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- catalog abstract "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.".
- catalog contributor b10587286.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description "From the Contents: Introduction -- Basic Geometric Tools -- Lagrangian Dynamics on Fibered Manifolds -- Variational Equations -- Hamiltonian Systems -- Regular Lagrangian Systems -- Singular Lagrangian Systems -- Symmetries of Lagrangian Systems -- Geometric Integration Methods -- Lagrangian Systems on ... : R x M --> R (siehe separate Kopie fuer math. Formel).".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog extent "x, 251 p. ;".
- catalog identifier "3540638326 (alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1678.".
- catalog isPartOf "Lecture notes in mathematics ; 1678".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "510 s 515/.352 21".
- catalog subject "Calculus of variations.".
- catalog subject "Differential equations.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Global differential geometry.".
- catalog subject "Hamiltonian systems.".
- catalog subject "Mathematics.".
- catalog subject "Mechanics, applied.".
- catalog subject "QA3 .L28 no. 1678 QA372".
- catalog tableOfContents "From the Contents: Introduction -- Basic Geometric Tools -- Lagrangian Dynamics on Fibered Manifolds -- Variational Equations -- Hamiltonian Systems -- Regular Lagrangian Systems -- Singular Lagrangian Systems -- Symmetries of Lagrangian Systems -- Geometric Integration Methods -- Lagrangian Systems on ... : R x M --> R (siehe separate Kopie fuer math. Formel).".
- catalog title "The geometry of ordinary variational equations / Olga Krupková.".
- catalog type "text".