| 000 | 03849nam a22005895i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-08885-8 | ||
| 003 | DE-He213 | ||
| 005 | 20240730165301.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220831s2022 sz | s |||| 0|eng d | ||
| 020 |
_a9783031088858 _9978-3-031-08885-8 |
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| 024 | 7 |
_a10.1007/978-3-031-08885-8 _2doi |
|
| 050 | 4 | _aQA641-670 | |
| 072 | 7 |
_aPBMP _2bicssc |
|
| 072 | 7 |
_aMAT012030 _2bisacsh |
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| 072 | 7 |
_aPBMP _2thema |
|
| 082 | 0 | 4 |
_a516.36 _223 |
| 100 | 1 |
_aNeagu, Mircea. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _988220 |
|
| 245 | 1 | 0 |
_aDual Jet Geometrization for Time-Dependent Hamiltonians and Applications _h[electronic resource] / _cby Mircea Neagu, Alexandru Oană. |
| 250 | _a1st ed. 2022. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2022. |
|
| 300 |
_aXII, 87 p. 1 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aThe dual 1-jet space -- N-linear connections -- h-Normal N-linear connections -- Distinguished geometrization of the time-dependent Hamiltonians of momenta -- The time-dependent Hamiltonian of the least squares variational method -- Time-dependent Hamiltonian of electrodynamics -- The geometry of conformal Hamiltonian of the time-dependent coupled harmonic oscillators -- On the dual jet conformal Minkowski Hamiltonian. | |
| 520 | _aThis book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems. Provides interdisciplinary geometric models in differential geometry, analytical mechanics, dynamical systems, electrodynamics, economics, and theoretical and mathematical physics Structured in two parts to present both the geometrical theory and the applicative models Studies the differential geometry of spaces in which the metric used for measuring changes in function of time and momentum. | ||
| 650 | 0 |
_aGeometry, Differential. _988221 |
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| 650 | 0 |
_aMathematical physics. _911013 |
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| 650 | 0 |
_aDynamical systems. _988223 |
|
| 650 | 0 |
_aDynamics. _988225 |
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| 650 | 0 |
_aNonlinear theories. _93339 |
|
| 650 | 0 |
_aElectrodynamics. _93703 |
|
| 650 | 1 | 4 |
_aDifferential Geometry. _932082 |
| 650 | 2 | 4 |
_aMathematical Physics. _911013 |
| 650 | 2 | 4 |
_aDynamical Systems. _988230 |
| 650 | 2 | 4 |
_aApplied Dynamical Systems. _932005 |
| 650 | 2 | 4 |
_aClassical Electrodynamics. _931625 |
| 700 | 1 |
_aOană, Alexandru. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _988233 |
|
| 710 | 2 |
_aSpringerLink (Online service) _988234 |
|
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031088841 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031088865 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031088872 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _988235 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-08885-8 |
| 912 | _aZDB-2-SXSC | ||
| 942 | _cEBK | ||
| 999 |
_c86219 _d86219 |
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