{"product_id":"9789462391086","title":"The Inverse Problem of the Calculus of Variations","description":"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).\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2015\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eAtlantis Press\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: H\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 5738\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Dmitry V. Zenkov","offers":[{"title":"Default Title","offer_id":41264546021554,"sku":"9789462391086","price":140.39,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/9462391084.01_SCLZZZZZZZ.jpg?v=1635995470","url":"https:\/\/readabook.store\/products\/9789462391086","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}