The Inverse Problem of the Calculus of Variations: Local and Global Theory: 2 (Atlantis Studies in Variational Geometry, 2) - Tapa dura

 
9789462391086: The Inverse Problem of the Calculus of Variations: Local and Global Theory: 2 (Atlantis Studies in Variational Geometry, 2)
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ISBN 10: 9462391084 ISBN 13: 9789462391086
Editorial: Atlantis Press, 2015

Sinopsis

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).

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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).

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Atlantis Press
Año de publicación
2015
Idioma
Inglés
ISBN 10 
9462391084
ISBN 13 
9789462391086
Encuadernación
Tapa dura
Número de páginas
300
Editor
Zenkov Dmitry V.
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9789462391109: The Inverse Problem of the Calculus of Variations: Local and Global Theory

Edición Destacada

ISBN 10:  9462391106 ISBN 13:  9789462391109
Editorial: Atlantis Press, 2015
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