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010 _a 2024059687
020 _a9789819801725
_q(ebook)
020 _a9819801729
_q(ebook)
020 _z9789819801718
_q(hbk.)
020 _z9819801710
_q(hbk.)
040 _aWSPC
_beng
_cWSPC
050 4 _aQA372
072 7 _aMAT
_x007010
_2bisacsh
072 7 _aMAT
_x007000
_2bisacsh
072 7 _aMAT
_x005000
_2bisacsh
082 0 4 _a515/.352
_223
049 _aMAIN
100 1 _aMoskowitz, Martin A.
245 1 2 _aCourse in ordinary differential equations with applications /
_cMartin A. Moskowitz.
260 _aSingapore :
_bWorld Scientific,
_cc2025.
300 _a1 online resource (xiv, 268 p.)
504 _aIncludes bibliographical references and index.
505 0 _aAn introduction to first-order ordinary differential equations -- Planetary motion -- Second-order ordinary differential equations -- Some more advanced topics in ODEs -- Approximation of solutions -- Minding's theorem, Sturm's comparison theorem and other results concerning the application of ODE to the differential geometry of surfaces -- 2 × 2 linear systems -- Autonomous dynamical systems and the Poincare-Bendixson theorem -- Matrix differential equations and the matrix exponential function -- Classical partial differential equations of the second order -- An introduction to the calculus of variations -- The Gauss Bonnet theorem for surfaces in R3 -- Appendices.
520 _a"This book was written for advanced undergraduate math or science majors. Its initial purpose was to illustrate the elementary mathematical theory of ordinary differential equations and their diverse and powerful applications. Historically these have been decisive in many physical problems, some of which have philosophically challenged and indeed altered our civilization's concepts. Because of the importance of the subject, the book is also suitable for a one-semester course for graduate students. The book consists of 12 chapters and six appendices"--
_cPublisher's website.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
650 0 _aDifferential equations.
655 0 _aElectronic books.
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/14066#t=toc
942 _cE-BOOK
999 _c49795
_d49795