The Geometry of Ordinary Variational Equations

• Κύριος συγγραφέας: Krupkova, Olga (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Έκδοση: 1st ed. 1997.
• Σειρά: Lecture Notes in Mathematics, 1678
• Θέματα: Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mechanics.; Mechanics, Applied.; Analysis.; Differential Geometry.; Global Analysis and Analysis on Manifolds.; Theoretical and Applied Mechanics.

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...

Πίνακας περιεχομένων:

• 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.