000 | 02958nam a22004695i 4500 | ||
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001 | 978-3-540-45795-4 | ||
003 | DE-He213 | ||
005 | 20190213151616.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540457954 _9978-3-540-45795-4 |
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024 | 7 |
_a10.1007/b84214 _2doi |
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050 | 4 | _aQC19.2-20.85 | |
072 | 7 |
_aPHU _2bicssc |
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072 | 7 |
_aSCI040000 _2bisacsh |
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072 | 7 |
_aPHU _2thema |
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082 | 0 | 4 |
_a530.1 _223 |
100 | 1 |
_aMuniz Oliva, Waldyr. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aGeometric Mechanics _h[electronic resource] / _cby Waldyr Muniz Oliva. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aXII, 276 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 |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1798 |
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505 | 0 | _aIntroduction -- Differentiable manifolds -- Vector fields, differential forms and tensor fields -- Pseudo-riemannian manifolds -- Newtonian mechanics -- Mechanical systems on riemannian manifolds -- Mechanical Systems with non-holonomic constraints -- Hyperbolicity and Anosov systems -- Vakonomic mechanics -- Special relativity -- General relativity -- Appendix A: Hamiltonian and Lagrangian formalism -- Appendix B: Möbius transformations and the Lorentz group -- Appendix C: Quasi-Maxwell equations -- Appendix D: Viscosity solutions and Aubry-Mather theory. | |
520 | _aGeometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications. | ||
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 1 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540442424 |
776 | 0 | 8 |
_iPrinted edition: _z9783662162538 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1798 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b84214 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11263 _d11263 |