000			02646cam a22002777a 4500
003			BYT
005			20171003110642.0
008			060511s2006 gw a b 001 0 eng d
020			_a9783540345633
020			_a3540345639
040			_aBYT _cLWU _dBAKER _dBYT _dDLC
082	0	4	_222 _a515.352
100	1		_aArnolʹd, V. I. _q(Vladimir Igorevich), _d1937-2010 _92259
245	1	0	_aOrdinary differential equations / _cVladimir I. Arnold ; translated from the Russian by Roger Cooke.
250			_a1st ed., 2nd printing.
260			_aBerlin ; _aNew York : _bSpringer, _c2006.
300			_a334 pages : _billustrations. ; _c24 cm.
490			_aUniversitext
500			_aTranslation of: Obyknovennye differentsialʹnye uravneniya. 3rd ed.
504			_aIncludes bibliographical references and index.
505	2		_aPhase spaces -- Vector fields on the line -- Linear equatins -- Phase flows -- The action of diffeomorphisms on vector fields a and direction fields -- Symmetries -- Rectiftcation theorems -- Applications to equations of higher order than first -- The phase curves of an autonomous system -- The derivative in the direction of a vector field and first integrals -- First-order linear and quasi-linear partial differential equations -- The conservative systems with one degree of freedom -- The exponential fuction -- Propierties of the exponential -- The determinant of an esponential -- Practical computation of the matrix od an exponential - the case when eigenvalues are real and distinet -- Complexification and realification -- The linear equation with a complex phase space -- The complexification of a real linear equation -- The classification of singular points of linear systems -- The topological classification of singular points -- Stability of equilibrium positions -- The case of purely imaginary eigencalues -- The case of multiple eigenvalues -- Quasi polynomials -. Nonautonomous linear equations -- Linear equations with peridic coefficients -- Conttraction mappings -- Proof of the theorems on existence and continuos dependence on the intial conditons -- Differential equations on manifolds.
520	3		_aThis book is an excellent text for a course whose goal is a mathematical treatment of differential equations and the related physical systems." L'Enseignment Mathematique "... Arnold's book is unique as a sophisticated but accessible introduction to the modern theory, and we should be grateful that it exists in a convenient language." Mathematical Association of America Monthly
650		0	_aDifferential equations _9528
650		0	_aEcuaciones diferenciales _9199
942			_2ddc _cLIBRO
999			_c725