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[null,"1.","Record Nr.",null,"UNINA9910146296003321"]
[null,null,"Autore",null,"Krupková Olga <1960->"]
[null,null,"Titolo",null,"The Geometry of Ordinary Variational Equations / / by Olga Krupkova"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997"]
[null,null,"ISBN",null,"3-540-69657-1"]
[null,null,"Edizione",null,"[1st ed. 1997.]"]
[null,null,"Descrizione fisica",null,"1 online resource (CCLXIV, 254 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 1617-9692 ; ; 1678"]
[null,null,"Disciplina",null,"515"]
[null,null,"Soggetti",null,"Mathematical analysis"]
[{"$nulls":4},"Geometry, Differential"]
[{"$nulls":4},"Global analysis (Mathematics)"]
[{"$nulls":4},"Manifolds (Mathematics)"]
[{"$nulls":4},"Mechanics, Applied"]
[{"$nulls":4},"Analysis"]
[{"$nulls":4},"Differential Geometry"]
[{"$nulls":4},"Global Analysis and Analysis on Manifolds"]
[{"$nulls":4},"Engineering Mechanics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Basic geometric tools -- Lagrangean dynamics on fibered manifolds -- Variational Equations -- Hamiltonian systems -- Regular Lagrangean systems -- Singular Lagrangean systems -- Symmetries of Lagrangean systems -- Geometric integration methods -- Lagrangean systems on ?: R×M»R."]
[null,null,null,"Sommario/riassunto","The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations."]