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Krupkova

The Geometry of Ordinary Variational Equations

Medium: Buch
ISBN: 978-3-540-63832-2
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 27.11.1997
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783540638322
  • Medium: Buch
  • ISBN: 978-3-540-63832-2
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 27.11.1997
  • Sprache(n): Englisch
  • Auflage: 1997
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 406 g
  • Seiten: 254
  • Format (B x H x T): 155 x 235 x 15 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.