The Inverse Problem of the Calculus of Variations - Local and Global Theory (Hardcover, 1st ed. 2015)

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).

General

Imprint:	Atlantis Press (Zeger Karssen)
Country of origin:	Netherlands
Series:	Atlantis Studies in Variational Geometry, 2
Release date:	October 2015
First published:	2015
Editors:	Dmitry V. Zenkov
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	289
Edition:	1st ed. 2015
ISBN-13:	978-9462391086
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Physics > Classical mechanics > General Promotions
LSN:	9462391084
Barcode:	9789462391086

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