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The Geometry of Ordinary Variational Equations / by Olga Krupková.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Krupková, Olga, 1960- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1678.
- Lecture Notes in Mathematics, 0075-8434 ; 1678
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Global differential geometry.
- Mechanics, Applied.
- Analysis.
- Differential Geometry.
- Global Analysis and Analysis on Manifolds.
- Theoretical and Applied Mechanics.
- Local Subjects:
- Analysis.
- Differential Geometry.
- Global Analysis and Analysis on Manifolds.
- Theoretical and Applied Mechanics.
- Physical Description:
- 1 online resource (CCLXIV, 254 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
- System Details:
- text file PDF
- Summary:
- 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, et cetera, 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.
- Contents:
- Basic geometric tools
- Lagrangean dynamics on fibered manifolds
- Variational Equations
- Hamiltonian systems
- Regular Lagrangean systems
- Singular Lagrangean systems
- Symmetries of Lagrangean systems
- Geometric intergration methods
- Lagrangean systems on ?: R×M»R.
- Other Format:
- Printed edition:
- ISBN:
- 9783540696575
- Access Restriction:
- Restricted for use by site license.
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