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003 http://www.sudoc.fr/242193455
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010 _a9783030205065
010 _a3-030-20506-1
010 _a3-030-20505-3
010 _a978-3-030-20505-8
010 _a978-3-030-20507-2
010 _a3-030-20507-X
010 _a978-3-030-20508-9
010 _a3-030-20508-8
010 _z9783030205058
017 7 0 _a10.1007/978-3-030-20506-5
_2DOI
020 _aGB
_bB9F5377
090 _a16024
099 _tOUVR
_zALEX31874
100 _a20200204d2019 u y0engy50 ba
101 0 _aeng
_2639-2
102 _aCH
105 _ay a 001|y
135 _a|r|||||||||||
181 _6z01
_ctxt
_2rdacontent
181 1 _6z01
_ai#
_bxxxe##
182 _6z01
_cc
_2rdamedia
182 1 _6z01
_ab
183 1 _6z01
_anga
_2RDAfrCarrier
200 1 _aDifferential equations
_efor scientists and engineers
_fAllan Struthers, Merle Potter
205 _aSecond edition.
214 0 _aCham, Switzerland
_cSpringer
_d2019
215 _a1 online resource (xvii, 514 pages)
320 _aIncludes bibliographical references and index.
327 1 _aChapter 1: Essentials of linear algebra
_aChapter 2: First-order differential equations
_aChapter 3: Linear systems of differential equations
_aChapter 4: Higher order differential equations
_aChapter 5: Laplace transforms
_aChapter 6: Nonlinear systems of differential equations
_aChapter 7: Numerical methods for differential equations
_aChapter 8: Series solutions for differential equations
_aAppendix A: Review of integration techniques
_aAppendix B: Complex numbers
_aAppendix C: Roots of polynomials
_aAppendix D: Linear transformations
_aAppendix E: Solutions to selected exercises
330 _aThis book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations
345 _aSpringer Nature
_bcom.springer.onix.9783030205065
606 _aDifferential equations
_2lc
676 _a515/.35
_v23
680 _aQA371
700 1 _aStruthers
_bA.
_gAllan A.
_4070
702 1 _aPotter
_bMerle C.
_4070
856 _uhttp://link.springer.com/openurl?genre=book&isbn=978-3-030-20506-5
_zLivre &eacute;lectronique<br /