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Synopsis
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.
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- PublisherSpringer
- Publication date1997
- ISBN 10 3540638326
- ISBN 13 9783540638322
- BindingPaperback
- LanguageEnglish
- Number of pages518
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The Geometry of Ordinary Variational Equations
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Springer Berlin / Heidelberg, 1997
ISBN 10: 3540638326
ISBN 13: 9783540638322
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Geometry of Ordinary Variational Equations
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The Geometry of Ordinary Variational Equations (Lecture Notes in Mathematics, 1678)
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The Geometry of Ordinary Variational Equations.
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The Geometry of Ordinary Variational Equations
Published by
Springer Berlin Heidelberg Nov 1997, 1997
ISBN 10: 3540638326
ISBN 13: 9783540638322
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 264 pp. Englisch. Seller Inventory # 9783540638322
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