000			03536cam a22004337i 4500
001			18478261
005			20230530132653.0
008			150203t20152015sz a b 001 0 eng d
010			_a 2015932461
020			_a9783319164076 (pbk. : alk. paper)
020			_a3319164074 (pbk. : alk. paper)
020			_a9783319164083 (ebook)
020			_a3319164082 (ebook)
035			_a(OCoLC)ocn913199782
040			_aCDX _beng _cCDX _erda _dYDXCP _dTXA _dOCLCF _dDLC
042			_alccopycat
050	0	0	_aQA 372 .A363 2015
100	1		_aAhmad, Shair, _eauthor.
245	1	2	_aA textbook on ordinary differential equations / _cShair Ahmad, Antonio Ambrosetti.
250			_aSecond edition.
260			_aChan Heidelberg: _bSpringer, _c2015
300			_axiv, 321 pages : _billustrations ; _c24 cm.
490	1		_aUnitext - La matematica per il 3+2, _x2038-5722 ; _vvolume 88
504			_aIncludes bibliographical references and index.
505	0		_aFirst order linear differential equations -- Theory of first order differential equations -- First order nonlinear differential equations -- Existence and uniqueness for systems and higher order equations -- Second order equations -- Higher order linear equations -- Systems of first order equations -- Qualitative analysis of 2x2 systems and nonlinear second order equations -- Sturm Liouville eigenvalue theory -- Solutions by infinite series and Bessel functions -- Laplace transform -- Stability theory -- Boundary value problems -- Appendix A. Numerical methods -- Answers to selected exercises.
520			_aThis book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. --
650		0	_aDifferential equations _xNumerical solutions.
650		0	_aDifferential equations _vProblems, exercises, etc.
650		0	_aDifferential equations, Linear.
650		0	_aDifferential equations, Linear _xNumerical solutions.
650		7	_aDifferential equations. _2fast
650		7	_aDifferential equations, Linear. _2fast
650		7	_aDifferential equations, Linear _xNumerical solutions. _2fast
650		7	_aDifferential equations _xNumerical solutions. _2fast
655		7	_aProblems and exercises. _2fast
700	1		_aAmbrosetti, A. _q(Antonio), _eauthor.
830		0	_aUnitext ; _v88.
942			_2lcc _cBOOKS _hQA 372 .A363 2015
999			_c31585 _d31585