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040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082	0	0	_a517.91 _bFER-O
100	1		_aFernández-Cara, Enrique
245	1	0	_aOrdinary differential equations and applications
260			_aNew Jersey : _bWorld Scientific, _c2024.
300			_axxiv, 325 pages : _billustrations (some color) ; _c24 cm.
490	0		_aEssential textbooks in mathematics, _x2059-7657
504			_aIncludes bibliographical references (pages 317-322) and index.
520			_aDifferential equations can bring mathematics to life, describing phenomena originating in physics, chemistry, biology, economics, and more. Used by scientists and engineers alike, differential equations are also the starting point of much purely mathematical activity. They also play a role in the formulation and resolution of problems in harmonic analysis, differential geometry, and probability calculus. A large part of functional analysis has therefore been motivated by the need to solve questions in the analysis of differential systems, as with numerical analysis. Differential equations are doubly relevant, then: as significant in many areas of mathematics, and as important machinery for applying mathematics to real-world problems. This book therefore aims to provide a rigorous introduction to the theoretical study of differential equations, and to demonstrate their utility with applications in many fields. Ordinary Differential Equations and Applications originates from several courses given by the author for decades at the University of Seville. It aims to bring together rigorous mathematical theory and the rich variety of applications for differential equations. The book examines many aspects of differential equations: their existence, uniqueness, and regularity, alongside their continuous dependence on data and parameters. Delving into permanent interpretation of the laws of differential equations, we also look at the role of data and how their solutions behave. Each chapter finishes with a collection of exercises, many of which also contain useful hints.
521			_aReadership: Undergraduate and graduate students, especially those interested by the role played by differential equations in mathematics and science in general.
650		0	_aDifferential equations _vTextbooks.
856			_3Table of contents _uhttps://www.worldscientific.com/doi/reader/10.1142/9781800613942_fmatter
856			_3Reviews _uhttps://www.goodreads.com/book/show/125058361-ordinary-differential-equations-and-applications?ref=nav_sb_ss_1_22#CommunityReviews
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