx.doi.org/10.2991/978-94-6239-109-3

The inverse problem of the calculus of variations[electronic resource] :local and global theory /
The inverse problem of the calculus of variationslocal and global theory /[electronic resource] :edited by Dmitry V. Zenkov. - Paris :Atlantis Press :2015. - ix, 289 p. :ill., digital ;24 cm. - Atlantis studies in variational geometry,v.22214-0700 ;. - Atlantis studies in variational geometry ;v.1..

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)

ISBN: 9789462391093

Standard No.: 10.2991/978-94-6239-109-3doiSubjects--Topical Terms:

380578
Calculus of variations.

LC Class. No.: QA315

Dewey Class. No.: 515.64

The inverse problem of the calculus of variations[electronic resource] :local and global theory /
LDR:02399nam a2200349 a 4500 001 444327
003 DE-He213
005 20160418151313.0
006 m d
007 cr nn 008maaau
008 160715s2015 fr s 0 eng d
020 $a 9789462391093 $q (electronic bk.)
020 $a 9789462391086 $q (paper)
024 7 $a 10.2991/978-94-6239-109-3 $2 doi
035 $a 978-94-6239-109-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA315
072 7 $a PBKQ $2 bicssc
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a MAT029020 $2 bisacsh
082 0 4 $a 515.64 $2 23
090 $a QA315 $b .I62 2015
245 0 4 $a The inverse problem of the calculus of variations $h [electronic resource] : $b local and global theory / $c edited by Dmitry V. Zenkov.
260 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2015.
300 $a ix, 289 p. : $b ill., digital ; $c 24 cm.
490 1 $a Atlantis studies in variational geometry, $x 2214-0700 ; $v 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 Calculus of variations. $3 380578
650 0 $a Differential equations. $3 189741
650 0 $a Geometry, Differential. $3 394220
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 464715
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 464933
650 2 4 $a Differential Geometry. $3 464898
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 464246
700 1 $a Zenkov, Dmitry V. $3 635778
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Atlantis studies in variational geometry ; $v v.1. $3 606459
856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-109-3
950 $a Mathematics and Statistics (Springer-11649)