000 | 03089nam a22005295i 4500 | ||
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001 | 978-3-540-69657-5 | ||
003 | DE-He213 | ||
005 | 20190213151742.0 | ||
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 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBK _2thema |
|
082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aKrupková, Olga. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 4 |
_aThe Geometry of Ordinary Variational Equations _h[electronic resource] / _cby Olga Krupková. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _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 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aGlobal analysis. | |
650 | 0 | _aMechanics, applied. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
650 | 2 | 4 |
_aTheoretical and Applied Mechanics. _0http://scigraph.springernature.com/things/product-market-codes/T15001 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662212707 |
776 | 0 | 8 |
_iPrinted edition: _z9783540638322 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1678 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093438 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11766 _d11766 |