000			02191cam a22003497a 4500
999			_c3234
003			EC-UrYT
005			20200513123942.0
006			s||||gr|||| 00| 00
008			060511s2006 gw a b 001 0 eng d
020			_a9780262510189 (pbk)
020			_a0262510189 (pbk)
040			_aBYT _cLWU _dEC-UrYT
041			_aeng
082	0	4	_222 _a515.352
100	1		_aArnolʹd, V. I. _q(Vladimir Igorevich), _d1937-2010 _92758
245	1	0	_aOrdinary differential equations / _cVladimir I. Arnold ; translated from the Russian by Richard A. Silverman
250			_aFirst edition
264	3	4	_aCambridge : _bMIT Press, _c1973.
300			_avii, 280 pages : _billustrations ; _c24 cm.
500			_aTranslation of: Obyknovennye differentsialʹnye uravneniya
504			_aIncludes bibliographical references and index.
505	2		_aBasic concepts -- Basic theorems -- Linear systems -- Proofs of the basic theorems -- Differential equations on manifolds.
520	3		_aAlthough there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of one-parameter groups of linear transformations (equivalent to the theory of linear autonomous systems).
650		0	_aDifferential equations _9528
650		0	_aEcuaciones diferenciales _9199
942			_2ddc _cLIBRO