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The Inverse Problem of the Calculus of Variations - Local and Global Theory (Hardcover, 1st ed. 2015) Loot Price: R2,678
Discovery Miles 26 780
The Inverse Problem of the Calculus of Variations - Local and Global Theory (Hardcover, 1st ed. 2015): Dmitry V. Zenkov

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

Dmitry V. Zenkov

Series: Atlantis Studies in Variational Geometry, 2

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Loot Price R2,678 Discovery Miles 26 780 | Repayment Terms: R251 pm x 12*

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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
LSN: 9462391084
Barcode: 9789462391086

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