000 | 02904nam a22005175i 4500 | ||
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001 | 978-0-387-38905-9 | ||
003 | DE-He213 | ||
005 | 20161121231038.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 xxu| s |||| 0|eng d | ||
020 |
_a9780387389059 _9978-0-387-38905-9 |
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024 | 7 |
_a10.1007/978-0-387-38905-9 _2doi |
|
050 | 4 | _aQB460-466 | |
072 | 7 |
_aPHVB _2bicssc |
|
072 | 7 |
_aSCI005000 _2bisacsh |
|
082 | 0 | 4 |
_a523.01 _223 |
100 | 1 |
_aFerraz-Mello, Sylvio. _eauthor. |
|
245 | 1 | 0 |
_aCanonical Perturbation Theories _h[electronic resource] : _bDegenerate Systems and Resonance / _cby Sylvio Ferraz-Mello. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2007. |
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300 |
_aXIV, 346 p. 60 illus. _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 |
_aAstrophysics and Space Science Library, _x0067-0057 ; _v345 |
|
505 | 0 | _aThe Hamilton-Jacobi Theory -- Angle-Action Variables. Separable Systems -- Classical Perturbation Theories -- Resonance -- Lie Mappings -- Lie Series Perturbation Theory -- Non-Singular Canonical Variables -- Lie Series Theory for Resonant Systems -- Single Resonance near a Singularity -- Nonlinear Oscillators. | |
520 | _aCanonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori’s Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay. Also covered are Kolmogorov’s frequency relocation method to avoid small divisors, the construction of action-angle variables for integrable systems, and a complete overview of some problems in Classical Mechanics. Sylvio Ferraz-Mello makes these ideas accessible not only to Astronomers, but also to those in the related fields of Physics and Mathematics. | ||
650 | 0 | _aPhysics. | |
650 | 0 | _aApplied mathematics. | |
650 | 0 | _aEngineering mathematics. | |
650 | 0 | _aObservations, Astronomical. | |
650 | 0 |
_aAstronomy _xObservations. |
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650 | 0 | _aAstrophysics. | |
650 | 1 | 4 | _aPhysics. |
650 | 2 | 4 | _aAstrophysics and Astroparticles. |
650 | 2 | 4 | _aTheoretical, Mathematical and Computational Physics. |
650 | 2 | 4 | _aAstronomy, Observations and Techniques. |
650 | 2 | 4 | _aApplications of Mathematics. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9780387389004 |
830 | 0 |
_aAstrophysics and Space Science Library, _x0067-0057 ; _v345 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-38905-9 |
912 | _aZDB-2-PHA | ||
950 | _aPhysics and Astronomy (Springer-11651) | ||
999 |
_c507744 _d507744 |