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Record Nr. |
UNINA9910146296003321 |
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Autore |
Krupková Olga <1960-> |
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Titolo |
The Geometry of Ordinary Variational Equations / / by Olga Krupkova |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997 |
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ISBN |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (CCLXIV, 254 p.) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 1678 |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Geometry, Differential |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Mechanics, Applied |
Analysis |
Differential Geometry |
Global Analysis and Analysis on Manifolds |
Engineering Mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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, |
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