{"product_id":"9789462391086","title":"Atlantis Studies in Variational Geometry: Local and Global Theory","description":"\u003ch1\u003eAtlantis Studies in Variational Geometry: Local and Global Theory\u003c\/h1\u003e \u003ch2\u003eZenkov, Dmitry V.\u003c\/h2\u003e \u003cp\u003eThe 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).\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Atlantis Press\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-10-27\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9789462391086\u003c\/p\u003e \u003cp\u003eDOI: 10.2991\/978-94-6239-109-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 289\u003c\/p\u003e ","brand":"Atlantis Press","offers":[{"title":"Default Title","offer_id":46547643957388,"sku":"9789462391086","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789462391086.jpg?v=1775837419","url":"https:\/\/lateknightbooks.com\/products\/9789462391086","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}