| 000 | 02699nam a22005055i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-69657-5 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101833.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1997 gw | s |||| 0|eng d | ||
| 020 |
_a9783540696575 _9978-3-540-69657-5 |
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| 024 | 7 |
_a10.1007/BFb0093438 _2doi |
|
| 050 | 4 | _aQA641-670 | |
| 072 | 7 |
_aPBMP _2bicssc |
|
| 072 | 7 |
_aMAT012030 _2bisacsh |
|
| 082 | 0 | 4 |
_a516.36 _223 |
| 100 | 1 |
_aKrupková, Olga. _eauthor. |
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| 245 | 1 | 4 |
_aThe Geometry of Ordinary Variational Equations _h[electronic resource] / _cby Olga Krupková. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997. |
|
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997. |
|
| 300 |
_aCCLXIV, 254 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1678 |
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| 505 | 0 | _aBasic 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. | |
| 520 | _aThe 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGlobal analysis. | |
| 650 | 0 | _aGlobal differential geometry. | |
| 650 | 0 | _aMechanics, applied. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aDifferential Geometry. |
| 650 | 2 | 4 | _aGlobal Analysis and Analysis on Manifolds. |
| 650 | 2 | 4 | _aTheoretical and Applied Mechanics. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540638322 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1678 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0093438 |
| 942 |
_2EBK1820 _cEBK |
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| 999 |
_c31114 _d31114 |
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