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| 003 | ES-MaUEC | ||
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| 008 | 160302s2016 gw | s |||| 0|eng d | ||
| 020 | _a9783319283234 | ||
| 040 | _aES-MaUEC | ||
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_aQA315 _b.P747 2016 |
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| 082 | 0 | 4 | _a620 |
| 100 | 1 |
_aPreston, Serge. _998399 _0Local |
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| 245 | 1 | 0 |
_aNon-commuting Variations in Mathematics and Physics : _bA Survey _cby Serge Preston |
| 260 |
_aCham _bSpringer International Publishing _c2016 |
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| 300 |
_a1 recurso en línea (XIV, 235 páginas) _b11 ilustraciones |
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| 336 |
_aTexto _btxt _2rdacontent |
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| 337 |
_aelectrónico _bc _2rdamedia |
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| 338 |
_arecurso electrónico _bcr _2rdacarrier |
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| 490 | 0 |
_aInteraction of Mechanics and Mathematics _x1860-6245 |
|
| 505 | 0 | _aBasics of the Lagrangian Field Theory -- Lagrangian Field Theory with the Non-commuting (NC) Variations -- Vertical Connections in the Congurational Bundle and the NCvariations -- K-twisted Prolongations and -symmetries (by Works of Muriel,Romero -- Applications: Holonomic and Non-Holonomic Mechanics,H.KleinertAction Principle, Uniform Materials,and the Dissipative Potentials -- Material Time, NC-variations and the Material Aging -- Fiber Bundles and Their Geometrical Structures, Absolute Parallelism -- Jet Bundles, Contact Structures and Connections on Jet Bundles -- Lie Groups Actions on the Jet Bundles and the Systems of Differential Equations. | |
| 520 | 3 | _aThis text presents and studies the method of so �called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with non-commutative variations and shows that most basic properties of conventional Euler-Lagrange Equations are, with some modifications, preserved for EL-equations with K-twisted (defined by K)-variations. Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary). In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices I and II Furthermore in Appendix III a short presentation of the Noether Theorem describing the relation between the symmetries of the differential equations with dissipation and corresponding s balance laws is presented. | |
| 710 | 2 |
_aSpringerLink (Online service) _0Local _9106996 |
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| 942 |
_2lcc _cLE |
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| 988 | _aEBOOK, asignarmaterias , EBSPRINGER | ||
| 650 | 7 |
_aFísica matemática _0comprobar BNE19900969835 _2embne _9139231 |
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| 650 | 7 |
_9138325 _aMecánica _0comprobar BNE19900958451 _2embne |
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_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://link.springer.com/book/10.1007/978-3-319-28323-4 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid) |
| 901 | _ai9783319283234 | ||
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