|
|
|
|
LEADER |
02167nmm a2200361 u 4500 |
001 |
EB000659669 |
003 |
EBX01000000000000000512751 |
005 |
00000000000000.0 |
007 |
cr||||||||||||||||||||| |
008 |
140122 ||| eng |
020 |
|
|
|a 9783540696575
|
100 |
1 |
|
|a Krupkova, Olga
|
245 |
0 |
0 |
|a The Geometry of Ordinary Variational Equations
|h Elektronische Ressource
|c by Olga Krupkova
|
250 |
|
|
|a 1st ed. 1997
|
260 |
|
|
|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1997, 1997
|
300 |
|
|
|a CCLXIV, 254 p
|b online resource
|
505 |
0 |
|
|a 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.
|
653 |
|
|
|a Mechanics, Applied
|
653 |
|
|
|a Geometry, Differential
|
653 |
|
|
|a Mathematical analysis
|
653 |
|
|
|a Engineering Mechanics
|
653 |
|
|
|a Analysis
|
653 |
|
|
|a Manifolds (Mathematics)
|
653 |
|
|
|a Differential Geometry
|
653 |
|
|
|a Global analysis (Mathematics)
|
653 |
|
|
|a Global Analysis and Analysis on Manifolds
|
041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
989 |
|
|
|b SBA
|a Springer Book Archives -2004
|
490 |
0 |
|
|a Lecture Notes in Mathematics
|
028 |
5 |
0 |
|a 10.1007/BFb0093438
|
856 |
4 |
0 |
|u https://doi.org/10.1007/BFb0093438?nosfx=y
|x Verlag
|3 Volltext
|
082 |
0 |
|
|a 515
|
520 |
|
|
|a 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
|