001453479 000__ 03700cam\a2200517\i\4500
001453479 001__ 1453479
001453479 003__ OCoLC
001453479 005__ 20230314003353.0
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001453479 008__ 221206s2023\\\\sz\a\\\\o\\\\\001\0\eng\d
001453479 019__ $$a1352243393$$a1352967060
001453479 020__ $$a9783031115318$$q(electronic bk.)
001453479 020__ $$a3031115317$$q(electronic bk.)
001453479 020__ $$z3031115309
001453479 020__ $$z9783031115301
001453479 0247_ $$a10.1007/978-3-031-11531-8$$2doi
001453479 035__ $$aSP(OCoLC)1353295821
001453479 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCQ
001453479 049__ $$aISEA
001453479 050_4 $$aQA371
001453479 08204 $$a515/.35$$223/eng/20221206
001453479 1001_ $$aMagnus, Robert,$$eauthor.
001453479 24510 $$aEssential ordinary differential equations /$$cRobert Magnus.
001453479 264_1 $$aCham :$$bSpringer,$$c[2023]
001453479 264_4 $$c©2023
001453479 300__ $$a1 online resource (xi, 283 pages) :$$billustrations.
001453479 336__ $$atext$$btxt$$2rdacontent
001453479 337__ $$acomputer$$bc$$2rdamedia
001453479 338__ $$aonline resource$$bcr$$2rdacarrier
001453479 4901_ $$aSpringer undergraduate mathematics series
001453479 500__ $$aIncludes index.
001453479 5050_ $$a1. Linear Ordinary Differential Equations -- 2. Separation of Variables -- 3. Series Solutions of Linear Equations -- 4. Existence Theory -- 5. The Exponential of a Matrix -- 6. Continuation of Solutions -- 7. Sturm-Liouville Theory -- Afterword.
001453479 506__ $$aAccess limited to authorized users.
001453479 520__ $$aThis textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics. Informed by the authors extensive teaching experience, the book presents a series of carefully selected topics that, taken together, cover an essential body of knowledge in the field. Each topic is treated rigorously and in depth. The book begins with a thorough treatment of linear differential equations, including general boundary conditions and Greens functions. The next chapters cover separable equations and other problems solvable by quadratures, series solutions of linear equations and matrix exponentials, culminating in SturmLiouville theory, an indispensable tool for partial differential equations and mathematical physics. The theoretical underpinnings of the material, namely, the existence and uniqueness of solutions and dependence on initial values, are treated at length. A noteworthy feature of this book is the inclusion of project sections, which go beyond the main text by introducing important further topics, guiding the student by alternating exercises and explanations. Designed to serve as the basis for a course for upper undergraduate students, the prerequisites for this book are a rigorous grounding in analysis (real and complex), multivariate calculus and linear algebra. Some familiarity with metric spaces is also helpful. The numerous exercises of the text provide ample opportunities for practice, and the aforementioned projects can be used for guided study. Some exercises have hints to help make the book suitable for independent study.
001453479 588__ $$aDescription based on print version record.
001453479 650_0 $$aDifferential equations.
001453479 655_0 $$aElectronic books.
001453479 77608 $$iPrint version:$$aMAGNUS, ROBERT.$$tESSENTIAL ORDINARY DIFFERENTIAL EQUATIONS.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2022$$z3031115309$$w(OCoLC)1330688921
001453479 830_0 $$aSpringer undergraduate mathematics series.
001453479 852__ $$bebk
001453479 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-11531-8$$zOnline Access$$91397441.1
001453479 909CO $$ooai:library.usi.edu:1453479$$pGLOBAL_SET
001453479 980__ $$aBIB
001453479 980__ $$aEBOOK
001453479 982__ $$aEbook
001453479 983__ $$aOnline
001453479 994__ $$a92$$bISE